HESI A2 Math Practice Exam

Correct Answer: C

Rationale: To solve 32 divided by 8/9, we convert the division to multiplication by taking the reciprocal of 8/9, which is 9/8. So, 32 ÷ 8/9 becomes 32 x 9/8. Multiply numerators (32 x 9 = 288) and denominators (8) to get 288/8 = 36. Therefore, the correct answer is C: 36. Explanation for other choices: A: 4 & 1/9 - Incorrect because the result is a whole number, not a mixed number. B: 4 - Incorrect as it does not account for the fraction involved in the division. D: 28 & 4/9 - Incorrect as it is not the result of the division calculation.

Correct Answer: C

Rationale: The correct answer is C: 275 cu cm. Rationale: 1. Calculate the volume of the half cylinder: V_cylinder = (1/2) * π * r^2 * h = (1/2) * π * (5)^2 * 8 = 100π cu cm. 2. Calculate the volume of the cube: V_cube = s^3 = 5^3 = 125 cu cm. 3. Total volume = V_cylinder + V_cube = 100π + 125 = 275 cu cm. Summary: - Choice A (125 cu cm) is the volume of just the cube, not considering the half cylinder. - Choice B (200 cu cm) doesn't account for the correct calculation of the half cylinder's volume. - Choice D (350 cu cm) is the sum of the volumes of the half cylinder and the cube, which is incorrect as it overestimates the total volume.

Correct Answer: C

Rationale: Failed to generate a rationale after 5 retries.

Correct Answer: A

Rationale: To find the number of days to use 500 labels, first calculate the total labels used daily: 25 boxes/day * 3 labels/box = 75 labels/day. Then, divide the total labels (500) by labels used per day (75): 500 / 75 = 6.67 days. Since we need to round to the nearest whole number, it will take 7 days (Answer A) to use up the inventory. Choice B is incorrect as it doesn't account for rounding. Choice C is incorrect as it overestimates the number of days. Choice D is incorrect as it underestimates the number of days.

Correct Answer: B

Rationale: To convert pints to ounces, we know that 1 pint is equal to 16 ounces. Therefore, 3 pints would be 3 x 16 = 48 ounces. This makes choice B the correct answer. Choice A (24 ounces) is incorrect as it represents only 1 pint, not 3. Choice C (32 ounces) and choice D (64 ounces) are also incorrect as they do not accurately reflect the conversion of pints to ounces.