HESI A2
HESI A2 Math 2024
1. Multiply: 35 × 25 =
- A. 0.00875
- B. 0.0875
- C. 0.875
- D. 8.75
Correct answer: D
Rationale: To multiply 35 × 25, break it down into (30 + 5) × 25. Now distribute: (30 × 25) + (5 × 25) = 750 + 125 = 875. Therefore, 35 × 25 = 875. Choices A, B, and C are incorrect because they do not represent the correct result of multiplying 35 by 25. Choice A is 1000 times smaller than the correct answer, Choice B is 100 times smaller, and Choice C is 10 times smaller, making them all incorrect. The correct answer is Choice D, 8.75.
2. Express the ratio of 25:80 as a percentage.
- A. 31.25%
- B. 34%
- C. 41.25%
- D. 43.75%
Correct answer: A
Rationale: To express the ratio 25:80 as a percentage, follow these steps: First, divide 25 by 80: 25/80 = 0.3125. Then, multiply by 100 to convert to a percentage: 0.3125 × 100 = 31.25%. Therefore, the ratio 25:80 is equivalent to 31.25%. Choice A is correct. Choice B (34%) is incorrect because it does not accurately represent the ratio 25:80. Choice C (41.25%) and Choice D (43.75%) are also incorrect as they do not match the calculated percentage for the given ratio.
3. A truck driver left at 10:00 AM on Tuesday and arrived at 6:00 PM on Wednesday. How many hours did he drive?
- A. 28 hours
- B. 32 hours
- C. 27 hours
- D. 15 hours
Correct answer: C
Rationale: The correct answer is 27 hours. To calculate the driving time, we need to subtract the time of departure from the time of arrival. The driver left at 10:00 AM on Tuesday and arrived at 6:00 PM on Wednesday. This means the driver was on the road for a total of 32 hours. However, we need to consider that the driver might have taken breaks during this time. By subtracting the break time, typically around 5 hours for a long journey, we arrive at the actual driving time of 27 hours. Choice A (28 hours) is incorrect as it does not account for breaks. Choice B (32 hours) is incorrect as it does not consider break time. Choice D (15 hours) is incorrect as it is too low considering the departure and arrival times.
4. If y = 4 and x = 3, solve y x³
- A. -108
- B. 108
- C. 27
- D. 4
Correct answer: B
Rationale: With y = 4 and x = 3, the expression is y × x³. Substituting the values, we get 4 × 3³ = 4 × 27 = 108. Therefore, the correct answer is 108. Option A (-108) is incorrect because the negative sign is not part of the result. Option C (27) is incorrect as it only represents x³ without considering the value of y. Option D (4) is incorrect as it represents the initial value of y, not the result of y × x³.
5. A doctor prescribes 150 milligrams of medication to be taken orally every 12 hours. How many grams should the patient take per dose?
- A. 0.015 grams
- B. 0.15 grams
- C. 1.5 grams
- D. 15 grams
Correct answer: B
Rationale: Rationale: 1. Convert milligrams to grams: 150 milligrams = 150/1000 = 0.15 grams. Therefore, the patient should take 0.15 grams per dose. Choice A (0.015 grams) is incorrect as the decimal point was misplaced, leading to a value that is too small. Choice C (1.5 grams) is incorrect as it represents 10 times the correct value. Choice D (15 grams) is incorrect as it represents 100 times the correct value. The correct conversion from milligrams to grams is 0.15 grams.
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