_______________________________________
www.calottery.com/games/megamillions/winningnumbers/pastwinningnumbers.htm
https://www6.state.nj.us/LOT_SEARCHES/WinnerSearch
________________________________________
01 10 22 23 38 19 01/29/2010
07 08 38 39 48 22
08 13 27 28 52 09
04 05 34 38 41 18
04 07 19 21 38 29
05 09 31 37 56 16
18 20 31 36 43 33
13 28 39 50 55 10
06 08 27 40 41 21
02 35 05 29 51 03 Draw # 472;12-29-2009
52 04 44 16 54 20
39 35 45 03 33 13
44 49 30 20 10 24
32 27 31 36 47 35
34 21 27 02 44 45
28 30 20 46 23 29
51 41 33 04 56 38
53 17 52 39 30 21
12 25 39 45 37 11
37 35 50 10 11 12
03 04 56 07 16 39
22 50 08 49 27 28
54 43 49 45 27 44
37 34 29 21 08 15
40 11 46 07 27 08
23 38 31 05 18 20
15 38 04 29 17 20
46 07 13 51 37 02
54 48 45 56 27 02
45 17 55 25 13 08
51 10 13 18 33 43
17 51 45 34 31 24
21 14 51 24 03 14
56 09 51 53 33 39
53 55 15 51 24 11
45 21 50 25 02 21
27 07 52 49 42 19
29 26 33 46 39 24
31 52 18 27 36 33
29 35 41 30 32 39
48 27 54 16 49 02
18 04 10 50 28 35
44 06 04 21 02 37
02 28 53 51 09 19
37 01 17 31 54 31
40 19 22 03 12 02
49 09 44 38 48 13
05 56 37 26 04 25
35 25 08 22 33 46
06 12 15 42 32 40
07 35 45 18 56 03
28 01 50 42 34 27
56 35 44 17 52 22
48 04 17 24 25 34
06 51 03 43 52 36
50 08 21 03 52 02
47 17 50 40 08 13
20 35 53 45 29 41
10 05 26 27 28 04
39 25 27 38 35 28
11 06 07 05 25 31
55 49 54 07 34 34
15 17 29 46 11 16
12 31 16 50 14 09
04 09 46 16 12 44
15 21 26 09 45 25
06 44 11 32 20 38
31 05 17 36 56 46
52 38 20 05 41 20
13 26 30 35 09 33
23 36 39 30 48 34
55 21 18 09 37 33
49 34 03 29 42 29
09 04 42 15 02 13
48 12 24 07 36 27
08 51 10 04 14 31
12 32 29 27 34 34
23 38 39 54 05 03
40 09 16 43 24 35
44 36 15 20 24 06
09 21 49 20 48 07
37 24 47 05 52 06
13 05 35 26 45 32
22 48 50 11 04 42
42 18 25 51 36 22
04 02 13 36 17 15
39 22 16 38 48 42
14 47 53 39 48 29
15 50 38 24 10 19
44 25 04 34 43 45
20 39 40 15 16 26
28 09 24 15 31 17
46 12 26 50 10 23
39 31 02 40 27 23
55 46 11 37 18 45
35 43 52 26 32 10
56 37 50 24 44 35
40 01 27 35 28 06
45 21 55 28 41 24
23 27 01 09 33 24
25 37 51 40 36 20
47 29 38 18 43 07
28 12 31 18 02 03
29 56 43 04 15 29
19 53 16 13 55 02
12 03 21 11 14 25
20 17 02 27 28 07
46 35 10 09 01 09
04 02 39 51 21 29
25 33 22 36 48 40
45 50 25 23 30 08
11 19 12 03 33 30
34 02 11 21 19 38
44 29 52 22 01 39
19 37 06 29 33 31
13 27 01 08 41 45
54 39 16 13 03 32
10 14 29 40 16 06
27 16 10 19 48 25
33 11 31 26 12 27
46 27 21 55 52 14
32 17 02 22 51 35
46 30 48 44 10 44
11 22 51 52 02 46
52 56 01 22 53 45
53 52 10 22 15 12
03 19 34 18 30 03
55 27 38 42 05 41
24 32 14 43 44 21
23 41 21 10 55 09
17 29 02 47 07 40
48 06 45 46 39 36
52 33 05 34 47 18
42 16 44 19 39 38
27 07 15 28 31 35
14 41 42 51 35 23
48 15 43 46 14 21
42 38 02 25 35 34
52 32 41 13 28 16
39 35 09 49 30 36
31 36 06 14 13 36
09 32 43 34 52 04
09 02 48 51 41 37
51 24 39 52 13 44
14 01 35 25 12 38
22 28 49 52 23 02
15 06 27 01 46 39
43 14 44 23 54 39
50 21 25 26 51 22
16 34 24 06 36 30
42 12 13 41 15 37
40 18 19 26 09 38
08 29 30 23 53 07
07 38 40 02 23 40
11 32 17 28 50 33
38 55 09 21 36 13
56 18 13 09 17 02
30 11 20 42 13 03
16 19 52 02 35 17
16 29 23 02 32 46
55 36 29 53 17 26
45 24 51 19 34 40
51 39 14 05 16 34
29 22 20 41 01 35
19 03 01 12 20 28
33 22 01 52 43 36
14 50 22 08 39 44
53 22 36 10 50 39
36 42 25 11 17 13
14 05 47 49 25 36
38 09 08 14 44 36
15 03 51 05 43 11
43 44 09 54 08 27
54 32 19 04 24 05
40 55 47 39 53 32
49 32 24 14 45 17
11 08 22 04 30 04
26 02 41 14 32 32
47 11 46 39 06 26
20 47 31 27 24 15
16 56 31 43 46 22
46 53 04 21 54 26
37 08 53 28 55 26
44 51 24 35 19 26
22 48 03 31 54 09
53 28 36 50 24 29
48 12 50 27 13 30
18 27 14 42 31 07
08 09 44 31 37 38
03 49 05 40 45 17
56 17 26 04 46 25
27 40 26 07 43 10
43 53 42 48 38 12
08 05 41 19 17 21
20 13 44 15 25 37
25 03 12 18 52 21
47 13 04 41 35 44
41 32 48 33 19 12
56 30 07 15 33 22
26 55 17 22 05 38
12 09 55 30 36 15
12 22 19 07 13 10
56 55 42 01 38 34
11 30 53 26 07 14
47 39 27 14 50 12
30 21 43 50 46 18
40 04 05 51 17 38
44 56 03 30 14 05 Draw# 273;02-01-2008
____________________________________________
www.calottery.com/Games/superlottoplus/WinningNumbers/pastwinningnumbers.htm
http://www.calottery.com/CaLottery_es/Templates/Common/TwoColumnTearRightNbrsSearches.aspx?NRMODE=Published&NRORIGINALURL=%2fWinnersGallery%2fAmazingStats%2fWinnersSearch%2f&NRNODEGUID=%7b511BB9DA-13AB-4F45-8483-59B340B8820C%7d&NRCACHEHINT=NoModifyGuest
___________________________________________
20 08 21 19 41 03 Draw # 2372; 12-26-09
14 29 28 08 18 02
19 37 44 40 30 06
19 31 13 41 18 12
30 05 32 06 03 17
05 27 44 14 30 17
42 44 05 30 29 20
42 33 31 22 16 19
12 33 17 42 26 20
13 01 14 47 10 20
34 43 35 30 28 02
45 24 12 06 10 10
37 33 38 47 15 16
04 28 06 15 24 27
39 44 34 06 10 01
38 29 39 01 12 19
06 15 10 18 23 22
33 27 31 38 19 01
11 01 26 32 10 10
22 30 47 33 43 25
36 47 06 08 03 13
12 13 38 30 26 24
11 06 02 16 43 12
18 44 08 01 26 04
25 45 13 29 46 05
04 39 20 18 23 14
13 47 34 07 39 03
22 41 01 04 42 13
46 17 06 44 33 18
18 05 28 17 22 10
05 24 47 30 41 15
02 47 27 37 41 26
33 05 25 17 02 18
09 41 27 13 42 27
13 37 06 14 36 12
07 36 42 06 18 23
32 26 06 05 16 22
35 25 41 29 20 25
07 09 47 25 29 24
36 08 29 05 47 23
23 44 31 46 40 10
41 28 27 23 22 17
39 06 26 13 18 24
19 25 39 08 12 17
47 12 36 20 04 13
31 32 45 26 43 18
24 34 10 23 40 20
03 01 06 41 25 10
21 18 12 28 24 26
08 18 31 22 03 02
01 06 11 17 33 13
37 10 15 17 38 17
42 25 27 15 07 24
23 18 37 03 13 25
40 23 16 41 35 12
30 24 16 44 21 06
44 06 11 29 31 01
36 20 09 11 30 11
37 31 29 12 47 03
03 18 36 43 12 15
47 39 23 22 31 03
05 07 08 14 35 26
38 07 23 39 15 21
36 35 06 27 02 01
27 05 19 42 36 27
26 15 42 11 32 18
43 42 26 07 06 01
28 24 23 26 29 11
38 20 29 01 34 27
02 05 32 08 21 20
06 46 40 26 36 19
44 20 06 36 05 18
35 41 18 29 13 19
35 34 43 07 18 25
04 02 34 12 46 16
18 30 21 12 19 04
08 21 46 18 41 24
04 17 07 31 33 01
30 12 27 14 29 27
03 31 23 07 36 16
45 34 38 07 28 06
44 26 38 45 37 09
43 31 22 45 36 16
47 34 15 38 08 02
17 46 39 34 40 04
05 24 12 06 44 12
08 16 29 28 21 01
13 23 01 19 25 12
30 27 32 38 25 02
40 23 10 06 01 18
29 15 26 40 42 25
23 04 34 15 11 26
23 24 44 14 25 18
35 45 23 33 04 14
35 43 34 04 38 17
13 21 26 41 08 20
05 29 25 22 35 07
15 37 29 21 06 10
08 17 26 20 38 19
01 39 19 44 45 08
38 25 31 29 30 25
40 17 41 35 30 02
37 44 05 14 47 25
03 42 13 40 29 09
38 19 14 32 22 01
26 07 23 40 10 26
15 10 46 47 16 22
34 46 42 41 20 26
20 32 45 25 22 12
30 46 38 33 47 11
26 29 15 45 37 22
25 15 34 14 19 08
32 06 36 21 04 03
37 41 06 47 07 13
01 17 21 20 12 25
13 18 46 20 17 06
18 29 39 27 08 23
45 42 37 22 02 19
47 16 35 07 40 24
10 32 31 26 40 23
28 03 38 11 30 12
03 29 28 41 20 14
25 43 45 24 03 20
36 27 15 13 26 10
09 39 27 36 11 10
10 07 23 24 40 26
37 38 33 25 30 01
18 17 25 06 13 09
33 42 15 08 25 23
20 36 05 13 15 24
31 07 32 21 04 26
40 41 20 01 06 18
33 23 12 44 37 05
19 26 40 27 47 21
19 21 13 41 06 16
36 32 07 25 27 12
06 35 47 07 34 23
07 22 05 11 20 11
04 02 20 41 13 22
10 20 42 36 18 25
47 29 13 22 43 04
30 08 37 10 03 13
16 36 06 25 26 19
23 08 32 39 12 25
24 39 11 09 14 17
17 38 06 41 11 25
12 03 47 01 06 22
03 12 11 29 25 21
09 14 28 07 41 11
33 02 06 36 09 20
29 41 40 33 10 19
22 10 35 19 12 16
28 32 47 20 19 22
44 46 41 13 02 26
22 27 28 32 07 20
40 44 33 21 20 02
41 29 10 14 17 26
05 30 44 41 17 14
41 30 10 29 33 18
20 44 11 30 27 13
28 09 37 07 26 18
31 39 14 42 30 15
33 04 29 23 44 05
07 33 25 44 22 03
06 08 25 11 29 04
03 10 28 04 39 26
02 19 31 04 42 12
13 01 44 20 30 20
46 35 13 41 24 05
19 37 43 07 29 22
20 24 33 25 11 23
26 45 42 35 17 04
44 22 10 08 33 10
40 35 14 34 13 16
12 17 20 31 04 20
06 22 21 38 34 14
06 03 19 25 05 20
13 05 14 37 27 09
40 34 15 19 20 17
42 05 23 43 17 19
06 07 24 02 31 03
43 05 29 07 21 22
18 34 11 01 19 13
35 28 09 08 10 09
47 04 16 05 43 20
31 14 40 15 23 07
29 11 22 04 31 12
19 16 39 10 21 15
17 14 41 19 18 26
20 47 04 34 10 19
22 35 36 17 47 25
22 15 23 40 42 15
33 41 02 25 35 10
02 41 06 17 45 01
33 22 41 25 45 09
45 23 46 19 02 16
34 30 39 41 23 01
31 02 46 20 30 27
16 10 43 35 11 09
47 10 18 40 28 22 Draw # 2173; 01-30-2008
Wednesday, December 30, 2009
How to control your dream
Category: Dreams and the Supernatural
1. Throughout the day, while you are awake, ask yourself, "Is this a dream?" anytime something odd happens or even when nothing out of the ordinary happens. The trick is not to answer the question with an immediate "Of course I am not dreaming!". Come up with a consistent way to check if you are awake or asleep. For example, checking the time on a clock and then quickly check it again. If you are dreaming, the time will always dramatically change at the second glance. Or, if you are reading something, look away and then read it again. Again, if you dreaming, whatever you are reading will be completely different when you look at it the second time. As you keep asking yourself this question during the day, the question will become second nature. Eventually, you will automatically ask the question in your dreams. When you do your check to see if you are awake or asleep, you are well on your way to lucidity.
2. Utilize a counting method to enter lucidity. As you are laying down to go to sleep, start counting. One, I am dreaming. Two, I am dreaming. Three, I am dreaming. At some point, you will say, fifty-one, I am dreaming, and by then you are really dreaming.
3. Identify your dream signals. These are objects, images or actions in your dream that serve as cues or markers to let you know that you are dreaming. Anything can be a dream signal and is unique to each individual dreamer. It may help to read through your dream journal and select an image that constantly appears in your dreams. By selecting a recurring image, then it has a better chance of appearing in your future dreams. When you are ready for bed, tell yourself that "when I see an apple, then I know I am dreaming." or whatever dream signal you have chosen.
4. Use your dream signs to let you know that you are dreaming. When an anomaly or something impossible occurs in your dream, do not ignore it or try to rationalize it. Let this odd occurrence be an indicator that you are dreaming. Some common dream signs include flying, walking through walls or the appearance of someone who is dead in real life.
5. Finally, encourage your lucid dreams, but do not force them, as your efforts may have an opposite effect. You may use the above techniques in conjunction with one another. Tell yourself that you will have a lucid dream tonight. It is important to relax and be patient. As you improve your lucid dreaming, you can even learn to "write" your own dream scripts. Your sense of smell and touch will become heightened. Before going to bed, tell yourself what you want to dream and what area you want to explore. Source(s): http://dreammoods.com/
1. Throughout the day, while you are awake, ask yourself, "Is this a dream?" anytime something odd happens or even when nothing out of the ordinary happens. The trick is not to answer the question with an immediate "Of course I am not dreaming!". Come up with a consistent way to check if you are awake or asleep. For example, checking the time on a clock and then quickly check it again. If you are dreaming, the time will always dramatically change at the second glance. Or, if you are reading something, look away and then read it again. Again, if you dreaming, whatever you are reading will be completely different when you look at it the second time. As you keep asking yourself this question during the day, the question will become second nature. Eventually, you will automatically ask the question in your dreams. When you do your check to see if you are awake or asleep, you are well on your way to lucidity.
2. Utilize a counting method to enter lucidity. As you are laying down to go to sleep, start counting. One, I am dreaming. Two, I am dreaming. Three, I am dreaming. At some point, you will say, fifty-one, I am dreaming, and by then you are really dreaming.
3. Identify your dream signals. These are objects, images or actions in your dream that serve as cues or markers to let you know that you are dreaming. Anything can be a dream signal and is unique to each individual dreamer. It may help to read through your dream journal and select an image that constantly appears in your dreams. By selecting a recurring image, then it has a better chance of appearing in your future dreams. When you are ready for bed, tell yourself that "when I see an apple, then I know I am dreaming." or whatever dream signal you have chosen.
4. Use your dream signs to let you know that you are dreaming. When an anomaly or something impossible occurs in your dream, do not ignore it or try to rationalize it. Let this odd occurrence be an indicator that you are dreaming. Some common dream signs include flying, walking through walls or the appearance of someone who is dead in real life.
5. Finally, encourage your lucid dreams, but do not force them, as your efforts may have an opposite effect. You may use the above techniques in conjunction with one another. Tell yourself that you will have a lucid dream tonight. It is important to relax and be patient. As you improve your lucid dreaming, you can even learn to "write" your own dream scripts. Your sense of smell and touch will become heightened. Before going to bed, tell yourself what you want to dream and what area you want to explore. Source(s): http://dreammoods.com/
Friday, December 25, 2009
Nurse Aide Exam caring4you.net/tests.html
www.asisvcs.com/publications/pdf/069912.pdf - Nurse Aide Exam www.testprepreview.com/nursing_practice.htm
www.docnmail.com/tests/medical/cna.htm - Free & AffordableNursing Assistant Assessment, Study Guides & Test Prep
www.docnmail.com/resources.htm - Free & AffordableOnline Practice Tests, Certifications& Exam Prep Books, Study Guides and Courses
www.docnmail.com/tests/medical/nursing.htm - Free & AffordableNursing & Nurse Specialties Assessment, Study Guides & Test Prep
www.docnmail.com/tests/healthcare.htm - Free & AffordableHealthcare & Therapy Exam Assessment, Study Guides & Test Prep
www.docnmail.com/tests/medical.htm - Free & AffordableMedical, Dental & HealthcareAssessment, Study Guides & Test Prep
Sunday, December 20, 2009
Food Chart Vitamns Minerals
www.changingshape.com/resources/references/vmchart.asp
Vitamin/Mineral
Sources
Indication
Efficacy
Claims
Fat Soluble Vitamins can be stored in the body and need not be consumed daily. While it is difficult to "overdose" on them from ordinary sources, consuming mega doses of fat soluble vitamins, especially A and D, can lead to a dangerous buildup in the body.
Abbreviations: IU=International Units; mg=milligrams; mcg=micrograms.
Vitamin ARetinolMen: 3 000 IUWomen: 2 700 IU
Liver, fortified Milk (Retinol form - see below for Carotene sources.)
Essential for eyes, skin and the proper function of the immune system. Helps maintain hair, bones and teeth.
Deficiency: Night blindness; reduced hair growth in children; loss of apetite; dry, rough skin; lowered resistance to infection; dry eyes.
Overdose: Headaches; blurred vision; fatigue; diarrhea; irregular periods; joint and bone pain; dry, cracked skin; rashes; loss of hair; vomiting, liver damage.
Beta Carotene(Pro-Vitamin A)(See Vitamin A)
Carrots, Squash, Broccoli, Green Leafy Vegetables
Antioxidant. Converted to Vitamin A in the body. (See Vitamin A)
The antioxidant properties of this nutrient may be a factor in reducing the risk of certain forms of cancer.
Vitamin DMen: 100 IUWomen: 100 IU
Egg Yolk, Milk, Exposure to sun enables body to make its own Vitamin D.
Helps build and maintain teeth and bones. Enhances calcium absorption.
Deficiency: Rickets in children; bone softening in adults; osteoporosis.
Overdose: Calcium deposits in organs; fragile bones; renal and cardiovascular damage.
Vitamin EMen: 9-10 mgWomen: 6-7 mg
Corn or Cottonseed Oil, Butter, Brown Rice, Soybean Oil, Vegetable oils such as Corn, Cottonseed or Soybean, Nuts, Wheat Germ.
Antioxidant. Helps form red blood cells, muscles and other tissues. Preserves fatty acids.
Deficiency: Rare, seen primarily in premature or low birth weight babies or children who do not absorb fat properly. Causes nerve abnormalities.
Overdose: Unknown.
The antioxidant properties of this nutrient may be a factor in reducing the risk of certain forms of cancer.
Vitamin KNone established.Estimated at 0.03 mcg/kg
Green Vegetables, Liver, also made by intestinal bacteria.
Needed for normal blood clotting.
Deficiency:Defective blood coagulation.
Overdose: Jaundice in infants.
Water Soluble Vitamins are not stored in the body and should therefore be consumed daily.
ThiamineVitamin B1Men: 0.8 - 1.3 mgWomen: 0.8 mg
Sunflower Seeds, Pork, whole and enriched Grains, dried Beans.
Necessary for carbohydrate metabolism and muscle coordination. Promotes proper nerve function.
Deficiency:Anxiety; hysteria; depression; muscle cramps; loss of apetite; in extreme cases beriberi (mostly in alcoholics).
Overdose:Unknown, although excess of one B vitamin may cause deficiency of others.
RiboflavinVitamin B2Men: 1.3 - 1.6 mgWomen: 1.1 mg
Liver, Milk, Spinach, enriched Noodles, Mushrooms.
Needed for metabolism of all foods and the release of energy to cells. Essential to the functioning of Vitamin B6 and Niacin.
Deficiency: Cracks and sores around the mouth and nose; visual problems.
Overdose: See Vitamin B1.
NiacinVitamin B3Men: 16-23 mgWomen: 14-16 mgNiacin is converted to niacinamide in the body.
Mushrooms, Bran, Tuna, Chicken, Beef, Peanuts, enriched Grains.
Needed in many enzymes that convert food to energy. Helps maintain a healthy digestive tract and nervous system. In very large doses, lower cholesterol (large doses should only be taken under the advice of a physician).
Deficiency:In extreme cases, pellagra, a disease characterized by dermatitis, diarrhea and mouth sores.
Overdose:Hot flashes; ulcers; liver disorders; high blood sugar and uric acid; cardiac arrythmias.
Pantothenic AcidVitamin B5Men: 2.5 mgWomen: 2.5 mg
Abundant in animal tissues, whole grain cereals and legumes.
Converts food to molecular forms. Needed to manufacture adrenal hormones and chemicals that regulate nerve function.
Deficiency:Unclear in humans.
Overdose:See Vitamin B1.
Vitamin B6PyridoxineMen: 1.8 mgWomen: 1.5 mg
Animal protein foods, Spinach, Broccoli, Bananas.
Needed for protein metabolism and absorption, carbohydrate metabolism. Helps form red blood cells. Promotes nerve and brain function.
Deficiency:Anemia, irritability, patches of itchy, scaling skin; convulsions.
Overdose:Nerve damage.
Vitamin B12CyanocobalaminMen: 2 mcgWomen: 2 mcg
Found almost exclusively in animal products.
Builds genetic material. Helps form red blood cells.
Deficiency:Pernicious anemia; nerve damage. (Note: Deficiency rare except in strict vegetarians, the elderly or people with malabsorption disorders.)
Overdose:See Vitamin B1.
Biotin60 mcg
Cheese, Egg, Yolk, Cauliflower, Peanut Butter
Needed for metabolism of glucose and formation of certain fatty acids. Essential for proper body chemistry.
Deficiency:Seborrhic dermatitis in infants. Rare in adults, but can be induced by consuming large amounts of egg whites - anorexia, nausea, vomiting, dry scaly skin.
Overdose:See Vitamin B1
Folic Acid (Folacin)Men: 180-220 mgWomen: 160-190 mg
Green, leafy vegetables, Orange Juice, organ Meats, Sprouts.
Essential for the manufacture of genetic material as well as protein metabolism and red blood cell formation.
Deficiency: Impaired cell division; anemia; diarrhea; gastrointestinal upsets.
Overdose: Convulsions in epileptics. May mask pernicious anemia (see Vitamin B12 deficiency).
Adequate amounts of this nutrient in the first stage of pregnancy may reduce the risks of neural tube birth defects.
Vitamin CAscorbic AcidMen: 40 mgWomen: 30 mg
Citrus Fruits, Strawberries, Broccoli, Green Peppers
Antioxidant. Helps bind cells together and strengthens blood vessel walls. Helps maintain healthy gums. Aids in the absorption of iron.
Deficiency: Muscle weakness, bleeding gums; easy bruising. In extreme cases, scurvy.
Overdose: Unknown.
The antioxidant properties of this nutrient may be a factor in reducing the risk of certain forms of cancer. May reduce the effects of the common cold.
Minerals in organic products essential for body functions.
CalciumMen: 800 - 1000 mgWomen: 700-800 mg
Milk, Yogurt, Cheese, Sardines, Broccoli, Turnip Greens.
Helps build strong bones and teeth. Promotes muscle and nerve function. Helps blood to clot. Helps activate enzymes needed to convert food to energy.
Deficiency: Rickets in children; osteomalacia (soft bones) and osteoporosis in adults.
Overdose: Constipation, Kidney Stones, calcium deposits in body tissues. Hinders absorption of iron and other minerals.
PhosphorusMen: 1000 mgWomen: 850 mg (3-6 g)
Chicken Breast, Milk, Lentils, Egg Yolks, Nuts, Cheese
With calcium builds bones and teeth. Needed for metabolism, body chemistry, nerve and muscle function.
Deficiency: (Rare) Weakness; bone pain; Anorexia.
Overdose: Hinders body's absorption of calcium.
MagnesiumMen: 230 - 250 mgWomen: 200 - 210 mg
Spinach, Beef Greens, Broccoli, Tofu, Popcorn, Cashews, Wheat Bran
Activates enzymes needed to release energy in body. Needed by cells for genetic material and bone growth.
Deficiency: Nausea, irritability, muscle weakness; twitching; cramps, cardiac arrhythmias.
Overdose: Nausea, vomiting, low blood pressure, nervous system disorders.
Warning: Overdose can be fatal to people with kidney disease.
PotassiumMen: 40-80 mmolWomen: 40-80 mmol (3-6 g)
Peanuts, Bananas, Orange Juice, Green Beans, Mushrooms, Oranges, Broccoli, Sunflower Seeds.
Helps maintain regular fluid balance. Needed for nerve and muscle function.
Deficiency: Nausea, anorexia, muscle weakness, irritability. (Occurs most often in persons with prolonged diarrhea.)
Overdose:Rare.
Iron (Elemental)Men: 8-10 mgWomen: 8-13 mg
Liver, lean Meats, Kidney beans, enriched Bread, Raisins.Note: Oxalic acid in spinach hinders iron absorption.
Essential for making hemoglobin, the red substance in blood that acrries oxygen to body cells.
Deficiency:Skin pallor; weakness; fatigue; headaches; shortness of breath (all signs of iron-deficiency anemia)
Overdose:Toxic buildup in liver and in rare instances the heart.
ZincMen: 12 mgWomen: 9 mg
Oysters, Shrimp, Crab, Beef, Turkey, whole Grains, Peanuts, Beans.
Necessary element in more than 100 enzymes that are essential to digestion and metabolism.
Deficiency:Slow healing of wounds; loss of taste; retarded growth and delayed sexual development in children.
Overdose:Nausea, vomiting; diarrhea; abdominal pain; gastric bleeding.
Selenium0.05-0.2 mg
Adequate amounts are found in Seafood, Kidney, Liver and other meats. Grains and other Seed contain varying amounts depending on the soil content.
Antioxidant. Interacts with Vitamin E to prevent breakdown of fats and body chemicals.
Deficiency: Unknown in humans.
Overdose:Finger nail changes, hair loss.
Copper2-3 mg
The richest sources of copper in the diet are Liver and other organ Meats, Seafoods, Nuts and Seeds.
Component of several enzymes, including on needed to make skin, hair and other pigments. Stimulates iron absorption. Needed to make red blood cells, connective tissue and nerve fibres.
Deficiency: Rare in adults. Infants may develop a type of anemia marked by abnormal development of bones, nerve tissue and lungs.
Overdose: Liver disease; vomiting; diarrhea.
Manganese2-5 mg
Tea, whole Grains and Cereal products are the richest dietary sources. Adequate amounts are found in Fruits and Vegetables.
Needed for normal tendon and bone structure. Component of some enzymes important in metabolism.
Deficiency: Unknown in humans.
Overdose: Generally results from inhalation of manganese containing dust or fumes, not dietary ingestion.
Molybdenum0.15-0.3 mg
The concentration in food varies depending on the environment in which the food was grown. Milk, Beans, Breads and Cereals contribute the highest amounts.
Component of enzymes needed in metabolism. Helps regulate iron storage.
Deficiency: Unknown in humans.
Overdose:Gout-like joint pain.
Vitamin/Mineral
Sources
Indication
Efficacy
Claims
Fat Soluble Vitamins can be stored in the body and need not be consumed daily. While it is difficult to "overdose" on them from ordinary sources, consuming mega doses of fat soluble vitamins, especially A and D, can lead to a dangerous buildup in the body.
