HESI A2
HESI A2 Math 2024
1. Divide: 5,117 ÷ 31 =
- A. 109 r3
- B. 115 r14
- C. 133 r5
- D. 165 r2
Correct answer: D
Rationale: When dividing 5,117 by 31, the quotient is 165 with a remainder of 2. The correct answer is 165 r2. Choices A, B, and C are incorrect as they do not reflect the correct division result. Choice A is close but has the wrong remainder. Choices B and C have incorrect quotients and remainders, making them inaccurate. Therefore, the correct answer is D, 165 r2.
2. What is the volume of an Egyptian model pyramid with a square base side length of 10cm and a height of 8cm?
- A. 20 cu cm
- B. 40 cu cm
- C. 80 cu cm
- D. 160 cu cm
Correct answer: D
Rationale: To find the volume of a pyramid, we use the formula: Volume = (1/3) * base area * height. First, calculate the base area by squaring the base side length: 10cm * 10cm = 100 sq cm. Substitute the values into the formula: Volume = (1/3) * 100 sq cm * 8cm = 80 cu cm. Therefore, the correct answer is 160 cu cm. Choices A, B, and C are incorrect because they do not correctly calculate the volume of the pyramid based on the given dimensions.
3. Subtract 32 divided by 8\9.
- A. 36
- B. 32
- C. 40
- D. 44
Correct answer: A
Rationale: 32 ÷ (8\9) is the same as 32 × (9\8) = 36.
4. At a comic book store, Robert purchased three comics for $2.65 each. If he paid with a $20 bill, how much change did he receive?
- A. $12.05
- B. $11.05
- C. $10.00
- D. $13.50
Correct answer: A
Rationale: Robert spent a total of $7.95 on three comics ($2.65 each). When he paid with a $20 bill, the change he received can be calculated by subtracting the total cost from the payment amount: $20 - $7.95 = $12.05. Therefore, Robert received $12.05 in change. Choice B ($11.05) is incorrect because it doesn't reflect the correct calculation. Choice C ($10.00) is incorrect as it doesn't consider the total cost of the comics. Choice D ($13.50) is incorrect as it overestimates the change Robert received.
5. A plan for a barn is drawn on a 1:30 scale. If the width of a barn door on the plan measures 3 inches, what is the actual width of the finished door?
- A. 90 inches
- B. 10 feet
- C. 9 feet
- D. 7.5 feet
Correct answer: B
Rationale: The scale of 1:30 means that 1 inch on the plan represents 30 inches in actual size. If the width of the barn door on the plan is 3 inches, the actual width is calculated by multiplying 3 inches by the scale factor (30), giving 90 inches. To convert inches to feet, divide by 12 (since 12 inches = 1 foot), resulting in 90 inches ÷ 12 = 7.5 feet. Therefore, the correct answer is 10 feet (option B), not 7.5 feet. Option A (90 inches) is the result before converting to feet, option C (9 feet) is the incorrect conversion if the initial calculation was done correctly, and option D (7.5 feet) is the incorrect conversion of the initial calculation.
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