HESI A2 Math Practice Test 2023

Correct Answer: A

Rationale: The correct answer is A: 1/6. The probability of getting a 1 on a six-sided die is calculated by dividing the number of favorable outcomes (rolling a 1) by the total number of possible outcomes (6 sides on the die). Since there is only 1 side with a 1, the probability is 1/6. Choice B (1/4) is incorrect as it represents the probability of rolling a 1 on a four-sided die, which only has 4 sides. Choice C (1/3) is incorrect as it represents the probability of rolling a 1 on a three-sided die, which is not a standard die. Choice D (1/2) is incorrect as it represents the probability of rolling a 1 on a two-sided die, which is not a standard die.

Correct Answer: C

Rationale: To find the total number of pages in the book, we multiply the number of chapters by the number of pages per chapter: 2 chapters/day * 6 pages/chapter = 12 pages/day. To finish 798 pages, we divide 798 pages by 12 pages/day, giving 66.5 days. Therefore, the correct answer is C: 66.5 days. Choice A (133 days) is incorrect because it assumes the man reads 1 chapter per day instead of 2. Choice B (399 days) is incorrect as it overestimates the number of days needed by assuming the man reads only 1 page per day. Choice D (75 days) is incorrect because it underestimates the time needed by assuming the man reads 3 chapters per day instead of 2.

Correct Answer: A

Rationale: To subtract mixed numbers, first convert them to improper fractions. 12 1/8 = 97/8 and 9 1/2 = 19/2. Then, subtract the fractions: 97/8 - 19/2 = 97/8 - 38/8 = 59/8. Finally, convert the result back to a mixed number: 59/8 = 7 3/8. Therefore, the correct answer is A: 2 5/8. Choices B, C, and D are incorrect because they do not match the result of the subtraction calculation.

Correct Answer: B

Rationale: To determine the number of nurses needed for 40 patients: 1. Calculate the nurse-to-patient ratio: 5 nurses for 20 patients = 1 nurse for 4 patients. 2. Divide 40 patients by the ratio (40 patients ÷ 4 patients/nurse) = 10 nurses. Therefore, 10 nurses are needed for 40 patients. Choice B (8) is incorrect as it does not align with the calculated ratio. Choices A (7) and C (9) are also incorrect as they do not account for the correct calculation based on the given ratio.

Correct Answer: C

Rationale: To find the volume of a cone, we use the formula V = (1/3)πr^2h. Plugging in the values, V = (1/3)π(5)^2(12) = 100π ≈ 314.16 cu cm. Therefore, the correct answer is C (150 cu cm), as it is the closest option to the calculated volume. Option A is too small, B is slightly larger, and D is too large compared to the actual volume.