HESI A2
HESI A2 Practice Test Math
1. X/4 = 9/x, solve for x.
- A. x = 6
- B. x = 3
- C. x = 9
- D. x = 2
Correct answer: A
Rationale: To solve X/4 = 9/x, cross multiply to get x^2 = 36. Taking the square root of both sides gives x = 6. Choice A is correct because x = 6 satisfies the equation x^2 = 36. Choices B, C, and D are incorrect as they do not satisfy the equation when substituted back into it.
2. A car travels at 60 mph for 5 hours. How far did it travel?
- A. 360 miles
- B. 240 miles
- C. 300 miles
- D. 360 miles
Correct answer: C
Rationale: To find the distance traveled, multiply the speed by the time: 60 mph × 5 hours = 300 miles. Choice A (360 miles) and Choice D (360 miles) are incorrect as they do not accurately calculate the distance based on the given speed and time. Choice B (240 miles) is also incorrect as it underestimates the distance traveled.
3. A seamstress is measuring a model for a new dress. The tape measure is marked in centimeters. The seamstress needs to convert that measurement into inches. If the model's waist measurement is 65.4 centimeters, what is that in inches?
- A. 25.74
- B. 21
- C. 15
- D. 10
Correct answer: A
Rationale: To convert centimeters to inches, divide the measurement in centimeters by 2.54 (since 1 inch = 2.54 cm). Therefore, 65.4 cm ÷ 2.54 = 25.74 inches. This means that the model's waist measurement of 65.4 centimeters is equivalent to 25.74 inches. Choices B, C, and D are incorrect as they do not result from the correct conversion calculation.
4. A family uses 12 gallons of water every day. How many gallons do they use in a non-leap year?
- A. 4,120 gallons
- B. 4,380 gallons
- C. 3,840 gallons
- D. 4,350 gallons
Correct answer: B
Rationale: To determine the total gallons the family uses in a non-leap year, you have to multiply the daily consumption by the number of days in a non-leap year. So, 12 gallons/day x 365 days = 4,380 gallons used per year. Therefore, the correct answer is B. Choice A is incorrect as it provides an inaccurate total by not considering the total days in a year. Choice C is incorrect as it offers a lower value due to not multiplying the daily usage by the total days in a year. Choice D is incorrect as it doesn't accurately calculate the total gallons used in a non-leap year.
5. If 3 books cost $4, how much will 6 books cost?
- A. $8
- B. $12
- C. $6
- D. $10
Correct answer: A
Rationale: To find the cost of 1 book, divide the total cost by the number of books: $4 / 3 = $1.33 per book. To determine the cost of 6 books, multiply the cost per book by 6: $1.33 * 6 = $8. Therefore, purchasing 6 books will cost $8. Choice B, $12, is incorrect as it incorrectly doubles the cost of 3 books. Choice C, $6, is incorrect as it is half the cost of 3 books. Choice D, $10, is incorrect as it does not accurately calculate the cost of 6 books based on the given information.
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