Abbreviations: IU=International Units; mg=milligrams; mcg=micrograms.
Vitamin ARetinolMen: 3 000 IUWomen: 2 700 IU
Liver, fortified Milk (Retinol form - see below for Carotene sources.)
Essential for eyes, skin and the proper function of the immune system. Helps maintain hair, bones and teeth.
Deficiency: Night blindness; reduced hair growth in children; loss of apetite; dry, rough skin; lowered resistance to infection; dry eyes.
Overdose: Headaches; blurred vision; fatigue; diarrhea; irregular periods; joint and bone pain; dry, cracked skin; rashes; loss of hair; vomiting, liver damage.
Beta Carotene(Pro-Vitamin A)(See Vitamin A)
Carrots, Squash, Broccoli, Green Leafy Vegetables
Antioxidant. Converted to Vitamin A in the body. (See Vitamin A)
The antioxidant properties of this nutrient may be a factor in reducing the risk of certain forms of cancer.
Vitamin DMen: 100 IUWomen: 100 IU
Egg Yolk, Milk, Exposure to sun enables body to make its own Vitamin D.
Helps build and maintain teeth and bones. Enhances calcium absorption.
Deficiency: Rickets in children; bone softening in adults; osteoporosis.
Overdose: Calcium deposits in organs; fragile bones; renal and cardiovascular damage.
Vitamin EMen: 9-10 mgWomen: 6-7 mg
Corn or Cottonseed Oil, Butter, Brown Rice, Soybean Oil, Vegetable oils such as Corn, Cottonseed or Soybean, Nuts, Wheat Germ.
Antioxidant. Helps form red blood cells, muscles and other tissues. Preserves fatty acids.
Deficiency: Rare, seen primarily in premature or low birth weight babies or children who do not absorb fat properly. Causes nerve abnormalities.
Overdose: Unknown.
The antioxidant properties of this nutrient may be a factor in reducing the risk of certain forms of cancer.
Vitamin KNone established.Estimated at 0.03 mcg/kg
Green Vegetables, Liver, also made by intestinal bacteria.
Needed for normal blood clotting.
Deficiency:Defective blood coagulation.
Overdose: Jaundice in infants.
Water Soluble Vitamins are not stored in the body and should therefore be consumed daily.
ThiamineVitamin B1Men: 0.8 - 1.3 mgWomen: 0.8 mg
Sunflower Seeds, Pork, whole and enriched Grains, dried Beans.
Necessary for carbohydrate metabolism and muscle coordination. Promotes proper nerve function.
Deficiency:Anxiety; hysteria; depression; muscle cramps; loss of apetite; in extreme cases beriberi (mostly in alcoholics).
Overdose:Unknown, although excess of one B vitamin may cause deficiency of others.
RiboflavinVitamin B2Men: 1.3 - 1.6 mgWomen: 1.1 mg
Liver, Milk, Spinach, enriched Noodles, Mushrooms.
Needed for metabolism of all foods and the release of energy to cells. Essential to the functioning of Vitamin B6 and Niacin.
Deficiency: Cracks and sores around the mouth and nose; visual problems.
Overdose: See Vitamin B1.
NiacinVitamin B3Men: 16-23 mgWomen: 14-16 mgNiacin is converted to niacinamide in the body.
Mushrooms, Bran, Tuna, Chicken, Beef, Peanuts, enriched Grains.
Needed in many enzymes that convert food to energy. Helps maintain a healthy digestive tract and nervous system. In very large doses, lower cholesterol (large doses should only be taken under the advice of a physician).
Deficiency:In extreme cases, pellagra, a disease characterized by dermatitis, diarrhea and mouth sores.
Overdose:Hot flashes; ulcers; liver disorders; high blood sugar and uric acid; cardiac arrythmias.
Pantothenic AcidVitamin B5Men: 2.5 mgWomen: 2.5 mg
Abundant in animal tissues, whole grain cereals and legumes.
Converts food to molecular forms. Needed to manufacture adrenal hormones and chemicals that regulate nerve function.
Deficiency:Unclear in humans.
Overdose:See Vitamin B1.
Vitamin B6PyridoxineMen: 1.8 mgWomen: 1.5 mg
Animal protein foods, Spinach, Broccoli, Bananas.
Needed for protein metabolism and absorption, carbohydrate metabolism. Helps form red blood cells. Promotes nerve and brain function.
Deficiency:Anemia, irritability, patches of itchy, scaling skin; convulsions.
Overdose:Nerve damage.
Vitamin B12CyanocobalaminMen: 2 mcgWomen: 2 mcg
Found almost exclusively in animal products.
Builds genetic material. Helps form red blood cells.
Deficiency:Pernicious anemia; nerve damage. (Note: Deficiency rare except in strict vegetarians, the elderly or people with malabsorption disorders.)
Overdose:See Vitamin B1.
Biotin60 mcg
Cheese, Egg, Yolk, Cauliflower, Peanut Butter
Needed for metabolism of glucose and formation of certain fatty acids. Essential for proper body chemistry.
Deficiency:Seborrhic dermatitis in infants. Rare in adults, but can be induced by consuming large amounts of egg whites - anorexia, nausea, vomiting, dry scaly skin.
Overdose:See Vitamin B1
Folic Acid (Folacin)Men: 180-220 mgWomen: 160-190 mg
Green, leafy vegetables, Orange Juice, organ Meats, Sprouts.
Essential for the manufacture of genetic material as well as protein metabolism and red blood cell formation.
Deficiency: Impaired cell division; anemia; diarrhea; gastrointestinal upsets.
Overdose: Convulsions in epileptics. May mask pernicious anemia (see Vitamin B12 deficiency).
Adequate amounts of this nutrient in the first stage of pregnancy may reduce the risks of neural tube birth defects.
Vitamin CAscorbic AcidMen: 40 mgWomen: 30 mg
Citrus Fruits, Strawberries, Broccoli, Green Peppers
Antioxidant. Helps bind cells together and strengthens blood vessel walls. Helps maintain healthy gums. Aids in the absorption of iron.
Deficiency: Muscle weakness, bleeding gums; easy bruising. In extreme cases, scurvy.
Overdose: Unknown.
The antioxidant properties of this nutrient may be a factor in reducing the risk of certain forms of cancer. May reduce the effects of the common cold.
Minerals in organic products essential for body functions.
CalciumMen: 800 - 1000 mgWomen: 700-800 mg
Milk, Yogurt, Cheese, Sardines, Broccoli, Turnip Greens.
Helps build strong bones and teeth. Promotes muscle and nerve function. Helps blood to clot. Helps activate enzymes needed to convert food to energy.
Deficiency: Rickets in children; osteomalacia (soft bones) and osteoporosis in adults.
Overdose: Constipation, Kidney Stones, calcium deposits in body tissues. Hinders absorption of iron and other minerals.
PhosphorusMen: 1000 mgWomen: 850 mg (3-6 g)
Chicken Breast, Milk, Lentils, Egg Yolks, Nuts, Cheese
With calcium builds bones and teeth. Needed for metabolism, body chemistry, nerve and muscle function.
Deficiency: (Rare) Weakness; bone pain; Anorexia.
Overdose: Hinders body's absorption of calcium.
MagnesiumMen: 230 - 250 mgWomen: 200 - 210 mg
Spinach, Beef Greens, Broccoli, Tofu, Popcorn, Cashews, Wheat Bran
Activates enzymes needed to release energy in body. Needed by cells for genetic material and bone growth.
Deficiency: Nausea, irritability, muscle weakness; twitching; cramps, cardiac arrhythmias.
Overdose: Nausea, vomiting, low blood pressure, nervous system disorders.
Warning: Overdose can be fatal to people with kidney disease.
PotassiumMen: 40-80 mmolWomen: 40-80 mmol (3-6 g)
Peanuts, Bananas, Orange Juice, Green Beans, Mushrooms, Oranges, Broccoli, Sunflower Seeds.
Helps maintain regular fluid balance. Needed for nerve and muscle function.
Deficiency: Nausea, anorexia, muscle weakness, irritability. (Occurs most often in persons with prolonged diarrhea.)
Overdose:Rare.
Iron (Elemental)Men: 8-10 mgWomen: 8-13 mg
Liver, lean Meats, Kidney beans, enriched Bread, Raisins.Note: Oxalic acid in spinach hinders iron absorption.
Essential for making hemoglobin, the red substance in blood that acrries oxygen to body cells.
Deficiency:Skin pallor; weakness; fatigue; headaches; shortness of breath (all signs of iron-deficiency anemia)
Overdose:Toxic buildup in liver and in rare instances the heart.
ZincMen: 12 mgWomen: 9 mg
Oysters, Shrimp, Crab, Beef, Turkey, whole Grains, Peanuts, Beans.
Necessary element in more than 100 enzymes that are essential to digestion and metabolism.
Deficiency:Slow healing of wounds; loss of taste; retarded growth and delayed sexual development in children.
Overdose:Nausea, vomiting; diarrhea; abdominal pain; gastric bleeding.
Selenium0.05-0.2 mg
Adequate amounts are found in Seafood, Kidney, Liver and other meats. Grains and other Seed contain varying amounts depending on the soil content.
Antioxidant. Interacts with Vitamin E to prevent breakdown of fats and body chemicals.
Deficiency: Unknown in humans.
Overdose:Finger nail changes, hair loss.
Copper2-3 mg
The richest sources of copper in the diet are Liver and other organ Meats, Seafoods, Nuts and Seeds.
Component of several enzymes, including on needed to make skin, hair and other pigments. Stimulates iron absorption. Needed to make red blood cells, connective tissue and nerve fibres.
Deficiency: Rare in adults. Infants may develop a type of anemia marked by abnormal development of bones, nerve tissue and lungs.
Overdose: Liver disease; vomiting; diarrhea.
Manganese2-5 mg
Tea, whole Grains and Cereal products are the richest dietary sources. Adequate amounts are found in Fruits and Vegetables.
Needed for normal tendon and bone structure. Component of some enzymes important in metabolism.
Deficiency: Unknown in humans.
Overdose: Generally results from inhalation of manganese containing dust or fumes, not dietary ingestion.
Molybdenum0.15-0.3 mg
The concentration in food varies depending on the environment in which the food was grown. Milk, Beans, Breads and Cereals contribute the highest amounts.
Component of enzymes needed in metabolism. Helps regulate iron storage.
Deficiency: Unknown in humans.
Overdose:Gout-like joint pain.
Nutrition Fact Sheet
Current recommendations
The current Dietary Reference Intake recommendation is composed of:
Estimated Average Requirements (EAR), expected to satisfy the needs of 50% of the people in that age group based on a review of the scientific literature.
Recommended Dietary Allowances (RDA), the daily dietary intake level of a nutrient considered sufficient by the Food and Nutrition Board to meet the requirements of nearly all (97–98%) healthy individuals in each life-stage and gender group. It is calculated based on the EAR and is usually approximately 20% higher than the EAR (See "Calculating the RDA", below).
Adequate Intake (AI), where no RDA has been established, but the amount established is somewhat less firmly believed to be adequate for everyone in the demographic group.
Tolerable upper intake levels (UL), to caution against excessive intake of nutrients (like vitamin A) that can be harmful in large amounts.
The RDA is used to determine the Recommended Daily Value (RDV) which is printed on food labels in the U.S. and Canada.
[edit] Vitamins and minerals
EARs, RDA/AIs and ULs for an average healthy 25-year old male are shown below. EARs shown as "NE" have not yet been established or not yet evaluated. ULs shown as "ND" could not be determined, and it is recommended that intake from these nutrients be from food only, to prevent adverse effects. Amounts and "ND" status for other age and gender groups, pregnant women, lactating women, and breastfeeding infants may be much different.[2]
Nutrient
EAR
RDA/AI
UL
Unit
Vitamin AFOOD Vitamin A (mcg RE)Liver, beef, 3.5 oz 10602Chicken liver, 3.5 oz 4,900Pumpkin, canned, 1/2 cup 2700Carrots, raw, 7.5" long 2025Carrots, baby, 12 raw 1800Sweet potato, small 1310Squash, butternut, 1/2 cup 857Mango, fresh, one 805Spinach, cooked, 1/2 cup 739 Spinach, fresh, 1 cup raw 202Cantaloupe, 1 cup 561Apricots, fresh, 4 halves 366Apricots, dried, 4 halves 101Collard greens,ckd 1/2 cup 502Kale, cooked 1/2 cup 481Vegetable juice, 1 cup 283Broccoli, cooked 1/2 cup 174Romaine lettuce, 1 cup 146
Skim milk, fortified, 1 cup 149
625
900
3000
µg
Vitamin CFOOD Vitamin C (mg)Orange juice, fresh, 1 cup 124Orange juice, frozen, 1 cup 97Grapefruit juice, 1 cup 94Papaya, fresh cubed, 1 cup 86Strawberries, fresh, 1 cup 86Orange, navel, medium 75Kiwi, 1 medium 74Red bell pepper, 1/2 cup 71Cantaloupe, cubed, 1 cup 68Tomato-vegetable juice 67Mango, medium 57Chili Pepper, 1/4 cup 54Brussels sprouts, 1/2 cup 48Strawberries, 1/2 cup 42Honeydew melon, 1 cup 42Grapefruit, 1/2 39Broccoli, cooked, 1/2 cup 37Brussels sprouts, 1/2 cup 35Grapefruit juice, 1/2 cup 36Lemon, fresh 31Green pepper, 1/2 cup 33Cauliflower, 1/2 cup 27Red cabbage, 1/2 cup 26Collard greens, 1/2 cup 22Tomato, fresh 23Turnip greens, 1/2 cup 20Potato, medium 20
75
90
2000
Mg
Vitamin D[3]FOOD Vitamin D (mcg)Cod liver oil, 1 Tbl 34.0Pacific oysters, 3.5 oz 16.0Most fish, 3.5 oz 8.0Vitamin D fortified milk 2.45Egg, cooked 0.65Beef, 3.5 0.18Yogurt, 1 cup 0.10Cheddar cheese, 1 oz 0.09
NE
200
2000
IU
Vitamin KFOOD Vitamin K (mcg)Brussels sprouts, 1/2 cup 460Broccoli, 1/2 cup 248Cauliflower, 1/2 cup 150 Swiss chard, 1/2 cup 123Spinach, raw, 1 cup 120Beef, 3.5 oz 104Pork, 3.5 oz 88Eggs, whole, large 25Strawberries, 1 cup 23Oats, 1oz,dry 18Milk, 8 oz, whole 10
NE
120
ND
µg
Vitamin B6FOOD Vitamin B6 (mg) Liver, beef, 3.5 oz cooked 1.4Oatmeal, 1 cup cooked .74Banana, medium .70Salmon, 3.5 oz cooked .65Chicken, light meat, 3.5 oz .63Turkey, light meat, 3.5 oz .50Potatoes, mashed, 1 cup .48Avocado, California, 1 .48Halibut, baked, 3.5 oz .40Tomato juice, 1 cup cooked .34Sweet potatoes, 1/2 cup .30Blackstrap molasses, 2 Tbl .29 Sunflower seeds, 1/4 cup .26Brussels sprouts, 1/2 cup .23Prunes, dried, 10 .22Watermelon, 1 cup cubed .22Cantelope, 1 cup cubed .18Lentils, 1/2 cup cooked .18Carrots, 1/2 cup cooked .18Mango .28Rice, brown, cooked, 1 cup .28Peanuts, 1/2 cup .18Peanut butter, 2 Tbl .15
1.1
1.3
100
Mg
α-tocopherol (Vitamin E)FOOD Vitamin E (mg)Wheat germ, 2 Tbl 3.6Sunflower seeds, 1/4 cup 8.4Peanut butter, 2 Tbl 2.9Peanuts, 1/2 cup 2.5Peanut oil, 1 Tbl 2.1Almond oil, 1Tbl 5.4Almonds, 1/4 cup 9.0Avocado, 1 medium 3.5Mango, fresh 2.2Papaya, one medium 2.2Canola oil, 1 Tbl 2.3Avocado, black skin, EA 3.3Olive oil, 1 Tbl 1.9Spinach, 1/2 cup cooked 1.9Broccoli, 1/c cup cooked 1.6Kiwi, one medium 1.0Nectarine, one medium 1.0Mayonnaise, 1 Tbl 0.7Swiss chard, 1/2 cup 1.7Papaya cubes, 1 cup, 1.0Mustard greens, 1/2 cup 0.9
12
15
1000
IU
Biotin B7 or H
Nuts, liver, egg yolks, soybeans and fish are rich sources of biotin.
See table for dietary sources of biotin.
FOOD Biotin (mcg)
Peanuts, 1/2 cup: 73
Filberts, 1/2 cup: 51
Almonds, 1/2 cup: 34
Peanut butter, 2 Tbl: 32
Soy protein isolate, 1 oz: 8.5
Egg, 1 large cooked: 8.1
Cashews, 1/2 cup: 8.9
Low fat yogurt, 1 cup: 7.4
Haddock, 3.5 oz cooked: 6.0
Sweet potatoes, canned, 1/2 cup: 5.5
Swiss chard, cooked, 1/2 cup: 5.3
Salmon, 3.5 oz cooked: 5.0
Nonfat milk, 1 cup: 4.9
Tomato sauce, 1/2 cup: 4.7
Carrots, 1/2 cup, cooked: 3.9
Avocado, half: 3.6
Carrot, 7.5" raw: 3.6
Papaya cubes, 1 cup: 3.1
Banana, one: 3.1
Pork, 3.5 oz cooked: 3.0
Tuna, 3.5 oz canned: 3.0
NE
30
ND
µg
Boron
FOODAlmondApple (red)Apricots (dried)AvocadoBananaBeans (red kidney)Bran (wheat)Brazil NutsBroccoliCarrotCashew Nuts (raw)CeleryChick PeasDatesGrapes (red)
Boron (mg/100g)2.820.322.112.060.161.400.321.720.310.301.150.500.711.080.50
Hazel NutsHoneyLentilsOliveOnionOrangePeachPeanut ButterPearPotatoPrunesRaisinsWalnutWine (Shiraz Cabernet)
2.770.500.740.350.200.250.521.920.320.181.184.511.630.86
NE
-
20
mg
Calcium[3]
Dietary Sources of Calcium
FOOD
Calcium (mg)
Yogurt, low fat, with fruit, 1 cup
448
Salmon, canned, with bones, 3.5 oz
380
Molasses, blackstrap, 2 Tbl
350
Milk, skim, 1 cup
300
Ice milk, soft-serve, 1 cup
274
Cheese, Swiss, 1 oz
272
Yogurt, frozen, 1 cup
240
Sardines, 3.5 oz with bones
240
Cheese, cheddar, 1 oz
204
Cheese, cheddar, 1 oz
204
Ice cream, vanilla, 1 cup
176
Rhubarb, cooked, 1/2 cup
174
Cheese, cottage, 2% fat, 1 cup
155
Spinach, frozen, cooked, 1/2 cup
140
Tofu, regular, 1/2 cup
130
Soynuts, 1/2 cup
119
Collard greens, 1/2 cup
120
Almonds, 1/2 cup
92
Ice cream, vanilla, regular, 1/2 cup
85
Navy or baked beans, 1/2 cup
64
Mustard greens, 1/2 cup
51
Orange, 1 medium
52
Okra, 1/2 cup
50
Halibut, baked, 3 oz
51
Kale, fresh, cooked, 1/2 cup
47
Broccoli, cooked from fresh, 1/2 cup
42
NE
1000
2500
mg
Chloride
NE
2300
3600
mg
Chromium
Food
Chromium (mcg)
Broccoli, 1 cup, cooked
22.0
Turkey, leg, 3 oz. cooked
10.4
Juice, grape, 1 cup
7.5
Waffle, egg, 1 medium
6.7
Ham, 3 oz.
3.6
English muffin, one
3.6
Cookies, chocolate chip, one large
3.4
Potatoes, mashed, 1 cup
2.7
Bagel, egg, 1
2.5
Juice, orange, 1 cup
2.2
Green beans, 1 cup, cooked
2.2
NE
35
ND
µg
Choline
Food
Serving
Total Choline (mg)
Beef liver, pan fried
3 ounces*
355
Wheat germ, toasted
1 cup
172
Egg
1 large
126
Atlantic cod, cooked
3 ounces
71
Beef, trim cut, cooked
3 ounces
67
Brussel sprouts, cooked
1 cup
63
Broccoli, cooked
1 cup, chopped
62
Shrimp, canned
3 ounces
60
Salmon
3 ounces
56
Milk, skim
8 fl oz.
38
Peanut butter, smooth
2 tablespoons
20
Milk chocolate
1.5-ounce bar
20
*A three-ounce serving of meat or fish is about the size of a deck of cards.
NE
550
3500
mg
CopperCopper Content of FoodFood Copper (mcg)Beef liver, 3.5 oz. 450Oysters, cooked 3.5 oz 200Oysters, raw, 3.5 oz 110 Cashews, dry roasted, 1/2 cup 80Molasses, blackstrap, 2 Tbl 84Pumpkin seeds, roasted, 1/2 cup 78Black-eyed peas, cooked, 1/2 cup 70Clams, steamed, 3.5 oz 69Sunflower seeds, 1/2 cup 60Unsweetened chocolate, 1 oz 62Brewer's yeast, 2 Tbl 52Beans, refried, 1/2 cup 50Instant breakfast, fortified, 1 pkt 50V-8 juice, 1 cup 48Tofu, firm, 1/2 cup 24Prunes, dried, 10 40Salmon, baked, 3 oz. 30
700
900
10000
µg
Cyanocobalamin (B12)FOOD Vitamin B12 (mcg)Liver, beef, 3.5 oz 112Clams, steamed, 3.5 oz 99Oysters, raw, 3 oz 16Crab, cooked, 3 oz 9Trout, cooked, 3.5 oz 5Tuna, light, canned, 3.5 oz 1.8Low fat yogurt, 1 cup 1.4Milk, nonfat, 1 cup .93Frankfurters, beef, 1 .88Pork chop, broiled, 3.5 oz .6Egg, cooked .50 Cheese, provolone, 1 oz .41Chicken, white meat, 3.5 oz .36Chicken, dark meat, 3.5 oz .32 Cheddar cheese, 1 oz .24
2.0
2.4
ND
µg
Fluoride
Food
Serving
Fluoride (mg)
Tea
100 ml (3.5 fluid ounces)
0.1-0.6
Grape juice
100 ml (3.5 fluid ounces)
0.02-0.28
Canned sardines (with bones)
100 g (3.5 ounces)
0.2-0.4
Fish (without bones)
100 g (3.5 ounces)
0.01-0.17
Chicken
100g (3.5 ounces)
0.06-0.10
NE
4
10
mg
Folate (B9)
Item
Folate (mcg)
Liver, chicken, 3.5 oz cooked
770
Liver, beef, 3.5 oz cooked
220
Blackeyed peas, boiled, 1 cup
210
Lentils, 1/2 cup cooked
179
Beans, white, boiled, 1/2 cup
144
Black eye peas, 1/2 cup cooked
120
Broccoli, cooked, 1 cup
104
Spinach, cooked, 1/2 cup
103
White pasta , 1/2 cup cooked
98
Flour tortilla, 10" diameter
88
Collard greens, ckd ,fresh 1/2 cup
88
Romaine lettuce, 1 cup
76
Orange juice, 1 cup
75
Fresh spinach, 1 cup
58
Wheat germ, raw, 2 Tbl
50
Tofu, 1/2 cup
55
Papaya cubes, 1 cup
53
Vegetable juice, 1 cup
51
320
400
1000
µg
Iodine
Iodine Content of Food
Food
Iodine(mcg)
Salt, iodized, 1 tsp.
400
Haddock, 3 oz.
104 - 145
Bread, regular process, 1slice
35
Cheese, cottage, 2% fat, 1/2 cup
26 - 71
Shrimp, 3 oz.
21 - 37
Egg, 1
18 - 26
Cheese, cheddar, 1 oz.
