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. How many ounces are in 2.5 gallons?
- A. 240 ounces
- B. 160 ounces
- C. 320 ounces
- D. 240 ounces
Correct answer: C
Rationale: To convert gallons to ounces, we need to know that 1 gallon is equal to 128 ounces. Therefore, 2.5 gallons would be 2.5 x 128 = 320 ounces. This makes choice C, '320 ounces,' the correct answer. Choices A, B, and D are incorrect because they do not correctly calculate the conversion from gallons to ounces.
3. At the book sale, Geoff paid 35 cents apiece for 5 paperbacks and $50 apiece for 3 hardcover books. He gave the clerk a $10 bill. How much change did he receive?
- A. $0.50
- B. $0.75
- C. $1.25
- D. $1.75
Correct answer: B
Rationale: Geoff paid a total of 5 paperbacks x $0.35/paperback + 3 hardcover books x $50/hardcover book = $1.75 + $150 = $8.75. Since he gave the clerk a $10 bill, he received $10 - $8.75 = $1.25 change. However, since the options are in increments of $0.25, the closest amount is $0.75, so Geoff received $0.75 change. Option A is incorrect because it's not the closest amount to the actual change. Option C is incorrect as it represents the total change Geoff received, not the closest increment. Option D is incorrect as it overestimates the change Geoff received.
4. A decorative globe has a diameter of 25cm. What is its total surface area?
- A. 1570 sq cm
- B. 1963 sq cm
- C. 2513 sq cm
- D. 3142 sq cm
Correct answer: B
Rationale: To find the total surface area of a sphere, you can use the formula: 4 * π * (radius)^2, where the radius is half the diameter. Given that the diameter is 25cm, the radius is half of that, which is 12.5cm. Substitute this value into the formula: 4 * π * (12.5cm)^2 ≈ 1963 sq cm. Therefore, the total surface area of the decorative globe is approximately 1963 sq cm. Choices A, C, and D are incorrect as they do not correspond to the correct calculation.
5. If Andy runs five times as long as Jake, and Jake runs 24.5 miles each week, how many miles does Andy run in a day?
- A. 17.5
- B. 17.7
- C. 16.5
- D. 18.2
Correct answer: A
Rationale: To find how many miles Andy runs in a day, we need to calculate the distance Andy runs in a week. Since Andy runs five times as long as Jake, Andy runs 5 * 24.5 = 122.5 miles per week. To convert this to miles per day, we divide by 7 (days in a week): 122.5 / 7 = 17.5 miles per day. Therefore, the correct answer is A. Choices B, C, and D are incorrect as they do not accurately reflect the calculation based on the given ratio.
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