HESI A2
HESI A2 Math
1. If Alice consumes twice as many calories as Claire, and Claire consumes 2,500 calories a day, how many calories does Alice consume per week?
- A. 17,500
- B. 15,000
- C. 22,500
- D. 35,000
Correct answer: D
Rationale: If Claire consumes 2,500 calories a day, Alice, consuming twice as many calories as Claire, would consume 2 * 2,500 = 5,000 calories per day. To find out how many calories Alice consumes per week, we multiply her daily consumption by 7 (days in a week): 5,000 * 7 = 35,000 calories. Therefore, Alice consumes 35,000 calories per week. Choices A, B, and C are incorrect because they do not account for Alice consuming twice as many calories as Claire.
2. How many kilograms are in 2000 grams?
- A. 20 kilograms
- B. 2 kilograms
- C. 5 kilograms
- D. 10 kilograms
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.
3. 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?
- A. 97.5 miles
- B. 100 miles
- C. 98 miles
- D. 95 miles
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.
4. Solve for x: 3x + 2 = 14
- A. x = 4
- B. x = 2
- C. x = 6
- D. x = 3
Correct answer: A
Rationale: To solve the equation 3x + 2 = 14, first, subtract 2 from both sides to isolate 3x: 3x = 12. Then, divide by 3 to solve for x: x = 4. Therefore, the correct answer is A, x = 4. Choice B, x = 2, is incorrect because it does not satisfy the equation. Choice C, x = 6, is incorrect as well since it does not satisfy the equation. Choice D, x = 3, is also incorrect as it does not satisfy the given equation.
5. A marathon runner is training for her next race. On her weekly weekend run she completes 21.4 miles and burns 2276 calories. What is her rate of calories burned per mile?
- A. 106.4
- B. 105.6
- C. 107.5
- D. 109.3
Correct answer: A
Rationale: To calculate the rate of calories burned per mile, divide the total calories burned by the total miles run: 2276 ÷ 21.4 ≈ 106.4 calories per mile. The correct answer is A. Choice B, C, and D are incorrect as they do not match the correct calculation result. Therefore, they can be eliminated. It is essential to divide the total calories burned by the total miles run to determine the rate of calories burned per mile accurately.
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