HESI A2
Math HESI A2 Practice Test
1. A teacher's aide is preparing a snack for the class. In order to prepare the powdered drink, the aide must convert the directions to metric. The directions say, 'Dilute contents of package in 3 quarts of water.' The aide has a measuring device marked in liters. How many liters of water should be used?
- A. 3.0 liters
- B. 2.8 liters
- C. 2.5 liters
- D. 3.5 liters
Correct answer: B
Rationale: 3 quarts is approximately 2.8 liters. To convert quarts to liters, multiply the number of quarts by 0.946353. Therefore, the correct answer is 2.8 liters. Choice A (3.0 liters) is incorrect as it does not accurately convert 3 quarts to liters. Choice C (2.5 liters) is incorrect as it is less than the correct conversion. Choice D (3.5 liters) is incorrect as it is more than the correct conversion.
2. How many milliliters are in 5 liters?
- A. 5000 milliliters
- B. 50 milliliters
- C. 500 milliliters
- D. 0.5 milliliters
Correct answer: A
Rationale: To convert liters to milliliters, remember there are 1,000 milliliters in a liter. So, to find how many milliliters are in 5 liters, you multiply 5 (liters) by 1,000 (milliliters per liter), which equals 5,000 milliliters. Choice A is correct as it converts 5 liters to milliliters accurately. Choice B, 50 milliliters, is incorrect as it mistakenly converts liters to milliliters by a factor of 100 instead of 1,000. Choice C, 500 milliliters, is incorrect as it also wrongly converts liters to milliliters by a factor of 10 instead of 1,000. Choice D, 0.5 milliliters, is incorrect as it inaccurately converts 5 liters to 0.5 milliliters, which is not correct.
3. Which of the following percentages is equal to 0.45?
- A. 4.5%
- B. 0.045%
- C. 0.45%
- D. 45%
Correct answer: D
Rationale: To convert 0.45 to a percentage, you multiply by 100: 0.45 × 100 = 45%. Therefore, the correct answer is D. 45%. Choice A, 4.5%, is incorrect. This percentage would be equal to 0.045, not 0.45. Choice B, 0.045%, is also incorrect. It represents 0.045, not 0.45. Choice C, 0.45%, is very close to the correct answer but actually represents 0.0045, not 0.45.
4. Solve: 8x = x^2.
- A. 6
- B. 4
- C. 16
- D. 14
Correct answer: C
Rationale: To solve the equation 8x = x^2, rearrange it to x^2 - 8x = 0. Factor out an x to get x(x - 8) = 0. Set each factor to zero to find the solutions: x = 0 or x = 8. Therefore, x = 16 is the correct answer because x = 0 is not in the answer choices, and x = 8 is a distraction meant to confuse. Thus, choice C, 16, is the correct solution to the equation.
5. 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.
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