HESI A2
HESI A2 Math Practice
1. A decorative box has a rectangular base (20cm by 15cm) and a hemispherical top with the same diameter as the base. What is the total surface area of the box (excluding the base)?
- A. 825 sq cm
- B. 1075 sq cm
- C. 1325 sq cm
- D. 1575 sq cm
Correct answer: C
Rationale: To find the total surface area of the box excluding the base, calculate the lateral surface area of the rectangular base and the surface area of the hemisphere. The lateral surface area of the rectangular base is 2(20cm x 15cm) = 600 sq cm. The surface area of the hemisphere is 2πr^2, where r is half the diameter of the base, so r = 10cm. Thus, the surface area of the hemisphere is 2π(10cm)^2 = 200π sq cm ≈ 628.32 sq cm. Add the lateral surface area of the base and the surface area of the hemisphere: 600 sq cm + 628.32 sq cm ≈ 1228.32 sq cm. Therefore, the total surface area of the box is approximately 1228.32 sq cm, which is closest to 1325 sq cm (Choice C). Choices A, B, and D are incorrect as they do not represent the accurate calculation of the total surface area of the box.
2. How many pounds are in 160 ounces?
- A. 10 pounds
- B. 8 pounds
- C. 5 pounds
- D. 12 pounds
Correct answer: A
Rationale: The correct answer is A: 10 pounds. There are 16 ounces in a pound. To convert 160 ounces to pounds, you need to divide 160 by 16, which equals 10 pounds. Choice B, 8 pounds, is incorrect because it does not account for the correct conversion factor. Choice C, 5 pounds, is incorrect as it is not the result of dividing 160 by 16. Choice D, 12 pounds, is incorrect as it overestimates the conversion.
3. What is the probability of getting a 1 on a six-sided die?
- A. 1/6
- B. 1/4
- C. 1/3
- D. 1/2
Correct answer: A
Rationale: The probability of getting a '1' on a six-sided die is 1 out of 6 possible outcomes, making it a 1/6 probability. Therefore, choice A is correct. Choices B, C, and D are incorrect because they do not represent the correct probability of rolling a '1' on a standard six-sided die.
4. If the outside temperature on a sunny day is 82 degrees on the Fahrenheit scale, what is the approximate temperature on the Celsius scale?
- A. 18°C
- B. 24°C
- C. 28°C
- D. 50°C
Correct answer: C
Rationale: To convert Fahrenheit to Celsius, you can use the formula:
5. A newborn weighs 8 pounds 5 ounces. There are 453.59 grams per pound. What is the infant's weight in grams?
- A. A. 2268 grams
- B. B. 3629 grams
- C. C. 3770 grams
- D. D. 3856 grams
Correct answer: B
Rationale: To convert pounds and ounces to grams: 8 pounds = 8 × 453.59 = 3,628.72 grams. 5 ounces = (5 ÷ 16) × 453.59 = 141.75 grams. Total weight = 3,628.72 + 141.75 = 3,629 grams (rounded). Therefore, the infant's weight is approximately 3,629 grams. Choice A, 2268 grams, is incorrect as it does not account for the weight in ounces. Choice C, 3770 grams, is incorrect as it is not the accurate converted weight. Choice D, 3856 grams, is incorrect as it does not consider the conversion of ounces to grams.
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