HESI A2
HESI A2 Math 2024
1. A solution is 60% alcohol. If 200ml of the solution is used, how much pure alcohol is present?
- A. 100ml
- B. 120ml
- C. 140ml
- D. 160ml
Correct answer: B
Rationale: If the solution is 60% alcohol, it means that 60% of the solution is alcohol. Therefore, in 200ml of the solution, the amount of alcohol present is: 200ml * 60% = 200ml * 0.60 = 120ml. So, when 200ml of the solution is used, there are 120ml of pure alcohol present. Choice A, 100ml, is incorrect because it does not account for the correct percentage of alcohol in the solution. Choice C, 140ml, and Choice D, 160ml, are incorrect as they overestimate the amount of pure alcohol present in the solution.
2. 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.
3. How many centimeters are there in 1 foot?
- A. 4.72 centimeters
- B. 10 centimeters
- C. 25.4 centimeters
- D. 30.48 centimeters
Correct answer: D
Rationale: To convert feet to centimeters, you need to consider that there are 2.54 centimeters in an inch. Since a foot is equal to 12 inches, you multiply 12 inches by 2.54 to get 30.48 centimeters. Therefore, there are 30.48 centimeters in 1 foot. Choice A (4.72 centimeters) is incorrect as it does not use the correct conversion factor. Choice B (10 centimeters) is incorrect as it is not the accurate conversion for 1 foot. Choice C (25.4 centimeters) is incorrect as it corresponds to 10 inches, not 1 foot.
4. If a party planner assumes 2 bottles of sparkling water per 5 guests, how many bottles must she purchase for a party of 145 guests?
- A. 27
- B. 36
- C. 49
- D. 58
Correct answer: D
Rationale: If the party planner assumes 2 bottles of sparkling water per 5 guests, for a party of 145 guests, she would need ((2/5) x 145) bottles of sparkling water. This calculation results in 58 bottles. Therefore, she must purchase 58 bottles for the party of 145 guests. Choices A, B, and C are incorrect as they do not reflect the correct calculation based on the given assumption.
5. If Latoya spends 15 minutes every day practicing her flute, how much time does she spend practicing over a period of two weeks?
- A. 1 hour 45 minutes
- B. 2 hours 30 minutes
- C. 3 hours 30 minutes
- D. 3 hours 45 minutes
Correct answer: C
Rationale: Latoya practices her flute for 15 minutes every day. In two weeks (14 days), the total time spent practicing can be calculated as 15 minutes/day * 14 days = 210 minutes. To convert 210 minutes to hours, divide by 60 (since there are 60 minutes in an hour): 210 / 60 = 3 hours 30 minutes. Therefore, Latoya spends 3 hours 30 minutes practicing her flute over a period of two weeks. Choices A, B, and D are incorrect because they do not accurately calculate the total time Latoya spends practicing over two weeks.
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