HESI A2
HESI A2 Math Practice Test 2022
1. Compare: 0.045 is _____ to 0.054.
- A. Greater than
- B. Less than
- C. Less than or equal to
- D. Equal
Correct answer: B
Rationale: The correct answer is B. When comparing 0.045 and 0.054, 0.045 is less than 0.054. Therefore, the correct relation is 'Less than.' Choice A ('Greater than') is incorrect because 0.045 is not greater than 0.054. Choice C ('Less than or equal to') is incorrect because 0.045 is strictly less than 0.054, not less than or equal to. Choice D ('Equal') is incorrect because 0.045 and 0.054 are not equal.
2. Solve for x: 7:42 :: 4:x
- A. 16
- B. 24
- C. 48
- D. 12
Correct answer: B
Rationale: To solve this proportion, set up the equation: 7/42 = 4/x. Cross-multiply to get 7x = 168. Solve for x by dividing both sides by 7, yielding x = 24. Therefore, the correct answer is 24. Choice A (16), Choice C (48), and Choice D (12) are incorrect as they do not satisfy the proportion 7:42 :: 4:x.
3. The recipe states that 4 cups of sugar will make 120 cookies. How many cups of sugar are needed to make 90 cookies?
- A. 3 cups
- B. 2 cups
- C. 1.5 cups
- D. 4 cups
Correct answer: A
Rationale: To find out how many cups of sugar are needed for 90 cookies when 4 cups make 120 cookies, set up a proportion: 4/120 = x/90. Cross multiply to get 120x = 4 * 90. Solve for x to find x = 360/120 = 3. Therefore, 3 cups of sugar are needed for 90 cookies. Choice B (2 cups), Choice C (1.5 cups), and Choice D (4 cups) are incorrect because they do not align with the correct proportion calculation. The correct calculation shows that 3 cups of sugar are required for 90 cookies, as the recipe proportionally reduces when making fewer cookies.
4. Subtract 32 divided by 8\9.
- A. 36
- B. 32
- C. 40
- D. 44
Correct answer: A
Rationale: 32 ÷ (8\9) is the same as 32 × (9\8) = 36.
5. How many grams are in 8 kilograms?
- A. 80000 grams
- B. 800 grams
- C. 80000 grams
- D. 8000 grams
Correct answer: D
Rationale: To convert kilograms to grams, you multiply by 1,000 since there are 1,000 grams in a kilogram. Therefore, 8 kilograms = 8 x 1,000 = 8,000 grams. The correct answer is 8,000 grams, which is option D. Choices A and C are incorrect as they incorrectly multiply by 10,000 instead of 1,000. Choice B is incorrect as it divides 8 by 10 instead of multiplying by 1,000.
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