HESI A2
HESI A2 Math Practice Test 2022
1. If John buys 3 bags of chips for $4.50, how much will it cost John to buy five bags of chips?
- A. $7.50
- B. $6.00
- C. $5.00
- D. $4.00
Correct answer: A
Rationale: If 3 bags of chips cost $4.50, then the cost per bag is $4.50/3 = $1.50. To buy five bags, John would need to pay 5 bags * $1.50 = $7.50. Therefore, it will cost John $7.50 to buy five bags of chips. The other choices are incorrect because they do not accurately calculate the total cost based on the given information.
2. Lights out on the base is at 10:30 P.M. What would that be in military time?
- A. 1030
- B. 1300
- C. 1230
- D. 2230
Correct answer: D
Rationale: In military time, the time of 10:30 P.M. is represented as 2230. Military time follows a 24-hour clock system where hours are not converted to a 12-hour clock. Each hour is represented from 00 to 23. Therefore, 10:30 P.M. in military time is 2230. Choice A, 1030, is incorrect as it represents 10:30 A.M. Choice B, 1300, stands for 1:00 P.M., and Choice C, 1230, is equivalent to 12:30 P.M. Hence, the correct answer is D.
3. 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.
4. A patient's temperature is 98.6 degrees Fahrenheit. What is their temperature in degrees Celsius (1°F = 5/9°C)?
- A. 37°C
- B. 32°C
- C. 41°C
- D. 45°C
Correct answer: A
Rationale: To convert Fahrenheit to Celsius, you need to subtract 32 from the Fahrenheit temperature (98.6°F) and then multiply the result by 5/9. Doing this calculation, you get 37°C. Choice B (32°C) is incorrect because it doesn't consider the conversion formula correctly. Choices C (41°C) and D (45°C) are incorrect as they do not apply the conversion formula accurately, leading to incorrect results.
5. After the young mother goes shopping and spends $101.85 on groceries, $21.90 at the dry cleaners, and $42.66 at the pet store, she has $200.00 in cash. How much money would she have left after her day of shopping?
- A. $33.59
- B. $29.59
- C. $25.59
- D. $21.59
Correct answer: A
Rationale: The correct answer is A, $33.59. To find out how much money she would have left, we need to calculate the total spending by adding the amounts spent at the groceries, dry cleaners, and pet store: $101.85 + $21.90 + $42.66 = $166.41. Subtract the total spending from the initial cash amount to determine the remaining cash: $200.00 - $166.41 = $33.59. Choice B, $29.59, is incorrect as it does not accurately reflect the correct calculation. Choices C and D, $25.59 and $21.59 respectively, are also incorrect as they do not consider the correct total spending amount and subtraction from the initial cash.
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