HESI A2
HESI A2 Math Practice Exam
1. Which of the following numbers is a perfect square?
- A. 10
- B. 12
- C. 15
- D. 16
Correct answer: D
Rationale: A perfect square is a number obtained by squaring an integer. In this case, 16 is a perfect square because it is the result of squaring 4 (4 x 4 = 16). The other answer choices, 10, 12, and 15, are not the product of squaring any whole number, making them incorrect. Therefore, the correct answer is 16, as it is a perfect square.
2. What is the sum of 3/7, 4/7, and 2/7?
- A. 7/7
- B. 9/7
- C. 6/7
- D. 7/7
Correct answer: B
Rationale: To find the sum of fractions with the same denominator, add the numerators. Here, 3/7 + 4/7 + 2/7 = (3 + 4 + 2)/7 = 9/7. Therefore, the correct answer is 9/7. Choice A (7/7) is incorrect as the sum is not 7/7. Choice C (6/7) is incorrect as the sum is not 6/7. Choice D (7/7) is incorrect as the sum is not 7/7.
3. What is 110% of 40?
- A. 60
- B. 50
- C. 55
- D. 44
Correct answer: D
Rationale: To find 110% of a number, you multiply the number by 1.10. Therefore, 1.10 * 40 = 44. Since 110% of 40 is 44, the correct answer is D. Choice A (60) is the result of finding 150% of 40, not 110%. Choice B (50) is incorrect as it represents 125% of 40. Choice C (55) is not the correct answer as it corresponds to 137.5% of 40.
4. Divide: 92 รท 11 =
- A. 8 r3
- B. 8 r4
- C. 8 r7
- D. 9 r1
Correct answer: B
Rationale: To divide 92 by 11, you get 8 as the whole number part of the quotient. The remainder is 4, so the correct answer is 8 r4. Choice A, 8 r3, is incorrect because the remainder is 4, not 3. Choice C, 8 r7, is incorrect as the remainder cannot be greater than the divisor. Choice D, 9 r1, is incorrect as the whole number part of the quotient is 8, not 9.
5. Subtract 12 1/8 - 9 1/2.
- A. 2 5/8
- B. 3 1/8
- C. 4 1/2
- D. 4 2/3
Correct answer: A
Rationale: To subtract mixed numbers, first subtract the fractions: 1/8 - 1/2 = -3/8. Then, subtract the whole numbers: 12 - 9 = 3. Combine the whole number and fraction: 3 - 3/8 = 2 5/8. Therefore, the correct answer is A. Choice B is incorrect because it does not reflect the correct subtraction of the fractions. Choices C and D are incorrect as they do not result from the correct subtraction process outlined above.
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