HESI A2
HESI A2 Math Portion
1. An ancient Egyptian pyramid has a square base with side lengths of 20 meters and a remaining height (after erosion) of 10 meters. Its original height was 30 meters. What was the volume of the pyramid in its original state?
- A. 12000 cubic meters
- B. 6000 cubic meters
- C. 18000 cubic meters
- D. 24000 cubic meters
Correct answer: A
Rationale: To find the volume of a pyramid, you can use the formula: Volume = (1/3) * base area * height. In this case, the base area is the square of side length 20 meters, which is 20 * 20 = 400 square meters. The original height of the pyramid is 30 meters. Therefore, the volume of the pyramid in its original state is (1/3) * 400 * 30 = 12000 cubic meters. Choice A is correct. Choices B, C, and D are incorrect as they do not correctly calculate the volume using the original height and base area of the pyramid.
2. A cake recipe calls for 2½ cups of flour. How many cups are needed to make 6 cakes?
- A. 12.5 cups
- B. 13 cups
- C. 14 cups
- D. 15 cups
Correct answer: D
Rationale: To make one cake, you need 2½ cups of flour. To make 6 cakes, you would need 6 times the amount of flour for one cake, which is 2½ x 6 = 15 cups. Therefore, the correct answer is 15 cups. Choices A, B, and C are incorrect as they do not correctly calculate the total amount of flour needed for 6 cakes.
3. A plan for a shed is drawn on a 1:10 scale. If the roof of the real shed measures 4 feet by 5 feet, what were the measurements on the plan?
- A. 80 inches by 100 inches
- B. 40 inches by 50 inches
- C. 4.8 inches by 6 inches
- D. 4 inches by 5 inches
Correct answer: B
Rationale: When the real shed roof measures 4 feet by 5 feet, on a 1:10 scale plan, the measurements on the plan would be 1/10 of the real measurements. Therefore, the correct answer is 40 inches by 50 inches since it represents 1/10 of 4 feet by 5 feet. Choice A (80 inches by 100 inches) is incorrect because it is equivalent to the real shed measurements, not the scaled plan. Choice C (4.8 inches by 6 inches) is incorrect as it does not reflect the 1:10 scale reduction. Choice D (4 inches by 5 inches) is incorrect because it does not consider the scale factor of 1:10.
4. If he left a tip of $36 on a total bill of $200, what percentage of the total bill did he leave as a tip?
- A. 16%
- B. 18%
- C. 20%
- D. 22%
Correct answer: B
Rationale: To determine the tip percentage left, divide the tip amount ($36) by the total bill amount ($200), then multiply the result by 100 to express it as a percentage: (36/200) x 100 = 18%. Therefore, he left an 18% tip on the total bill amount. Choice A (16%) is incorrect because the correct calculation results in 18%. Choice C (20%) and Choice D (22%) are incorrect as they do not match the calculated percentage based on the provided numbers.
5. After spending money on a sandwich, a drink, and a bag of chips, how much money did the man have left from his initial $10?
- A. $1.50
- B. $0.95
- C. $1.90
- D. $2.10
Correct answer: B
Rationale: After spending $6.50 on a sandwich, the man had $3.50 left. Then, after spending $1.80 on a drink, he had $1.70 left. Finally, he spent another $0.75 on a bag of chips. Subtracting $0.75 from $1.70 gives us $0.95, which is the amount of money he had left. Choice A is incorrect because it does not consider the bag of chips he bought. Choice C is incorrect as it miscalculates the remaining amount. Choice D is incorrect as it does not account for the total expenses.
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