HESI A2 Math Practice Exam

Correct Answer: A

Rationale: Failed to generate a rationale after 5 retries.

Correct Answer: A

Rationale: To convert meters to centimeters, we use the conversion factor: 1 meter = 100 centimeters. Therefore, to convert 6 meters to centimeters, we multiply 6 by 100, which equals 600 cm. So, the correct answer is A: 600 cm. Choice B (60 cm) is incorrect as it incorrectly multiplies by 10 instead of 100. Choice C (1000 cm) is incorrect as it multiplies by 1000 instead of 100. Choice D (500 cm) is incorrect as it is a random number not derived from the correct conversion factor.

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: A

Rationale: To find the total days off work, we add Bill's remaining vacation days (5.5) and sick days (3.25). 5.5 + 3.25 = 8.75 Therefore, Bill will have 8.75 days off work if he uses all of his remaining vacation and sick days. Choice A (8.75) is correct because it accurately represents the total days off. Choices B, C, and D are incorrect as they do not correctly calculate the total days off based on the given information.

Correct Answer: A

Rationale: To convert 7/8 into a decimal, you simply divide the numerator (7) by the denominator (8), which equals 0.875. To convert to a percent, you multiply the decimal by 100, resulting in 87.5%. Choice A is correct as it correctly represents the decimal and percent equivalents of 7/8. Choices B, C, and D are incorrect because they provide inaccurate decimal and percent conversions that do not match the correct calculations for 7/8.