HESI A2
HESI A2 Math Practice
1. A teacher's aide must convert the directions from quarts to liters. The directions say to dilute the contents of a package in 3 quarts of water. How many liters should be used?
- A. 2.8 liters
- B. 3.5 liters
- C. 2.5 liters
- D. 4.0 liters
Correct answer: A
Rationale: To convert quarts to liters, you can multiply the number of quarts by 0.946353. In this case, 3 quarts is approximately 2.8 liters. Therefore, the correct answer is 2.8 liters. Choices B, C, and D are incorrect as they do not reflect the accurate conversion from quarts to liters.
2. 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.
3. 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.
4. Convert 5 3/4 to a decimal. Round to the nearest tenth.
- A. 5.6
- B. 5.7
- C. 5.8
- D. 6
Correct answer: C
Rationale: To convert 5 3/4 to a decimal, we add the whole number part to the fractional part: 5 + 3/4 = 5.75. Rounding 5.75 to the nearest tenth gives us 5.8. Therefore, the correct answer is C. Choice A (5.6) is incorrect because it does not accurately represent 5 3/4. Choice B (5.7) is incorrect as well because it does not reflect the correct conversion. Choice D (6) is incorrect as it does not account for the fractional part of 5 3/4.
5. The length of a rectangle is twice its width, and its area is equal to the area of a square with 12 cm sides. What will be the perimeter of the rectangle to the nearest whole number?
- A. 36 cm
- B. 46 cm
- C. 51 cm
- D. 56 cm
Correct answer: A
Rationale: Let the width of the rectangle be x cm, and its length be 2x cm. The area of the rectangle is 2x * x = 2x², and the area of the square is 12² = 144 cm². Setting the areas equal gives 2x² = 144. Solving for x gives x = 6. Thus, the width is 6 cm, and the length is 12 cm. The perimeter is 2(6 + 12) = 36 cm. Therefore, the correct answer is 36 cm. Choice B, 46 cm, is incorrect because it does not match the calculated perimeter. Choices C and D are also incorrect as they do not reflect the correct calculation of the rectangle's perimeter.
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