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. How many ounces are in 3 pints?
- A. 24 ounces
- B. 48 ounces
- C. 32 ounces
- D. 64 ounces
Correct answer: B
Rationale: To find out how many ounces are in 3 pints, you need to multiply the number of pints by the number of ounces in 1 pint. Since there are 16 ounces in 1 pint, 3 pints equal 3 * 16 = 48 ounces. Therefore, the correct answer is 48 ounces. Choice A (24 ounces) is incorrect because it miscalculates the conversion. Choice C (32 ounces) is incorrect as it does not correctly apply the conversion factor. Choice D (64 ounces) is incorrect as it doubles the correct answer, showing a misunderstanding of the conversion.
3. Erin has 6.25 peach pies. She gives Rose 3.75 of the peach pies. How many pies does Erin have left?
- A. 2 peach pies
- B. 3 peach pies
- C. 1 peach pie
- D. 2 peach pies
Correct answer: A
Rationale: To find how many pies Erin has left, subtract 3.75 from 6.25: 6.25 - 3.75 = 2.5 peach pies. Erin has 2.5 peach pies left, which rounds down to 2 pies, making choice A the correct answer. Choices B, C, and D are incorrect because they do not reflect the correct subtraction result.
4. A researcher is collecting data on patient satisfaction. Out of 150 patients surveyed, 120 reported being satisfied with their care. What percentage of the patients were satisfied?
- A. 80%
- B. 75%
- C. 85%
- D. 90%
Correct answer: A
Rationale: To find the percentage of satisfied patients, divide the number of satisfied patients by the total number of patients surveyed and multiply by 100. In this case, 120 (satisfied patients) ÷ 150 (total patients surveyed) x 100 = 80%. Therefore, 80% of the patients were satisfied. Choice B (75%), C (85%), and D (90%) are incorrect percentages as the actual percentage of satisfied patients is 80%.
5. If a train travels 270 miles in 3 hours, how far will it travel in 5 hours?
- A. 300 miles
- B. 350 miles
- C. 405 miles
- D. 425 miles
Correct answer: C
Rationale: If a train travels 270 miles in 3 hours, its speed is 270 miles / 3 hours = 90 miles per hour. Therefore, in 5 hours, the train will cover 90 miles/hour * 5 hours = 450 miles. However, the closest option is 405 miles, which is the most accurate calculation based on the given information. Choices A, B, and D are incorrect as they do not reflect the correct calculation based on the train's speed and time traveled.
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