HESI A2
HESI A2 Math Practice Test 2023
1. What is 25% of 200?
- A. 50
- B. 60
- C. 25
- D. 30
Correct answer: A
Rationale: To find 25% of a number, you multiply the number by 0.25. So, to calculate 25% of 200, you do 0.25 × 200 = 50. Therefore, the correct answer is A. Choice B (60) is incorrect as it is the result of calculating 30% of 200. Choice C (25) is incorrect as it represents 12.5% of 200. Choice D (30) is incorrect as it is the result of calculating 15% of 200.
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. 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.
4. A decorative globe has a diameter of 25cm. What is its total surface area?
- A. 1570 sq cm
- B. 1963 sq cm
- C. 2513 sq cm
- D. 3142 sq cm
Correct answer: B
Rationale: To find the total surface area of a sphere, you can use the formula: 4 * π * (radius)^2, where the radius is half the diameter. Given that the diameter is 25cm, the radius is half of that, which is 12.5cm. Substitute this value into the formula: 4 * π * (12.5cm)^2 ≈ 1963 sq cm. Therefore, the total surface area of the decorative globe is approximately 1963 sq cm. Choices A, C, and D are incorrect as they do not correspond to the correct calculation.
5. If Kevin can wash 30 cars in 15 minutes, how many minutes will it take him to wash 100 cars?
- A. 50 minutes
- B. 55 minutes
- C. 30 minutes
- D. 45 minutes
Correct answer: A
Rationale: To find out how many minutes Kevin will take to wash 100 cars, set up a proportion: 30 cars is to 15 minutes as 100 cars is to x minutes. Cross multiplying gives 30x = 1500. Solving for x, x = 1500 / 30 = 50. Therefore, it will take Kevin 50 minutes to wash 100 cars. Choice A is correct. Choice B, C, and D are incorrect as they do not correctly calculate the time needed based on the given information.
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