5 - 23
Ground beef, 3 oz, cooked
8
95
150
1100
µg
Iron
Food
Iron(mg)
Clams,3.5 oz, steamed
22.0
Oysters, 3.5 oz cooked
8.5
Chicken liver, 3.5 oz cooked
8.5
Pumpkin seeds, 1/2 cup roasted
8.5
Tofu, 1/2 cup
6.7
Beef liver, 3.5 oz cooked
6.3
Oysters, 3.5 oz raw
5.4
Pistachios, 1/2 cup
4.4
Blackstrap molasses, 2 Tbl
3.6
Beef roast, 3.5 oz cooked
3.5
Ground beef, 3 oz, cooked
2.2
Lamb, 3.5 oz cooked
2.2
Unsweetened chocolate, 1 oz
1.8
Raisins, 1/2 cup
1.75
Pinto beans, 1/2 cup canned
1.75
Sunflower seeds, 1/2 cup
1.7
Sweet potatoes, canned, 1/2 cup
1.7
Pasta, 1 cup cooked
1.7
Pumpkin, 1/2 cup cooked
1.7
Baked potato w/skin, 1/2 cup
1.7
Turkey, white meat, 3.5 oz
1.6
Oatmeal, 1 cup cooked
1.6
Spinach, 1/2 cup, cooked
1.4
Canned tuna, 3.5 oz
1.3
6
8
45
mg
MagnesiumFood Magnesium (mg)Pumpkin seeds, 1/4 cup roasted 303Almonds, 1/2 cup 238Soy nuts, 1/2 cup 196Cashews, 1/2 cup 157Tofu, firm, 1/2 cup 128Peanuts, 1/2 cup 125Chili with beans, 1 cup 115Molasses, 2 Tbl 100Wheat germ, toasted, 2 Tbl 90Unsweetened chocolate, 1 oz 88Sunflower seeds, 1/4 cup 82Halibut, baked, 3 oz. 78Swiss chard, cooked, 1/2 cup 75Spinach, 1/2 cup cooked 66Black beans, 1/2 cup 60Oatmeal, 1 cup cooked 56Peanut butter, 2 Tbl 51Baked potato with skin, 1 55Cereal, raisin bran, 1 oz. 48Low fat yogurt, 1 cup 43Milk, nonfat, 1 cup 28Chicken, breast, 3 oz. 25Green peas, cooked, 1/2 cup 23
330
400
350a
Mg
ManganeseFood Manganese (mg)Wheat germ, 2 Tbl 2.8Pecans, 1/4 cup 2.7Whole wheat pasta, 1 cup 1.9Soy nuts, 1/4 cup .85Pumpkin seeds, 1/4 cup 1.7Cooked oatmeal, 1 cup 1.4Sweet potatoes, 1/2 cup 1.3Pineapple, fresh, 1/2 cup 1.3Pineapple juice, 1/2 cup 1.2Oysters, cooked 3.5 oz 1.2Blackstrap molasses, 2 Tbl 1.2Tomato juice, 1 cup 1.0Blackberries, 1/2 cup 0.9Grape juice, 1 cup 0.9Spinach, 1/2 cup 0.9Brown rice, 1/2 cooked 0.9Soy nuts, 1/4 cup 0.9Almonds, 1/4 cup 0.8Tofu, 1/2 cup 0.8Sunflower seeds, 1/4 cup 0.7
NE
2.3
11
Mg
MolybdenumFood Molybdenum (mcg)Navy beans, 1/2 cup ckd 98Black-eye peas, 1/2 cup ckd 90Lentils, 1/2 cup ckd 74Split peas, 1/2 cup ckd 74Lima beans, 1/2 cup ckd 71Kidney beans, 1/2 cup ckd 66Black beans, 1/2 cup ckd 65Almonds, 1/4 cup 11.6Peanuts, 1/4 cup 10.6Chestnuts, 1/4 cup 10.6Cashews, 1/4 cup 9.5Yogurt, 1 cup 11.3Egg, 1, cooked 9.0Veal liver, 3.5 oz 8.9Green soybeans, 1/2 cup 6.4Cottage cheese, 1/2 cup 5.2Milk, 1 cup 4.9 Tomatoes, fresh, 1/2 cup 4.5
34
45
2000
µg
Niacin (B3)
Food Niacin (mg)
Beef liver, cooked 3.5 oz 14.4
Peanuts, 1/2 cup 10.5
Chicken, white meat, cooked 13.4
Tuna, canned in water, 3 oz 11.8
Salmon, cooked 3.5 oz 8.0
Corn grits, instant, 1 pkt 6.8
Ground beef, cooked 3.5 oz 5.3
Cheerios, 1 cup 5.0
Peanut butter, 2 Tbl 4.4
Almonds, 1/2 cup 1.4
Potato, baked with skin 3.3
Bagel, plain, 2.5 oz 3.3
Flour tortilla, 10" 2.6
Pasta, cooked 1 cup 2.3
Mushrooms, raw, 1/2 cup 1.7
Barley, cooked 1/2 cup 1.6
Corn, yellow, 1/2 cup 1.3
Mango, 1 medium 1.5
Lentils, cooked 1/2 cup 1.4
Sweet potatoes, cooked 1/2 1.2
Peach, raw, medium .9
Carrot, raw, medium .7
12
16
35
mg
Nickel
Nickel content in food
High content(more than 0.5 mg/kg)
Medium content(0.1-0.5 mg/kg)
Low content(less than 0.1 mg/kg)
Mussels
Various mushrooms
Meat
Dark chocolate
Oysters
Ham
Coco powder
Milk chocolate
Sausage
Liquorice
Eggs
Poultry
Hazel nuts
Raspberries
Liver
Almond
Blackcurrant
Kidney
Peanuts
Cloudberries
Cucumber
Pistage nuts
Kale
Cheese
Walnuts
Parsley
Milk
Alpha alpha seeds
Garlic
Yogurth
Brown beans
Parsnip
Onion
Soy beans
Horseradish
Cabbage
Pulses (green)
Corn flour
Beetroot
Mung beans
Rye
Spinach
Chickpeas
Barley
Corn
Yellow peas
Rice
Flour
Linseed
Salad
Poppy seed
Carrots
Oatmeal
Potatoes
Wheat bran
Fish
Oat bran
Squash
Mill
Apple
Soy flour
Pear
Buckwheat
Strawberries
As analysed by the Swedish Food Administration
NE
-
1.0
Mg
Pantothenic acid (B5)
FOOD Pantothenic Acid (mg)
Liver, beef, 3.5 oz 5.3
Sunflower seeds, 1/4 cup 2.3
Low fat yogurt, 1 cup 1.5
Salmon, baked, 3.5 oz 1.4
Poultry, dark meat, 3.5 oz 1.3
Poultry, white meat, 3.5 oz 1.0
Peanuts, 1/2 cup 1.0
Avocado half 1.0
Mushrooms, ckd, 1/2 cup .84
Milk, nonfat, 1 cup .80
Ice milk, soft serve, 1 cup .78
Corn, cooked, 1/2 cup .72
Potato, baked, one .70
Sweet potato, 1/2 cup .68
Dates, 10 .65
Wheat germ, raw, 1/4 cup .65
Liverwurst, 1 slice .53
Cheese, blue, 1 oz .49
Oatmeal, cooked, 1 cup .47
Broccoli, boiled, 1/2 cup .40
Papaya, 1/2 cup .33
Cheese, cottage, 1/2 cup .27
Peanut butter, creamy, 2 T .26
Strawberries, 1 cup .25
Orange juice, 1 cup .24
NE
5
ND
mg
PhosphorusFood Phosphorous (mg)Pumpkin seed kernels, 1/4 cup 665Sardines w/bones, 3.5 oz 425Sunflower seeds, 1/4 cup 377Low fat yogurt, 1 cup 352Halibut, 3.5 oz ckd 285Salmon or trout, 3.5 oz ckd 260Sole, baked, 3 oz. 248Nonfat milk, 1 cup 247Chicken, light meat, 3.5 oz ckd 221Beef steak, cooked 3.5 oz 218Almonds, dry roasted, 1/4 cup 215Split pea soup, 1 cup 213Cheese, American, 1 oz. 211Ham, 3 oz. 210Ice milk, soft-serve, 1 cup 202Lentils, cooked 1/2 cup 178Oatmeal, 1 cup 178Wheat germ, 1 Tbl 162Navy or baked beans, 1/2 cup 155Ground beef, 3.5 oz. 155Peanuts, 1/4 cup 150Tofu, regular, 1/2 cup 120Potato, baked, with skin, 1 115Garbanzo beans, canned, 1/2 cup 108
580
700
4000
mg
Potassium
POTASSIUM-RICH FOOD CHARTIMPORTANT FOR CESIUM CHLORIDE USERS:Those using Cesium Chloride MUST supplement with Potassium. Use the food chart below to add more potassium-rich foods to your diet.*
Food from
Serving Size
Potassium
FRUITS**Apple w/skinApple Juice, unsweetenedApricots, dried sulfuredAvocadoBananaCantalope, cubedDatesFigs, driedKiwiMangoOrangeOrange JuicePapayaPeachPearPrune Juice, unsweetenedRaisinsStrawberries, rawWatermelon
1 small1/2 cup10 halves1 ounce1 small1 cup5411 medium1 small1/2 cup1 cup1 medium1 medium1/2 cup1/4 cup1 cup1 cup
Approximately148 mg125 mg407 mg100 mg422 mg427 mg227 mg516 mg237 mg323 mg248 mg236 mg360 mg186 mg198 mg354 mg273 mg254 mg170 mg
VEGETABLESArtichoke, cookedAsparagus, cookedBeet Greens, cookedBroccoliBrussel Sprouts, freshCabbage, cookedCarrots, freshCauliflower, freshGarbanzo BeansGreen Beans, freshKidney Beans, cookedLettuce, iceburgMushrooms, cookedPinto Beans, cookedPotato, baked with skinSpinach, steamedSweet Potato, with skinTomato, freshTomato Juice
1 cup1 cup1/2 cup1/2 cup1/2 cup1/2 cup1/2 cup1/2 cup1/2 cup1/2 cup1/2 cup1 cup1/2 cup1/2 cup1 medium1/2 cup11/2 cup1 cup
Approximately595 mg288 mg655 mg143 mg47 mg147 mg177 mg151 mg240 mg187 mg355 mg87 mg277 mg400 mg422 mg415 mg508 mg200 mg535 mg
DAIRYCottage Cheese, 2%Ice Cream, vanillaMilk, 2 %Ricotta CheeseYogurt
1 cup1/2 cup1 cup1/2 cup6 ounces
Approximately217 mg131 mg377 mg154 mg398 mg
OTHERAlmondsBeef, lean cookedBread, wheatBrazil NutsEggHamburgerHalibutMolassesPeanuts, saltedPeanut Butter, naturalRice, brownRice, whiteSalmon, baked or steamedSalmon, cannedTuna, cooked yellowfinTurkey, roasted dark meat
2 ounces3 ounces1 slice2 ounces1 med.4 oz.3 oz.1 tablespoon2 ounces2 tablespoons1 cup1 cup3 ounces4 oz.3 ounces3 ounces
Approximately412 mg224 mg59 mg340 mg55 mg383 mg490 mg498 mg374 mg214 mg105 mg42 mg319 mg409 mg484 mg
NE
4700
ND
mg
Riboflavin (B2)FOOD Riboflavin (mg)Liver, beef, cooked 3.5 oz 4.14Almonds, 1/2 cup 0.78Soy nuts, 1/2 cup 0.65Mackerel, canned 3.5 oz 0.54Yogurt, low fat, 1 cup 0.52Steamed clams, 3.5 oz 0.43Milk, nonfat, 1 cup 0.34Yogurt, low-fat, 1 cup 0.37Clams, canned, 3 oz 0.36Ice milk, soft serve, 1 oz 0.34Egg, cooked 0.25Pork, loin, cooked 3 oz 0.24Pasta, cooked 1 cup 0.23Bagel, plain, 0.22Hamburger, lean, 3.5 oz 0.21Cheese, cottage, 1/2 cup 0.21Chicken, dark, cooked 3 oz 0.19Spinach, ckd, 1/2 cup 0.16Wheat germ, raw, 2 Tbl 0.12
1.1
1.3
ND
mg
SeleniumFood Selenium (mcg)Brazil nuts, 1/4 cup 1036Oysters, 3.5 oz 115Chicken liver 3.5 oz 71Raw oyster, 3.5 oz 70Steamed clams, 3.5 oz 64Beef liver, 3.5 oz 57Sardines, 3.5 oz 46Crab, 3.5 oz 40Whole wheat pasta, 1 cup 36White pasta, 1 cup 30Wheat germ, 1/4 cup 28Molasses, blackstrap, 2 T. 25Sunflower seeds, 1/4 cup 26Cooked oatmeal, 1 cup 19Soy nuts, 1/2 cup 17Freshwater fish, 3.5 oz 15Egg, boiled, one 13Tofu, 1/2 cup 11
45
55
400
µg
SodiumFood Sodium (mg)Table Salt , 1 tsp 2358Pickles, dill, 1 large 1731Canned chicken soup, 1 cup 850Sauerkraut, 1/2 cup 780Pretzels, 1 oz 486Cottage cheese, 1/2 cup 459Sardines, 3 oz 429Deli ham, 1 oz 341Deli turkey breast, 1 oz 335Soy Sauce, 1 tsp 304Cheese, American, 1 oz 304Cornflakes, 1 cup 298Olives, black, 5 large 192Deli bologna 295Potato Chips, 1 oz 183
NE
1500
2300
Mg
Sulfate
Foods and
Amino Acids
that contain Sulphur
Asparagus
Avocado
Blueberries
Broccoli
Brussel Sprouts
Cabbage
Caluiflower
Cabbage
Carrots
Cheese
Cherries
Chives
Coconut
Eggs (Yokes) *
Garlic
Grapes
Grains
Kale
_________
Cysteine
Taurine
Methionine
Kohlrab
Leeks
Legumes
Meat Protein
Mustard
Nuts & Seeds
Onions
Pak Choi
Parsley
Radishes
Red Peppers
Rutabaga
Shallot
Swiss Chard
Tomatoes
Turnips
Watercress
NE
-
ND
-
Thiamin (B1)
Food
Serving
Thiamin (mg)
Lentils (cooked)
1/2 cup
0.17
Peas (cooked)
1/2 cup
0.21
Long grain brown rice (cooked)
1 cup
0.19
Long grain white rice, enriched (cooked)
1 cup
0.26
Long grain white rice, unenriched (cooked)
1 cup
0.04
Whole wheat bread
1 slice
0.10
White bread, enriched
1 slice
0.11
Fortified breakfast cereal
1 cup
0.5-2.0
Wheat germ breakfast cereal
1 cup
4.47
Pork, lean (cooked)
3 ounces*
0.72
Brazil nuts
1 ounce
0.18
Pecans
1 ounce
0.19
Spinach (cooked)
1/2 cup
0.09
Orange
1 fruit
0.10
Cantaloupe
1/2 fruit
0.11
Milk
1 cup
0.10
Egg (cooked)
1 large
0.03
*3 ounces of meat is a serving about the size of a deck of cards
1.0
1.2
ND
Mg
Zinc
Food
Serving
Zinc (mg)
Oysters
6 medium (cooked)
76.3
Crab, Dungeness
3 ounces (cooked)
4.7
Beef
3 ounces* (cooked)
6.0
Pork
3 ounces (cooked)
2.2
Chicken (dark meat)
3 ounces (cooked)
1.8
Turkey (dark meat)
3 ounces (cooked)
3.8
Yogurt, fruit
1 cup (8 ounces)
1.8
Cheese, cheddar
1 ounce
0.9
Milk
1 cup (8 ounces)
1.8
Cashews
1 ounce
1.6
Almonds
1 ounce
1.0
Peanuts
1 ounce
0.9
Beans, baked
1/2 cup
1.8
Chickpeas (garbanzo beans)
1/2 cup
1.3
*A three-ounce serving of meat is about the size of a deck of cards
9.4
11
40
mg
a From pill only, not including food and water intake. [However, sustained-release formulations exceeding this dose are well tolerated.]
EAR: Estimated Average Requirements; RDA: Recommended Dietary Allowances; AI: Adequate Intake; UL: Tolerable upper intake levels.
It is also recommended that the following substances not be added to food or dietary supplements. Research has been conducted into adverse effects, but was not conclusive in many cases:
Substance
RDA/AI
UL
units per day
Arsenic
-
ND
-
Silicon
-
ND
-
Vanadium
-
1.8
mg
[edit] Macronutrients
RDA/AI is shown below for males and females aged 40–50 years.[2]
Substance
Amount (males)
Amount (females)
Waterb
3.7 L/day
2.7 L/day
Carbohydrates
130 g/day
130 g/day
Proteinc
56 g/day
46 g/day
Fiber
38 g/day
25 g/day
Fat
20–35% of calories
Linoleic acid, an omega-6 fatty acid (polyunsaturated)
17 g/day
12 g/day
alpha-Linolenic acid, an omega-3 fatty acid (polyunsaturated)
1.6 g/day
1.1 g/day
Cholesterol
As low as possible
Trans fatty acids
As low as possible
Saturated fatty acids
As low as possible
Added sugar
No more than 25% of calories
bIncludes water from food, beverages, and drinking water.
cBased on 0.8 g/kg of body weight
[edit] Calculating the RDA
The equations used to calculate the RDA are as follows:
"If the standard deviation (SD) of the EAR is available and the requirement for the nutrient is symmetrically distributed, the RDA is set at two SDs above the EAR:
RDA = EAR + 2 SD(EAR).
If data about variability in requirements are insufficient to calculate an SD, a coefficient of variation (CV) for the EAR of 10 percent is assumed, unless available data indicate a greater variation in requirements. If 10 percent is assumed to be the CV, then twice that amount when added to the EAR is defined as equal to the RDA. The resulting equation for the RDA is then
RDA = 1.2 × EAR.
This level of intake statistically represents 97.5 percent of the requirements of the population."[1]
The current Dietary Reference Intake recommendation is composed of:
Estimated Average Requirements (EAR), expected to satisfy the needs of 50% of the people in that age group based on a review of the scientific literature.
Recommended Dietary Allowances (RDA), the daily dietary intake level of a nutrient considered sufficient by the Food and Nutrition Board to meet the requirements of nearly all (97–98%) healthy individuals in each life-stage and gender group. It is calculated based on the EAR and is usually approximately 20% higher than the EAR (See "Calculating the RDA", below).
Adequate Intake (AI), where no RDA has been established, but the amount established is somewhat less firmly believed to be adequate for everyone in the demographic group.
Tolerable upper intake levels (UL), to caution against excessive intake of nutrients (like vitamin A) that can be harmful in large amounts.
The RDA is used to determine the Recommended Daily Value (RDV) which is printed on food labels in the U.S. and Canada.
[edit] Vitamins and minerals
EARs, RDA/AIs and ULs for an average healthy 25-year old male are shown below. EARs shown as "NE" have not yet been established or not yet evaluated. ULs shown as "ND" could not be determined, and it is recommended that intake from these nutrients be from food only, to prevent adverse effects. Amounts and "ND" status for other age and gender groups, pregnant women, lactating women, and breastfeeding infants may be much different.[2]
Nutrient
EAR
RDA/AI
UL
Unit
Vitamin AFOOD Vitamin A (mcg RE)Liver, beef, 3.5 oz 10602Chicken liver, 3.5 oz 4,900Pumpkin, canned, 1/2 cup 2700Carrots, raw, 7.5" long 2025Carrots, baby, 12 raw 1800Sweet potato, small 1310Squash, butternut, 1/2 cup 857Mango, fresh, one 805Spinach, cooked, 1/2 cup 739 Spinach, fresh, 1 cup raw 202Cantaloupe, 1 cup 561Apricots, fresh, 4 halves 366Apricots, dried, 4 halves 101Collard greens,ckd 1/2 cup 502Kale, cooked 1/2 cup 481Vegetable juice, 1 cup 283Broccoli, cooked 1/2 cup 174Romaine lettuce, 1 cup 146
Skim milk, fortified, 1 cup 149
625
900
3000
µg
Vitamin CFOOD Vitamin C (mg)Orange juice, fresh, 1 cup 124Orange juice, frozen, 1 cup 97Grapefruit juice, 1 cup 94Papaya, fresh cubed, 1 cup 86Strawberries, fresh, 1 cup 86Orange, navel, medium 75Kiwi, 1 medium 74Red bell pepper, 1/2 cup 71Cantaloupe, cubed, 1 cup 68Tomato-vegetable juice 67Mango, medium 57Chili Pepper, 1/4 cup 54Brussels sprouts, 1/2 cup 48Strawberries, 1/2 cup 42Honeydew melon, 1 cup 42Grapefruit, 1/2 39Broccoli, cooked, 1/2 cup 37Brussels sprouts, 1/2 cup 35Grapefruit juice, 1/2 cup 36Lemon, fresh 31Green pepper, 1/2 cup 33Cauliflower, 1/2 cup 27Red cabbage, 1/2 cup 26Collard greens, 1/2 cup 22Tomato, fresh 23Turnip greens, 1/2 cup 20Potato, medium 20
75
90
2000
Mg
Vitamin D[3]FOOD Vitamin D (mcg)Cod liver oil, 1 Tbl 34.0Pacific oysters, 3.5 oz 16.0Most fish, 3.5 oz 8.0Vitamin D fortified milk 2.45Egg, cooked 0.65Beef, 3.5 0.18Yogurt, 1 cup 0.10Cheddar cheese, 1 oz 0.09
NE
200
2000
IU
Vitamin KFOOD Vitamin K (mcg)Brussels sprouts, 1/2 cup 460Broccoli, 1/2 cup 248Cauliflower, 1/2 cup 150 Swiss chard, 1/2 cup 123Spinach, raw, 1 cup 120Beef, 3.5 oz 104Pork, 3.5 oz 88Eggs, whole, large 25Strawberries, 1 cup 23Oats, 1oz,dry 18Milk, 8 oz, whole 10
NE
120
ND
µg
Vitamin B6FOOD Vitamin B6 (mg) Liver, beef, 3.5 oz cooked 1.4Oatmeal, 1 cup cooked .74Banana, medium .70Salmon, 3.5 oz cooked .65Chicken, light meat, 3.5 oz .63Turkey, light meat, 3.5 oz .50Potatoes, mashed, 1 cup .48Avocado, California, 1 .48Halibut, baked, 3.5 oz .40Tomato juice, 1 cup cooked .34Sweet potatoes, 1/2 cup .30Blackstrap molasses, 2 Tbl .29 Sunflower seeds, 1/4 cup .26Brussels sprouts, 1/2 cup .23Prunes, dried, 10 .22Watermelon, 1 cup cubed .22Cantelope, 1 cup cubed .18Lentils, 1/2 cup cooked .18Carrots, 1/2 cup cooked .18Mango .28Rice, brown, cooked, 1 cup .28Peanuts, 1/2 cup .18Peanut butter, 2 Tbl .15
1.1
1.3
100
Mg
α-tocopherol (Vitamin E)FOOD Vitamin E (mg)Wheat germ, 2 Tbl 3.6Sunflower seeds, 1/4 cup 8.4Peanut butter, 2 Tbl 2.9Peanuts, 1/2 cup 2.5Peanut oil, 1 Tbl 2.1Almond oil, 1Tbl 5.4Almonds, 1/4 cup 9.0Avocado, 1 medium 3.5Mango, fresh 2.2Papaya, one medium 2.2Canola oil, 1 Tbl 2.3Avocado, black skin, EA 3.3Olive oil, 1 Tbl 1.9Spinach, 1/2 cup cooked 1.9Broccoli, 1/c cup cooked 1.6Kiwi, one medium 1.0Nectarine, one medium 1.0Mayonnaise, 1 Tbl 0.7Swiss chard, 1/2 cup 1.7Papaya cubes, 1 cup, 1.0Mustard greens, 1/2 cup 0.9
12
15
1000
IU
Biotin B7 or H
Nuts, liver, egg yolks, soybeans and fish are rich sources of biotin.
See table for dietary sources of biotin.
FOOD Biotin (mcg)
Peanuts, 1/2 cup: 73
Filberts, 1/2 cup: 51
Almonds, 1/2 cup: 34
Peanut butter, 2 Tbl: 32
Soy protein isolate, 1 oz: 8.5
Egg, 1 large cooked: 8.1
Cashews, 1/2 cup: 8.9
Low fat yogurt, 1 cup: 7.4
Haddock, 3.5 oz cooked: 6.0
Sweet potatoes, canned, 1/2 cup: 5.5
Swiss chard, cooked, 1/2 cup: 5.3
Salmon, 3.5 oz cooked: 5.0
Nonfat milk, 1 cup: 4.9
Tomato sauce, 1/2 cup: 4.7
Carrots, 1/2 cup, cooked: 3.9
Avocado, half: 3.6
Carrot, 7.5" raw: 3.6
Papaya cubes, 1 cup: 3.1
Banana, one: 3.1
Pork, 3.5 oz cooked: 3.0
Tuna, 3.5 oz canned: 3.0
NE
30
ND
µg
Boron
FOODAlmondApple (red)Apricots (dried)AvocadoBananaBeans (red kidney)Bran (wheat)Brazil NutsBroccoliCarrotCashew Nuts (raw)CeleryChick PeasDatesGrapes (red)
Boron (mg/100g)2.820.322.112.060.161.400.321.720.310.301.150.500.711.080.50
Hazel NutsHoneyLentilsOliveOnionOrangePeachPeanut ButterPearPotatoPrunesRaisinsWalnutWine (Shiraz Cabernet)
2.770.500.740.350.200.250.521.920.320.181.184.511.630.86
NE
-
20
mg
Calcium[3]
Dietary Sources of Calcium
FOOD
Calcium (mg)
Yogurt, low fat, with fruit, 1 cup
448
Salmon, canned, with bones, 3.5 oz
380
Molasses, blackstrap, 2 Tbl
350
Milk, skim, 1 cup
300
Ice milk, soft-serve, 1 cup
274
Cheese, Swiss, 1 oz
272
Yogurt, frozen, 1 cup
240
Sardines, 3.5 oz with bones
240
Cheese, cheddar, 1 oz
204
Cheese, cheddar, 1 oz
204
Ice cream, vanilla, 1 cup
176
Rhubarb, cooked, 1/2 cup
174
Cheese, cottage, 2% fat, 1 cup
155
Spinach, frozen, cooked, 1/2 cup
140
Tofu, regular, 1/2 cup
130
Soynuts, 1/2 cup
119
Collard greens, 1/2 cup
120
Almonds, 1/2 cup
92
Ice cream, vanilla, regular, 1/2 cup
85
Navy or baked beans, 1/2 cup
64
Mustard greens, 1/2 cup
51
Orange, 1 medium
52
Okra, 1/2 cup
50
Halibut, baked, 3 oz
51
Kale, fresh, cooked, 1/2 cup
47
Broccoli, cooked from fresh, 1/2 cup
42
NE
1000
2500
mg
Chloride
NE
2300
3600
mg
Chromium
Food
Chromium (mcg)
Broccoli, 1 cup, cooked
22.0
Turkey, leg, 3 oz. cooked
10.4
Juice, grape, 1 cup
7.5
Waffle, egg, 1 medium
6.7
Ham, 3 oz.
3.6
English muffin, one
3.6
Cookies, chocolate chip, one large
3.4
Potatoes, mashed, 1 cup
2.7
Bagel, egg, 1
2.5
Juice, orange, 1 cup
2.2
Green beans, 1 cup, cooked
2.2
NE
35
ND
µg
Choline
Food
Serving
Total Choline (mg)
Beef liver, pan fried
3 ounces*
355
Wheat germ, toasted
1 cup
172
Egg
1 large
126
Atlantic cod, cooked
3 ounces
71
Beef, trim cut, cooked
3 ounces
67
Brussel sprouts, cooked
1 cup
63
Broccoli, cooked
1 cup, chopped
62
Shrimp, canned
3 ounces
60
Salmon
3 ounces
56
Milk, skim
8 fl oz.
38
Peanut butter, smooth
2 tablespoons
20
Milk chocolate
1.5-ounce bar
20
*A three-ounce serving of meat or fish is about the size of a deck of cards.
NE
550
3500
mg
CopperCopper Content of FoodFood Copper (mcg)Beef liver, 3.5 oz. 450Oysters, cooked 3.5 oz 200Oysters, raw, 3.5 oz 110 Cashews, dry roasted, 1/2 cup 80Molasses, blackstrap, 2 Tbl 84Pumpkin seeds, roasted, 1/2 cup 78Black-eyed peas, cooked, 1/2 cup 70Clams, steamed, 3.5 oz 69Sunflower seeds, 1/2 cup 60Unsweetened chocolate, 1 oz 62Brewer's yeast, 2 Tbl 52Beans, refried, 1/2 cup 50Instant breakfast, fortified, 1 pkt 50V-8 juice, 1 cup 48Tofu, firm, 1/2 cup 24Prunes, dried, 10 40Salmon, baked, 3 oz. 30
700
900
10000
µg
Cyanocobalamin (B12)FOOD Vitamin B12 (mcg)Liver, beef, 3.5 oz 112Clams, steamed, 3.5 oz 99Oysters, raw, 3 oz 16Crab, cooked, 3 oz 9Trout, cooked, 3.5 oz 5Tuna, light, canned, 3.5 oz 1.8Low fat yogurt, 1 cup 1.4Milk, nonfat, 1 cup .93Frankfurters, beef, 1 .88Pork chop, broiled, 3.5 oz .6Egg, cooked .50 Cheese, provolone, 1 oz .41Chicken, white meat, 3.5 oz .36Chicken, dark meat, 3.5 oz .32 Cheddar cheese, 1 oz .24
2.0
2.4
ND
µg
Fluoride
Food
Serving
Fluoride (mg)
Tea
100 ml (3.5 fluid ounces)
0.1-0.6
Grape juice
100 ml (3.5 fluid ounces)
0.02-0.28
Canned sardines (with bones)
100 g (3.5 ounces)
0.2-0.4
Fish (without bones)
100 g (3.5 ounces)
0.01-0.17
Chicken
100g (3.5 ounces)
0.06-0.10
NE
4
10
mg
Folate (B9)
Item
Folate (mcg)
Liver, chicken, 3.5 oz cooked
770
Liver, beef, 3.5 oz cooked
220
Blackeyed peas, boiled, 1 cup
210
Lentils, 1/2 cup cooked
179
Beans, white, boiled, 1/2 cup
144
Black eye peas, 1/2 cup cooked
120
Broccoli, cooked, 1 cup
104
Spinach, cooked, 1/2 cup
103
White pasta , 1/2 cup cooked
98
Flour tortilla, 10" diameter
88
Collard greens, ckd ,fresh 1/2 cup
88
Romaine lettuce, 1 cup
76
Orange juice, 1 cup
75
Fresh spinach, 1 cup
58
Wheat germ, raw, 2 Tbl
50
Tofu, 1/2 cup
55
Papaya cubes, 1 cup
53
Vegetable juice, 1 cup
51
320
400
1000
µg
Iodine
Iodine Content of Food
Food
Iodine(mcg)
Salt, iodized, 1 tsp.
400
Haddock, 3 oz.
104 - 145
Bread, regular process, 1slice
35
Cheese, cottage, 2% fat, 1/2 cup
26 - 71
Shrimp, 3 oz.
21 - 37
Egg, 1
18 - 26
Cheese, cheddar, 1 oz.
