HESI A2 Math Practice Exam

Correct Answer: D

Rationale: The correct answer is D: 16. A perfect square is a number that can be expressed as the product of an integer multiplied by itself. In this case, 16 is a perfect square because it can be written as 4 x 4. Choices A, B, and C are not perfect squares because they cannot be expressed as the product of an integer multiplied by itself. Thus, 16 is the only number among the choices that fits the definition of a perfect square.

Correct Answer: C

Rationale: To convert 2 teaspoons to milliliters, we need to know that 1 teaspoon is approximately 4.93 milliliters. Therefore, 2 teaspoons would be 2 * 4.93 = 9.86 milliliters. The correct answer is C (9.86 milliliters). Choice A (4.3 milliliters) is incorrect because it is too low based on the conversion factor. Choice B (9 milliliters) is close but not accurate, as the exact conversion gives 9.86 milliliters. Choice D (4 milliliters) is also incorrect as it is lower than the actual conversion.

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 convert inches to feet, divide the number of inches by 12 since there are 12 inches in a foot. 72 inches divided by 12 equals 6 feet. Therefore, the correct answer is B: 6 feet. Choice A (12 feet) is incorrect as it is the conversion of 144 inches, not 72 inches. Choice C (4 feet) and Choice D (17 feet) are also incorrect as they do not accurately represent the conversion of 72 inches to feet.

Correct Answer: C

Rationale: Failed to generate a rationale after 5 retries.