a train takes 15 hours at a constant speed of 65 mph to arrive at the destination how many miles did the train travel
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HESI A2

HESI A2 Math Practice Test 2023

1. A train takes 1.5 hours at a constant speed of 65 mph to arrive at the destination. How many miles did the train travel?

Correct answer: A

Rationale: To calculate the distance traveled, multiply the speed by the time taken: 65 mph × 1.5 hours = 97.5 miles. Therefore, the correct answer is A. Choice B (100 miles) is incorrect as it results from rounding up, which is not necessary. Choice C (98 miles) and Choice D (95 miles) are incorrect as they do not reflect the correct calculation based on the given speed and time.

2. Lulu is 5 years younger than her sister, who is 7 years older than their 15-year-old cousin. How old is Lulu?

Correct answer: C

Rationale: Let Lulu's sister's age be x. According to the given information, x = 15 (cousin's age) + 7 = 22. So, Lulu's sister is 22 years old. Since Lulu is 5 years younger than her sister, Lulu's age is 22 - 5 = 17. Therefore, Lulu is 17 years old. Choices A, B, and D are incorrect because they do not correspond to the calculations based on the information provided in the question.

3. A woman received a bottle of perfume as a present. The bottle contains ½ oz of perfume. How many milliliters is this?

Correct answer: B

Rationale: To convert ounces to milliliters, we know that 1 ounce is approximately 30 mL. Therefore, 0.5 ounces would be half of that, which is 15 mL. So, 0.5 oz of perfume is equal to 15 mL. Choice A (10 mL), Choice C (20 mL), and Choice D (25 mL) are incorrect as they do not reflect the accurate conversion from ounces to milliliters.

4. What is the probability of rolling an even number on a six-sided die?

Correct answer: A

Rationale: The correct answer is A, 50%. A standard six-sided die has three even numbers (2, 4, 6) out of six possible outcomes. The probability of rolling an even number is therefore 3 out of 6, which simplifies to 50%. Choices B, C, and D are incorrect because they do not accurately reflect the probability of rolling an even number on a six-sided die.

5. Solve for x: 7:42 :: 4:x

Correct answer: B

Rationale: To solve this proportion, set up the equation: 7/42 = 4/x. Cross-multiply to get 7x = 168. Solve for x by dividing both sides by 7, yielding x = 24. Therefore, the correct answer is 24. Choice A (16), Choice C (48), and Choice D (12) are incorrect as they do not satisfy the proportion 7:42 :: 4:x.

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