5 - 23
Ground beef, 3 oz, cooked
8
95
150
1100
µg
Iron
Food
Iron(mg)
Clams,3.5 oz, steamed
22.0
Oysters, 3.5 oz cooked
8.5
Chicken liver, 3.5 oz cooked
8.5
Pumpkin seeds, 1/2 cup roasted
8.5
Tofu, 1/2 cup
6.7
Beef liver, 3.5 oz cooked
6.3
Oysters, 3.5 oz raw
5.4
Pistachios, 1/2 cup
4.4
Blackstrap molasses, 2 Tbl
3.6
Beef roast, 3.5 oz cooked
3.5
Ground beef, 3 oz, cooked
2.2
Lamb, 3.5 oz cooked
2.2
Unsweetened chocolate, 1 oz
1.8
Raisins, 1/2 cup
1.75
Pinto beans, 1/2 cup canned
1.75
Sunflower seeds, 1/2 cup
1.7
Sweet potatoes, canned, 1/2 cup
1.7
Pasta, 1 cup cooked
1.7
Pumpkin, 1/2 cup cooked
1.7
Baked potato w/skin, 1/2 cup
1.7
Turkey, white meat, 3.5 oz
1.6
Oatmeal, 1 cup cooked
1.6
Spinach, 1/2 cup, cooked
1.4
Canned tuna, 3.5 oz
1.3
6
8
45
mg
MagnesiumFood Magnesium (mg)Pumpkin seeds, 1/4 cup roasted 303Almonds, 1/2 cup 238Soy nuts, 1/2 cup 196Cashews, 1/2 cup 157Tofu, firm, 1/2 cup 128Peanuts, 1/2 cup 125Chili with beans, 1 cup 115Molasses, 2 Tbl 100Wheat germ, toasted, 2 Tbl 90Unsweetened chocolate, 1 oz 88Sunflower seeds, 1/4 cup 82Halibut, baked, 3 oz. 78Swiss chard, cooked, 1/2 cup 75Spinach, 1/2 cup cooked 66Black beans, 1/2 cup 60Oatmeal, 1 cup cooked 56Peanut butter, 2 Tbl 51Baked potato with skin, 1 55Cereal, raisin bran, 1 oz. 48Low fat yogurt, 1 cup 43Milk, nonfat, 1 cup 28Chicken, breast, 3 oz. 25Green peas, cooked, 1/2 cup 23
330
400
350a
Mg
ManganeseFood Manganese (mg)Wheat germ, 2 Tbl 2.8Pecans, 1/4 cup 2.7Whole wheat pasta, 1 cup 1.9Soy nuts, 1/4 cup .85Pumpkin seeds, 1/4 cup 1.7Cooked oatmeal, 1 cup 1.4Sweet potatoes, 1/2 cup 1.3Pineapple, fresh, 1/2 cup 1.3Pineapple juice, 1/2 cup 1.2Oysters, cooked 3.5 oz 1.2Blackstrap molasses, 2 Tbl 1.2Tomato juice, 1 cup 1.0Blackberries, 1/2 cup 0.9Grape juice, 1 cup 0.9Spinach, 1/2 cup 0.9Brown rice, 1/2 cooked 0.9Soy nuts, 1/4 cup 0.9Almonds, 1/4 cup 0.8Tofu, 1/2 cup 0.8Sunflower seeds, 1/4 cup 0.7
NE
2.3
11
Mg
MolybdenumFood Molybdenum (mcg)Navy beans, 1/2 cup ckd 98Black-eye peas, 1/2 cup ckd 90Lentils, 1/2 cup ckd 74Split peas, 1/2 cup ckd 74Lima beans, 1/2 cup ckd 71Kidney beans, 1/2 cup ckd 66Black beans, 1/2 cup ckd 65Almonds, 1/4 cup 11.6Peanuts, 1/4 cup 10.6Chestnuts, 1/4 cup 10.6Cashews, 1/4 cup 9.5Yogurt, 1 cup 11.3Egg, 1, cooked 9.0Veal liver, 3.5 oz 8.9Green soybeans, 1/2 cup 6.4Cottage cheese, 1/2 cup 5.2Milk, 1 cup 4.9 Tomatoes, fresh, 1/2 cup 4.5
34
45
2000
µg
Niacin (B3)
Food Niacin (mg)
Beef liver, cooked 3.5 oz 14.4
Peanuts, 1/2 cup 10.5
Chicken, white meat, cooked 13.4
Tuna, canned in water, 3 oz 11.8
Salmon, cooked 3.5 oz 8.0
Corn grits, instant, 1 pkt 6.8
Ground beef, cooked 3.5 oz 5.3
Cheerios, 1 cup 5.0
Peanut butter, 2 Tbl 4.4
Almonds, 1/2 cup 1.4
Potato, baked with skin 3.3
Bagel, plain, 2.5 oz 3.3
Flour tortilla, 10" 2.6
Pasta, cooked 1 cup 2.3
Mushrooms, raw, 1/2 cup 1.7
Barley, cooked 1/2 cup 1.6
Corn, yellow, 1/2 cup 1.3
Mango, 1 medium 1.5
Lentils, cooked 1/2 cup 1.4
Sweet potatoes, cooked 1/2 1.2
Peach, raw, medium .9
Carrot, raw, medium .7
12
16
35
mg
Nickel
Nickel content in food
High content(more than 0.5 mg/kg)
Medium content(0.1-0.5 mg/kg)
Low content(less than 0.1 mg/kg)
Mussels
Various mushrooms
Meat
Dark chocolate
Oysters
Ham
Coco powder
Milk chocolate
Sausage
Liquorice
Eggs
Poultry
Hazel nuts
Raspberries
Liver
Almond
Blackcurrant
Kidney
Peanuts
Cloudberries
Cucumber
Pistage nuts
Kale
Cheese
Walnuts
Parsley
Milk
Alpha alpha seeds
Garlic
Yogurth
Brown beans
Parsnip
Onion
Soy beans
Horseradish
Cabbage
Pulses (green)
Corn flour
Beetroot
Mung beans
Rye
Spinach
Chickpeas
Barley
Corn
Yellow peas
Rice
Flour
Linseed
Salad
Poppy seed
Carrots
Oatmeal
Potatoes
Wheat bran
Fish
Oat bran
Squash
Mill
Apple
Soy flour
Pear
Buckwheat
Strawberries
As analysed by the Swedish Food Administration
NE
-
1.0
Mg
Pantothenic acid (B5)
FOOD Pantothenic Acid (mg)
Liver, beef, 3.5 oz 5.3
Sunflower seeds, 1/4 cup 2.3
Low fat yogurt, 1 cup 1.5
Salmon, baked, 3.5 oz 1.4
Poultry, dark meat, 3.5 oz 1.3
Poultry, white meat, 3.5 oz 1.0
Peanuts, 1/2 cup 1.0
Avocado half 1.0
Mushrooms, ckd, 1/2 cup .84
Milk, nonfat, 1 cup .80
Ice milk, soft serve, 1 cup .78
Corn, cooked, 1/2 cup .72
Potato, baked, one .70
Sweet potato, 1/2 cup .68
Dates, 10 .65
Wheat germ, raw, 1/4 cup .65
Liverwurst, 1 slice .53
Cheese, blue, 1 oz .49
Oatmeal, cooked, 1 cup .47
Broccoli, boiled, 1/2 cup .40
Papaya, 1/2 cup .33
Cheese, cottage, 1/2 cup .27
Peanut butter, creamy, 2 T .26
Strawberries, 1 cup .25
Orange juice, 1 cup .24
NE
5
ND
mg
PhosphorusFood Phosphorous (mg)Pumpkin seed kernels, 1/4 cup 665Sardines w/bones, 3.5 oz 425Sunflower seeds, 1/4 cup 377Low fat yogurt, 1 cup 352Halibut, 3.5 oz ckd 285Salmon or trout, 3.5 oz ckd 260Sole, baked, 3 oz. 248Nonfat milk, 1 cup 247Chicken, light meat, 3.5 oz ckd 221Beef steak, cooked 3.5 oz 218Almonds, dry roasted, 1/4 cup 215Split pea soup, 1 cup 213Cheese, American, 1 oz. 211Ham, 3 oz. 210Ice milk, soft-serve, 1 cup 202Lentils, cooked 1/2 cup 178Oatmeal, 1 cup 178Wheat germ, 1 Tbl 162Navy or baked beans, 1/2 cup 155Ground beef, 3.5 oz. 155Peanuts, 1/4 cup 150Tofu, regular, 1/2 cup 120Potato, baked, with skin, 1 115Garbanzo beans, canned, 1/2 cup 108
580
700
4000
mg
Potassium
POTASSIUM-RICH FOOD CHARTIMPORTANT FOR CESIUM CHLORIDE USERS:Those using Cesium Chloride MUST supplement with Potassium. Use the food chart below to add more potassium-rich foods to your diet.*
Food from
Serving Size
Potassium
FRUITS**Apple w/skinApple Juice, unsweetenedApricots, dried sulfuredAvocadoBananaCantalope, cubedDatesFigs, driedKiwiMangoOrangeOrange JuicePapayaPeachPearPrune Juice, unsweetenedRaisinsStrawberries, rawWatermelon
1 small1/2 cup10 halves1 ounce1 small1 cup5411 medium1 small1/2 cup1 cup1 medium1 medium1/2 cup1/4 cup1 cup1 cup
Approximately148 mg125 mg407 mg100 mg422 mg427 mg227 mg516 mg237 mg323 mg248 mg236 mg360 mg186 mg198 mg354 mg273 mg254 mg170 mg
VEGETABLESArtichoke, cookedAsparagus, cookedBeet Greens, cookedBroccoliBrussel Sprouts, freshCabbage, cookedCarrots, freshCauliflower, freshGarbanzo BeansGreen Beans, freshKidney Beans, cookedLettuce, iceburgMushrooms, cookedPinto Beans, cookedPotato, baked with skinSpinach, steamedSweet Potato, with skinTomato, freshTomato Juice
1 cup1 cup1/2 cup1/2 cup1/2 cup1/2 cup1/2 cup1/2 cup1/2 cup1/2 cup1/2 cup1 cup1/2 cup1/2 cup1 medium1/2 cup11/2 cup1 cup
Approximately595 mg288 mg655 mg143 mg47 mg147 mg177 mg151 mg240 mg187 mg355 mg87 mg277 mg400 mg422 mg415 mg508 mg200 mg535 mg
DAIRYCottage Cheese, 2%Ice Cream, vanillaMilk, 2 %Ricotta CheeseYogurt
1 cup1/2 cup1 cup1/2 cup6 ounces
Approximately217 mg131 mg377 mg154 mg398 mg
OTHERAlmondsBeef, lean cookedBread, wheatBrazil NutsEggHamburgerHalibutMolassesPeanuts, saltedPeanut Butter, naturalRice, brownRice, whiteSalmon, baked or steamedSalmon, cannedTuna, cooked yellowfinTurkey, roasted dark meat
2 ounces3 ounces1 slice2 ounces1 med.4 oz.3 oz.1 tablespoon2 ounces2 tablespoons1 cup1 cup3 ounces4 oz.3 ounces3 ounces
Approximately412 mg224 mg59 mg340 mg55 mg383 mg490 mg498 mg374 mg214 mg105 mg42 mg319 mg409 mg484 mg
NE
4700
ND
mg
Riboflavin (B2)FOOD Riboflavin (mg)Liver, beef, cooked 3.5 oz 4.14Almonds, 1/2 cup 0.78Soy nuts, 1/2 cup 0.65Mackerel, canned 3.5 oz 0.54Yogurt, low fat, 1 cup 0.52Steamed clams, 3.5 oz 0.43Milk, nonfat, 1 cup 0.34Yogurt, low-fat, 1 cup 0.37Clams, canned, 3 oz 0.36Ice milk, soft serve, 1 oz 0.34Egg, cooked 0.25Pork, loin, cooked 3 oz 0.24Pasta, cooked 1 cup 0.23Bagel, plain, 0.22Hamburger, lean, 3.5 oz 0.21Cheese, cottage, 1/2 cup 0.21Chicken, dark, cooked 3 oz 0.19Spinach, ckd, 1/2 cup 0.16Wheat germ, raw, 2 Tbl 0.12
1.1
1.3
ND
mg
SeleniumFood Selenium (mcg)Brazil nuts, 1/4 cup 1036Oysters, 3.5 oz 115Chicken liver 3.5 oz 71Raw oyster, 3.5 oz 70Steamed clams, 3.5 oz 64Beef liver, 3.5 oz 57Sardines, 3.5 oz 46Crab, 3.5 oz 40Whole wheat pasta, 1 cup 36White pasta, 1 cup 30Wheat germ, 1/4 cup 28Molasses, blackstrap, 2 T. 25Sunflower seeds, 1/4 cup 26Cooked oatmeal, 1 cup 19Soy nuts, 1/2 cup 17Freshwater fish, 3.5 oz 15Egg, boiled, one 13Tofu, 1/2 cup 11
45
55
400
µg
SodiumFood Sodium (mg)Table Salt , 1 tsp 2358Pickles, dill, 1 large 1731Canned chicken soup, 1 cup 850Sauerkraut, 1/2 cup 780Pretzels, 1 oz 486Cottage cheese, 1/2 cup 459Sardines, 3 oz 429Deli ham, 1 oz 341Deli turkey breast, 1 oz 335Soy Sauce, 1 tsp 304Cheese, American, 1 oz 304Cornflakes, 1 cup 298Olives, black, 5 large 192Deli bologna 295Potato Chips, 1 oz 183
NE
1500
2300
Mg
Sulfate
Foods and
Amino Acids
that contain Sulphur
Asparagus
Avocado
Blueberries
Broccoli
Brussel Sprouts
Cabbage
Caluiflower
Cabbage
Carrots
Cheese
Cherries
Chives
Coconut
Eggs (Yokes) *
Garlic
Grapes
Grains
Kale
_________
Cysteine
Taurine
Methionine
Kohlrab
Leeks
Legumes
Meat Protein
Mustard
Nuts & Seeds
Onions
Pak Choi
Parsley
Radishes
Red Peppers
Rutabaga
Shallot
Swiss Chard
Tomatoes
Turnips
Watercress
NE
-
ND
-
Thiamin (B1)
Food
Serving
Thiamin (mg)
Lentils (cooked)
1/2 cup
0.17
Peas (cooked)
1/2 cup
0.21
Long grain brown rice (cooked)
1 cup
0.19
Long grain white rice, enriched (cooked)
1 cup
0.26
Long grain white rice, unenriched (cooked)
1 cup
0.04
Whole wheat bread
1 slice
0.10
White bread, enriched
1 slice
0.11
Fortified breakfast cereal
1 cup
0.5-2.0
Wheat germ breakfast cereal
1 cup
4.47
Pork, lean (cooked)
3 ounces*
0.72
Brazil nuts
1 ounce
0.18
Pecans
1 ounce
0.19
Spinach (cooked)
1/2 cup
0.09
Orange
1 fruit
0.10
Cantaloupe
1/2 fruit
0.11
Milk
1 cup
0.10
Egg (cooked)
1 large
0.03
*3 ounces of meat is a serving about the size of a deck of cards
1.0
1.2
ND
Mg
Zinc
Food
Serving
Zinc (mg)
Oysters
6 medium (cooked)
76.3
Crab, Dungeness
3 ounces (cooked)
4.7
Beef
3 ounces* (cooked)
6.0
Pork
3 ounces (cooked)
2.2
Chicken (dark meat)
3 ounces (cooked)
1.8
Turkey (dark meat)
3 ounces (cooked)
3.8
Yogurt, fruit
1 cup (8 ounces)
1.8
Cheese, cheddar
1 ounce
0.9
Milk
1 cup (8 ounces)
1.8
Cashews
1 ounce
1.6
Almonds
1 ounce
1.0
Peanuts
1 ounce
0.9
Beans, baked
1/2 cup
1.8
Chickpeas (garbanzo beans)
1/2 cup
1.3
*A three-ounce serving of meat is about the size of a deck of cards
9.4
11
40
mg
a From pill only, not including food and water intake. [However, sustained-release formulations exceeding this dose are well tolerated.]
EAR: Estimated Average Requirements; RDA: Recommended Dietary Allowances; AI: Adequate Intake; UL: Tolerable upper intake levels.
It is also recommended that the following substances not be added to food or dietary supplements. Research has been conducted into adverse effects, but was not conclusive in many cases:
Substance
RDA/AI
UL
units per day
Arsenic
-
ND
-
Silicon
-
ND
-
Vanadium
-
1.8
mg
[edit] Macronutrients
RDA/AI is shown below for males and females aged 40–50 years.[2]
Substance
Amount (males)
Amount (females)
Waterb
3.7 L/day
2.7 L/day
Carbohydrates
130 g/day
130 g/day
Proteinc
56 g/day
46 g/day
Fiber
38 g/day
25 g/day
Fat
20–35% of calories
Linoleic acid, an omega-6 fatty acid (polyunsaturated)
17 g/day
12 g/day
alpha-Linolenic acid, an omega-3 fatty acid (polyunsaturated)
1.6 g/day
1.1 g/day
Cholesterol
As low as possible
Trans fatty acids
As low as possible
Saturated fatty acids
As low as possible
Added sugar
No more than 25% of calories
bIncludes water from food, beverages, and drinking water.
cBased on 0.8 g/kg of body weight
[edit] Calculating the RDA
The equations used to calculate the RDA are as follows:
"If the standard deviation (SD) of the EAR is available and the requirement for the nutrient is symmetrically distributed, the RDA is set at two SDs above the EAR:
RDA = EAR + 2 SD(EAR).
If data about variability in requirements are insufficient to calculate an SD, a coefficient of variation (CV) for the EAR of 10 percent is assumed, unless available data indicate a greater variation in requirements. If 10 percent is assumed to be the CV, then twice that amount when added to the EAR is defined as equal to the RDA. The resulting equation for the RDA is then
RDA = 1.2 × EAR.
This level of intake statistically represents 97.5 percent of the requirements of the population."[1]
Friday, December 18, 2009
CBEST / IA (Parapro) www.testprepreview.com + Self Improvement Directory
Basic Algebra
1. If Lynn can type a page in p minutes, what piece of the page can she do in 5 minutes?
1 page ------->p min.;
x pages ------>5 min.;
The answer is A. 5/p
Just set up a cross multiplication problem and sub in any number you want for p. When you cross multiply you will realize that number will be on the denominator when you divide. Hence, the answer must have p on the bottom;
2. If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?
(1/4)x+(1/6)x=1;
multiply both sides by 12;
3x+2x=12;
5x=12x=2.4 hours or 2 hours and 24 minutes;
3. Employees of a discount appliance store receive an additional 20% off of the lowest price on an item. If an employee purchases a dishwasher during a 15% off sale, how much will he pay if the dishwasher originally cost $450?
Take off 15% of the original $450 which is $67.50;
Discount= $382.50;
Take off a further 20% of that discounted price of $382.50;
Which is another $76.50;
Discount = $306;
4. The sales price of a car is $12,590, which is 20% off the original price. What is the original price?
Original Price = Sales Price divided by (1 minus discount rate)
Original Price = $12,590 divided by (1 minus 20%)
Original Price = $12,590 divided by 80%;
Original Price = $15,737.50;
Final Answer: $15, 737.50;
Proof: $15,737.50 multiply by 80% equals $12,590;
5. Solve the following equation for A : 2A/3 = 8 + 4A?
Multiply both sides by 3; 2A=24+12Athen ; -24=10Athen A=-2.4;
6. If Leah is 6 years older than Sue, and John is 5 years older than Leah, and the total of their ages is 41. Then how old is Sue?
S=L-6
J=L+5
L+(L-6)+(L+5) = 41
3L-1= 41
3L=42
L=14;
7. Alfred wants to invest $4,000 at 6% simple interest rate for 5 years. How much interest will he receive? Simple Interest = Principle x Rate x YearswherePrinciple = 4000Rate = 6% = 0.06Years = 5Simple Interest = 4,000 x 0.06 x 5= 1200;
8. Jim is able to sell a hand-carved statue for $670 which was a 35% profit over his cost. How much did the statue originally cost him?
Let x be the original amount.To that you add 35% of x --> 0.35xThe new amount is $670Write an equation:
x + (0.35)x = 670
(1 + 0.35)x = 670
1.35x = 670
x = 670/1.35
x ≈ 496.30;
9. The city council has decided to add a 0.3% tax on motel and hotel rooms. If a traveler spends the night in a motel room that costs $55 before taxes, how much will the city receive in taxes from him?
0.3% is .003
$55 X .003 = $.165;
10. A student receives his grade report from a local community college, but the GPA is smudged. He took the following classes:
a 2 hour credit art,
a 3 hour credit history,
a 4 hour credit science course,
a 3 hour credit mathematics course, and
a 1 hour science lab. He received
a “B” in the art class, an “A” in the history class,
a “C” in the science class,
a “B” in the mathematics class, and
an “A” in the science lab.
What was his GPA if the letter grades are based on a 4 point scale?
(A=4, B=3, C=2, D=1, F=0).
You have to add up the total number of hours that each class is worth. If a class is longer, it will be worth more points.
Art: 2 Hrs, B = 2x3= 6
History: 3 Hrs, A = 3x4=12
Science:4 Hrs, C= 4x2= 8
Math: 3 Hrs, B = 3x3= 9
Lab: 1 Hr, A = 1x4= 4
Total Hours= 13,
Total Credits= 39
Credits/Hours=3Final GPA: 3.0;
11. Simon arrived at work at 8:15 A.M. and left work at 10: 30 P.M. If Simon gets paid by the hour at a rate of $10 and time and ½ for any hours worked over 8 in a day. How much did Simon get paid?
8:15-12.00pm is 3 hours 45 mins
1200pm-1030pm is 10 hours 30 mins
He worked 14 hour and 15 mins
He worked 8 normal 8 hours and 6 hours and 15 mins over time.
So he gets piad 10 dollars an hour so $80.00 for 8 hours.
So he gets paid 15 dollars an hour so $93.75 for his 6 1/4 hour overtime.
He gets paid $173.75 total;
12. Grace has 16 jellybeans in her pocket. She has 8 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?
If she take 12 she will run out of red and green jellybeans; Answer: 8+4+1=13;
13. If r = 5 z then 15 z = 3 y, then r = ?
15z = 3y
Divide each side of the equation by three.
5z = y
Since you already know that r = 5z, you can substitute r for 5z. Therefore:r = y;
14. If 300 jellybeans cost you x dollars. How many jellybeans can you purchase for 50 cents at the same rate?
300 jellybeans cost x dollars
300/x jellybeans cost one dollar
(300/x)/2 = 150/x jellybeans costs fifty cents;
15. Lee worked 22 hours this week and made $132. If she works 15 hours next week at the same pay rate, how much will she make;
132 / 22 = $6 per hour.
So multiply 15 x 6 and you get $90;
16. If 8x + 5x + 2x + 4x = 114, the 5x + 3=?
8x+5x+2x+4x =19x = 114
114/19= 6 = x
5(6) +3 = 33;
17. You need to purchase a textbook for nursing school. The book cost $80.00, and the sales tax where you are purchasing the book is 8.25%. You have $100. How much change will you receive back?
Sales Tax will be $6.60:0.0825 x $80.00 = $6.60
Add that to the sale price:80.00 + 6.60 = 86.60
Make the change from $100 bill:$100 - $86.60= $13.40;
18. You purchase a car making a down payment of $3,000 and 6 monthly payments of $225. How much have you paid so far for the car?
$3,000.00 + (6 x $225) is:
$3,000.00 + $1,350.00 =$4,350.00 paid so far;
19. Your supervisor instructs you to purchase 240 pens and 6 staplers for the nurse's station. Pens are purchased in sets of 6 for $2.35 per pack. Staplers are sold in sets of 2 for 12.95. How much will purchasing these products cost?
(240/6)*$2.35 + (6/2)*$12.95 =40*$2.35 + 3*$12.95 =$94 + $38.85 =$132.85;
20. If y = 3, then y^3(y^3-y)= ?
y^3 = 27
27(27-3) =(27)(24)= 648;
Advanced Algebra
1. If the average of three numbers is V. If one of the numbers is Z and another is Y, what is the remaining number?
(x+y+z)/3=v
x+y+z=3v
x=3v-y-z
2. Two cyclists start biking from a trail's start 3 hours apart. The second cyclist travels at 10 miles per hour and starts 3 hours after the first cyclist who is traveling at 6 miles per hour. How much time will pass before the second cyclist catches up with the first from the time the second cyclist started biking?
The first cyclist has a 3 hour head start--and in those three hours, has traveled 3 * 6 = 18 miles.
The question now is: how long will it take for the second cyclist to travel 18 miles more than the first cyclist. The second cyclist will gain 10 - 6 = 4 miles / hour.
so 18 / 4 = 4.5 hours.
the second cyclist will catch up in 4.5 hours after starting.
with equation goodness:
distance = speed * time (where t is time after the second cyclist starts.
18 = 10t - 6t = 4t
18/4 = t = 4.5
3. Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill the pool together?
If Jim can fill a pool in 30 minutes, he fills 1/30 of a pool in 1 minute. Sue fills 1/45 of a pool in 1 minute. Tony fills 1/90 per minute.
1/30 + 1/45 + 1/90 = 3/90 + 2/90 + 1/90 = 6/90 per minute.
Since they do 6/90 of the job in one minute, they do the full ("1") job in 6/90 * 90/6 minutes.
So the full job would take 90/6 = 15 minutes.
4. Mary is reviewing her algebra quiz. She has determined that one of her solutions is incorrect. Which one is it?
E. t - 2t - 3t = 32, t = 8
8-2*8-3*8=8-16-24=-32
5. What simple interest rate will Susan need to secure to make $2,500 in interest on a $10,000 principal over 5 years?
Simple Interest can be solved very easily with an easy formula.
I = PRT
where...
I = Interest earned
P = Principal amount
R = Interest Rate
T = Time
In this case, we want the Interest rate! So rearrange the formula to find R:
I = PRT
R = I/PT
Then just substitute the values in. Easy as that
R = I/PT
R = 2500/(10000*5)
R = 2500/50000
R = 0.05
WHICH IS A INTEREST RATE OF 5%.
6. Which of the following is not a rational number?
A. -4
B. 1/5
C. 0.8333333...
D. 0.45
E. sqrt( 2 )
sqrt(2)
Any number that cannot be written as a fraction is irrational.
7. A study reported that in a random sampling of 100 women over the age of 35 showed that 8 of the women were married 2 or more times. Based on the study results, how many women in a group of 5,000 women over the age of 35 would likely be married 2 or more times?
8/100=x/5000
cross multiply and solve for x.
8. John is traveling to a meeting that is 28 miles away. He needs to be there in 30 minutes. How fast does he need to go to make it to the meeting on time?
x=vt
x= 28 miles
t= 30 min = 0.5 h
so, v= 28/0.5 = 56 miles/hour (minimum).
9. If Steven can mix 20 drinks in 5 minutes, Sue can mix 20 drinks in 10 minutes, and Jack can mix 20 drinks in 15 minutes, how much time will it take all 3 of them working together to mix the 20 drinks?
Steven makes 20/5 = 4 drinks per minute
Sue makes 20/10 = 2 drinks per minute
Jack makes 20/15 = 4/3 drinks per minute
4 + 2 + 4/3 = 7 1/3 drinks per minute
20 / (7 1/3) = 20/ (22/3) = 20 * 3 / 22 = 60/22 = ~2.73 minutes~2.73 minutes or ~2 minutes
43.6 seconds.
10. If Sam can do a job in 4 days that Lisa can do in 6 days and Tom can do in 2 days, how long would the job take if Sam, Lisa, and Tom worked together to complete it?
rate * time = progress. sure, abstract but you get the idea.
sam's rate is 1/4, lisa's is 1/6 and tom's is 1/2. that is, to get a 1 unit of progress done, time must be 2 for tom so that rate is forced to be 1/2.
then the total rate is simply the sum of the 3:
(1/4 + 1/6 + 1/2) * time = progress. again, the job is 1 unit of progress so we simply need to know time. this will be 1 / (1/4 + 1/6 + 1/2).
we can find a common denominator for this expression:
1 / ( 3/12 + 2/12 + 6/12) = 1 / (11/12) = 12/11
now, that has units of days. So, it should take sam, lisa, and tom about 1.09 days to do this job if they work together.
11. Jim has 5 pieces of string. He needs to choose the piece that will be able to go around his 36-inch waist. His belt broke, and his pants are falling down. The piece needs to be at least 4 inches longer than his waist so he can tie a knot in it, but it cannot be more that 6 inches longer so that the ends will not show from under his shirt. Which of the following pieces of string will work the best?
A. 3 feet
B. 3 ¾ feet
C. 3 ½ feet
D. 3 ¼ feet
E. 2 ½ feet
36 inch waist + 4 inches = 40 inches
36 inch + 6 inches = 42 inches
So the string must be between 40 inches and 42 inches
36 inches = 3 feet
so... 40 inches = 3 feet, 4 inches = 3 4/12 = 3 1/3 feet
42 inches = 3 feet, 6 inches = 3 1/2 feet
The only one that is between 3 1/3 and 3 1/2 is: C. 3 1/2 feet.
12. The last week of a month a car dealership sold 12 cars. A new sales promotion came out the first week of the next month and the sold 19 cars that week. What was the percent increase in sales from the last week of the previous month compared to the first week of the next month?
a 58.3% increase
7 more cars sold so,
7/12 = 58.3% increase as a percentage of last weeks sales.
13. If two planes leave the same airport at 1:00 PM, how many miles apart will they be at 3:00 PM if one travels directly north at 150 mph and the other travels directly west at 200 mph?
www.milearn.com/fileup/Math%20Problems_A.pdf
The north bound plane traveled 150x2 = 300 miles (north)
The west bound plane traveled 200x2 - 400 miles (west)
The distance between them is the length of the hypotenuseof the right triangle formed by the their travel. You shouldrecognize it is in the same ratio as a 3-4-5 right triangle, sothe distance will be 500 miles. Or, just use the Pythagorean theorem:
a^2 + b^2 = c^2 ==> 300^2 + 400^2 = c^2 ==> c^2 = 250,000==>c = 500
14. During a 5-day festival, the number of visitors tripled each day. If the festival opened on a Thursday with 345 visitors, what was the attendance on that Sunday?
345*3=1035 (fri)
1035*3=3105 (sat)
3105*3=9315(sunday
Averages and Rounding
1. Round 907.457 to the nearest tens place.
907.457 rounded off to nearest tens place is 910. If it were asked to round off to nearest "tenths" place, it would have been 907.5
2. At a certain high school, the respective weights for the following subjects are: Mathematics 3, English 3, History 2, Science 2 and Art 1. What is a student's average whose marks were the following: Geometry 89, American Literature 92, American History 94, Biology 81, and Sculpture 85?
