HESI A2
HESI A2 Math Practice Test 2024
1. A lampshade is shaped like a frustum of a cone, with base diameters of 20cm and 10cm and a height of 15cm. What is its volume?
- A. 625 cu cm
- B. 1250 cu cm
- C. 1875 cu cm
- D. 2500 cu cm
Correct answer: C
Rationale: To find the volume of the frustum of a cone, divide it into two cones and calculate their volumes separately. The formula for the volume of a cone frustum involves the radii of both bases and the height. The volume of the frustum cone can be calculated as V = 1/3 * π * h * (R^2 + r^2 + R * r), where R is the larger radius, r is the smaller radius, and h is the height. Substituting the values, V = 1/3 * π * 15 * (10^2 + 20*10 + 20^2) = 1875 cu cm. Therefore, the correct answer is 1875 cu cm. Choice A, B, and D are incorrect as they do not correspond to the correct calculation of the frustum's volume.
2. Sergeant Kellogg had his men line up at 3:40 P.M. What would that be in military time?
- A. 340
- B. 3040
- C. 1500
- D. 1540
Correct answer: D
Rationale: In military time, the 24-hour clock is used. 3:40 P.M. in standard time would be 1540 in military time. To convert from standard time to military time, you keep the hour number the same for afternoon and evening hours but add 12 to afternoon hours. Choice A (340) is incorrect as it doesn't follow the military time format. Choice B (3040) is incorrect as military time uses a maximum of four digits. Choice C (1500) is incorrect as it represents 3:00 P.M. in military time, not 3:40 P.M.
3. How many milligrams are in 7 grams?
- A. 7000 mg
- B. 7 mg
- C. 700 mg
- D. 70 mg
Correct answer: A
Rationale: To convert grams to milligrams, you need to multiply by 1,000 since there are 1,000 milligrams in a gram. So, 1,000 x 7 grams = 7,000 mg. This means that there are 7,000 milligrams in 7 grams. Choices B, C, and D are incorrect because they do not correctly convert grams to milligrams.
4. Which of the following is equivalent to 0.0009?
- A. 0.009%
- B. 0.9%
- C. 0.09%
- D. 9%
Correct answer: C
Rationale: To convert 0.0009 to a percentage, you need to multiply by 100. This gives 0.0009 as 0.09%. Therefore, choice C is the correct answer. Choice A, 0.009%, is incorrect because it represents 0.009, not 0.0009. Choice B, 0.9%, is incorrect as it represents 0.9, which is a different value. Choice D, 9%, is also incorrect as it represents 9, not 0.0009.
5. What is 60% of 90?
- A. 54
- B. 58
- C. 60
- D. 65
Correct answer: A
Rationale: To find 60% of 90, you multiply 90 by 0.60 (which is the decimal form of 60%). So, 90 * 0.60 = 54. Therefore, 60% of 90 is 54. Choice A is correct. Choice B, C, and D are incorrect as they do not reflect the correct calculation for finding 60% of 90.
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