HESI A2
HESI A2 Math 2024
1. Divide: 727 ÷ 6 =
- A. 120 r1
- B. 120 r3
- C. 121 r1
- D. 127 r3
Correct answer: C
Rationale: When dividing 727 by 6, the quotient is 121 with a remainder of 1. The correct answer is, therefore, 121 r1. Choice A (120 r1) is incorrect as the quotient is 121, not 120. Choice B (120 r3) is also incorrect as the remainder should be 1, not 3. Choice D (127 r3) is incorrect as both the quotient and remainder are different from the correct values obtained by dividing 727 by 6.
2. If an investment earns 5% interest annually, how much interest will it earn in 1 year on a principal of $1,000?
- A. $40
- B. $50
- C. $60
- D. $55
Correct answer: B
Rationale: The correct answer is B: $50. To calculate the interest earned on an investment with a 5% interest rate on a principal of $1,000, you simply multiply the principal amount by the interest rate. 5% of $1,000 is $50. Therefore, the investment will earn $50 in interest in 1 year. Choice A, $40, is incorrect because it represents 4% interest instead of 5%. Choice C, $60, is incorrect because it overestimates the interest earned. Choice D, $55, is incorrect as it does not accurately reflect the 5% interest on the principal amount.
3. 12 is a/an:
- A. even number
- B. odd number
- C. prime number
- D. composite number
Correct answer: A
Rationale: Rationale: - An even number is an integer that is exactly divisible by 2, meaning there is no remainder when divided by 2. - The number 12 can be divided by 2 evenly, as 12 ÷ 2 = 6, with no remainder. - Therefore, 12 is classified as an even number.
4. 25 1/7 - 12 5/7 = ?
- A. 12 3/7
- B. 14 1/7
- C. 13 5/6
- D. 13
Correct answer: A
Rationale: To subtract mixed numbers, subtract the whole numbers and fractions separately. If necessary, borrow from the whole number when the fraction in the minuend is smaller than the fraction in the subtrahend. The whole numbers are: 25 - 12 = 13. The fractions: 1/7 - 5/7. Since 1/7 is smaller, borrow 1 from 13, making it 12. Then convert 1 whole into 7/7, so the fraction becomes: (7/7 + 1/7) - 5/7 = 8/7 - 5/7 = 3/7. Thus, 25 1/7 - 12 5/7 = 12 3/7.
5. A train travels at 80 mph for 3 hours. How far did it travel?
- A. 240 miles
- B. 160 miles
- C. 280 miles
- D. 320 miles
Correct answer: A
Rationale: To calculate the distance traveled, you multiply the speed of the train (80 mph) by the time it traveled (3 hours): 80 mph × 3 hours = 240 miles. Therefore, the correct answer is 240 miles. Choice B (160 miles) is incorrect because it results from multiplying the speed by the incorrect time. Choices C (280 miles) and D (320 miles) are incorrect as they represent calculations that do not match the given speed and time.
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