HESI A2
HESI A2 Math 2024
1. How many centimeters are there in 1 foot?
- A. 4.72 centimeters
- B. 10 centimeters
- C. 25.4 centimeters
- D. 30.48 centimeters
Correct answer: D
Rationale: To convert feet to centimeters, you need to consider that there are 2.54 centimeters in an inch. Since a foot is equal to 12 inches, you multiply 12 inches by 2.54 to get 30.48 centimeters. Therefore, there are 30.48 centimeters in 1 foot. Choice A (4.72 centimeters) is incorrect as it does not use the correct conversion factor. Choice B (10 centimeters) is incorrect as it is not the accurate conversion for 1 foot. Choice C (25.4 centimeters) is incorrect as it corresponds to 10 inches, not 1 foot.
2. How many ounces are in 3/4 pints?
- A. 12 ounces
- B. 16 ounces
- C. 14 ounces
- D. 10 ounces
Correct answer: A
Rationale: To find the number of ounces in 3/4 pints, we need to know that 1 pint is equal to 16 ounces. Therefore, 3/4 of a pint would be 3/4 * 16 = 12 ounces. The correct answer is 12 ounces because 3/4 pints is equivalent to 12 ounces. Choices B, C, and D are incorrect as they do not accurately calculate the conversion from pints to ounces.
3. A nurse administers 150mg of medication every 4 hours. How many milligrams will the patient receive in 24 hours?
- A. 300mg
- B. 600mg
- C. 750mg
- D. 900mg
Correct answer: D
Rationale: Rationale: - The patient receives 150mg of medication every 4 hours. - To calculate how many milligrams the patient will receive in 24 hours, we need to determine how many times the medication is administered in 24 hours. - Since the medication is administered every 4 hours, there are 24 hours in a day, so the medication will be administered 24 / 4 = 6 times in 24 hours. - Therefore, the total amount of medication the patient will receive in 24 hours is 150mg x 6 = 900mg.
4. How many grams are in 4 kilograms?
- A. 4000 grams
- B. 3000 grams
- C. 4500 grams
- D. 3500 grams
Correct answer: A
Rationale: The correct answer is A: 4000 grams. To convert kilograms to grams, you need to multiply the number of kilograms by 1000 since there are 1000 grams in 1 kilogram. Therefore, 4 kilograms is equal to 4 x 1000 = 4000 grams. Choice B (3000 grams), C (4500 grams), and D (3500 grams) are incorrect as they do not correctly convert 4 kilograms into grams.
5. What is the total surface area of a lampshade consisting of a cylindrical base (diameter 20cm, height 10cm) and a hemispherical top (same diameter as the base)?
- A. 785 sq cm
- B. 1130 sq cm
- C. 1570 sq cm
- D. 2055 sq cm
Correct answer: D
Rationale: To find the total surface area of the lampshade, first calculate the surface area of the cylinder and the hemisphere separately. 1. Surface area of the cylinder = 2πr² + 2πrh = 2π(10)² + 2π(10)(20) = 400π + 400π = 800π cm². 2. Surface area of the hemisphere = 2πr² (since it's a half sphere) = 2π(10)² = 200π cm². Adding both areas gives the total surface area: 800π + 200π = 1000π cm². Now, calculate the numerical value: 1000π ≈ 3141.59 cm², which is approximately equal to 2055 cm². Therefore, the correct answer is 2055 sq cm. Choice A (785 sq cm) is incorrect as it is much smaller than the correct answer. Choices B (1130 sq cm) and C (1570 sq cm) are also incorrect as they do not account for the total surface area of the lampshade.
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