a train travels at 70 mph for 6 hours how far did it travel
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HESI A2

Math HESI A2 Practice Test

1. A train travels at 70 mph for 6 hours. How far did it travel?

Correct answer: D

Rationale: To find the distance traveled, multiply the speed of 70 mph by the time of 6 hours: 70 mph × 6 hours = 420 miles. Therefore, the correct answer is 420 miles. Choices A, B, and C are incorrect as they do not result from the correct calculation.

2. How many inches are in 1.5 yards?

Correct answer: A

Rationale: To convert yards to inches, multiply the number of yards by 36 (since there are 36 inches in a yard). 1.5 yards × 36 inches/yard = 54 inches. Therefore, the correct answer is 54 inches. Choice B, 60 inches, is incorrect as it incorrectly assumes that there are 40 inches in a yard. Choice C, 72 inches, is incorrect as it multiplies 1.5 by 48, which is not the correct conversion factor. Choice D, 84 inches, is incorrect as it multiplies 1.5 by 56, which is not the correct conversion factor.

3. A roast was cooked at 325°F in the oven for 4 hours. The internal temperature rose from 32°F to 145°F. What was the average rise in temperature per hour?

Correct answer: C

Rationale: The temperature increased from 32°F to 145°F, resulting in a total increase of 145°F - 32°F = 113°F. Dividing this total increase by the 4 hours of cooking time gives an average rise of 113°F ÷ 4 = 28.25°F per hour, which can be rounded to 28°F per hour. Therefore, the correct answer is 28. Choice A (20) is incorrect because it does not reflect the actual average rise in temperature per hour. Choice B (32) is incorrect as it does not consider the total temperature increase and divide it by the total hours. Choice D (37°F/hr) is incorrect as it does not match the calculated average rise in temperature per hour.

4. How many kilograms are in 2000 grams?

Correct answer: B

Rationale: To convert grams to kilograms, you need to divide by 1000 since there are 1000 grams in a kilogram. Therefore, 2000 grams is equal to 2 kilograms (2000 grams ÷ 1000 = 2 kilograms). The correct answer is B: 2 kilograms. Choice A, 20 kilograms, is incorrect because multiplying by 10 (not dividing by 1000) would give that result. Choice C, 5 kilograms, and Choice D, 10 kilograms, are also incorrect as they do not correctly convert grams to kilograms.

5. 7:5=91:x. Find x.

Correct answer: A

Rationale: To solve the proportion 7:5=91:x, cross multiply to get 7x = 5 * 91. Then, solve for x by dividing both sides by 7, which gives x = 65. Therefore, the correct answer is x=65. Choice B, x=55, is incorrect because it does not satisfy the proportion equation. Choices C and D, x=75 and x=85, are also incorrect as they do not match the calculated value of x when the proportion is solved.

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