HESI A2 Math Practice Exam

Questions 63

HESI A2

HESI A2 Test Bank

HESI A2 Math Practice Exam Questions

Question 1 of 5

A farmer wants to plant trees at the outside boundaries of his rectangular field with dimensions 650 meters 780 meters. Each tree requires 5 meters of free space all around it from the stem. How much free area will be left?

Correct Answer: A

Rationale: Failed to generate a rationale after 5 retries.

Question 2 of 5

How many centimeters are in 6 meters?

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.

Question 3 of 5

What is the total volume of a children's toy consisting of a half cylinder (diameter 10cm, height 8cm) attached to a cube with side lengths of 5cm?

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.

Question 4 of 5

If Bill has 5.5 vacation days left for the rest of the year and 3.25 sick days left, how many days will he have off work if he uses all of this time?

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.

Question 5 of 5

Convert the fraction 7/8 into a decimal and percent.

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.

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