HESI A2 Practice Test Math

Correct Answer: C

Rationale: The correct answer is C: 2700 cu cm. To calculate the volume of a hemispherical bowl, we use the formula V = (2/3)πr³, where r is the radius. Given the diameter of 30cm, the radius is 15cm. Plugging in the values, V = (2/3)π(15)³ = (2/3)π(3375) = 2250π ≈ 7070.78 cu cm. Since the volume of a hemisphere is half of a sphere, we divide by 2 to get 3535.39 cu cm. However, the question asks for the volume of the bowl, not the hemisphere. Since the bowl has an open top, the volume will be double the volume of the hemisphere, giving us 7070.78 cu cm. Therefore, the correct answer is 2700 cu cm (half of the total volume). Choices A, B, and D

Correct Answer: B

Rationale: The correct answer is B: 5.3 hours. To calculate the total time taken, we sum up 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 correct answer because it accounts for the time taken for each segment of the 24-mile course. Choice A: 5 hours is incorrect because it does not include the time taken for the last 6 miles. Choice C: 4 hours is incorrect as it is the time taken for only the first 18 miles, excluding the final 6 miles. Choice D: 6 hours is incorrect as it overestimates the total time taken by including additional time not accounted for in the question.

Correct Answer: A

Rationale: To subtract mixed numbers, convert them to improper fractions. 3 4/5 = 19/5 and 7 7/10 = 77/10. Subtracting gives 19/5 - 77/10 = 38/10 - 77/10 = -39/10. Convert back to a mixed number: -39/10 = -3 9/10 (choice A). Other choices are incorrect as they do not match the correct result.

Correct Answer: A

Rationale: Failed to generate a rationale after 5 retries.

Correct Answer: C

Rationale: To find x, we can use the property of proportionality. The given equation can be rewritten as 120/x = 40/0.5. Simplifying, we get 120/x = 80. Cross multiplying gives 120 = 80x. Dividing both sides by 80, we find x = 120/80 = 1. Therefore, the correct answer is C. Choice A (60) is incorrect because the calculation does not yield the correct value of x. Choice B (0) is incorrect as dividing by 0 is undefined. Choice D (25) is incorrect as it does not match the calculation for x in the given equation.