HESI A2
HESI A2 Math Practice Test
1. Positive integers are numbers greater than zero. Which of the following expressions results in the largest positive number?
- A. (2 + 3)^2
- B. 5 x 7 + 2
- C. 10^2 - 4^2
- D. (8 - 1) x 3
Correct answer: C
Rationale: To find the largest positive number among the expressions, we evaluate each one: A) (2 + 3)^2 = 5^2 = 25 B) 5 x 7 + 2 = 35 + 2 = 37 C) 10^2 - 4^2 = 100 - 16 = 84 D) (8 - 1) x 3 = 7 x 3 = 21 Therefore, the expression that results in the largest positive number is 10^2 - 4^2, which equals 84. Choices A, B, and D result in smaller numbers.
2. Select the meaning of the word 'vital' in the sentence: 'It is vital for the victim of a serious accident to receive medical attention immediately.'
- A. recommended
- B. discouraged
- C. essential
- D. sufficient
Correct answer: C
Rationale: In this context, 'vital' means absolutely necessary or essential, indicating that receiving medical attention immediately is crucial for the victim's well-being. Choice A, 'recommended,' suggests a level of advisability rather than necessity. Choice B, 'discouraged,' is the opposite of the meaning conveyed by 'vital.' Choice D, 'sufficient,' implies having enough of something, which is not the intended meaning in the given sentence.
3. How much paint do you need to paint the interior walls and floor of a rectangular swimming pool with dimensions 8m by 5m and a depth of 2m? (Assume one can of paint covers 10 sq m)
- A. 56 sq m
- B. 72 sq m
- C. 88 sq m
- D. 104 sq m
Correct answer: C
Rationale: To calculate the total area to be painted, find the area of each wall and the floor, sum them up, and subtract the area of the top surface of the pool. The area to be painted is (2*8 + 2*5 + 8*5) = 16 + 10 + 40 = 66 sq m. Since one can of paint covers 10 sq m, divide the total area (66 sq m) by the coverage area per can to determine the number of cans needed. Therefore, you need 88 sq m of paint, which is equivalent to 9 cans of paint. Choice A, B, and D are incorrect as they do not represent the correct calculation of the total area to be painted.
4. Which word is not spelled correctly in the context of the following sentence? Everyone in the fraternity found the four boys' pranks sophomoric.
- A. Everyone
- B. fraternity
- C. boys'
- D. sophomoric
Correct answer: C
Rationale: The word 'boys'' should be spelled as 'boys' in this context. The correct possessive form of the plural noun 'boys' does not require an apostrophe before the final S, which indicates possession. In this sentence, the intent is to show that the pranks belong to the four boys collectively, so the correct possessive form is 'boys' without the additional apostrophe.
5. 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 รท 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.
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