a train leaves the station at 145 pm traveling at a constant speed of 65 mph if it arrives at its destination at 315 pm how many miles did it travel
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HESI A2

Math HESI A2 Practice Test

1. A train leaves the station at 1:45 PM traveling at a constant speed of 65 mph. If it arrives at its destination at 3:15 PM, how many miles did it travel?

Correct answer: A

Rationale: To calculate the distance traveled by the train, multiply the speed (65 mph) by the time it took to reach the destination, which is 1.5 hours (3:15 PM - 1:45 PM = 1.5 hours). Therefore, 65 mph × 1.5 hours = 97.5 miles. This calculation is correct because distance = speed × time. Choices B, C, and D are incorrect as they do not reflect the correct calculation based on the given information.

2. If a dozen roses cost $36, how much will four roses cost?

Correct answer: B

Rationale: To find the cost of each rose, divide the total cost by the number of roses in a dozen: $36 ÷ 12 = $3 per rose. Therefore, 4 roses will cost 4 × $3 = $12. Choice A ($9) is incorrect because it miscalculates the cost per rose. Choice C ($10) is incorrect as it doesn't consider the correct division of the total cost. Choice D ($15) is incorrect as it overestimates the cost of four roses.

3. In your class, there are 48 students; 32 students are female. Approximately what percentage are male?

Correct answer: A

Rationale: In a class of 48 students, with 32 being female, the number of male students is 48 - 32 = 16. To calculate the percentage of male students, divide the number of male students (16) by the total number of students (48) and then multiply by 100 to get the percentage: (16 / 48) * 100 = 33%. Therefore, approximately 33% of the students in the class are male. Choices B, C, and D are incorrect because they do not reflect the correct calculation based on the given information.

4. Convert 7/8 to a decimal.

Correct answer: C

Rationale: To convert the fraction 7/8 to a decimal, you divide the numerator (7) by the denominator (8): 7 ÷ 8 = 0.875. Therefore, the correct decimal representation of the fraction 7/8 is 0.875. Choice A and B, which are both 0.8, are incorrect as they represent 4/5 and not 7/8. Choice D, 0.9, is also incorrect as it represents 9/10 and not 7/8.

5. How many liters are in 300 milliliters?

Correct answer: C

Rationale: To convert milliliters to liters, you need to divide by 1000 since there are 1000 milliliters in 1 liter. Therefore, 300 milliliters ÷ 1000 = 0.3 liters. Choice A, 0.03 liters, is the result of dividing by 10 instead of 1000. Choice B, 3 liters, is the result of multiplying instead of dividing. Choice D, 0.003 liters, is the result of dividing by 1000 twice, which is incorrect.

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