HESI A2
HESI A2 Math Practice Test
1. What is the volume of water needed to fill a rectangular swimming pool with dimensions 10 meters by 5 meters and a depth of 2 meters?
- A. 50 cu m
- B. 100 cu m
- C. 150 cu m
- D. 200 cu m
Correct answer: B
Rationale: To find the volume of the rectangular swimming pool, you need to multiply the length by the width by the depth. Volume = Length x Width x Depth. Therefore, Volume = 10m x 5m x 2m = 100 cubic meters. This means it takes 100 cubic meters of water to fill the pool. Choices A, C, and D are incorrect as they do not correctly calculate the volume based on the provided dimensions.
2. Divide and simplify: 4⅛ ÷ 1½ =
- A. 4½
- B. 4¼
- C. 2¾
- D. 2¼
Correct answer: C
Rationale: To divide mixed numbers, we first convert them to improper fractions. Converting 4⅛ to an improper fraction gives us 33/8, and converting 1½ gives us 3/2. Dividing 33/8 by 3/2, we multiply the first fraction by the reciprocal of the second. This gives us (33/8) / (3/2) = (33/8) * (2/3) = 66/24 = 11/4, which simplifies to 2¾. Therefore, the correct answer is 2¾. Choices A, B, and D are incorrect as they do not represent the correct result of dividing 4⅛ by 1½.
3. Convert 5/8 to a decimal.
- A. 0.625
- B. 0.5
- C. 0.4
- D. 0.75
Correct answer: A
Rationale: To convert 5/8 to a decimal, divide 5 by 8: 5 ÷ 8 = 0.625. The correct answer is A (0.625). Choice B (0.5) is incorrect because it represents 1/2. Choice C (0.4) is incorrect because it represents 2/5. Choice D (0.75) is incorrect because it represents 3/4.
4. In a survey, 120 people were asked if they could swim. If 85% said they could, how many people could swim?
- A. 100
- B. 102
- C. 110
- D. 90
Correct answer: B
Rationale: To find the number of people who could swim, multiply the total number surveyed by the percentage who said they could swim. In this case, 85% of 120 people is calculated as 0.85 * 120, resulting in 102 people who could swim. Choice A (100) is incorrect because this does not account for the percentage that said they could swim. Choice C (110) is incorrect as it is above the total number surveyed. Choice D (90) is incorrect as it does not consider the percentage who said they could swim.
5. What is the result of multiplying 8 by 2?
- A. 16
- B. 22
- C. 24
- D. 32
Correct answer: A
Rationale: The correct answer is A: 16. When you multiply 8 by 2, the result is 16. Choice B (22), Choice C (24), and Choice D (32) are incorrect as they do not represent the correct multiplication of 8 by 2.
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