HESI A2 Math Practice Test 2023

Correct Answer: B

Rationale: To determine the number of nurses needed for 40 patients: 1. Calculate the nurse-to-patient ratio: 5 nurses for 20 patients = 1 nurse for 4 patients. 2. Divide 40 patients by the ratio (40 patients ÷ 4 patients/nurse) = 10 nurses. Therefore, 10 nurses are needed for 40 patients. Choice B (8) is incorrect as it does not align with the calculated ratio. Choices A (7) and C (9) are also incorrect as they do not account for the correct calculation based on the given ratio.

Correct Answer: A

Rationale: To convert yards to inches, you need to know that 1 yard is equal to 36 inches. Therefore, 1.5 yards is 1.5 x 36 = 54 inches. The correct answer is A (54 inches). Choice B (60 inches) is incorrect because it does not accurately convert 1.5 yards to inches. Choices C (72 inches) and D (84 inches) are also incorrect as they do not reflect the correct conversion.

Correct Answer: A

Rationale: The correct answer is A: 5.3 hours. To calculate the total time taken, add the time taken for each set of 6 miles: 1 hour + 1.2 hours + 1.5 hours + 1.6 hours = 5.3 hours. This is the total time taken by the female to complete the 24-mile course. Choice B (4.5 hours) is incorrect because it does not account for the increasing time taken for each set of 6 miles. Choice C (6 hours) is incorrect as it assumes each set of 6 miles took the same amount of time, which is not the case. Choice D (7 hours) is incorrect as it overestimates the total time taken.

Correct Answer: A

Rationale: To solve the equation 5x + 10 = 20, first subtract 10 from both sides to isolate the variable: 5x = 10. Then, divide by 5 on both sides to solve for x: x = 2. Therefore, the correct answer is A (4) because x = 2 satisfies the original equation. Choices B, C, and D are incorrect as they do not yield a solution that satisfies the equation.

Correct Answer: C

Rationale: To subtract 20.7 from 13.4, we need to borrow since we cannot subtract a larger number from a smaller one. So, borrowing from the tens place, we get 13.4 as 12.14. Then, subtracting 12.14 from 20.7 gives us 8.56. Rounding off to one decimal place, we get 8.6, which is closest to choice C: 7.3. Hence, the correct answer is C. Choice A, 7.1, is incorrect as it is not close to the calculated result. Choices B and D are also incorrect as they are not close to the rounded off result.