Since the subjects are weighted, look at it like this:
Math is worth 3x; (89 x 3 = 267)
Lit is worth 3x; (92 x 3 = 276)
History is worth 2x; (94 x 2 = 188)
Science is worth 2x; (81 x 2 = 162)
Art is worth 1x ;(85 x 1 = 85)
So, 11x = 978
x = 88.909; Round to 88.9
3. Ginger over the course of an average work-week wanted to see how much she spent on lunch daily. On Monday and Thursday, she spent $5.43 total. On Tuesday and Wednesday, she spent $3.54 on each day. On Friday, she spent $7.89 on lunch. What was her average daily cost?
Add all them up then divide them by the number of days. So:
5.43 + 3.54 + 3.54 + 7.89 = 20.4
20.4/5 = 4.08
So the average daily cost was $4.08
(A lot of people are getting this wrong, because they think she spent $5.43 on both Monday and Thursday, but actually she spent that on both of those days combined.)
4. What is 1230.932567 rounded to the nearest hundredths place?
www.tutorcentral.net/QuizManager/displayquiz.asp?FormID=145
www.wdeptford.k12.nj.us/.../2.%20%20Averages%20and%20Rounding.pdf
hubpages.com/hub/Wonderlic-Personnel-Test-Questions
jsbursch.net/.../pte/docs/ACC-GED-Math-WordProblems-Simple.doc
1230.93
For hundredths, think of it as money.
5. Subtract the following numbers rounded to the nearest tenths
www.wdeptford.k12.nj.us/.../2.%20%20Averages%20and%20Rounding.pdf
subtraction:
134.679-(-45.548)-(-67.8807)=248.11 (rounded to 10th place)
6. What is the absolute value of -9?
9
7. What is the median of the following list of numbers? 4, 5, 7, 9, 10, 12
(7+9)/2 = 8
The median of a set having an even number of elements is the average of the middle two when they are sorted into order.
8. What is the mathematical average of the number of weeks in a year, seasons in a year, and the number of days in January?
jsbursch.net/.../pte/docs/ACC-GED-Math-WordProblems-Simple.doc
www.testmyhead.com/Assessment/Testing.aspx?TestId=54408f89-fec3-4374-8b50-3de76c43c7f5
jsbursch.net/.../pte/docs/ACC-GED-Math-WordProblems-Simple.doc
www.tutorcentral.net/QuizManager/displayquiz.asp?FormID=145
For simplicity, let's assume that leap years occur every 4 years.
Year X contains 365 days
Year X+1 contains 365 days
Year X+2 contains 365 days
Year X+3 contains 366 days and so forth (the cycle repeats itself)
a) average weeks is given by the weighted average.
probability of non-leap year = p(non-leap)=3/4.
probability of leap year = p(leap)=1/4.
weeks in non-leap year, w(non-leap)= 365/7.
weeks in leap year, w(leap) = 366/7.
Therefore, the weighted average = w(leap)*p(leap)+w(non-leap)*p(non-leap)
b) define "season", question is unclear.
c) always 31 days in january
9. In a college, some courses contribute more towards an overall GPA than other courses. For example, a science class is worth 4 points; mathematics is worth 3 points; history is worth 2 points; and English is worth 3 points. The values of the grade letters are as follows, A= 4, B=3, C=2, D=1, F=0. What is the GPA of a student who made a “C” in Trigonometry, a “B” in American History, an “A” in Botany, and a “B” in Microbiology.
This is a "weighted" average. Multiply your grades by theweights, sum that up, and divide by the sum of the weights:
The C in trig gets you 2 for the C and a weight of 3 since its math
B in history gets you 3 points with a weight of 2
A in botany gets you 4 points with a weight of 4
B in microbiology gets you 3 points with a weight of 4
so sum1 = 2x3 + 3x2 + 4x4 + 3x4 = 40
sum2 = 3 + 2 + 4 + 4 = 13
The GPA is then 40/13 = 3.08
10. Over the course of a week, Fred spent $28.49 on lunch. What was the average cost per day?
http://siliconinvestor.advfn.com/readmsg.aspx?msgid=21455460
www.wdeptford.k12.nj.us/.../2.%20%20Averages%20and%20Rounding.pdf
If the week is just the work week, then 28.49/5 = 5.698 or 5.70 per day.Over the entire week, divide by seven to get 4.07 per day.
11. A roast was cooked at 325° F in the oven for 4 hours. The internal temperature rose from 32° F to 145° F. What was the average rise in temperature per hour
If the internal temp. rose from 32 °F to 145 °F over the course of 4 hours, the average rise =(145-32)/4 °F.
12. In the number 743.25 which digit represents the tenths space?
The tenths is always the number right after the decimal point. Thus, the answer is 2.
The hundredTHS is 5.
In contrast, the tens ( note no -ths suffix) is 3. the hundreds is 4 and the thousands is 7.
You do not have a thousanths digit in the given.
Arithmetic
1. Add 0.98 + 45.102 + 32.3333 + 31 + 0.00009
31.00000
00.98000
45.10200
32.33330
00.00009
=
109.41539
2. Find 0.12 ÷ 1
.12
3. (9 ÷ 3) x (8 ÷ 4) =
6
4. 6 x 0 x 5
0
5. 7.95 ÷ 1.5
79.5/15=5.3
75
____
45
45
____
0
6. -32 + 7 equals:
-25
7. -37 + -47 equals:
-84
8. 41% equals:
.41
Commas
1. For the Thanksgiving reunion, relatives were sitting in the dining room, on the porch, and in the carport.
No error
http://shec.hcs.k12.nc.us/www/SHEC_HCS/site/hosting/Accuplacer/296,7,Slide 7
2. Lydia seems to be a kind, considerate girl.
No error
3. This fishing pole Nathan, has seen better days.
Pole, Nathan,
4. My cousin has moved to 56 Central Street Narragansett, Rhode Island 02882.
Central Street,
5. The badger, a shy animal sometimes makes friends with a coyote.
A shy animal,
6. After the death of Blackbeard, the famous pirate, piracy disappeared from the coast of the American colonies.
No error
7. “Silent Night” was written by two men from the village of Oberndorf Austria.
Oberndorf, Austria
8. On November 19, 1929 Admiral Richard E. Byrd flew the Floyd Bennett to the base of the Queen Maud Mountains.
1929,
9. Oh I forgot to bring the cookies
Oh,
10. “The boy in the kayak,” whispered Sue “is the new football captain."
No error
Estimation and Sequences
1. Describe the following sequence in mathematical terms. 144, 72, 36, 18, 9
Descending arithmetic sequence
2. Which of the following is not a whole number followed by its square?
A. 1, 1
B. 6, 36
C. 8, 64
D. 10, 100
E. 11, 144
11, 144
3. A nurse has to record her temperatures in Celsius but her thermometer reads Fahrenheit. A patient's temperature is 100.7° F. What is the temperature in °C?
5/9 ( 100.7-32)C=38.1666C=38.2 C
4. Art realized that he had 2 more quarters than he had originally thought in his pocket. If all of the change in his pocket is quarters and it totals to $8.75, how many quarters did he originally think were in his pocket?
http://home.earthlink.net/~djbach/lessons.html
(8.75-.50)/.25=X = 33 or second option:
Divide 875 by 25, then subtract two from your answer.
5. There are 12 more apples than oranges in a basket of 36 apples and oranges. How many apples are in the basket?
Let x+12=apples
Let x =oranges
so (x)+(x+12)=36
2x +12=36
2x=24
x=12 which was oranges
and we let x+12=apples; so12+12 = 24 apples
6. Which of the following correctly identifies 4 consecutive odd integers where the sum of the middle two integers is equal to 24?
A. 5, 7, 9, 11
B. 7, 9, 11, 13
C. 9, 11, 13, 15
D. 11, 13, 15, 17
E. 13, 15, 17, 19
C
7. What is the next number in the sequence? 6, 12, 24, 48, ___
96
8. Which of the following numbers could be described in the following way: an integer that is a natural, rational and whole number?
A. 0
B. 1
C. 2.33
D. -3
E. none of the above
B. 1
9. What is the next number in the following pattern? 1, 1/2, 1/4, 1/8, ___
1/16
10. Of the following units, which would be most likely to measure the amount of sugar needed in a recipe for 2 dozen cookies
A. degrees Celsius
B. milliliters
C. quarts
D. kilograms
E. cups
E
Exponents
1. 10^4 is not equal to which of the following?
100,000
2. Multiply 10^4 by 10^2
10^6
3. Divide x^5 by x^2
x^3
4. Find 8.23 x 10^9
8230000000
5. 83,000 equals:
8.3 x 10^4
6. .00875 equals:
8.75 x 10^-3
Fractions and Square Roots
1. What is the improper fraction or mixed number represented by the following figure?
www.testprepreview.com/modules/fractionsandsquareroots.htm
2. Which of the following fractions most correctly depicts the shaded area of the circle below?
http://www.testprepreview.com/modules/fractionsandsquareroots.htm
3. Which of the following is not a fraction equivalent to 3/4?
A. 6/8
B. 9/12
C. 12/18
D. 21/28
E. 27/36
12/18
4. Solve: 0.25 + 0.65
9/10
5. Which of the following statements is false?
Ten thousandths place is located 5 places to the right of the decimal
6. Find the square of 25/9
(25/9)² = 625 / 81 and just in case:-√ (25 / 9) = 5 / 3
7. Sarah needs to make a cake and some cookies. The cake requires 3/8 cup of sugar and the cookies require 3/5 cup of sugar. Sarah has 15/16 cups of sugar. Does she have enough sugar, or how much more does she need
Sarah need 3/8+3/5 for both cake & cookies
So she needs 39/40 cups of sugar. That means 78/80 cups
She having 15/16 cups of sugar. That means 75/80 sups
So she need additional 78/80 - 75/80 = 3/80 cups
8. There are 8 ounces in a 1/2 pound. How many ounces are in 7 3/4 lbs?
8 oz = 0.5 lb
x oz = 7.75 lbs
Then you cross multiply
(0.5)(x) =(8)(7.75)
0.5x = 62 ....divide by 0.5,
then you getx = 124 oz
9. If the value of x and y in the following fraction are both tripled, how does the value of the fraction change? XZ/Y http://school.discoveryeducation.com/quizzes32/al3xy/Fractions.html
remains the same
10. Which of the following fractions is the equivalent of 0.5%
Well, what is a percent? A percent is a fraction when the denominator is 100. Percent literally means per hundred.
So, 0.5% means 0.5/100.
Of course, you can't have 0.5 in the numerator.
To get rid of that, the easiest way is to multiply by 2 (since 0.5 = 1/2)
0.5*2/100*2= 1/200
11. Which of these numbers is a factor of 21
A. 2
B. 5
C. 7
D. 42
E. 44
7
12. If the average person drinks 8, (8oz) glasses of water per day, a person who drinks 12.8 oz of water after a morning exercise session has consumed what fraction of the daily average?
The average person drinks 8 X 8 oz. of water or 64 oz. per day. (12.8/64 ) X 100= % of daily average.If the average person consums 8(8 oz) = 64 oz daily. The exerciser drinks 12.8 oz. To find the percent you divide the total daily oz by the exercier's consumed total 12.8/64=.2 which equals 20%.
13. You need 4/5 cups of water for a recipe. You accidentally put 1/3 cups into the mixing bowl with the dry ingredients. How much more water in cups do you need to add?
You need to convert 1/3 and 4/5 into ?/15...
1/3 = 5/15
4/5 = 12/15
so you need to add .... 12-5 = 7/15 cups !!!
Bit tricky to measure 7/15 cups, but its pretty much half a cup
14. ¾ - ½ =
3/4 - 2/4=1/4
15. 7 1/2 - 5 3/8 =
60/8 - 43/8 = 17/8=2 1/8
Geometry - www.testprepreview.com/modules/geometry.htm
Basic Grammar - www.testprepreview.com/modules/grammarpart1.htm
Intermediate Grammar - www.testprepreview.com/modules/englishgrammarpart_2.htm
Advanced Grammar - www.testprepreview.com/modules/grammarpart3.htm
Graphs - www.testprepreview.com/modules/graphs.htm
1. In the following figure, what is the area of the shaded circle inside of the square?
The diameter of the circle = 4 cm
so the radius = 2 cm
Area of the shaded circle = (pi)r^2
A shade circle = 3.14(2^2)A = 3.14*4 = 12.56
2. In the figure below, determine the area of the shaded region of the figure.
The diameter of the circle = 7 cm
so the radius = 3.5 cm
Area of the shaded region = Area of square - Area of circle
A shade = LW - (pi)r^2
A = 7^2 - 3.14(3.5^2) = 10.52
.
.
7. If XYZ Auto Company sold 23,000 vehicles in 1999, how many were SUV's?
Since there were 23000 total vehicles, we know that 13% of these are SUVs. Thus, 13% of 23000 are SUVs, thus there are .13*23000=2990 SUVs
8. If 7,650 trucks were sold in 1999, how many total vehicles were sold in 1999 by XYZ Auto Company?
Say that there are x total vehicles. There are 7650 trucks, thus 17 percent of x is 7650. Therefore, .17x=7650. We find that x=45000, so there are 45000 total vehicles
9. If 3,750 2-door sedans were sold in 1999, then how many 4-door sedans were sold in 1999 by XYZ Auto Company?
Say that there are x total vehicles. Thus, we have that 25% of x is 3750, so .25x=3750. We find that x=15000. Now, 33% of the total vehicles are 4-Door Sedans. Thus, 33% of 15000 is the number of 4-Door Sedans. Thus, we have that there are .33(15000)=4950 4-Door Sedans.
10. How much did the infant gain in the first month of life?
may-kid weighs 9lbs 4oz
april -kid weighs 8lbs 8oz
subtract,but when you borrow you are borrowing 16oz. add to 4 oz = 20 oz
20 - 8 = 12 oz
Basic Math
1. An instrument store gives a 10% discount to all students off the original cost of an instrument. During a back to school sale an additional 15% is taken off the discounted price. Julie, a student at the local high school, purchases a flute for $306. How much did it originally cost?
Let x = original cost
Let .90x = the amount the student pays (100%-10% = 90%)
Let .85(.90x) = the sales price (100%-15%=85%)
If the sales price = 306, then
.85(.90x)=306
.765x=306
x=$400
So the original cost was $400
This makes sense because $40 was taken off for the student discount, bringing the sales price to $360 and an additional 15% of 360 = $54, so $360-$54 = $306
2. If y(x-1)=z then x= www.algebra.com/?
yx-y=z
yx=z+y
x=(z+y)/y
3. Which of the following values is NOT equal to 34(58+9)?
A. 34 x 67
B. 58(34+9)
C. 34 x 58 + 34 x 9
D. 1,972 + 306
E. (9 + 58) 34
Try calculating each of these yourself: First, 34(58 + 9) = 34(67) = 2278
A. 34 x 67 = 2278
B. 58(34 + 9) = 58(43) = 2494
C. 34 x 58 + 34 x 9 = 34 x (58 + 9) = 34 * 67 = 2278
D. 1,972 + 306 = 307,972
E. (67)34 = 2278
So the answer is B and D are not equal to 34(58 + 9).
4. Two angles of a triangle measure 15° and 85 °. What is the measure for the third angle?
The sum of the measures of the angles in any triangle in the plane is 180 degrees. If two angles are 15 and 85 then their sum is 100 degrees and 180-100=80 degrees
5. If 5 ounces is equal to 140 grams, then 2 pounds of ground meat is equal to how many grams?
32 ounces (since 1 Pound = 16 ounces).
5 oz ---> 140 gr
32 oz ---> x gr
5x = 140*32
x=(32*140)/5 = 896
.
.
12. How many cubed pieces of fudge that are 3 inches on an edge can be packed into a Christmas tin that is 9 inches deep by 12 inches wide by 8 inches high with the lid still being able to be closed?
Given these dimensions, 24 cubed pieces of fudge will fit into this pan, and still allow the lid to be closed.They will be in two layers of 12 (in 3 by 4 rows). (drawing is needed)
13. Sarah is twice as old as her youngest brother. If the difference between their ages is 15 years. How old is her youngest brother?
Let age of brother = x
Age of Sarah = 2x
According to given condition
2x - x = 15
x = 15 So, her younger brother is 15 years old.
14. Which of the following fractions is equal to 5/6?
A. 20/30
B. 15/24
C. 25/30
D. 40/54
E. 2/7
25/30
15. What will it cost to tile a kitchen floor that is 12 feet wide by 20 feet long if the tile cost $8.91 per square yard?
Kitchen is 12 x 20 which is 240 sq ft.
9sq ft = 1sq yd
240sq ft/9sq ft = 26.6667 sq yds
26.6667 sq yds x $8.91 per sq yd = $237.60
16. In a writing competition, the first place winner receives ½ of the prize money. The second runner up receives ¼ of what the winner won. What was the total amount of prize money distributed if the winner receives $6,000
Winner recieves 1/2 of the prize money and he received 6,000 $. So total prize money= 12,00$
17. You are lying 120 ft away from a tree that is 50 feet tall. You look up at the top of the tree. Approximately how far is your hear from the top of the tree in a straight line?
x = sq root(120^2 + 50^2) = 130
18. A cyclist bikes x distance at 10 miles per hour and returns over the same path at 8 miles per hour. What is the cyclist's average rate for the round trip in miles per hour?
total distance = 2x
Time on the way there is (x miles)/(10 miles/hour)= x/10 hours
Time on the way back is (x miles)/(8 miles/hour)= x/8 hours
Total time=(x/10)+(x/8)=(9x/40) hours
Average rate=(total distance)/(total time)
x is a dummy variable and will cancel out
Average rate=(2x)miles/(9x/40)hour= 80/9 mph=8.9 mph D
19. If edging cost $2.32 per 12-inch stone, and you want a double layer of edging around your flower bed that is 6 yards by 1 yard. How much will edging you flower bed cost?
19. If edging cost $2.32 per 12-inch stone, and you want a double layer of edging around your flower bed that is 6 yards by 1 yard. How much will edging you flower bed cost?
convert the flower bed from yardage to feet by multiplying by 3 (3 feet in a yard)
Length = 6*3 or 18 feet
Width = 1*3 or 3 feet
then use the formula:
Perimeter = 2*length + 2*width
Perimeter = 2(18)+2(3)
perimeter = 36+6
Perimeter = 42 feet
But you want a double layer of edging, so you will need:
2*42 feet of edging84 feet of edging.
If edging costs 2.32 per foot (12"stone = 1 foot)
84 feet*$2.32=$194.88 total
20. If 3x=6x-15 then x + 8=
3X=6X-15
3X-6X=-15
-3X=-15
X=-15/-3
X=5 ANSWER.
5+8=13 ANSWER.
21. The number of milliliters in 1 liter is
1,000
22. The cost to ride on a ferry is $5.00 per vehicle and driver with an additional cost of 50 cents per passenger. If the charge to get on the ferry is $6.50, how many people were in the vehicle?
6.50 - 5 = 1.50/50 = 3 + driver = 4.
23. What is 1/9 of 9?
(1/9) * 9 = 0.11 * 9 = 0.99 = 1
24. In his pocket, a boy has 3 red marbles, 4 blue marbles, and 4 green marbles. How many will he have to take out of his pocket to ensure that he has taken out at least one of each color?
I'd say 9. Even if he gets all the green ones and all the blue ones before he gets a single red one, at 8 he will run out of greens and blues. The next one has to be red
25. Which fraction is equal to 0.20%
0.20% = 0.0020 = 20/10,000 = 1/500
26. Find the missing term in the following sequence: 4, 9, 19, __, 79
39
(double the previous number and add 1)
27. How much money did Jessica's budget allow for housing in April of 2001?
25% of 2490 = 622.5
28. What was the average amount of money that Jessica's budget allowed for clothing the first six months of 2001
(2 578 + 2 432 + 2 668 + 2 490 + 2 622 + 2 555) / 6 = 2 557.5
10% of 2 557.5 = 255.75
29. If Jessica only spent 20% instead of the 25% allotment for food in May of 2001, how much did she save?
20% of 2622 = 524.4
25% of 2622 = 655.5
655.5-524.4 = 131.10
30. Jonathan can type a 20 page document in 40 minutes, Susan can type it in 30 minutes, and Jack can type it in 24 minutes. Working together, how much time will it take them to type the same document?
Jon types at 1/2 pages per minute, Susan at 2/3 pages per minute and Jack in 5/6 pages per minute.
Each minute the three of them can complete 3/6 + 4/6 + 5/6 of a page = 2 pages.
That's ten minutes to complete 20 pages.
31. Of the following fractions, which is less than 2/3?
A. 7/8
B. 5/6
C. 3/4
D. 3/5
E. 5/7
Multiply numerator of first fraction and denominator of second fraction.
Multiply denominator of first fraction and numerator of second fraction.
If first product is larger, first fraction is larger.
If second product is larger, second fraction is larger
2/3 and 7/8
2 X 8 = 16
3 X 7 = 21
16 < 6 =" 12" 5 =" 15" 4 =" 8" 3 =" 9" 5 =" 10" 3 =" 9"> 9
3/5 is less than 2/3
2/3 and 5/7
2 x 7 = 14
3 x 5 = 15
14 < 3000 =" 360" 90 =" 450" perimeter =" width" feet =" width" feet =" width" feet =" width" feet =" width;" 15000=" 2250;" 2250 =" 17250;" 000 =" 0.0015" 750 =" 0.0026;" 000 =" 0.0017;" 462 =" 0.0014;" 500 =" 0.002;" 4 =" ="" 5x =" -8," 1 =" 8x" x =" -1;" 1 =" 0;" 120 =" 60;" href="http://www.testprepreview.com/modules/mathematics2.htm">Intermediate Math - www.testprepreview.com/modules/mathematics2.htm
1. Two angles of a triangle each measure 70°. What is the measure of the third angle in degrees?
180 - (70 + 70) = 40;
2. If Jack needs 2 ½ pints of cream to make a dessert. How many pints will he need to make 3 desserts?
1 dessert = 2.5 pints; 3 desserts = (3 x 2.5) = 7.5 pints;
3. A discount store takes 50% off of the retail price of a desk. For the store's holiday sale, it takes an additional 20% off of all furniture. The desk's retail price was $320. How much is the desk on sale for during the holiday sale?
Desk's Retail Price - Discount= Discount Price;
320 - 0.5*320 = DP;
320 - 160 = DP;
$160=DP
For holiday Sale:
Discount Price-Holiday discount= Holiday Sale;
160 - o.20 * 160 = HS;
160 - 32 = HS;
$128=HS, Price during Holidays;
4. Which vacation destination is most common for the students? (Look at the Chart)
Beach.
5. If 500 students attend Washington Middle School, how many are going to the mountains for vacation? (Look at the Chart)
12% of 500 = 60;
6. If a ¼ of a teaspoon is 1 ml, then how many milliliters are in 6 teaspoons?
1 teaspon = 4 ml;
6 teaspons = 24 ml;
7. Which of the following is the correct graph for x≥3 or x≤ -2? ( Look at the Chart)
Line D.
8. A scale on a map states that every ¼ of an inch represents 20 miles. If two cities are 3 ½ inches apart, how many miles are actually between the two cities?
1 inch = 80 miles;
3 1/2 inches = 3 * 80 + (1/2 * 80) = 280;
9. Michelle wants to expand her flowerbed by increasing the length and width each by 2 ft. What will the new area of the flowerbed be, if L and W represent the original dimensions of the flowerbed's length and width?
(L+2) (W+2) ;
10. Melinda's lights went out. She has 3 pairs of red socks in her drawer, 2 pairs of black socks, and 5 pairs of white socks. What is the minimum number of pairs she must remove from the drawer to ensure that she has a pair of each color?
9; If 7 - she will run out of black and white socks; If 8 - she will run out of red and white socks;
11. Which of the following fractions are correctly placed from the least in value to the greatest in value?
A. 1/4, 17/25, 3/4, 11/16
B. 17/25, 1/4, 11/16, 3/4
C. 1/4, 17/25, 11/16, 3/4
D. 1/4, 17/25, 3/4, 11/16
E. 3/4, 17/25, 11/16, 1/4
A. 1 / 4 = 0.25; 17 / 25 = 0.68; 3/4 = 0.75; 11 / 16 = 0.6875;
B . 17 / 25 = 0.68; 1/4 = 0.25; 11/16 = 0.6875; 3/4 = 0.75;
C. 1/4 = 0.25; 17/25 = 0.68; 11/16 = 0.6875; 3/4 = 0.75; is the answer;
D. 0.25; 0.68; 0.75; 0.6875;
E. 0.75; 0.68; 0.6875; 0.25;
12. What is the mathematical average of the number of days in a typical year, the number of days in a week, and the number of hours in a day?
(365 + 7 + 24)/3 = 132;
13. 1.75 x 10^5=
1.75 * 100000 = 175000;
14. The electric company charges 3 cents per kilowatt-hour. George used 2800 kilowatt-hours in April, 3200 kilowatt-hours in May, and 3600 kilowatt-hours in June. What was his average cost of electricity for the 3 months
(2800 * 3 + 3200 * 3 + 3600 * 3) /3 = 9600 cents = $96;
15. On a map, 1/3 inch equals 15 miles. The distance between two towns on a map is 3 2/3 inches. How many miles are actually between the two towns?
1 inch = 15 * 3 = 45; 3 * 45 + 2/3 * 45 = 135 + 30 = 165;
16. James invested $4,000 at 5% interest per year; how long will it take him to earn $200 in simple interest?
4,000 * 0.05 = $200 per yar;
17. John pays $650 in property tax. What is the assessed value of his property if property taxes are 1.2% of assessed value?
1.2% *x = 650;
0.012 * x = 650; x = 650/0.012 = 54 166.67;
18. A lamp is marked with a sale price of $23.80, which is 15% off of the regular price. What is the regular price?
0.85 = 23.80;
1 = x; now, just cross multiply:
x = (23.80 * 1)/0.85 = 28;
19. A mattress store sells their stock for 15% off of retail. If someone pays cash, they take an additional 10% off of the discounted price. If a mattress's retail price is $750, what is the price after the store discount and the cash discount?
15% of 750 = 112.5; 750 - 112.5 = $637.5 after the store discount;637.5 - 63.75 = 573.75;
20. 85% of what number is 136?
A. 160
B. 170
C. 180
D. 190
E. 220
0.85 * x = 136; x = 136/0.85 = 160;
21. A building that is 150 ft tall casts a shadow of 20 feet long. At the same time a tree casts a shadow of 2 ft. How tall is the tree?
shadow is 20/150ths of the length of the building;
A 150 foot building casts a 20 foot shadow. This means that the sun angle causes the shadow to be 20/150 the length of the object casting it.The tree's shadow is 2 feet tall. Multiply 2 feet by 150/20 (inverting the fraction because we're going the other way) and we get 15 feet;
22. Which of the following is a true statement?
A. The product of two negative numbers is negative.
B. The product of one negative and one positive number is positive.
C. When dividing a positive number by a negative number, the results are negative.
D. When dividing a negative number by a positive number, the results are positive.
E. When dividing a negative number by a negative number the results are negative.
C.
23. What is the fractional equivalent of 12.5%?
12.5% = 0.125; (125/1000) = 1/8;
24. Change 4 3/5 to an improper fraction.
4 3/5 = 23/5;
25. The fine for a driver riding in the carpool lane without any passengers is $133. A driver is issued a bench warrant for $2,294.25, which includes a 15% fee for late charges and court costs. How many tickets has the driver not paid?
The $2294.25 that the driver is charged for fines also includes the 15% late charge. So, in order to find out how much the driver was actually charged for ticket fines, we can do the following: x=Amount driver was charged for ticket fines;
1.15x=2294.25;
x=1995;
1995/133= The total amount of tickets received= 15;
Another Solution: (how do you get the 1.15);
Divide $2294.25 by 1.15 to get the total charges without the late fee. Then divide by $133 to get the number of tickets.
2294.25/1.15=1995;
1995/133=15the 1.15 is just an easier way to calculate pre late fee amount with the percentage. if you divided $2294.25 by .15 (the 15% in decimal form) you would have to do another calculation to get the $1995. It works the other way too: If you had $1995 and wanted to know how much it was with the late fee you could multiply $1995 *.15 (=299.25) and then add $1995 + $299.25 (=2294.25) or multiply $1995 by 1.15 (=2294.25) which preforms the multiplication and addition in one step
26. Brett started a race at 6:30 A.M., and he did not cross the finish line until 1:05 P.M. How long did it take for Brett to finish the race?
