HESI A2
HESI A2 Practice Test Math
1. The height of a building is 150 feet. If each floor of the building is 12 feet high, how many floors are in the building?
- A. 13 floors
- B. 15 floors
- C. 10 floors
- D. 18 floors
Correct answer: A
Rationale: To determine the number of floors in the building, divide the total height of the building (150 feet) by the height of each floor (12 feet). 150 feet ÷ 12 feet per floor = 12.5 floors. Since floors cannot be in fractions, the answer is rounded down to the nearest whole number, which is 13 floors. Therefore, the correct answer is A: 13 floors. Choice B (15 floors) is incorrect because the calculation results in 12.5 floors, which should be rounded down. Choices C (10 floors) and D (18 floors) are incorrect as they do not accurately reflect the division result and rounding down process.
2. The length of a rectangle is twice its width, and its area is equal to the area of a square with 12 cm sides. What will be the perimeter of the rectangle to the nearest whole number?
- A. 36 cm
- B. 46 cm
- C. 51 cm
- D. 56 cm
Correct answer: A
Rationale: Let the width of the rectangle be x cm, and its length be 2x cm. The area of the rectangle is 2x * x = 2x², and the area of the square is 12² = 144 cm². Setting the areas equal gives 2x² = 144. Solving for x gives x = 6. Thus, the width is 6 cm, and the length is 12 cm. The perimeter is 2(6 + 12) = 36 cm. Therefore, the correct answer is 36 cm. Choice B, 46 cm, is incorrect because it does not match the calculated perimeter. Choices C and D are also incorrect as they do not reflect the correct calculation of the rectangle's perimeter.
3. Bill has 2.5 vacation days left for the rest of the year and 1.25 sick days left. If Bill uses all of his sick days and his vacation days, how many days will he have off work?
- A. 1 day
- B. 3 days
- C. 2 days
- D. 4 days
Correct answer: D
Rationale: To find the total number of days Bill will have off, add his vacation days and sick days together. Bill has 2.5 vacation days and 1.25 sick days: 2.5 + 1.25 = 3.75 days When rounding to the nearest whole number, 3.75 rounds up to 4. Therefore, Bill will have 4 days off work.
4. Which of the following is equivalent to 0.0009?
- A. 0.009%
- B. 0.9%
- C. 0.09%
- D. 9%
Correct answer: C
Rationale: To convert 0.0009 to a percentage, you need to multiply by 100. This gives 0.0009 as 0.09%. Therefore, choice C is the correct answer. Choice A, 0.009%, is incorrect because it represents 0.009, not 0.0009. Choice B, 0.9%, is incorrect as it represents 0.9, which is a different value. Choice D, 9%, is also incorrect as it represents 9, not 0.0009.
5. If Larry can wash 50 cars in 20 minutes, how many minutes will it take him to wash 80 cars?
- A. 20 minutes
- B. 32 minutes
- C. 40 minutes
- D. 60 minutes
Correct answer: B
Rationale: To determine how many minutes it will take Larry to wash 80 cars, we first calculate his rate of washing cars per minute: 50 cars / 20 minutes = 2.5 cars per minute. To wash 80 cars, we divide the total number of cars by the cars washed per minute: 80 cars / 2.5 cars per minute = 32 minutes. Hence, it will take Larry 32 minutes to wash 80 cars. Choices A, C, and D are incorrect as they do not align with the correct calculation based on Larry's rate of washing cars.
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