HESI A2
HESI A2 Math Practice Test
1. The plane is due to land at 6:20 P.M. What would that be in military time?
- A. 620
- B. 1820
- C. 6020
- D. 6200
Correct answer: B
Rationale: In military time, the afternoon and evening hours are represented by adding 12 to the standard time. Therefore, 6:20 P.M. would be equivalent to 18:20 in military time. To convert from P.M. to military time, simply add 12 hours to the given time. Choice A, '620,' is incorrect because it does not account for converting to military time. Choice C, '6020,' is incorrect as military time uses a 24-hour clock format, and the hour digit should not exceed 23. Choice D, '6200,' is incorrect as it does not follow the military time format where the hour part ranges from 00 to 23.
2. The physician orders 60 mg of Augmentin; 80 mg/mL is on hand. How many milliliters will you give?
- A. 1 ml
- B. 0.5 ml
- C. 0.75 ml
- D. 1.25 ml
Correct answer: C
Rationale: To find the volume required, divide the prescribed dose (60 mg) by the concentration available (80 mg/mL): 60 mg ÷ 80 mg/mL = 0.75 mL. Therefore, 0.75 mL is the correct amount to administer. Choice A (1 ml) is incorrect as it does not consider the concentration of the solution. Choice B (0.5 ml) is incorrect as it is half the correct amount. Choice D (1.25 ml) is incorrect as it is more than the calculated correct amount.
3. Add: 3 1/8 + 1 1/4.
- A. 4 3/8
- B. 4 1/2
- C. 4 3/4
- D. 5 1/4
Correct answer: A
Rationale: To add mixed numbers, first add the fractions: 1/8 + 1/4 = 3/8. Then, add the whole numbers: 3 + 1 = 4. Therefore, 3 1/8 + 1 1/4 = 4 3/8. Choice B (4 1/2) is incorrect because the fractions were not added correctly, leading to an incorrect result. Choice C (4 3/4) is incorrect as it does not represent the correct sum of the two mixed numbers. Choice D (5 1/4) is incorrect as it provides a result that is higher than the correct sum of the mixed numbers.
4. What time is 6:30 A.M. in military time?
- A. 0630
- B. 6030
- C. 1503
- D. 1530
Correct answer: A
Rationale: Military time uses a 24-hour clock format where the hours range from 00 to 23. In this format, 6:30 A.M. is expressed as 0630. Choice B (6030) and Choice C (1503) are incorrect as they do not follow the 24-hour clock format. Choice D (1530) represents 3:30 P.M., not 6:30 A.M.
5. 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.
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