6 hours and 35 minutes ;
27. What is the fraction equivalent of the shaded region in the following circle?
2/3; (Look at the Chart);
28. Multiply 2.345 x 0.023
2.34500 x 0.023 = 0.053935;
29. A men's basketball team won 24 games and lost 32. What is the ratio of games lost to the number of games played?
32/56 = 4/7;
30. Which of the following choices is equivalent to 5/6
A. 5/12
B. 10/6
C. 20/30
D. 15/24
E. 15/18
E. 15/18 = (5/6) *3;
31. Jill earns $120 for 8 hours of work. At the same pay rate, how much will she earn for 15 hours of work?
120 8
x 15
x = (120 * 15) / 8 = 225;
32. Which two years were the least number of tires sold?
B. 1998 and 2000 (Look at the Chart);
33. Which year did the store sell 1/3 more tires than the year before?
1999; (Look at the Chart);
34. What was the average number of tires sold by the store from 1998 to 2001?
9,375;
35. A salesman sold 20 cars in the month of July, and 40 cars the month of August. What is the percent increase in the number of cars the salesman sold?
100%;
36. If one side of a square is 5 units, what is the area of the square?
25;
37. If 8x + 5 = 21, then 3 x + 4 =
8x + 5 = 21; x = (21 - 5)/8 = 2; 3*2 + 4 = 10;
38. In triangle ABC, AB=BC and (C's measure is 65°.) What is the measure of angle B?
The geometry concept being test here is:
"If a triangle has two sides that are equal, the two angles opposite those sides are also equal."
If AB = BC, then the angles opposite those two sides are equal, namely angle C and angle A.
Since angle C is 65 degrees, angle A is also 65 degrees.
Angle B is then 180 - 65 - 65 = 50;
39. If the average arithmetic mean of 8, 12, 15, 21, x and 11 is 17 then what is x?
(8 + 12 + 15 + 21 + x + 11)/ 6 = 17;
8 + 12 + 15 + 21 + x + 11 = 102;
x = 102 - (8 + 12 + 15 + 21 + 11);
x = 102 - 67;
x = 35;
40. Sarah has a 20 dollar bill and a 5 dollar bill. If she purchases two items, one for $11.23 and the other for $8.32, then how much money does she have left over?
(20 + 5) - (11.23 + 8.32) = 25 - 19.55 = 5.45;
Advanced Math - www.testprepreview.com/modules/mathematics3.htm
1. How long will Lucy have to wait before for her $2,500 invested at 6% earns $600 in simple interest?
the simple interest equation is i=prt I is interest is principal or original amount and r is rate in a decimal. substitute it in ---> 600 = 2500*0.06*t ---> 600 = 150t ---> 4=T ---> so 4 months/years..however long it takes to get the 6% probably annually so 4 years;
2. Grace has 16 jellybeans in her pocket. She has 8 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?
It's a trick question. If grace wants one of each color, she will want 3 jelly beans. So, if she takes out 16-3=13 jelly beans, she will have in her bag, 3 jelly beans;
3. If r = 5 z then 15 z = 3 y, then r =
15 * r/5 = 3y; 3r = 3y; r = 3y/3 = y;
4. What is 35% of a number if 12 is 15% of a number?
15% of X = 12 therefore X = 80 so 35% of X = 28;
Another Solution:
To solve this, we need to first calculate what the unknown number is. We know that 12 is equivalent to 15 % of the number. Let the unknown number = X
This means that 12 is to X as 15 is to 100
12/x = 15/100
X = (12 × 100)/15
X = 80
So the number is 80. Now we need to find the 35 % of that number. This will be done is follows: 35 . × 80 = 28;
5. A computer is on sale for $1600, which is a 20% discount off the regular price. What is the regular price?
1600/x = 80/100, because you know 1600 is 80% of the total (x);
Cross-multiply: 160000 / 80x;
Divide 16000 by 80 = 2000 which is x;
6. A car dealer sells a SUV for $39,000, which represents a 25% profit over the cost. What was the cost of the SUV to the dealer
Price of SUV = $39,000;
Cost of SUV:
[25 (C)]/100 + C = 39,000;
(25C + 100C)/100 = 39,000;
125C = 39,000(100);
125C = 39, 00, 000;
C = 39,00,000/125;
C = $31200;
7. After having to pay increased income taxes this year, Edmond has to sell his BMW. Edmond bought the car for $49,000, but he sold it for a 20% loss. What did Edmond sell the car for?
10% 0f 49000 = 4900;
20% 0f 49000 = 9800;
49000 - 9800 = 39200;
8. If Sam can do a job in 4 days that Lisa can do in 6 days and Tom can do in 2 days, how long would the job take if Sam, Lisa, and Tom worked together to complete it?
x(1/4 + 1/2 + 1/6) = 1; Lowest common denominator (LCD = 12);
11x = 12;
x = 12/11 = 1 1/12 = 1.09 days;
9. Find 0.12 ÷12;
0.12 ÷ 12 = 12/1200 = 0.01;
10. Divide x^5 by x^2;
x^5 - X^2 = x^(5-2) = x^3;
11. Which of the following numbers could be described in the following way: an integer that is a natural, rational and whole number?
1;
12. Find the mode of the following list of numbers: 2, 4, 6, 4, 8, 2, 9, 4, 3, 8
Mode which is the most frequently occurring number in a group of numbers. So that,in this list of numbers, the mode is 4;
13. In the fraction 3/x, x may not be substituted by which of the following sets?
A. {1, 2, 4}
B. {-2,-3,-4}
C. {1, 3, 7}
D. {0, 10, 20}
E. {1.8, 4.3}
D. {0, 10, 20}----------Ideas: When x = 0; 3/x is undefined;
14. Sarah needs to make a cake and some cookies. The cake requires 3/8 cup of sugar and the cookies require 3/5 cup of sugar. Sarah has 15/16 cups of sugar. Does she have enough sugar, or how much more does she need?
She needs 3/8 + 3/5 = 39/40 cups of sugar.
She has 15/16th cup of sugar.
as 39/40>15/16
she requires: 39/40 - 15/16 cups o sugar = 0.0375 ~ 3/80 of a cup of sugar;
15. At a company fish fry, 1/2 in attendance are employees. Employees' spouses are 1/3 of the attendance. What is the percentage of the people in attendance who are not employees or employee spouses?
One half of X are employees.One third of X are employee's spouses.
We add one half PLUS one third:
1/2 + 1/3 = 3/6 + 2/6 = 5/6
Then we subtract that fraction from one whole, or 1,to see what fraction is left. That is, we say
1 minus 5/6 which is 1 - 5/6
Now write 1 as 6/6
6/6 - 5/6
We get 1/6
So 1/6 is left. Now we need to make that intoa percent by multiplying it by 100 and tacking on a "%"
1/6 × 100
1/6 × 100/1
50/3
16 2/3 %
So 16 2/3 % of the people in attendance are neither employees nor employee's spouses. Now let's check:
1/2 are employees. That's 50%
1/3 are employee's spouses. That's 33 1/3%;
15 2/3 % are neither employees nor employee's spouses;
Add them up:
50 %
33 1/3 %
16 2/3 %
--------
99 3/3 %
And 99 3/3% = 100;
16. In a college, some courses contribute more towards an overall GPA than other courses. For example, a science class is worth 4 points; mathematics is worth 3 points; History is worth 2 points; and English is worth 3 points. The values of the grade letters are as follows, A= 4, B=3, C=2, D=1, F=0. What is the GPA of a student who made a “C” in Trigonometry, a “B” in American History, an “A” in Botany, and a “B” in Microbiology?
Trignometry "C" = 2 (category Mathematics worth 3 points)
American History "B" = 3 (category History worth 2 points)
Botany "A" = 4 (category Science worth 4 points)
Microbiology "B" = 3 (category Science worth 4 points)
1) Multiple grades with category points and add them all as shown below:
2*3+3*2+4*4+3*4 = 6+6+16+12 = 40
2) Add all the category points as shown below:
3+2+4+4 = 13
Now to get the GPA, divide the answer from step 1 with answer from step 2 as shown:
GPA = 40/13 = 3.08;
17. There are 8 ounces in a ½ pound. How many ounces are in 7 3/4 lbs
8 oz = 1/2 a pound
16 oz = 1 pound
to calculate how many ounces there are in 7 3/4 pounds:
16 oz x 7 = 112 oz
3/4 of 16oz = 12 oz
112 oz + 12 oz = 124 ounces;
18. If the value of x and y in the fraction XZ/Y are both tripled, how does the value of the fraction change?
(3X)Z / (3Y)
Cancel the 3s to get:
XZ/Y
which is just what we started with, so the answer is:
E. remains the same;
19. What is the next number in the following pattern? 1, 1/2, 1/4, 1/8, ___
1/16;
20. Of the following units which would be more likely used to measure the amount of water in a bathtub?
liters;
21. If a match box is 0.17 feet long, what is its length in inches the most closely comparable to the following?
There are 12 inches in a foot, so:
.17 feet x 12 = 2.04 inches; (2 3/4 inch lipstick);
22. Which of the following fractions is the equivalent of 0.5%?
Best Answer - Chosen by Voters
to change percent into fraction, take out the percent symbol and divide it by 100.
so: .5% becomes .5/100
Now, move the decimal place to the right in the numerator and the denominator until you have rid the fraction of decimals.
so: .5/100 becomes 5/1000
The number of times you move the decimal place in the numerator is equal to the number of zeros you add in the denominator.
then reduce: 5/1000 = 1/200(divide both numerator and denominator by common factor 5);
23. In the graph below, no axes or origin is shown. If point B's coordinates are (10,3), which of the following coordinates would most likely be A's?
(6, 8) ;
24. Over the course of a week, Fred spent $28.49 on lunch. What was the average cost per day?
$28.49/7=$4.07;
25. Of the following units, which would be most likely to measure the amount of sugar needed in a recipe for 2 dozen cookies?
cups;
26. Jim has 5 pieces of string. He needs to choose the piece that will be able to go around his 36-inch waist. His belt broke, and his pants are falling down. The piece needs to be at least 4 inches longer than his waist so he can tie a knot in it, but it cannot be more that 6 inches longer so that the ends will not show from under his shirt. Which of the following pieces of string will work the best?
36" = 3 x 12 = 3 feet
4" = 4/12 foot = 1/3 foot
6" = 6/12 foot = 1/2 foot
Want something between:
36" + 4" = 3 1/3 feet
36" + 6" = 3 1/2 feet
3 4/5 > 3 ½
3 2/3 > 3 ½
3 3/8 < -------- bingo
3 1/4 < 3 1/3
2 1/2 < 3 1/3;
27. After purchasing a flat screen television for $750, John realizes that he got a great deal on it and wishes to sell it for a 15% profit. What should his asking price be for the television?
Buying Price + 15% mark-up = Selling Price;
750 + (750 x 0.15) = 750 + 112.50 = 862.50;
28.If 300 jellybeans cost you x dollars. How many jellybeans can you purchase for 50 cents at the same rate?
Doing this as similar ratios:
300 ... n
----- = ---
..x .....0.50
Cross multiplying you get:
150 = nx
n = 150/x
It depends on x, but you can buy 150/x jellybeans for 0.50.
For example if you could buy 300 jellybeans for 5 dollars, you could buy (150/5) = 30 jellybeans for 0.50.
You can buy 30 jelly beans for $0.50;
29. If 6 is 24% of a number, what is 40% of the same number?
6/24 = x/40
x = (6*40)/24 = 240/24 = 10;
Another Solution:
0.24x = 6; x = 600/24 = 25;
0.4x = N; N = 0.4*25 = 10;
30. Lee worked 22 hours this week and made $132. If she works 15 hours next week at the same pay rate, how much will she make?
Lee earns $132/ 22 = $6 per hour
for 15 hours = $6 * 15 = $90;
31. The last week of a month a car dealership sold 12 cars. A new sales promotion came out the first week of the next month and the sold 19 cars that week. What was the percent increase in sales from the last week of the previous month compared to the first week of the next month?
7 more cars sold. So 7/12= 58.3% increase
32. If 8x + 5x + 2x + 4x = 114, the 5x + 3 =
x(8+5+2+4) = 114; x = 114/19 = 6;
5*6 + 3 =33;
33. If two planes leave the same airport at 1:00 PM, how many miles apart will they be at 3:00 PM if one travels directly north at 150 mph and the other travels directly west at 200 mph?
Plane A travels 2 hours @ 150 MPH which is 300 miles.
Plane B travels 2 hours @ 200 MPH which is 400 miles.
Since they're travelling at 90° with respect to each other, the difference separating them is:
Sqrt(300^2+400^2) or 500 miles;
34. What is the cost in dollars to steam clean a room W yards wide and L yards long it the steam cleaners charge 10 cents per square foot?
1 Yard = 3 Feet
L yards = 3L feet
W yards = 3W feet
Area = 3L*3W = 9LW
The cost was 0.1 * 9LW = 0.9*LW
35. Find 8.23 x 10^9
8230000000
37. Which of the following has the least value?
A. 0.27
B. 1/4
C. 3/8
D. 2/11
E. 11%
E . 11% = 0.11;
38. How many boys attended the 1995 convention? (See the graph)
50% of 716 = 358;
39. Which year did the same number of boys and girls attend the conference?
1995;
40. Which two years did the least number of boys attend the convention?
1995 and 1996 ;
Measurement - www.testprepreview.com/modules/measurement.htm
1. What will it cost to carpet a room with indoor/outdoor carpet if the room is 10 feet wide and 12 feet long? The carpet costs 12.51 per square yard.
Total cost = (10/3) x (12/3) x 12.51 = $166.80;
2. If the perimeter of a rectangular house is 44 yards, and the length is 36 feet, what is the width of the house?
Length = 36 feet = 36(1/3 yard) = 12 yards
Perimeter = 2(Length + Width)
P = 2(L + W)
44 = 2(12 + W)
44 = 24 + 2W
44 - 24 = 2W
20 = 2W
10 = W;
3. What is the volume of the following cylinder? (Look at the Graph)
www.testprepreview.com/modules/measurement.htm
The volume of a cylinder is V=PI*r^2*h
V = PI*(3cm)^2*(8cm)
V = 3.14*72=226.08;
4. What is the volume of a cube whose width is 5 inches?
The volume of a cube is the cube of the edge length. (5 in)^3 = 5^3 in^3 = 125 in^3;
5. Sally has three pieces of material. The first piece is 1 yd. 2 ft. 6 in. long, the second piece is 2 yd. 1 ft. 5 in long, and the third piece is 4 yd. 2ft. 8in long. How much material does Sally have?
1 Yard = 3 ft;
1 ft = 12 in;
If you add up the pieces you'll get:
7 yrd, 5 ft, 19 in ; (19in = 1ft,7in);
7 yrd, 6 ft, 7 in ; (6ft = 2yrd);
9 yrd,7 in;
6. A can's diameter is 3 inches, and its height is 8 inches. What is the volume of the can?
pi *( r squared )* height;
3.14 * (1.5^2) * 8 = 56.52;
7. If the area of a square flowerbed is 16 square feet, then how many feet is the perimeter of the flowerbed?
16 square feet = 4 feet on each side. (4 feet * 4 feet = 16 square feet.)
Then just add up the sides: 4 feet + 4 feet + 4 feet + 4 feet = 16 feet.
It's just a coincidence that both answers are 16;
if the area of the flowerbed was 9 square feet, the perimeter would be 12 feet;
8. Of the following units which would be more likely used to measure the amount of water in a bathtub?
liters;
9. If a match box is 0.17 feet long, what is its length in inches the most closely comparable to the following?
There are 12 inches in a foot, so:
.17 feet x 12 = 2.04 inches (2 3/16 inch staple remover)
10. What is the cost in dollars to steam clean a room W yards wide and L yards long it the steam cleaners charge 10 cents per square foot?
Multiply W times L to get total square yards. Then divide by 12 to get total square feet, then multiply by 10 to get total cost:
W*L ---> yds^2;
WL/12 ---> ft^2;
WL/12 * 10 = 0.83WL ~ 0.9WL;
11. Once inch equals 2.54 cm, How many centimeters tall is a 76- inch man?
76 * 2.54 = 193.04 sm;
12. A room measures 11 ft x 12 ft x 9 ft. What is the volume?
11 * 12 * 9 = 1 188;
13. A vitamin's expiration date has passed. It was supposed to contain 500 mg of Calcium, but it has lost 325 mg of Calcium. How many mg of Calcium are left?
500 - 325 = 175 mg;
14. You have orders to give a patient 20 mg of a certain medication. The medication is stored 4 mg per 5-mL dose. How many milliliters will need to be given?
This is cross multiplication;
20mg/x = 4mg/5ml; 4x = 20*5; x = (20*5)/4 = 25ml;
If each teaspoonful (5ml) contains 4mg then 4x=20...... x = 5!
5 teaspoonfuls or 25ml would bring you to your dose;
15. You need exactly a 1680 ft^3 aquarium for your fish. At the pet store you see four choices of aquariums, but the volume is not listed. The length, width, and height are listed on the box. Which of the following aquariums would fit your needs?
A. 12 ft x 12 ft x 12 ft
B. 13 ft x 15 ft x 16 ft
C. 14 ft x 20 ft x 6 ft
D. 15 ft x 16 ft x 12 ft
E. 15 ft x 12 ft x 12 ft
A= 1728
B= 3120
C= 1680; 14 x 20 x 6 = 1680;
16. One slice of bread is 80 calorie. Approximately how many calories are in 2 ½ slices of bread?
2.5 * 80 = 200;
Nouns - www.testprepreview.com/modules/nouns.htm
Percents and Ratios
1. If a discount of 20% off the retail price of a desk saves Mark $45, how much did he pay for the desk?
Algebra..you know that $45 is 20% of the original price, so set an equality...
$45/X = 20/100 where X is the original price;
x= (100*45)/20;
x= 225 - 45 = $180;
2. A customer pays $1,100 in state taxes on a newly purchased car. What is the value of the car if state taxes are 8.9% of the value?
.089X=1100;
X=1100/.089;
X=$12,359.55 PRICE OF THE CAR;
3. How many years does Steven need to invest his $3,000 at 7% to earn $210 in simple interest?
Interest = principle * interest rate * time,
then:
210 = 3000 * 0.07 * time
or:
time = 210/(3000 * 0.07) = 210/210 = 1 year;
4. Sabrina's boss states that she will increase Sabrina's salary from $12,000 to $14,000 per year if she enrolls in business courses at a local community college. What percent increase in salary will result from Sabrina taking the business courses?
Use this formula: increase/original price x 100;
So, 14,000 - 12,000 = 2,000 increase;
So, 2,000/12,000 = .167;
So, .167 x 100 = 16.7%;
5. 35% of what number is 70?
.35 x = 70;
x = 70/.35 = 200;
6. What number is 5% of 2000?
10% = 200;
5% = 100;
7. What percent of 90 is 27?
Divide 27 by 90 to get .3 then u move the decimal 2 places. 27 is 30% of 90;
8. Jim works for $15.50 per hour for a health care facility. He is supposed to get a 75 cent per hour raise at one year of service. What will his percent increase in hourly pay be?
You simply have to find what percent 75 cents is out of $15.50. Make a proportion; remember that percentages are out of a hundred:
0.75/15.5 = x/100 (cross multiply)
75 = 15.5x (divide both sides by 15.5)
4.84 = x;
9. If 45 is 120% of a number, what is 80% of the same number
x times 1.20 = 45
x = 45/1.20
x = 37.5
80% of 37.5 is:
37.5 x .80 = 30 <===your answer;
10. How long will Lucy have to wait before her $2,500 invested at 6% earns $600 in simple interest?
the simple interest equation is
i=prt
I is interest is principal or original amount and
r is rate in a decimal.
substitute it in --->
600 = 2500*0.06*t --->
600 = 150t --->
4=T ---> so 4 months/years..however long it takes to get the 6% probably annually so 4 years
11. What is 35% of a number if 12 is 15% of a number?
15% of X = 12 therefore X = 80 so 35% of X = 28;
12. A computer is on sale for $1600, which is a 20% discount off the regular price. What is the regular price?
1600/x = 80/100, because you know 1600 is 80% of the total (x)
Cross-multiply: 160000 / 80x
Divide 16000 by 80 = 2000 which is x;
13. A car dealer sells a SUV for $39,000, which represents a 25% markup over the dealer's cost. What was the cost of the SUV to the dealer?
Dealer_cost*125% = $39,000
dealer_cost = $39,000/125% = $39,000/1.25 = $31,200;
14. After having to pay increased income taxes this year, Edmond has to sell his BMW. Edmond bought the car for $49,000, but he sold it for a 20% loss. What did Edmond sell the car for?
10% = 4900;
20% = 9800;
49000 - 9800 =$39200;
15. At a company fish fry, ½ in attendance are employees. Employees' spouses are 1/3 of the attendance. What is the percentage of the people in attendance who are not employees or employee spouses?
the percentage of people who are NOT employees or employee spouses, is 1-(1/3+1/2)
1/3+1/2 converting to common denominator, is 2/6+3/6 =5/6. Therefore there is 1/6 people who are not employees or spouses. 1/6 is 16.7%;
16. If 6 is 24% of a number, what is 40% of the same number?
6/24 = x/40;
x=(40*6)/24=10;
17. 25% of 400 =
10% 0f 400=40;
5% of 400=20
25% of 400 =100;
18. 22% of $900 =
10% of 900 = 90;
2% of 900 = 18;
22% of 900 = 198;
19. Which of the following percentages is equal to 0.45?
A. 0.045%
B. 0.45%
C. 4.5%
D. 45%
E. 0.0045%
D. 45%;
20. Which of these percentages equals 1.25?
A. 0.125%
B. 12.5%
C. 125%
D. 1250%
E. 1250.5%
C. 125%
Basic Reading Comprehension - www.testprepreview.com/modules/reading1.htm
Reading for the Main Idea - www.testprepreview.com/modules/readingmainidea.htm
Advanced Reading Comprehension - www.testprepreview.com/modules/readingtest2.htm
Reading Vocabulary - www.testprepreview.com/modules/readingvocabulary.htm
Sentence Correction - www.testprepreview.com/modules/sentencecorrectiont.htm
Sentence Flow - www.testprepreview.com/modules/sentenceflowt.htm
Usage Test 1 - www.testprepreview.com/modules/usagetest.htm
Usage Test 2 - www.testprepreview.com/modules/usagetest2t.htm
Usage Test 3 - www.testprepreview.com/modules/usage_test_3.htm
Verbs - www.testprepreview.com/modules/verbs.htm
Writing Section 1 -www.testprepreview.com/modules/writing1section1.htm
Writing Section 2 - www.testprepreview.com/modules/writing1section2.htm
Self Improvement Directory - www.testprepreview.com/selfimprovementdirectory.htm
1. If Lynn can type a page in p minutes, what piece of the page can she do in 5 minutes?
1 page ------->p min.;
x pages ------>5 min.;
The answer is A. 5/p
Just set up a cross multiplication problem and sub in any number you want for p. When you cross multiply you will realize that number will be on the denominator when you divide. Hence, the answer must have p on the bottom;
2. If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?
(1/4)x+(1/6)x=1;
multiply both sides by 12;
3x+2x=12;
5x=12x=2.4 hours or 2 hours and 24 minutes;
3. Employees of a discount appliance store receive an additional 20% off of the lowest price on an item. If an employee purchases a dishwasher during a 15% off sale, how much will he pay if the dishwasher originally cost $450?
Take off 15% of the original $450 which is $67.50;
Discount= $382.50;
Take off a further 20% of that discounted price of $382.50;
Which is another $76.50;
Discount = $306;
4. The sales price of a car is $12,590, which is 20% off the original price. What is the original price?
Original Price = Sales Price divided by (1 minus discount rate)
Original Price = $12,590 divided by (1 minus 20%)
Original Price = $12,590 divided by 80%;
Original Price = $15,737.50;
Final Answer: $15, 737.50;
Proof: $15,737.50 multiply by 80% equals $12,590;
5. Solve the following equation for A : 2A/3 = 8 + 4A?
Multiply both sides by 3; 2A=24+12Athen ; -24=10Athen A=-2.4;
6. If Leah is 6 years older than Sue, and John is 5 years older than Leah, and the total of their ages is 41. Then how old is Sue?
S=L-6
J=L+5
L+(L-6)+(L+5) = 41
3L-1= 41
3L=42
L=14;
7. Alfred wants to invest $4,000 at 6% simple interest rate for 5 years. How much interest will he receive? Simple Interest = Principle x Rate x YearswherePrinciple = 4000Rate = 6% = 0.06Years = 5Simple Interest = 4,000 x 0.06 x 5= 1200;
8. Jim is able to sell a hand-carved statue for $670 which was a 35% profit over his cost. How much did the statue originally cost him?
Let x be the original amount.To that you add 35% of x --> 0.35xThe new amount is $670Write an equation:
x + (0.35)x = 670
(1 + 0.35)x = 670
1.35x = 670
x = 670/1.35
x ≈ 496.30;
9. The city council has decided to add a 0.3% tax on motel and hotel rooms. If a traveler spends the night in a motel room that costs $55 before taxes, how much will the city receive in taxes from him?
0.3% is .003
$55 X .003 = $.165;
10. A student receives his grade report from a local community college, but the GPA is smudged. He took the following classes:
a 2 hour credit art,
a 3 hour credit history,
a 4 hour credit science course,
a 3 hour credit mathematics course, and
a 1 hour science lab. He received
a “B” in the art class, an “A” in the history class,
a “C” in the science class,
a “B” in the mathematics class, and
an “A” in the science lab.
What was his GPA if the letter grades are based on a 4 point scale?
(A=4, B=3, C=2, D=1, F=0).
You have to add up the total number of hours that each class is worth. If a class is longer, it will be worth more points.
Art: 2 Hrs, B = 2x3= 6
History: 3 Hrs, A = 3x4=12
Science:4 Hrs, C= 4x2= 8
Math: 3 Hrs, B = 3x3= 9
Lab: 1 Hr, A = 1x4= 4
Total Hours= 13,
Total Credits= 39
Credits/Hours=3Final GPA: 3.0;
11. Simon arrived at work at 8:15 A.M. and left work at 10: 30 P.M. If Simon gets paid by the hour at a rate of $10 and time and ½ for any hours worked over 8 in a day. How much did Simon get paid?
8:15-12.00pm is 3 hours 45 mins
1200pm-1030pm is 10 hours 30 mins
He worked 14 hour and 15 mins
He worked 8 normal 8 hours and 6 hours and 15 mins over time.
So he gets piad 10 dollars an hour so $80.00 for 8 hours.
So he gets paid 15 dollars an hour so $93.75 for his 6 1/4 hour overtime.
He gets paid $173.75 total;
12. Grace has 16 jellybeans in her pocket. She has 8 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?
If she take 12 she will run out of red and green jellybeans; Answer: 8+4+1=13;
13. If r = 5 z then 15 z = 3 y, then r = ?
15z = 3y
Divide each side of the equation by three.
5z = y
Since you already know that r = 5z, you can substitute r for 5z. Therefore:r = y;
14. If 300 jellybeans cost you x dollars. How many jellybeans can you purchase for 50 cents at the same rate?
300 jellybeans cost x dollars
300/x jellybeans cost one dollar
(300/x)/2 = 150/x jellybeans costs fifty cents;
15. Lee worked 22 hours this week and made $132. If she works 15 hours next week at the same pay rate, how much will she make;
132 / 22 = $6 per hour.
So multiply 15 x 6 and you get $90;
16. If 8x + 5x + 2x + 4x = 114, the 5x + 3=?
8x+5x+2x+4x =19x = 114
114/19= 6 = x
5(6) +3 = 33;
17. You need to purchase a textbook for nursing school. The book cost $80.00, and the sales tax where you are purchasing the book is 8.25%. You have $100. How much change will you receive back?
Sales Tax will be $6.60:0.0825 x $80.00 = $6.60
Add that to the sale price:80.00 + 6.60 = 86.60
Make the change from $100 bill:$100 - $86.60= $13.40;
18. You purchase a car making a down payment of $3,000 and 6 monthly payments of $225. How much have you paid so far for the car?
$3,000.00 + (6 x $225) is:
$3,000.00 + $1,350.00 =$4,350.00 paid so far;
19. Your supervisor instructs you to purchase 240 pens and 6 staplers for the nurse's station. Pens are purchased in sets of 6 for $2.35 per pack. Staplers are sold in sets of 2 for 12.95. How much will purchasing these products cost?
(240/6)*$2.35 + (6/2)*$12.95 =40*$2.35 + 3*$12.95 =$94 + $38.85 =$132.85;
20. If y = 3, then y^3(y^3-y)= ?
y^3 = 27
27(27-3) =(27)(24)= 648;
Advanced Algebra
1. If the average of three numbers is V. If one of the numbers is Z and another is Y, what is the remaining number?
(x+y+z)/3=v
x+y+z=3v
x=3v-y-z
2. Two cyclists start biking from a trail's start 3 hours apart. The second cyclist travels at 10 miles per hour and starts 3 hours after the first cyclist who is traveling at 6 miles per hour. How much time will pass before the second cyclist catches up with the first from the time the second cyclist started biking?
