HESI A2 Math Practice

Correct Answer: C

Rationale: To find the area of a circle, we use the formula A = πr^2. Given that the diameter is 6cm, the radius (r) is half of the diameter, which is 3cm. Plugging this into the formula, we get A = π(3)^2 = 9π cm^2. Therefore, the correct answer is C: 27π cm^2. Choices A, B, and D are incorrect because they do not correctly calculate the area based on the given diameter.

Correct Answer: A

Rationale: To convert yards to inches, we use the fact that 1 yard is equal to 36 inches. Therefore, to find how many inches are in 3.5 yards, we multiply 3.5 by 36, which equals 126 inches. Choice A (126 inches) is correct. Choices B, C, and D are incorrect as they do not correctly calculate the conversion from yards to inches. B (144 inches) is the result of multiplying 3.5 by 40 instead of 36. C (132 inches) is the result of multiplying 3.5 by 38. D (120 inches) is the result of multiplying 3.5 by 34.

Correct Answer: B

Rationale: To convert grams to kilograms, we need to divide by 1000 since there are 1000 grams in 1 kilogram. Therefore, 2000 grams divided by 1000 equals 2 kilograms. Choice B is correct. Choices A, C, and D are incorrect as they do not accurately convert 2000 grams to kilograms. A (20 kg) is 10 times the correct answer, C (5 kg) is incorrect as it is half the correct answer, and D (10 kg) is also incorrect as it is 5 times the correct answer.

Correct Answer: C

Rationale: To find the area of a circle, we use the formula A = πr^2. Given that the diameter is 6cm, the radius (r) is half of the diameter, which is 3cm. Plugging this into the formula, we get A = π(3)^2 = 9π cm^2. Therefore, the correct answer is C: 27π cm^2. Choices A, B, and D are incorrect because they do not correctly calculate the area based on the given diameter.

Correct Answer: B

Rationale: To determine the number of nurses needed for 25 patients, we can set up a proportion based on the given information. If 3 nurses can care for 15 patients, then the ratio of nurses to patients is 3:15 or 1:5. To find out how many nurses are needed for 25 patients, we can set up the proportion 1/5 = x/25 and solve for x. Cross multiplying gives us 5x = 25, so x = 25/5 = 5. Therefore, 5 nurses are needed for 25 patients. Choice A (4 nurses) is incorrect because it does not account for the increased number of patients. Choice C (6 nurses) and Choice D (7 nurses) are also incorrect as they overestimate the number of nurses needed based on the given ratio of nurses to patients.