you need 45 cups of water for a recipe you accidentally put 13 cups into the mixing bowl with the dry ingredients how much more water in cups do you n

HESI A2

HESI A2 Math Practice Test 2024

1. 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?

A. 7/15 cups
B. 2/3 cups
C. 1/3 cups
D. 1/15 cups

Correct answer: A

Rationale: To find how much more water is needed, subtract 1/3 cup from 4/5 cup. First, find a common denominator: The least common denominator between 5 and 3 is 15. Convert the fractions: 4/5 = 12/15, 1/3 = 5/15. Now, subtract: 12/15 - 5/15 = 7/15. Therefore, you need to add 7/15 cups of water. Choice B (2/3 cups) is incorrect because it does not represent the correct amount of additional water needed. Choice C (1/3 cups) is incorrect because this is the amount of water that was accidentally added. Choice D (1/15 cups) is incorrect as it does not reflect the correct calculation of the additional water required.

2. Reduce 5 & 3/4 divided by 1/2.

A. 5 & 1/2
B. 2 & 3/8
C. 18
D. 11 & 1/2

Correct answer: D

Rationale: To divide mixed numbers, convert them to improper fractions. 5 & 3/4 = 23/4 and 1/2 = 2/1. So, 23/4 ÷ 2/1 = 23/4 * 1/2 = 23/8 = 2 & 7/8. Therefore, 5 & 3/4 divided by 1/2 reduces to 11 & 1/2. Choices A, B, and C are incorrect because they do not represent the correct result of dividing 5 & 3/4 by 1/2.

3. Add 2\3 + 1\6 + 2\5.

A. 1 & 7\30
B. 1 & 1\15
C. 2\5
D. 3\4

Correct answer: A

Rationale: To add fractions, find a common denominator (30), which gives 20/30 + 5/30 + 12/30=37/30= 1 7/30

4. Convert the percentage to a decimal: 38%

A. 3.8
B. 0.38
C. 0.038
D. 38.0

Correct answer: B

Rationale: To convert a percentage to a decimal, you divide the percentage by 100. Therefore, 38% as a decimal is 0.38 (38 ÷ 100 = 0.38). Choice A, 3.8, is incorrect as it is equivalent to 380%. Choice C, 0.038, is incorrect as it represents 3.8%. Choice D, 38.0, is incorrect as it is still in percentage form.

5. Add 2/3 + 4/9.

A. 8/15
B. 1
C. 10/9
D. 1/2

Correct answer: C

Rationale: To add the fractions, first find a common denominator. The least common denominator between 3 and 9 is 9. Convert 2/3 to 6/9 then add 6/9 + 4/9: = 10/9