The first cyclist has a 3 hour head start--and in those three hours, has traveled 3 * 6 = 18 miles.
The question now is: how long will it take for the second cyclist to travel 18 miles more than the first cyclist. The second cyclist will gain 10 - 6 = 4 miles / hour.
so 18 / 4 = 4.5 hours.
the second cyclist will catch up in 4.5 hours after starting.
with equation goodness:
distance = speed * time (where t is time after the second cyclist starts.
18 = 10t - 6t = 4t
18/4 = t = 4.5
3. Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill the pool together?
If Jim can fill a pool in 30 minutes, he fills 1/30 of a pool in 1 minute. Sue fills 1/45 of a pool in 1 minute. Tony fills 1/90 per minute.
1/30 + 1/45 + 1/90 = 3/90 + 2/90 + 1/90 = 6/90 per minute.
Since they do 6/90 of the job in one minute, they do the full ("1") job in 6/90 * 90/6 minutes.
So the full job would take 90/6 = 15 minutes.
4. Mary is reviewing her algebra quiz. She has determined that one of her solutions is incorrect. Which one is it?
E. t - 2t - 3t = 32, t = 8
8-2*8-3*8=8-16-24=-32
5. What simple interest rate will Susan need to secure to make $2,500 in interest on a $10,000 principal over 5 years?
Simple Interest can be solved very easily with an easy formula.
I = PRT
where...
I = Interest earned
P = Principal amount
R = Interest Rate
T = Time
In this case, we want the Interest rate! So rearrange the formula to find R:
I = PRT
R = I/PT
Then just substitute the values in. Easy as that
R = I/PT
R = 2500/(10000*5)
R = 2500/50000
R = 0.05
WHICH IS A INTEREST RATE OF 5%.
6. Which of the following is not a rational number?
A. -4
B. 1/5
C. 0.8333333...
D. 0.45
E. sqrt( 2 )
sqrt(2)
Any number that cannot be written as a fraction is irrational.
7. A study reported that in a random sampling of 100 women over the age of 35 showed that 8 of the women were married 2 or more times. Based on the study results, how many women in a group of 5,000 women over the age of 35 would likely be married 2 or more times?
8/100=x/5000
cross multiply and solve for x.
8. John is traveling to a meeting that is 28 miles away. He needs to be there in 30 minutes. How fast does he need to go to make it to the meeting on time?
x=vt
x= 28 miles
t= 30 min = 0.5 h
so, v= 28/0.5 = 56 miles/hour (minimum).
9. If Steven can mix 20 drinks in 5 minutes, Sue can mix 20 drinks in 10 minutes, and Jack can mix 20 drinks in 15 minutes, how much time will it take all 3 of them working together to mix the 20 drinks?
Steven makes 20/5 = 4 drinks per minute
Sue makes 20/10 = 2 drinks per minute
Jack makes 20/15 = 4/3 drinks per minute
4 + 2 + 4/3 = 7 1/3 drinks per minute
20 / (7 1/3) = 20/ (22/3) = 20 * 3 / 22 = 60/22 = ~2.73 minutes~2.73 minutes or ~2 minutes
43.6 seconds.
10. If Sam can do a job in 4 days that Lisa can do in 6 days and Tom can do in 2 days, how long would the job take if Sam, Lisa, and Tom worked together to complete it?
rate * time = progress. sure, abstract but you get the idea.
sam's rate is 1/4, lisa's is 1/6 and tom's is 1/2. that is, to get a 1 unit of progress done, time must be 2 for tom so that rate is forced to be 1/2.
then the total rate is simply the sum of the 3:
(1/4 + 1/6 + 1/2) * time = progress. again, the job is 1 unit of progress so we simply need to know time. this will be 1 / (1/4 + 1/6 + 1/2).
we can find a common denominator for this expression:
1 / ( 3/12 + 2/12 + 6/12) = 1 / (11/12) = 12/11
now, that has units of days. So, it should take sam, lisa, and tom about 1.09 days to do this job if they work together.
11. Jim has 5 pieces of string. He needs to choose the piece that will be able to go around his 36-inch waist. His belt broke, and his pants are falling down. The piece needs to be at least 4 inches longer than his waist so he can tie a knot in it, but it cannot be more that 6 inches longer so that the ends will not show from under his shirt. Which of the following pieces of string will work the best?
A. 3 feet
B. 3 ¾ feet
C. 3 ½ feet
D. 3 ¼ feet
E. 2 ½ feet
36 inch waist + 4 inches = 40 inches
36 inch + 6 inches = 42 inches
So the string must be between 40 inches and 42 inches
36 inches = 3 feet
so... 40 inches = 3 feet, 4 inches = 3 4/12 = 3 1/3 feet
42 inches = 3 feet, 6 inches = 3 1/2 feet
The only one that is between 3 1/3 and 3 1/2 is: C. 3 1/2 feet.
12. The last week of a month a car dealership sold 12 cars. A new sales promotion came out the first week of the next month and the sold 19 cars that week. What was the percent increase in sales from the last week of the previous month compared to the first week of the next month?
a 58.3% increase
7 more cars sold so,
7/12 = 58.3% increase as a percentage of last weeks sales.
13. If two planes leave the same airport at 1:00 PM, how many miles apart will they be at 3:00 PM if one travels directly north at 150 mph and the other travels directly west at 200 mph?
www.milearn.com/fileup/Math%20Problems_A.pdf
The north bound plane traveled 150x2 = 300 miles (north)
The west bound plane traveled 200x2 - 400 miles (west)
The distance between them is the length of the hypotenuseof the right triangle formed by the their travel. You shouldrecognize it is in the same ratio as a 3-4-5 right triangle, sothe distance will be 500 miles. Or, just use the Pythagorean theorem:
a^2 + b^2 = c^2 ==> 300^2 + 400^2 = c^2 ==> c^2 = 250,000==>c = 500
14. During a 5-day festival, the number of visitors tripled each day. If the festival opened on a Thursday with 345 visitors, what was the attendance on that Sunday?
345*3=1035 (fri)
1035*3=3105 (sat)
3105*3=9315(sunday
Averages and Rounding
1. Round 907.457 to the nearest tens place.
907.457 rounded off to nearest tens place is 910. If it were asked to round off to nearest "tenths" place, it would have been 907.5
2. At a certain high school, the respective weights for the following subjects are: Mathematics 3, English 3, History 2, Science 2 and Art 1. What is a student's average whose marks were the following: Geometry 89, American Literature 92, American History 94, Biology 81, and Sculpture 85?
Since the subjects are weighted, look at it like this:
Math is worth 3x; (89 x 3 = 267)
Lit is worth 3x; (92 x 3 = 276)
History is worth 2x; (94 x 2 = 188)
Science is worth 2x; (81 x 2 = 162)
Art is worth 1x ;(85 x 1 = 85)
So, 11x = 978
x = 88.909; Round to 88.9
3. Ginger over the course of an average work-week wanted to see how much she spent on lunch daily. On Monday and Thursday, she spent $5.43 total. On Tuesday and Wednesday, she spent $3.54 on each day. On Friday, she spent $7.89 on lunch. What was her average daily cost?
Add all them up then divide them by the number of days. So:
5.43 + 3.54 + 3.54 + 7.89 = 20.4
20.4/5 = 4.08
So the average daily cost was $4.08
(A lot of people are getting this wrong, because they think she spent $5.43 on both Monday and Thursday, but actually she spent that on both of those days combined.)
4. What is 1230.932567 rounded to the nearest hundredths place?
www.tutorcentral.net/QuizManager/displayquiz.asp?FormID=145
www.wdeptford.k12.nj.us/.../2.%20%20Averages%20and%20Rounding.pdf
hubpages.com/hub/Wonderlic-Personnel-Test-Questions
jsbursch.net/.../pte/docs/ACC-GED-Math-WordProblems-Simple.doc
1230.93
For hundredths, think of it as money.
5. Subtract the following numbers rounded to the nearest tenths
www.wdeptford.k12.nj.us/.../2.%20%20Averages%20and%20Rounding.pdf
subtraction:
134.679-(-45.548)-(-67.8807)=248.11 (rounded to 10th place)
6. What is the absolute value of -9?
9
7. What is the median of the following list of numbers? 4, 5, 7, 9, 10, 12
(7+9)/2 = 8
The median of a set having an even number of elements is the average of the middle two when they are sorted into order.
8. What is the mathematical average of the number of weeks in a year, seasons in a year, and the number of days in January?
jsbursch.net/.../pte/docs/ACC-GED-Math-WordProblems-Simple.doc
www.testmyhead.com/Assessment/Testing.aspx?TestId=54408f89-fec3-4374-8b50-3de76c43c7f5
jsbursch.net/.../pte/docs/ACC-GED-Math-WordProblems-Simple.doc
www.tutorcentral.net/QuizManager/displayquiz.asp?FormID=145
For simplicity, let's assume that leap years occur every 4 years.
Year X contains 365 days
Year X+1 contains 365 days
Year X+2 contains 365 days
Year X+3 contains 366 days and so forth (the cycle repeats itself)
a) average weeks is given by the weighted average.
probability of non-leap year = p(non-leap)=3/4.
probability of leap year = p(leap)=1/4.
weeks in non-leap year, w(non-leap)= 365/7.
weeks in leap year, w(leap) = 366/7.
Therefore, the weighted average = w(leap)*p(leap)+w(non-leap)*p(non-leap)
b) define "season", question is unclear.
c) always 31 days in january
9. In a college, some courses contribute more towards an overall GPA than other courses. For example, a science class is worth 4 points; mathematics is worth 3 points; history is worth 2 points; and English is worth 3 points. The values of the grade letters are as follows, A= 4, B=3, C=2, D=1, F=0. What is the GPA of a student who made a “C” in Trigonometry, a “B” in American History, an “A” in Botany, and a “B” in Microbiology.
This is a "weighted" average. Multiply your grades by theweights, sum that up, and divide by the sum of the weights:
The C in trig gets you 2 for the C and a weight of 3 since its math
B in history gets you 3 points with a weight of 2
A in botany gets you 4 points with a weight of 4
B in microbiology gets you 3 points with a weight of 4
so sum1 = 2x3 + 3x2 + 4x4 + 3x4 = 40
sum2 = 3 + 2 + 4 + 4 = 13
The GPA is then 40/13 = 3.08
10. Over the course of a week, Fred spent $28.49 on lunch. What was the average cost per day?
http://siliconinvestor.advfn.com/readmsg.aspx?msgid=21455460
www.wdeptford.k12.nj.us/.../2.%20%20Averages%20and%20Rounding.pdf
If the week is just the work week, then 28.49/5 = 5.698 or 5.70 per day.Over the entire week, divide by seven to get 4.07 per day.
11. A roast was cooked at 325° F in the oven for 4 hours. The internal temperature rose from 32° F to 145° F. What was the average rise in temperature per hour
If the internal temp. rose from 32 °F to 145 °F over the course of 4 hours, the average rise =(145-32)/4 °F.
12. In the number 743.25 which digit represents the tenths space?
The tenths is always the number right after the decimal point. Thus, the answer is 2.
The hundredTHS is 5.
In contrast, the tens ( note no -ths suffix) is 3. the hundreds is 4 and the thousands is 7.
You do not have a thousanths digit in the given.
Arithmetic
1. Add 0.98 + 45.102 + 32.3333 + 31 + 0.00009
31.00000
00.98000
45.10200
32.33330
00.00009
=
109.41539
2. Find 0.12 ÷ 1
.12
3. (9 ÷ 3) x (8 ÷ 4) =
6
4. 6 x 0 x 5
0
5. 7.95 ÷ 1.5
79.5/15=5.3
75
____
45
45
____
0
6. -32 + 7 equals:
-25
7. -37 + -47 equals:
-84
8. 41% equals:
.41
Commas
1. For the Thanksgiving reunion, relatives were sitting in the dining room, on the porch, and in the carport.
No error
http://shec.hcs.k12.nc.us/www/SHEC_HCS/site/hosting/Accuplacer/296,7,Slide 7
2. Lydia seems to be a kind, considerate girl.
No error
3. This fishing pole Nathan, has seen better days.
Pole, Nathan,
4. My cousin has moved to 56 Central Street Narragansett, Rhode Island 02882.
Central Street,
5. The badger, a shy animal sometimes makes friends with a coyote.
A shy animal,
6. After the death of Blackbeard, the famous pirate, piracy disappeared from the coast of the American colonies.
No error
7. “Silent Night” was written by two men from the village of Oberndorf Austria.
Oberndorf, Austria
8. On November 19, 1929 Admiral Richard E. Byrd flew the Floyd Bennett to the base of the Queen Maud Mountains.
1929,
9. Oh I forgot to bring the cookies
Oh,
10. “The boy in the kayak,” whispered Sue “is the new football captain."
No error
Estimation and Sequences
1. Describe the following sequence in mathematical terms. 144, 72, 36, 18, 9
Descending arithmetic sequence
2. Which of the following is not a whole number followed by its square?
A. 1, 1
B. 6, 36
C. 8, 64
D. 10, 100
E. 11, 144
11, 144
3. A nurse has to record her temperatures in Celsius but her thermometer reads Fahrenheit. A patient's temperature is 100.7° F. What is the temperature in °C?
5/9 ( 100.7-32)C=38.1666C=38.2 C
4. Art realized that he had 2 more quarters than he had originally thought in his pocket. If all of the change in his pocket is quarters and it totals to $8.75, how many quarters did he originally think were in his pocket?
http://home.earthlink.net/~djbach/lessons.html
(8.75-.50)/.25=X = 33 or second option:
Divide 875 by 25, then subtract two from your answer.
5. There are 12 more apples than oranges in a basket of 36 apples and oranges. How many apples are in the basket?
Let x+12=apples
Let x =oranges
so (x)+(x+12)=36
2x +12=36
2x=24
x=12 which was oranges
and we let x+12=apples; so12+12 = 24 apples
6. Which of the following correctly identifies 4 consecutive odd integers where the sum of the middle two integers is equal to 24?
A. 5, 7, 9, 11
B. 7, 9, 11, 13
C. 9, 11, 13, 15
D. 11, 13, 15, 17
E. 13, 15, 17, 19
C
7. What is the next number in the sequence? 6, 12, 24, 48, ___
96
8. Which of the following numbers could be described in the following way: an integer that is a natural, rational and whole number?
A. 0
B. 1
C. 2.33
D. -3
E. none of the above
B. 1
9. What is the next number in the following pattern? 1, 1/2, 1/4, 1/8, ___
1/16
10. Of the following units, which would be most likely to measure the amount of sugar needed in a recipe for 2 dozen cookies
A. degrees Celsius
B. milliliters
C. quarts
D. kilograms
E. cups
E
Exponents
1. 10^4 is not equal to which of the following?
100,000
2. Multiply 10^4 by 10^2
10^6
3. Divide x^5 by x^2
x^3
4. Find 8.23 x 10^9
8230000000
5. 83,000 equals:
8.3 x 10^4
6. .00875 equals:
8.75 x 10^-3
Fractions and Square Roots
1. What is the improper fraction or mixed number represented by the following figure?
www.testprepreview.com/modules/fractionsandsquareroots.htm
2. Which of the following fractions most correctly depicts the shaded area of the circle below?
http://www.testprepreview.com/modules/fractionsandsquareroots.htm
3. Which of the following is not a fraction equivalent to 3/4?
A. 6/8
B. 9/12
C. 12/18
D. 21/28
E. 27/36
12/18
4. Solve: 0.25 + 0.65
9/10
5. Which of the following statements is false?
Ten thousandths place is located 5 places to the right of the decimal
6. Find the square of 25/9
(25/9)² = 625 / 81 and just in case:-√ (25 / 9) = 5 / 3
7. Sarah needs to make a cake and some cookies. The cake requires 3/8 cup of sugar and the cookies require 3/5 cup of sugar. Sarah has 15/16 cups of sugar. Does she have enough sugar, or how much more does she need
Sarah need 3/8+3/5 for both cake & cookies
So she needs 39/40 cups of sugar. That means 78/80 cups
She having 15/16 cups of sugar. That means 75/80 sups
So she need additional 78/80 - 75/80 = 3/80 cups
8. There are 8 ounces in a 1/2 pound. How many ounces are in 7 3/4 lbs?
8 oz = 0.5 lb
x oz = 7.75 lbs
Then you cross multiply
(0.5)(x) =(8)(7.75)
0.5x = 62 ....divide by 0.5,
then you getx = 124 oz
9. If the value of x and y in the following fraction are both tripled, how does the value of the fraction change? XZ/Y http://school.discoveryeducation.com/quizzes32/al3xy/Fractions.html
remains the same
10. Which of the following fractions is the equivalent of 0.5%
Well, what is a percent? A percent is a fraction when the denominator is 100. Percent literally means per hundred.
So, 0.5% means 0.5/100.
Of course, you can't have 0.5 in the numerator.
To get rid of that, the easiest way is to multiply by 2 (since 0.5 = 1/2)
0.5*2/100*2= 1/200
11. Which of these numbers is a factor of 21
A. 2
B. 5
C. 7
D. 42
E. 44
7
12. If the average person drinks 8, (8oz) glasses of water per day, a person who drinks 12.8 oz of water after a morning exercise session has consumed what fraction of the daily average?
The average person drinks 8 X 8 oz. of water or 64 oz. per day. (12.8/64 ) X 100= % of daily average.If the average person consums 8(8 oz) = 64 oz daily. The exerciser drinks 12.8 oz. To find the percent you divide the total daily oz by the exercier's consumed total 12.8/64=.2 which equals 20%.
13. You need 4/5 cups of water for a recipe. You accidentally put 1/3 cups into the mixing bowl with the dry ingredients. How much more water in cups do you need to add?
You need to convert 1/3 and 4/5 into ?/15...
1/3 = 5/15
4/5 = 12/15
so you need to add .... 12-5 = 7/15 cups !!!
Bit tricky to measure 7/15 cups, but its pretty much half a cup
14. ¾ - ½ =
3/4 - 2/4=1/4
15. 7 1/2 - 5 3/8 =
60/8 - 43/8 = 17/8=2 1/8
Geometry - www.testprepreview.com/modules/geometry.htm
Basic Grammar - www.testprepreview.com/modules/grammarpart1.htm
Intermediate Grammar - www.testprepreview.com/modules/englishgrammarpart_2.htm
Advanced Grammar - www.testprepreview.com/modules/grammarpart3.htm
Graphs - www.testprepreview.com/modules/graphs.htm
1. In the following figure, what is the area of the shaded circle inside of the square?
The diameter of the circle = 4 cm
so the radius = 2 cm
Area of the shaded circle = (pi)r^2
A shade circle = 3.14(2^2)A = 3.14*4 = 12.56
2. In the figure below, determine the area of the shaded region of the figure.
The diameter of the circle = 7 cm
so the radius = 3.5 cm
Area of the shaded region = Area of square - Area of circle
A shade = LW - (pi)r^2
A = 7^2 - 3.14(3.5^2) = 10.52
.
.
7. If XYZ Auto Company sold 23,000 vehicles in 1999, how many were SUV's?
Since there were 23000 total vehicles, we know that 13% of these are SUVs. Thus, 13% of 23000 are SUVs, thus there are .13*23000=2990 SUVs
8. If 7,650 trucks were sold in 1999, how many total vehicles were sold in 1999 by XYZ Auto Company?
Say that there are x total vehicles. There are 7650 trucks, thus 17 percent of x is 7650. Therefore, .17x=7650. We find that x=45000, so there are 45000 total vehicles
9. If 3,750 2-door sedans were sold in 1999, then how many 4-door sedans were sold in 1999 by XYZ Auto Company?
Say that there are x total vehicles. Thus, we have that 25% of x is 3750, so .25x=3750. We find that x=15000. Now, 33% of the total vehicles are 4-Door Sedans. Thus, 33% of 15000 is the number of 4-Door Sedans. Thus, we have that there are .33(15000)=4950 4-Door Sedans.
10. How much did the infant gain in the first month of life?
may-kid weighs 9lbs 4oz
april -kid weighs 8lbs 8oz
subtract,but when you borrow you are borrowing 16oz. add to 4 oz = 20 oz
20 - 8 = 12 oz
Basic Math
1. An instrument store gives a 10% discount to all students off the original cost of an instrument. During a back to school sale an additional 15% is taken off the discounted price. Julie, a student at the local high school, purchases a flute for $306. How much did it originally cost?
Let x = original cost
Let .90x = the amount the student pays (100%-10% = 90%)
Let .85(.90x) = the sales price (100%-15%=85%)
If the sales price = 306, then
.85(.90x)=306
.765x=306
x=$400
So the original cost was $400
This makes sense because $40 was taken off for the student discount, bringing the sales price to $360 and an additional 15% of 360 = $54, so $360-$54 = $306
2. If y(x-1)=z then x= www.algebra.com/?
yx-y=z
yx=z+y
x=(z+y)/y
3. Which of the following values is NOT equal to 34(58+9)?
A. 34 x 67
B. 58(34+9)
C. 34 x 58 + 34 x 9
D. 1,972 + 306
E. (9 + 58) 34
Try calculating each of these yourself: First, 34(58 + 9) = 34(67) = 2278
A. 34 x 67 = 2278
B. 58(34 + 9) = 58(43) = 2494
C. 34 x 58 + 34 x 9 = 34 x (58 + 9) = 34 * 67 = 2278
D. 1,972 + 306 = 307,972
E. (67)34 = 2278
So the answer is B and D are not equal to 34(58 + 9).
4. Two angles of a triangle measure 15° and 85 °. What is the measure for the third angle?
The sum of the measures of the angles in any triangle in the plane is 180 degrees. If two angles are 15 and 85 then their sum is 100 degrees and 180-100=80 degrees
5. If 5 ounces is equal to 140 grams, then 2 pounds of ground meat is equal to how many grams?
32 ounces (since 1 Pound = 16 ounces).
5 oz ---> 140 gr
32 oz ---> x gr
5x = 140*32
x=(32*140)/5 = 896
.
.
12. How many cubed pieces of fudge that are 3 inches on an edge can be packed into a Christmas tin that is 9 inches deep by 12 inches wide by 8 inches high with the lid still being able to be closed?
Given these dimensions, 24 cubed pieces of fudge will fit into this pan, and still allow the lid to be closed.They will be in two layers of 12 (in 3 by 4 rows). (drawing is needed)
13. Sarah is twice as old as her youngest brother. If the difference between their ages is 15 years. How old is her youngest brother?
Let age of brother = x
Age of Sarah = 2x
According to given condition
2x - x = 15
x = 15 So, her younger brother is 15 years old.
14. Which of the following fractions is equal to 5/6?
A. 20/30
B. 15/24
C. 25/30
D. 40/54
E. 2/7
25/30
15. What will it cost to tile a kitchen floor that is 12 feet wide by 20 feet long if the tile cost $8.91 per square yard?
Kitchen is 12 x 20 which is 240 sq ft.
9sq ft = 1sq yd
240sq ft/9sq ft = 26.6667 sq yds
26.6667 sq yds x $8.91 per sq yd = $237.60
16. In a writing competition, the first place winner receives ½ of the prize money. The second runner up receives ¼ of what the winner won. What was the total amount of prize money distributed if the winner receives $6,000
Winner recieves 1/2 of the prize money and he received 6,000 $. So total prize money= 12,00$
17. You are lying 120 ft away from a tree that is 50 feet tall. You look up at the top of the tree. Approximately how far is your hear from the top of the tree in a straight line?
x = sq root(120^2 + 50^2) = 130
18. A cyclist bikes x distance at 10 miles per hour and returns over the same path at 8 miles per hour. What is the cyclist's average rate for the round trip in miles per hour?
total distance = 2x
Time on the way there is (x miles)/(10 miles/hour)= x/10 hours
Time on the way back is (x miles)/(8 miles/hour)= x/8 hours
Total time=(x/10)+(x/8)=(9x/40) hours
Average rate=(total distance)/(total time)
x is a dummy variable and will cancel out
Average rate=(2x)miles/(9x/40)hour= 80/9 mph=8.9 mph D
19. If edging cost $2.32 per 12-inch stone, and you want a double layer of edging around your flower bed that is 6 yards by 1 yard. How much will edging you flower bed cost?
19. If edging cost $2.32 per 12-inch stone, and you want a double layer of edging around your flower bed that is 6 yards by 1 yard. How much will edging you flower bed cost?
convert the flower bed from yardage to feet by multiplying by 3 (3 feet in a yard)
Length = 6*3 or 18 feet
Width = 1*3 or 3 feet
then use the formula:
Perimeter = 2*length + 2*width
Perimeter = 2(18)+2(3)
perimeter = 36+6
Perimeter = 42 feet
But you want a double layer of edging, so you will need:
2*42 feet of edging84 feet of edging.
If edging costs 2.32 per foot (12"stone = 1 foot)
84 feet*$2.32=$194.88 total
20. If 3x=6x-15 then x + 8=
3X=6X-15
3X-6X=-15
-3X=-15
X=-15/-3
X=5 ANSWER.
5+8=13 ANSWER.
21. The number of milliliters in 1 liter is
1,000
22. The cost to ride on a ferry is $5.00 per vehicle and driver with an additional cost of 50 cents per passenger. If the charge to get on the ferry is $6.50, how many people were in the vehicle?
6.50 - 5 = 1.50/50 = 3 + driver = 4.
23. What is 1/9 of 9?
(1/9) * 9 = 0.11 * 9 = 0.99 = 1
24. In his pocket, a boy has 3 red marbles, 4 blue marbles, and 4 green marbles. How many will he have to take out of his pocket to ensure that he has taken out at least one of each color?
I'd say 9. Even if he gets all the green ones and all the blue ones before he gets a single red one, at 8 he will run out of greens and blues. The next one has to be red
25. Which fraction is equal to 0.20%
0.20% = 0.0020 = 20/10,000 = 1/500
26. Find the missing term in the following sequence: 4, 9, 19, __, 79
39
(double the previous number and add 1)
27. How much money did Jessica's budget allow for housing in April of 2001?
25% of 2490 = 622.5
28. What was the average amount of money that Jessica's budget allowed for clothing the first six months of 2001
(2 578 + 2 432 + 2 668 + 2 490 + 2 622 + 2 555) / 6 = 2 557.5
10% of 2 557.5 = 255.75
29. If Jessica only spent 20% instead of the 25% allotment for food in May of 2001, how much did she save?
20% of 2622 = 524.4
25% of 2622 = 655.5
655.5-524.4 = 131.10
30. Jonathan can type a 20 page document in 40 minutes, Susan can type it in 30 minutes, and Jack can type it in 24 minutes. Working together, how much time will it take them to type the same document?
Jon types at 1/2 pages per minute, Susan at 2/3 pages per minute and Jack in 5/6 pages per minute.
Each minute the three of them can complete 3/6 + 4/6 + 5/6 of a page = 2 pages.
That's ten minutes to complete 20 pages.
31. Of the following fractions, which is less than 2/3?
A. 7/8
B. 5/6
C. 3/4
D. 3/5
E. 5/7
Multiply numerator of first fraction and denominator of second fraction.
Multiply denominator of first fraction and numerator of second fraction.
If first product is larger, first fraction is larger.
If second product is larger, second fraction is larger
2/3 and 7/8
2 X 8 = 16
3 X 7 = 21
16 < 6 =" 12" 5 =" 15" 4 =" 8" 3 =" 9" 5 =" 10" 3 =" 9"> 9
3/5 is less than 2/3
2/3 and 5/7
2 x 7 = 14
3 x 5 = 15
14 < 3000 =" 360" 90 =" 450" perimeter =" width" feet =" width" feet =" width" feet =" width" feet =" width;" 15000=" 2250;" 2250 =" 17250;" 000 =" 0.0015" 750 =" 0.0026;" 000 =" 0.0017;" 462 =" 0.0014;" 500 =" 0.002;" 4 =" ="" 5x =" -8," 1 =" 8x" x =" -1;" 1 =" 0;" 120 =" 60;" href="http://www.testprepreview.com/modules/mathematics2.htm">Intermediate Math - www.testprepreview.com/modules/mathematics2.htm
1. Two angles of a triangle each measure 70°. What is the measure of the third angle in degrees?
180 - (70 + 70) = 40;
2. If Jack needs 2 ½ pints of cream to make a dessert. How many pints will he need to make 3 desserts?
1 dessert = 2.5 pints; 3 desserts = (3 x 2.5) = 7.5 pints;
3. A discount store takes 50% off of the retail price of a desk. For the store's holiday sale, it takes an additional 20% off of all furniture. The desk's retail price was $320. How much is the desk on sale for during the holiday sale?
Desk's Retail Price - Discount= Discount Price;
320 - 0.5*320 = DP;
320 - 160 = DP;
$160=DP
For holiday Sale:
Discount Price-Holiday discount= Holiday Sale;
160 - o.20 * 160 = HS;
160 - 32 = HS;
$128=HS, Price during Holidays;
4. Which vacation destination is most common for the students? (Look at the Chart)
Beach.
