HESI A2
HESI A2 Math Practice
1. If 3 nurses can care for 15 patients, how many nurses are needed for 25 patients?
- A. 4
- B. 5
- C. 6
- D. 7
Correct answer: B
Rationale: To determine how many nurses are needed for 25 patients, set up a proportion: 3 nurses / 15 patients = x nurses / 25 patients. Cross multiply to solve for x: 3 * 25 = 15 * x. This simplifies to 75 = 15x. Divide both sides by 15 to find x = 5. Therefore, 5 nurses are needed for 25 patients. Choices A, C, and D are incorrect as they do not correspond to the correct calculation based on the given proportion.
2. What is 25% of 200?
- A. 50
- B. 60
- C. 25
- D. 30
Correct answer: A
Rationale: To find 25% of a number, you multiply the number by 0.25. So, to calculate 25% of 200, you do 0.25 × 200 = 50. Therefore, the correct answer is A. Choice B (60) is incorrect as it is the result of calculating 30% of 200. Choice C (25) is incorrect as it represents 12.5% of 200. Choice D (30) is incorrect as it is the result of calculating 15% of 200.
3. If his distribution cost is $10, what will be his profit?
- A. $10.40
- B. $19.60
- C. $14.90
- D. $23.40
Correct answer: B
Rationale: To calculate profit, we subtract the total distribution cost from the revenue. Given that the revenue is $30, the calculation is as follows: Profit = Revenue - Distribution Cost. Therefore, Profit = $30 - $10 = $20. Hence, the profit will be $19.60. Choice A is incorrect as it incorrectly adds the distribution cost to the revenue. Choice C is incorrect as it does not consider the distribution cost. Choice D is incorrect as it overestimates the profit by adding the distribution cost again to the correct profit amount.
4. If blank CDs cost 36 cents for two, how much does it cost to buy 10 blank CDs?
- A. $0.90
- B. $1.35
- C. $1.80
- D. $3.60
Correct answer: C
Rationale: If two blank CDs cost 36 cents, each blank CD costs 18 cents (36 cents / 2). To find the cost of 10 blank CDs, you multiply the cost of one CD by the total number of CDs: 18 cents x 10 = $1.80. Therefore, it would cost $1.80 to buy 10 blank CDs. Choice A ($0.90) is incorrect because it miscalculates the cost per CD. Choice B ($1.35) is incorrect as it doesn't consider the total number of CDs. Choice D ($3.60) is incorrect as it miscalculates the cost of one CD.
5. A train travels at 65 mph for 1.5 hours. How far did it travel?
- A. 97.5 miles
- B. 95 miles
- C. 100 miles
- D. 100.5 miles
Correct answer: A
Rationale: To find the distance traveled, multiply the speed of the train (65 mph) by the time it traveled (1.5 hours): 65 mph × 1.5 hours = 97.5 miles. Therefore, the train traveled 97.5 miles. Choice B, 95 miles, is incorrect as it does not account for the correct calculation. Choice C, 100 miles, is incorrect as it is a rounded-up value. Choice D, 100.5 miles, is incorrect as it is a miscalculation.
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