HESI A2
HESI A2 Math Practice Test 2023
1. Change 0.004 to a ratio.
- A. 1:250
- B. 17:40
- C. 9:20
- D. 20:40
Correct answer: A
Rationale: To convert 0.004 to a ratio, first express it as a fraction. 0.004 = 4/1000 = 1/250. Therefore, the ratio is 1:250. Choice A is the correct answer. Choices B, C, and D are incorrect ratios as they do not represent the equivalent fraction of 0.004.
2. If two workers can finish building a play set in 18 hours, how long will it take 4 workers to build 3 play sets?
- A. 27 hours
- B. 36 hours
- C. 24 hours
- D. 54 hours
Correct answer: A
Rationale: If 2 workers can complete building one play set in 18 hours, it means one worker would take 36 hours to complete the same task. When the number of workers is doubled to 4, the time is halved, so 4 workers would take 18 hours to build one play set. To build 3 play sets, the total time needed would be 3 times the time for one play set, which equals 54 hours. Therefore, 4 workers can build 3 play sets in 27 hours, making choice A the correct answer. Choices B, C, and D are incorrect because they do not account for the correct relationship between the number of workers and the time required to complete the task.
3. What is the perimeter of a garden bed with a side length of 8 meters?
- A. 16m
- B. 24m
- C. 32m
- D. 64m
Correct answer: B
Rationale: The correct answer is B: 24m. The perimeter of a square is found by adding up all its sides. In this case, since the garden bed has a side length of 8 meters, the perimeter would be 8m + 8m + 8m + 8m = 24m. Choices A, C, and D are incorrect because they do not correctly calculate the perimeter of a square with a side length of 8 meters.
4. Which of the following numbers is NOT divisible by 3?
- A. 105
- B. 141
- C. 273
- D. 810
Correct answer: D
Rationale: To determine if a number is divisible by 3, we can check if the sum of its digits is divisible by 3. If the sum of the digits is divisible by 3, then the original number is also divisible by 3. A) 105: 1 + 0 + 5 = 6, which is divisible by 3. Therefore, 105 is divisible by 3. B) 141: 1 + 4 + 1 = 6, which is divisible by 3. Therefore, 141 is divisible by 3. C) 273: 2 + 7 + 3 = 12, which is divisible by 3. Therefore, 273 is divisible by 3. D) 810: 8 + 1 + 0 = 9, which is not divisible by 3. Therefore, 810 is NOT divisible by 3. Therefore, the correct answer is D (810). Choices A, B, and C are all divisible by 3 as the sum of their digits is divisible by 3.
5. The metric system of measurement was developed in France during Napoleon's reign. It is based on what multiplication factor?
- A. The length of Napoleon's forearm
- B. 2
- C. 10
- D. Atomic weight of helium
Correct answer: C
Rationale: The metric system is based on powers of 10, making calculations and conversions easier because each unit increases or decreases by a factor of 10. This factor allows for a simple and consistent way to move between different units within the system. Choice A, 'The length of Napoleon's forearm' is incorrect as the metric system is not based on a physical attribute but on a standardized mathematical factor. Choice B, '2,' and Choice D, 'Atomic weight of helium,' are also incorrect as they do not align with the foundational principle of the metric system being based on powers of 10.
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