5. If 500 students attend Washington Middle School, how many are going to the mountains for vacation? (Look at the Chart)
12% of 500 = 60;
6. If a ¼ of a teaspoon is 1 ml, then how many milliliters are in 6 teaspoons?
1 teaspon = 4 ml;
6 teaspons = 24 ml;
7. Which of the following is the correct graph for x≥3 or x≤ -2? ( Look at the Chart)
Line D.
8. A scale on a map states that every ¼ of an inch represents 20 miles. If two cities are 3 ½ inches apart, how many miles are actually between the two cities?
1 inch = 80 miles;
3 1/2 inches = 3 * 80 + (1/2 * 80) = 280;
9. Michelle wants to expand her flowerbed by increasing the length and width each by 2 ft. What will the new area of the flowerbed be, if L and W represent the original dimensions of the flowerbed's length and width?
(L+2) (W+2) ;
10. Melinda's lights went out. She has 3 pairs of red socks in her drawer, 2 pairs of black socks, and 5 pairs of white socks. What is the minimum number of pairs she must remove from the drawer to ensure that she has a pair of each color?
9; If 7 - she will run out of black and white socks; If 8 - she will run out of red and white socks;
11. Which of the following fractions are correctly placed from the least in value to the greatest in value?
A. 1/4, 17/25, 3/4, 11/16
B. 17/25, 1/4, 11/16, 3/4
C. 1/4, 17/25, 11/16, 3/4
D. 1/4, 17/25, 3/4, 11/16
E. 3/4, 17/25, 11/16, 1/4
A. 1 / 4 = 0.25; 17 / 25 = 0.68; 3/4 = 0.75; 11 / 16 = 0.6875;
B . 17 / 25 = 0.68; 1/4 = 0.25; 11/16 = 0.6875; 3/4 = 0.75;
C. 1/4 = 0.25; 17/25 = 0.68; 11/16 = 0.6875; 3/4 = 0.75; is the answer;
D. 0.25; 0.68; 0.75; 0.6875;
E. 0.75; 0.68; 0.6875; 0.25;
12. What is the mathematical average of the number of days in a typical year, the number of days in a week, and the number of hours in a day?
(365 + 7 + 24)/3 = 132;
13. 1.75 x 10^5=
1.75 * 100000 = 175000;
14. The electric company charges 3 cents per kilowatt-hour. George used 2800 kilowatt-hours in April, 3200 kilowatt-hours in May, and 3600 kilowatt-hours in June. What was his average cost of electricity for the 3 months
(2800 * 3 + 3200 * 3 + 3600 * 3) /3 = 9600 cents = $96;
15. On a map, 1/3 inch equals 15 miles. The distance between two towns on a map is 3 2/3 inches. How many miles are actually between the two towns?
1 inch = 15 * 3 = 45; 3 * 45 + 2/3 * 45 = 135 + 30 = 165;
16. James invested $4,000 at 5% interest per year; how long will it take him to earn $200 in simple interest?
4,000 * 0.05 = $200 per yar;
17. John pays $650 in property tax. What is the assessed value of his property if property taxes are 1.2% of assessed value?
1.2% *x = 650;
0.012 * x = 650; x = 650/0.012 = 54 166.67;
18. A lamp is marked with a sale price of $23.80, which is 15% off of the regular price. What is the regular price?
0.85 = 23.80;
1 = x; now, just cross multiply:
x = (23.80 * 1)/0.85 = 28;
19. A mattress store sells their stock for 15% off of retail. If someone pays cash, they take an additional 10% off of the discounted price. If a mattress's retail price is $750, what is the price after the store discount and the cash discount?
15% of 750 = 112.5; 750 - 112.5 = $637.5 after the store discount;637.5 - 63.75 = 573.75;
20. 85% of what number is 136?
A. 160
B. 170
C. 180
D. 190
E. 220
0.85 * x = 136; x = 136/0.85 = 160;
21. A building that is 150 ft tall casts a shadow of 20 feet long. At the same time a tree casts a shadow of 2 ft. How tall is the tree?
shadow is 20/150ths of the length of the building;
A 150 foot building casts a 20 foot shadow. This means that the sun angle causes the shadow to be 20/150 the length of the object casting it.The tree's shadow is 2 feet tall. Multiply 2 feet by 150/20 (inverting the fraction because we're going the other way) and we get 15 feet;
22. Which of the following is a true statement?
A. The product of two negative numbers is negative.
B. The product of one negative and one positive number is positive.
C. When dividing a positive number by a negative number, the results are negative.
D. When dividing a negative number by a positive number, the results are positive.
E. When dividing a negative number by a negative number the results are negative.
C.
23. What is the fractional equivalent of 12.5%?
12.5% = 0.125; (125/1000) = 1/8;
24. Change 4 3/5 to an improper fraction.
4 3/5 = 23/5;
25. The fine for a driver riding in the carpool lane without any passengers is $133. A driver is issued a bench warrant for $2,294.25, which includes a 15% fee for late charges and court costs. How many tickets has the driver not paid?
The $2294.25 that the driver is charged for fines also includes the 15% late charge. So, in order to find out how much the driver was actually charged for ticket fines, we can do the following: x=Amount driver was charged for ticket fines;
1.15x=2294.25;
x=1995;
1995/133= The total amount of tickets received= 15;
Another Solution: (how do you get the 1.15);
Divide $2294.25 by 1.15 to get the total charges without the late fee. Then divide by $133 to get the number of tickets.
2294.25/1.15=1995;
1995/133=15the 1.15 is just an easier way to calculate pre late fee amount with the percentage. if you divided $2294.25 by .15 (the 15% in decimal form) you would have to do another calculation to get the $1995. It works the other way too: If you had $1995 and wanted to know how much it was with the late fee you could multiply $1995 *.15 (=299.25) and then add $1995 + $299.25 (=2294.25) or multiply $1995 by 1.15 (=2294.25) which preforms the multiplication and addition in one step
26. Brett started a race at 6:30 A.M., and he did not cross the finish line until 1:05 P.M. How long did it take for Brett to finish the race?
6 hours and 35 minutes ;
27. What is the fraction equivalent of the shaded region in the following circle?
2/3; (Look at the Chart);
28. Multiply 2.345 x 0.023
2.34500 x 0.023 = 0.053935;
29. A men's basketball team won 24 games and lost 32. What is the ratio of games lost to the number of games played?
32/56 = 4/7;
30. Which of the following choices is equivalent to 5/6
A. 5/12
B. 10/6
C. 20/30
D. 15/24
E. 15/18
E. 15/18 = (5/6) *3;
31. Jill earns $120 for 8 hours of work. At the same pay rate, how much will she earn for 15 hours of work?
120 8
x 15
x = (120 * 15) / 8 = 225;
32. Which two years were the least number of tires sold?
B. 1998 and 2000 (Look at the Chart);
33. Which year did the store sell 1/3 more tires than the year before?
1999; (Look at the Chart);
34. What was the average number of tires sold by the store from 1998 to 2001?
9,375;
35. A salesman sold 20 cars in the month of July, and 40 cars the month of August. What is the percent increase in the number of cars the salesman sold?
100%;
36. If one side of a square is 5 units, what is the area of the square?
25;
37. If 8x + 5 = 21, then 3 x + 4 =
8x + 5 = 21; x = (21 - 5)/8 = 2; 3*2 + 4 = 10;
38. In triangle ABC, AB=BC and (C's measure is 65°.) What is the measure of angle B?
The geometry concept being test here is:
"If a triangle has two sides that are equal, the two angles opposite those sides are also equal."
If AB = BC, then the angles opposite those two sides are equal, namely angle C and angle A.
Since angle C is 65 degrees, angle A is also 65 degrees.
Angle B is then 180 - 65 - 65 = 50;
39. If the average arithmetic mean of 8, 12, 15, 21, x and 11 is 17 then what is x?
(8 + 12 + 15 + 21 + x + 11)/ 6 = 17;
8 + 12 + 15 + 21 + x + 11 = 102;
x = 102 - (8 + 12 + 15 + 21 + 11);
x = 102 - 67;
x = 35;
40. Sarah has a 20 dollar bill and a 5 dollar bill. If she purchases two items, one for $11.23 and the other for $8.32, then how much money does she have left over?
(20 + 5) - (11.23 + 8.32) = 25 - 19.55 = 5.45;
Advanced Math - www.testprepreview.com/modules/mathematics3.htm
1. How long will Lucy have to wait before for her $2,500 invested at 6% earns $600 in simple interest?
the simple interest equation is i=prt I is interest is principal or original amount and r is rate in a decimal. substitute it in ---> 600 = 2500*0.06*t ---> 600 = 150t ---> 4=T ---> so 4 months/years..however long it takes to get the 6% probably annually so 4 years;
2. Grace has 16 jellybeans in her pocket. She has 8 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?
It's a trick question. If grace wants one of each color, she will want 3 jelly beans. So, if she takes out 16-3=13 jelly beans, she will have in her bag, 3 jelly beans;
3. If r = 5 z then 15 z = 3 y, then r =
15 * r/5 = 3y; 3r = 3y; r = 3y/3 = y;
4. What is 35% of a number if 12 is 15% of a number?
15% of X = 12 therefore X = 80 so 35% of X = 28;
Another Solution:
To solve this, we need to first calculate what the unknown number is. We know that 12 is equivalent to 15 % of the number. Let the unknown number = X
This means that 12 is to X as 15 is to 100
12/x = 15/100
X = (12 × 100)/15
X = 80
So the number is 80. Now we need to find the 35 % of that number. This will be done is follows: 35 . × 80 = 28;
5. A computer is on sale for $1600, which is a 20% discount off the regular price. What is the regular price?
1600/x = 80/100, because you know 1600 is 80% of the total (x);
Cross-multiply: 160000 / 80x;
Divide 16000 by 80 = 2000 which is x;
6. A car dealer sells a SUV for $39,000, which represents a 25% profit over the cost. What was the cost of the SUV to the dealer
Price of SUV = $39,000;
Cost of SUV:
[25 (C)]/100 + C = 39,000;
(25C + 100C)/100 = 39,000;
125C = 39,000(100);
125C = 39, 00, 000;
C = 39,00,000/125;
C = $31200;
7. After having to pay increased income taxes this year, Edmond has to sell his BMW. Edmond bought the car for $49,000, but he sold it for a 20% loss. What did Edmond sell the car for?
10% 0f 49000 = 4900;
20% 0f 49000 = 9800;
49000 - 9800 = 39200;
8. If Sam can do a job in 4 days that Lisa can do in 6 days and Tom can do in 2 days, how long would the job take if Sam, Lisa, and Tom worked together to complete it?
x(1/4 + 1/2 + 1/6) = 1; Lowest common denominator (LCD = 12);
11x = 12;
x = 12/11 = 1 1/12 = 1.09 days;
9. Find 0.12 ÷12;
0.12 ÷ 12 = 12/1200 = 0.01;
10. Divide x^5 by x^2;
x^5 - X^2 = x^(5-2) = x^3;
11. Which of the following numbers could be described in the following way: an integer that is a natural, rational and whole number?
1;
12. Find the mode of the following list of numbers: 2, 4, 6, 4, 8, 2, 9, 4, 3, 8
Mode which is the most frequently occurring number in a group of numbers. So that,in this list of numbers, the mode is 4;
13. In the fraction 3/x, x may not be substituted by which of the following sets?
A. {1, 2, 4}
B. {-2,-3,-4}
C. {1, 3, 7}
D. {0, 10, 20}
E. {1.8, 4.3}
D. {0, 10, 20}----------Ideas: When x = 0; 3/x is undefined;
14. Sarah needs to make a cake and some cookies. The cake requires 3/8 cup of sugar and the cookies require 3/5 cup of sugar. Sarah has 15/16 cups of sugar. Does she have enough sugar, or how much more does she need?
She needs 3/8 + 3/5 = 39/40 cups of sugar.
She has 15/16th cup of sugar.
as 39/40>15/16
she requires: 39/40 - 15/16 cups o sugar = 0.0375 ~ 3/80 of a cup of sugar;
15. At a company fish fry, 1/2 in attendance are employees. Employees' spouses are 1/3 of the attendance. What is the percentage of the people in attendance who are not employees or employee spouses?
One half of X are employees.One third of X are employee's spouses.
We add one half PLUS one third:
1/2 + 1/3 = 3/6 + 2/6 = 5/6
Then we subtract that fraction from one whole, or 1,to see what fraction is left. That is, we say
1 minus 5/6 which is 1 - 5/6
Now write 1 as 6/6
6/6 - 5/6
We get 1/6
So 1/6 is left. Now we need to make that intoa percent by multiplying it by 100 and tacking on a "%"
1/6 × 100
1/6 × 100/1
50/3
16 2/3 %
So 16 2/3 % of the people in attendance are neither employees nor employee's spouses. Now let's check:
1/2 are employees. That's 50%
1/3 are employee's spouses. That's 33 1/3%;
15 2/3 % are neither employees nor employee's spouses;
Add them up:
50 %
33 1/3 %
16 2/3 %
--------
99 3/3 %
And 99 3/3% = 100;
16. In a college, some courses contribute more towards an overall GPA than other courses. For example, a science class is worth 4 points; mathematics is worth 3 points; History is worth 2 points; and English is worth 3 points. The values of the grade letters are as follows, A= 4, B=3, C=2, D=1, F=0. What is the GPA of a student who made a “C” in Trigonometry, a “B” in American History, an “A” in Botany, and a “B” in Microbiology?
Trignometry "C" = 2 (category Mathematics worth 3 points)
American History "B" = 3 (category History worth 2 points)
Botany "A" = 4 (category Science worth 4 points)
Microbiology "B" = 3 (category Science worth 4 points)
1) Multiple grades with category points and add them all as shown below:
2*3+3*2+4*4+3*4 = 6+6+16+12 = 40
2) Add all the category points as shown below:
3+2+4+4 = 13
Now to get the GPA, divide the answer from step 1 with answer from step 2 as shown:
GPA = 40/13 = 3.08;
17. There are 8 ounces in a ½ pound. How many ounces are in 7 3/4 lbs
8 oz = 1/2 a pound
16 oz = 1 pound
to calculate how many ounces there are in 7 3/4 pounds:
16 oz x 7 = 112 oz
3/4 of 16oz = 12 oz
112 oz + 12 oz = 124 ounces;
18. If the value of x and y in the fraction XZ/Y are both tripled, how does the value of the fraction change?
(3X)Z / (3Y)
Cancel the 3s to get:
XZ/Y
which is just what we started with, so the answer is:
E. remains the same;
19. What is the next number in the following pattern? 1, 1/2, 1/4, 1/8, ___
1/16;
20. Of the following units which would be more likely used to measure the amount of water in a bathtub?
liters;
21. If a match box is 0.17 feet long, what is its length in inches the most closely comparable to the following?
There are 12 inches in a foot, so:
.17 feet x 12 = 2.04 inches; (2 3/4 inch lipstick);
22. Which of the following fractions is the equivalent of 0.5%?
Best Answer - Chosen by Voters
to change percent into fraction, take out the percent symbol and divide it by 100.
so: .5% becomes .5/100
Now, move the decimal place to the right in the numerator and the denominator until you have rid the fraction of decimals.
so: .5/100 becomes 5/1000
The number of times you move the decimal place in the numerator is equal to the number of zeros you add in the denominator.
then reduce: 5/1000 = 1/200(divide both numerator and denominator by common factor 5);
23. In the graph below, no axes or origin is shown. If point B's coordinates are (10,3), which of the following coordinates would most likely be A's?
(6, 8) ;
24. Over the course of a week, Fred spent $28.49 on lunch. What was the average cost per day?
$28.49/7=$4.07;
25. Of the following units, which would be most likely to measure the amount of sugar needed in a recipe for 2 dozen cookies?
cups;
26. Jim has 5 pieces of string. He needs to choose the piece that will be able to go around his 36-inch waist. His belt broke, and his pants are falling down. The piece needs to be at least 4 inches longer than his waist so he can tie a knot in it, but it cannot be more that 6 inches longer so that the ends will not show from under his shirt. Which of the following pieces of string will work the best?
36" = 3 x 12 = 3 feet
4" = 4/12 foot = 1/3 foot
6" = 6/12 foot = 1/2 foot
Want something between:
36" + 4" = 3 1/3 feet
36" + 6" = 3 1/2 feet
3 4/5 > 3 ½
3 2/3 > 3 ½
3 3/8 < -------- bingo
3 1/4 < 3 1/3
2 1/2 < 3 1/3;
27. After purchasing a flat screen television for $750, John realizes that he got a great deal on it and wishes to sell it for a 15% profit. What should his asking price be for the television?
Buying Price + 15% mark-up = Selling Price;
750 + (750 x 0.15) = 750 + 112.50 = 862.50;
28.If 300 jellybeans cost you x dollars. How many jellybeans can you purchase for 50 cents at the same rate?
Doing this as similar ratios:
300 ... n
----- = ---
..x .....0.50
Cross multiplying you get:
150 = nx
n = 150/x
It depends on x, but you can buy 150/x jellybeans for 0.50.
For example if you could buy 300 jellybeans for 5 dollars, you could buy (150/5) = 30 jellybeans for 0.50.
You can buy 30 jelly beans for $0.50;
29. If 6 is 24% of a number, what is 40% of the same number?
6/24 = x/40
x = (6*40)/24 = 240/24 = 10;
Another Solution:
0.24x = 6; x = 600/24 = 25;
0.4x = N; N = 0.4*25 = 10;
30. Lee worked 22 hours this week and made $132. If she works 15 hours next week at the same pay rate, how much will she make?
Lee earns $132/ 22 = $6 per hour
for 15 hours = $6 * 15 = $90;
31. The last week of a month a car dealership sold 12 cars. A new sales promotion came out the first week of the next month and the sold 19 cars that week. What was the percent increase in sales from the last week of the previous month compared to the first week of the next month?
7 more cars sold. So 7/12= 58.3% increase
32. If 8x + 5x + 2x + 4x = 114, the 5x + 3 =
x(8+5+2+4) = 114; x = 114/19 = 6;
5*6 + 3 =33;
33. If two planes leave the same airport at 1:00 PM, how many miles apart will they be at 3:00 PM if one travels directly north at 150 mph and the other travels directly west at 200 mph?
Plane A travels 2 hours @ 150 MPH which is 300 miles.
Plane B travels 2 hours @ 200 MPH which is 400 miles.
Since they're travelling at 90° with respect to each other, the difference separating them is:
Sqrt(300^2+400^2) or 500 miles;
34. What is the cost in dollars to steam clean a room W yards wide and L yards long it the steam cleaners charge 10 cents per square foot?
1 Yard = 3 Feet
L yards = 3L feet
W yards = 3W feet
Area = 3L*3W = 9LW
The cost was 0.1 * 9LW = 0.9*LW
35. Find 8.23 x 10^9
8230000000
37. Which of the following has the least value?
A. 0.27
B. 1/4
C. 3/8
D. 2/11
E. 11%
E . 11% = 0.11;
38. How many boys attended the 1995 convention? (See the graph)
50% of 716 = 358;
39. Which year did the same number of boys and girls attend the conference?
1995;
40. Which two years did the least number of boys attend the convention?
1995 and 1996 ;
Measurement - www.testprepreview.com/modules/measurement.htm
1. What will it cost to carpet a room with indoor/outdoor carpet if the room is 10 feet wide and 12 feet long? The carpet costs 12.51 per square yard.
Total cost = (10/3) x (12/3) x 12.51 = $166.80;
2. If the perimeter of a rectangular house is 44 yards, and the length is 36 feet, what is the width of the house?
Length = 36 feet = 36(1/3 yard) = 12 yards
Perimeter = 2(Length + Width)
P = 2(L + W)
44 = 2(12 + W)
44 = 24 + 2W
44 - 24 = 2W
20 = 2W
10 = W;
3. What is the volume of the following cylinder? (Look at the Graph)
www.testprepreview.com/modules/measurement.htm
The volume of a cylinder is V=PI*r^2*h
V = PI*(3cm)^2*(8cm)
V = 3.14*72=226.08;
4. What is the volume of a cube whose width is 5 inches?
The volume of a cube is the cube of the edge length. (5 in)^3 = 5^3 in^3 = 125 in^3;
5. Sally has three pieces of material. The first piece is 1 yd. 2 ft. 6 in. long, the second piece is 2 yd. 1 ft. 5 in long, and the third piece is 4 yd. 2ft. 8in long. How much material does Sally have?
1 Yard = 3 ft;
1 ft = 12 in;
If you add up the pieces you'll get:
7 yrd, 5 ft, 19 in ; (19in = 1ft,7in);
7 yrd, 6 ft, 7 in ; (6ft = 2yrd);
9 yrd,7 in;
6. A can's diameter is 3 inches, and its height is 8 inches. What is the volume of the can?
pi *( r squared )* height;
3.14 * (1.5^2) * 8 = 56.52;
7. If the area of a square flowerbed is 16 square feet, then how many feet is the perimeter of the flowerbed?
16 square feet = 4 feet on each side. (4 feet * 4 feet = 16 square feet.)
Then just add up the sides: 4 feet + 4 feet + 4 feet + 4 feet = 16 feet.
It's just a coincidence that both answers are 16;
if the area of the flowerbed was 9 square feet, the perimeter would be 12 feet;
8. Of the following units which would be more likely used to measure the amount of water in a bathtub?
liters;
9. If a match box is 0.17 feet long, what is its length in inches the most closely comparable to the following?
There are 12 inches in a foot, so:
.17 feet x 12 = 2.04 inches (2 3/16 inch staple remover)
10. What is the cost in dollars to steam clean a room W yards wide and L yards long it the steam cleaners charge 10 cents per square foot?
Multiply W times L to get total square yards. Then divide by 12 to get total square feet, then multiply by 10 to get total cost:
W*L ---> yds^2;
WL/12 ---> ft^2;
WL/12 * 10 = 0.83WL ~ 0.9WL;
11. Once inch equals 2.54 cm, How many centimeters tall is a 76- inch man?
76 * 2.54 = 193.04 sm;
12. A room measures 11 ft x 12 ft x 9 ft. What is the volume?
11 * 12 * 9 = 1 188;
13. A vitamin's expiration date has passed. It was supposed to contain 500 mg of Calcium, but it has lost 325 mg of Calcium. How many mg of Calcium are left?
500 - 325 = 175 mg;
14. You have orders to give a patient 20 mg of a certain medication. The medication is stored 4 mg per 5-mL dose. How many milliliters will need to be given?
This is cross multiplication;
20mg/x = 4mg/5ml; 4x = 20*5; x = (20*5)/4 = 25ml;
If each teaspoonful (5ml) contains 4mg then 4x=20...... x = 5!
5 teaspoonfuls or 25ml would bring you to your dose;
15. You need exactly a 1680 ft^3 aquarium for your fish. At the pet store you see four choices of aquariums, but the volume is not listed. The length, width, and height are listed on the box. Which of the following aquariums would fit your needs?
A. 12 ft x 12 ft x 12 ft
B. 13 ft x 15 ft x 16 ft
C. 14 ft x 20 ft x 6 ft
D. 15 ft x 16 ft x 12 ft
E. 15 ft x 12 ft x 12 ft
A= 1728
B= 3120
C= 1680; 14 x 20 x 6 = 1680;
16. One slice of bread is 80 calorie. Approximately how many calories are in 2 ½ slices of bread?
2.5 * 80 = 200;
Nouns - www.testprepreview.com/modules/nouns.htm
Percents and Ratios
1. If a discount of 20% off the retail price of a desk saves Mark $45, how much did he pay for the desk?
Algebra..you know that $45 is 20% of the original price, so set an equality...
$45/X = 20/100 where X is the original price;
x= (100*45)/20;
x= 225 - 45 = $180;
2. A customer pays $1,100 in state taxes on a newly purchased car. What is the value of the car if state taxes are 8.9% of the value?
.089X=1100;
X=1100/.089;
X=$12,359.55 PRICE OF THE CAR;
3. How many years does Steven need to invest his $3,000 at 7% to earn $210 in simple interest?
Interest = principle * interest rate * time,
then:
210 = 3000 * 0.07 * time
or:
time = 210/(3000 * 0.07) = 210/210 = 1 year;
4. Sabrina's boss states that she will increase Sabrina's salary from $12,000 to $14,000 per year if she enrolls in business courses at a local community college. What percent increase in salary will result from Sabrina taking the business courses?
Use this formula: increase/original price x 100;
So, 14,000 - 12,000 = 2,000 increase;
So, 2,000/12,000 = .167;
So, .167 x 100 = 16.7%;
5. 35% of what number is 70?
.35 x = 70;
x = 70/.35 = 200;
6. What number is 5% of 2000?
10% = 200;
5% = 100;
7. What percent of 90 is 27?
Divide 27 by 90 to get .3 then u move the decimal 2 places. 27 is 30% of 90;
8. Jim works for $15.50 per hour for a health care facility. He is supposed to get a 75 cent per hour raise at one year of service. What will his percent increase in hourly pay be?
You simply have to find what percent 75 cents is out of $15.50. Make a proportion; remember that percentages are out of a hundred:
0.75/15.5 = x/100 (cross multiply)
75 = 15.5x (divide both sides by 15.5)
4.84 = x;
9. If 45 is 120% of a number, what is 80% of the same number
x times 1.20 = 45
x = 45/1.20
x = 37.5
80% of 37.5 is:
37.5 x .80 = 30 <===your answer;
10. How long will Lucy have to wait before her $2,500 invested at 6% earns $600 in simple interest?
the simple interest equation is
i=prt
I is interest is principal or original amount and
r is rate in a decimal.
substitute it in --->
600 = 2500*0.06*t --->
600 = 150t --->
4=T ---> so 4 months/years..however long it takes to get the 6% probably annually so 4 years
11. What is 35% of a number if 12 is 15% of a number?
15% of X = 12 therefore X = 80 so 35% of X = 28;
12. A computer is on sale for $1600, which is a 20% discount off the regular price. What is the regular price?
1600/x = 80/100, because you know 1600 is 80% of the total (x)
Cross-multiply: 160000 / 80x
Divide 16000 by 80 = 2000 which is x;
13. A car dealer sells a SUV for $39,000, which represents a 25% markup over the dealer's cost. What was the cost of the SUV to the dealer?
Dealer_cost*125% = $39,000
dealer_cost = $39,000/125% = $39,000/1.25 = $31,200;
14. After having to pay increased income taxes this year, Edmond has to sell his BMW. Edmond bought the car for $49,000, but he sold it for a 20% loss. What did Edmond sell the car for?
10% = 4900;
20% = 9800;
49000 - 9800 =$39200;
15. At a company fish fry, ½ in attendance are employees. Employees' spouses are 1/3 of the attendance. What is the percentage of the people in attendance who are not employees or employee spouses?
the percentage of people who are NOT employees or employee spouses, is 1-(1/3+1/2)
1/3+1/2 converting to common denominator, is 2/6+3/6 =5/6. Therefore there is 1/6 people who are not employees or spouses. 1/6 is 16.7%;
16. If 6 is 24% of a number, what is 40% of the same number?
6/24 = x/40;
x=(40*6)/24=10;
17. 25% of 400 =
10% 0f 400=40;
5% of 400=20
25% of 400 =100;
18. 22% of $900 =
10% of 900 = 90;
2% of 900 = 18;
22% of 900 = 198;
19. Which of the following percentages is equal to 0.45?
A. 0.045%
B. 0.45%
C. 4.5%
D. 45%
E. 0.0045%
D. 45%;
20. Which of these percentages equals 1.25?
A. 0.125%
B. 12.5%
C. 125%
D. 1250%
E. 1250.5%
C. 125%
Basic Reading Comprehension - www.testprepreview.com/modules/reading1.htm
Reading for the Main Idea - www.testprepreview.com/modules/readingmainidea.htm
Advanced Reading Comprehension - www.testprepreview.com/modules/readingtest2.htm
Reading Vocabulary - www.testprepreview.com/modules/readingvocabulary.htm
Sentence Correction - www.testprepreview.com/modules/sentencecorrectiont.htm
Sentence Flow - www.testprepreview.com/modules/sentenceflowt.htm
Usage Test 1 - www.testprepreview.com/modules/usagetest.htm
Usage Test 2 - www.testprepreview.com/modules/usagetest2t.htm
Usage Test 3 - www.testprepreview.com/modules/usage_test_3.htm
Verbs - www.testprepreview.com/modules/verbs.htm
Writing Section 1 -www.testprepreview.com/modules/writing1section1.htm
Writing Section 2 - www.testprepreview.com/modules/writing1section2.htm
Self Improvement Directory - www.testprepreview.com/selfimprovementdirectory.htm
Subscribe to:
Posts (Atom)