HESI A2
Math HESI A2 Practice Test
1. What is the result of subtracting 4.7 from 9.5?
- A. 4.8
- B. 4.9
- C. 4.6
- D. 4.7
Correct answer: A
Rationale: The correct subtraction is 9.5 - 4.7 = 4.8. Therefore, the correct answer is 4.8. Choice B (4.9) is incorrect because 9.5 - 4.7 is not equal to 4.9. Choice C (4.6) is incorrect as it is not the result of subtracting 4.7 from 9.5. Choice D (4.7) is the number being subtracted and not the result of the subtraction.
2. What is the total perimeter of a playground fence that has a rectangular section (5m by 3m) attached to a semicircular section with a radius of 2m?
- A. 13m
- B. 16m
- C. 19m
- D. 22m
Correct answer: D
Rationale: To find the total perimeter, we first calculate the perimeter of the semicircle, which is half of a full circle, so the formula is π * radius. For the semicircle with a radius of 2m, the perimeter is approximately 3.14 * 2m = 6.28m. Next, we calculate the perimeter of the rectangular section by adding twice the length and twice the width (2 * length + 2 * width). For the rectangle with dimensions 5m by 3m, the perimeter is 2 * 5m + 2 * 3m = 10m + 6m = 16m. Finally, we sum the perimeters of the semicircle and the rectangle to get the total perimeter: 6.28m + 16m = 22.28m. Rounding to the nearest meter, the total perimeter is approximately 22m. Therefore, the correct answer is 22m. Choices A, B, and C are incorrect as they do not accurately calculate the total perimeter of the playground fence.
3. Percent Increase/Decrease: A medication dosage is increased by 20%. If the original dosage was 100mg, what is the new dosage?
- A. 80mg
- B. 100mg
- C. 120mg
- D. 140mg
Correct answer: C
Rationale: Calculate the increase in dosage: 100mg * 20% = 100mg * 0.20 = 20mg. Add the increase to the original dosage to find the new dosage: 100mg + 20mg = 120mg. Therefore, the new dosage is 120mg after a 20% increase from the original 100mg dosage. Choice A (80mg) is incorrect because it represents a decrease rather than an increase. Choice B (100mg) is the original dosage and does not account for the 20% increase. Choice D (140mg) is incorrect as it is the original dosage plus 40%, not the 20% increase specified.
4. Convert 5 3/4 to a decimal. Round to the nearest tenth.
- A. 5.75
- B. 5.7
- C. 5.8
- D. 6
Correct answer: C
Rationale: To convert 5 3/4 to a decimal, divide the numerator (3) by the denominator (4) to get 0.75. Adding this to the whole number 5 results in 5.75. When rounding to the nearest tenth, 5.75 rounds to 5.8. Therefore, the correct answer is 5.8. Choice A, 5.75, is the result before rounding to the nearest tenth. Choice B, 5.7, is incorrect as it does not account for the 0.05 difference when rounding. Choice D, 6, is the next whole number and is not the correct decimal equivalent of 5 3/4.
5. A train leaves the station at 1:45 PM traveling at a constant speed of 65 mph. If it arrives at its destination at 3:15 PM, how many miles did it travel?
- A. 97.5 miles
- B. 100 miles
- C. 95 miles
- D. 105 miles
Correct answer: A
Rationale: To calculate the distance traveled by the train, multiply the speed (65 mph) by the time it took to reach the destination, which is 1.5 hours (3:15 PM - 1:45 PM = 1.5 hours). Therefore, 65 mph × 1.5 hours = 97.5 miles. This calculation is correct because distance = speed × time. Choices B, C, and D are incorrect as they do not reflect the correct calculation based on the given information.
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