HESI A2
HESI A2 Math
1. Two buildings in downtown Chicago stand across the river. The first building is 1,700 feet tall and casts a shadow of 525 feet. If the second building is 1,450 feet tall, how long will its shadow be?
- A. 478 feet
- B. 455 feet
- C. 448.5 feet
- D. 450 feet
Correct answer: C
Rationale: To find the shadow of the second building, we use the ratio of heights to shadows: 1,700/525 = 1,450/x. Solving for x gives x = (525 × 1,450)/1,700 = 448.5. Therefore, the shadow of the second building will be approximately 448.5 feet long. Choice A (478 feet) is incorrect because it is not the result of the correct calculation. Choice B (455 feet) is incorrect as it does not match the accurate answer obtained through the calculation. Choice D (450 feet) is incorrect as it does not reflect the correct length of the shadow of the second building.
2. If 9 out of 75 band members missed practice, what percentage of band members missed practice?
- A. 10%
- B. 12%
- C. 15%
- D. 18%
Correct answer: B
Rationale: To calculate the percentage of band members who missed practice, divide the number of members who missed practice (9) by the total number of band members (75) and multiply by 100. (9/75) * 100 = 12%. Therefore, 12% of the band members missed practice. Choice A (10%) is incorrect because it is not the correct calculation result. Choices C (15%) and D (18%) are also incorrect as they do not reflect the accurate percentage of band members who missed practice.
3. There are 225 pieces of candy in a large jar. Ben wants to give the 25 campers in his group an equal amount of candy. How many pieces of candy will each camper receive?
- A. 9 pieces
- B. 7 pieces
- C. 8 pieces
- D. 6 pieces
Correct answer: A
Rationale: To determine how many pieces of candy each camper will receive, divide the total number of pieces of candy (225) by the number of campers (25): 225 ÷ 25 = 9 pieces per camper. Therefore, each camper will receive 9 pieces of candy to ensure they all get an equal amount. Choice B, 7 pieces, is incorrect because the total number of candy pieces divided equally among 25 campers results in 9 pieces per camper, not 7. Choice C, 8 pieces, and choice D, 6 pieces, are also incorrect as they do not accurately reflect the division of 225 pieces of candy among 25 campers.
4. The price dropped from $200 to $150. By what percentage did the price decrease?
- A. 5%
- B. 10%
- C. 20%
- D. 25%
Correct answer: D
Rationale: The difference between the original price ($200) and the new price ($150) is $50. To find the percentage decrease, divide the difference by the original price and multiply by 100: ($50 / $200) × 100 = 25%. Therefore, the correct answer is D, meaning the price decreased by 25%. Choices A, B, and C are incorrect as they do not accurately represent the percentage decrease in price.
5. A train travels at a constant speed of 60 mph for 2 hours. How many miles did the train travel?
- A. 120 miles
- B. 180 miles
- C. 100 miles
- D. 240 miles
Correct answer: A
Rationale: To determine the distance traveled by the train, you multiply the speed by the time: 60 mph × 2 hours = 120 miles. Therefore, the correct answer is 120 miles. Choice B, 180 miles, is incorrect as it results from multiplying the speed by 3 hours instead of 2. Choice C, 100 miles, is incorrect as it results from multiplying the speed by 1.5 hours. Choice D, 240 miles, is incorrect as it results from multiplying the speed by 4 hours instead of 2.
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