HESI A2
HESI A2 Math
1. Train A leaves the station at 1:45 traveling at a constant speed of 65 mph. If it arrives at its destination at 3:15, how many miles did it travel?
- A. 97.5 miles
- B. 75 miles
- C. 100 miles
- D. 130 miles
Correct answer: A
Rationale: Train A traveled for 1.5 hours at a speed of 65 mph. To find the distance traveled, we use the formula Distance = Speed x Time. Distance = 65 mph x 1.5 hours = 97.5 miles. Therefore, the correct answer is 97.5 miles. Choice B (75 miles) is incorrect because it does not account for the full 1.5 hours of travel time. Choice C (100 miles) and Choice D (130 miles) are incorrect as they are not calculated based on the given speed and time.
2. Subtract 15 3/4 - 8 2/5.
- A. 7 7/20
- B. 6 7/20
- C. 9 1/5
- D. 8 2/5
Correct answer: A
Rationale: To subtract mixed numbers, find a common denominator. In this case, the common denominator is 20. Convert 15 3/4 to 15 15/20. Then, subtract 15 15/20 - 8 8/20 = 7 7/20. Therefore, the correct answer is A. Choice B is incorrect as it does not match the result of the subtraction. Choice C is incorrect as it is not the result of the subtraction. Choice D is incorrect as it represents the second number being subtracted, not the result of the subtraction.
3. Subtract 28 3/4 - 5 5/6.
- A. 22 & 11/12
- B. 23 & 1/2
- C. 34 & 1/12
- D. 22 & 2/3
Correct answer: A
Rationale: To subtract mixed numbers, find a common denominator. Convert 28 3/4 to 28 9/12. Then, subtract 5 5/6 from 28 9/12 to get 22 11/12. Therefore, 28 3/4 - 5 5/6 = 22 & 11/12, which matches choice A. Choices B, C, and D are incorrect because they do not reflect the correct subtraction result after finding the common denominator and performing the subtraction.
4. A train travels at 70 mph for 6 hours. How far did it travel?
- A. 490 miles
- B. 490 miles
- C. 540 miles
- D. 420 miles
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.
5. Convert the decimal to a percent: 0.000026
- A. 0.0026%
- B. 0.026%
- C. 2.6%
- D. 26%
Correct answer: A
Rationale: To convert a decimal to a percent, you multiply by 100. In this case, 0.000026 * 100 = 0.0026%. Therefore, the correct answer is A: 0.0026%. Choices B, C, and D are incorrect because they incorrectly place the decimal point, resulting in percentages that are too large.
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