HESI A2
HESI A2 Practice Test Math
1. A woman received a bottle of perfume as a present. The bottle contains 1/2 oz of perfume. How many milliliters is this?
- A. 15 mL
- B. 20 mL
- C. 10 mL
- D. 50 mL
Correct answer: A
Rationale: 1/2 oz of perfume is equal to approximately 15 mL. To convert ounces to milliliters, we need to know that 1 oz is approximately 30 mL. Therefore, half an ounce, which is 1/2 oz, would be half of 30 mL, which equals 15 mL. Choice B, 20 mL, is incorrect as it does not correspond to the conversion factor of 1 oz to 30 mL. Choice C, 10 mL, is incorrect as it is half of the actual value. Choice D, 50 mL, is incorrect as it is the value of 1 oz rather than half an ounce.
2. The physician ordered 20 mg of Tylenol per kg of body weight; on hand is 80 mg per tablet. The child weighs 12 kg. How many tablets will you give?
- A. 1 tablet
- B. 3 tablets
- C. 2 tablets
- D. 4 tablets
Correct answer: B
Rationale: To calculate the total dose of Tylenol for the child weighing 12 kg, multiply the weight by the ordered dose: 12 kg x 20 mg/kg = 240 mg. Since each tablet contains 80 mg of Tylenol, divide the total dose needed by the amount per tablet: 240 mg ÷ 80 mg/tablet = 3 tablets. Therefore, the correct answer is 3 tablets. Choices A, C, and D are incorrect because they do not reflect the accurate calculation for the number of tablets required based on the child's weight and the ordered dose per kg.
3. Express the ratio of 6:7 as a percentage.
- A. 67%
- B. 76%
- C. 86%
- D. 93%
Correct answer: A
Rationale: To express the ratio 6:7 as a percentage, we first need to find the total parts in the ratio, which is 6 + 7 = 13. To convert this ratio to a percentage, divide the part you want to find the percentage for by the total parts, then multiply by 100. In this case, to find the percentage for 6 in the ratio 6:7, the calculation would be (6/13) * 100 = 46.15%. Therefore, the correct answer is A, 67%. Choices B, C, and D are incorrect percentages as they do not result from the correct calculation for the given ratio.
4. If a runner runs 5 miles in 45 minutes, what is their average speed in miles per hour?
- A. 6.67 mph
- B. 5 mph
- C. 7 mph
- D. 10 mph
Correct answer: A
Rationale: To find the average speed, first, convert 45 minutes to hours (45/60 = 0.75 hours). Then, divide the distance by the time: 5 miles ÷ 0.75 hours = 6.67 mph. Choice A is correct because it accurately calculates the average speed based on the distance covered and time taken. Choice B is incorrect as it does not consider the time taken to cover the distance. Choice C is incorrect as it is higher than the calculated speed. Choice D is incorrect as it is higher and does not match the calculated average speed.
5. 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.
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