HESI A2
HESI A2 Math Practice Exam
1. A baseball team won 72 games. This was 90% of the games it played. How many games did it play?
- A. 75
- B. 80
- C. 85
- D. 100
Correct answer: B
Rationale: Let the total number of games be x. If the team won 72 games, which is 90% of the total games played, we can set up the equation: 72 = 0.90 * x. To find x, divide 72 by 0.90: x = 72 / 0.90 = 80 games. Therefore, the baseball team played 80 games in total. Choice A, 75, is incorrect because it is less than 80. Choice C, 85, is incorrect as it is more than 80. Choice D, 100, is incorrect as it is significantly more than the calculated total of 80 games.
2. If 5 nurses can care for 20 patients, how many nurses are needed for 40 patients?
- A. 7
- B. 8
- C. 9
- D. 10
Correct answer: B
Rationale: If 5 nurses can care for 20 patients, it means each nurse is responsible for 20/5 = 4 patients. To care for 40 patients, we divide the total patients by the number of patients each nurse can care for: 40/4 = 10 nurses. Therefore, 10 nurses are needed for 40 patients. Among the options, the closest number is 8 nurses, making it the correct answer. Choice A, 7 nurses, is insufficient. Choice C, 9 nurses, exceeds the required amount. Choice D, 10 nurses, matches the total number of nurses required, not the closest, making it incorrect.
3. Solve for x: 2x - 7 = 9.
- A. x = 10
- B. x = 7
- C. x = 8
- D. x = 5
Correct answer: C
Rationale: To solve the equation 2x - 7 = 9, first, add 7 to both sides to isolate the variable: 2x = 16. Then, divide by 2 to solve for x: x = 8. Choice A (x = 10) is incorrect because the solution is x = 8, not 10. Choice B (x = 7) is incorrect as it does not correctly solve the equation. Choice D (x = 5) is incorrect as it does not yield the correct solution for x.
4. 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.
5. If John buys 3 bags of chips for $4.50, how much will it cost John to buy five bags of chips?
- A. $7.50
- B. $6.00
- C. $5.00
- D. $4.00
Correct answer: A
Rationale: If 3 bags of chips cost $4.50, then the cost per bag is $4.50/3 = $1.50. To buy five bags, John would need to pay 5 bags * $1.50 = $7.50. Therefore, it will cost John $7.50 to buy five bags of chips. The other choices are incorrect because they do not accurately calculate the total cost based on the given information.
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