HESI A2
HESI A2 Math Practice Exam
1. How many centimeters are in a foot?
- A. 30 cm
- B. 31.5 cm
- C. 30.48 cm
- D. 35 cm
Correct answer: C
Rationale: The correct answer is C: 30.48 cm. This conversion is based on the standard measurement where 1 foot is equal to 30.48 centimeters. Choice A (30 cm) is incorrect as it is a rounded-down value and not precise. Choice B (31.5 cm) is incorrect as it is not the standard conversion for feet to centimeters. Choice D (35 cm) is incorrect as it is not the accurate conversion for a foot to centimeters.
2. What is the result of adding 12 1/21 and 3 1/3?
- A. 15 8/21
- B. 16 5/24
- C. 15
- D. 14
Correct answer: A
Rationale: To add 12 1/21 and 3 1/3, first add the whole numbers: 12 + 3 = 15. Then, add the fractions: 1/21 + 1/3. To find a common denominator, multiply 21 by 3 to get 63. Convert 1/21 to an equivalent fraction with a denominator of 63 by multiplying the numerator and denominator by 3, resulting in 3/63. Now add 3/63 (equivalent to 1/21) and 21/63 (equivalent to 1/3) to get 24/63. Simplifying 24/63 gives 8/21. Therefore, the sum is 15 8/21. Choices B, C, and D are incorrect because they do not result from the correct addition of the given numbers and fractions.
3. After taking several practice tests, Brian improved the results of his GRE test by 30%. Given that the first time he took the test Brian answered 150 questions correctly, how many questions did he answer correctly on the second test?
- A. 105
- B. 120
- C. 180
- D. 195
Correct answer: D
Rationale: If Brian answered 150 questions correctly on the first test, after improving his results by 30%, he would have answered (150 * 1.30) = 195 questions correctly on the second test. Therefore, the correct answer is 195, option D. Choices A, B, and C are incorrect as they do not account for the 30% improvement in the number of questions Brian answered correctly on the second test.
4. What is the result of 32 divided by 8/9?
- A. 4 & 1/9
- B. 4
- C. 36
- D. 28 & 4/9
Correct answer: C
Rationale: To divide by a fraction, we can multiply by its reciprocal. Therefore, dividing 32 by 8/9 is the same as multiplying 32 by 9/8, which equals 36. The correct answer is C. Choice A, 4 & 1/9, is incorrect because the result is a whole number. Choice B, 4, is incorrect as it does not consider the fraction. Choice D, 28 & 4/9, is incorrect as it is not the result of dividing 32 by 8/9.
5. If there are 128 ounces in 1 gallon, how many ounces are in 2.5 gallons?
- A. 256 ounces
- B. 320 ounces
- C. 400 ounces
- D. 250 ounces
Correct answer: B
Rationale: To find the total number of ounces in 2.5 gallons, multiply the number of gallons by the number of ounces per gallon: 2.5 gallons × 128 ounces/gallon = 320 ounces. The correct answer is 320 ounces. Choice C (400 ounces) is incorrect because multiplying 2.5 by 128 gives 320, not 400. Choice D (250 ounces) is also incorrect as it seems to be a miscalculation.
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