HESI A2 Math Practice Exam

Correct Answer: D

Rationale: To find the average of a set of numbers, you add them up and then divide by the total number of values. In this case, 14 + 73 + 7 = 94. Then, 94 divided by 3 (total numbers) gives 31.33. Therefore, choice D is correct. Choices A, B, and C are incorrect because they do not correctly calculate the average of the given numbers. A, B, and C are calculated as 14 + 73 + 7 divided by 3, which leads to incorrect averages.

Correct Answer: C

Rationale: The correct answer is C: 30.48 cm. The conversion factor for feet to centimeters is 1 foot = 30.48 cm. To convert feet to centimeters, you multiply the number of feet by 30.48. Therefore, there are 30.48 cm in a foot. Choice A (30 cm) and Choice B (31.5 cm) are incorrect because they do not accurately represent the conversion factor from feet to centimeters. Choice D (35 cm) is also incorrect because it is not the standard conversion factor for feet to centimeters. Be sure to use the correct conversion factor of 30.48 cm when converting between feet and centimeters.

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: B

Rationale: To calculate the volume needed, use the formula: Volume (ml) = Required dose (units) / Concentration (U/ml). In this case, Volume = 3,000 units / 5,000 U/ml = 0.6 ml. Therefore, the correct answer is B (0.6 ml). Choice A is incorrect because it underestimates the volume needed. Choices C and D are incorrect as they overestimate the volume required based on the calculation.

Correct Answer: A

Rationale: Failed to generate a rationale after 5 retries.