HESI A2
HESI A2 Math 2024
1. Gus is making a chili recipe that calls for three parts beans to five parts ground beef. If he is using 8 cups of ground beef for a big family dinner, how many cups of beans will Gus need?
- A. 3.6 cups
- B. 4 cups
- C. 4.6 cups
- D. 4.8 cups
Correct answer: B
Rationale: For every 3 parts of beans, Gus needs 5 parts of ground beef. This means the ratio of beans to beef is 3:5. If Gus is using 8 cups of ground beef, the total parts would be 3 parts beans to 5 parts beef, which is a total of 8 parts. To find out how many cups of beans Gus needs, we can set up a proportion: 3/5 = x/8. Cross multiplying gives us 5x = 24. Solving for x, we get x = 4. Therefore, Gus will need 4 cups of beans. Choice A, C, and D are incorrect as they do not align with the correct proportion calculation.
2. The individual is completing their time sheet. They worked 8 ½ hours on Monday, 8 hours on Tuesday, 6 ¾ hours on Wednesday, and 9 hours each on the last two days of the week. If their hourly pay rate is $15.65, how much would their gross pay be for that week?
- A. $645.56
- B. $600.50
- C. $700.25
- D. $650.00
Correct answer: A
Rationale: To calculate the total hours worked, add 8.5 + 8 + 6.75 + 9 + 9, which equals 41.25 hours. To determine the gross pay, multiply the total hours worked (41.25) by the hourly rate ($15.65): 41.25 * $15.65 = $645.56. This precise calculation ensures accurate compensation for the hours worked, emphasizing the importance of financial accuracy in payroll management. Choice B, C, and D are incorrect as they do not result from the accurate calculation of total hours worked multiplied by the hourly rate, providing a good illustration of the consequences of miscalculations in payroll processing.
3. If a train travels at 80 kilometers per hour, how many kilometers will it travel in 3 hours?
- A. 240 kilometers
- B. 160 kilometers
- C. 240 kilometers
- D. 210 kilometers
Correct answer: A
Rationale: To find the total distance traveled, you need to multiply the speed of the train by the time it travels. So, 80 km/h * 3 hours = 240 kilometers. Therefore, the correct answer is 240 kilometers. Choice B (160 kilometers) is incorrect because it is the result of multiplying the speed by 2 hours instead of 3. Choice C (240 kilometers) is the same as the correct answer, making it redundant. Choice D (210 kilometers) is incorrect as it is the result of multiplying the speed by 2.5 hours instead of 3.
4. A birdbath has a hemispherical bowl with a diameter of 30cm. What is its volume?
- A. 675 cu cm
- B. 1350 cu cm
- C. 2700 cu cm
- D. 4050 cu cm
Correct answer: C
Rationale: To find the volume of a hemispherical bowl, we use half the formula for a sphere's volume: (2/3) * π * (radius)^3. Given the diameter is 30cm, the radius is half of that, which is 15cm. Substitute the radius into the formula: (2/3) * π * (15cm)^3 ≈ 2700 cu cm. Therefore, the correct volume is approximately 2700 cu cm. Choices A, B, and D are incorrect as they do not correctly calculate the volume of the hemispherical bowl.
5. How many ounces are in 2 quarts?
- A. 8 ounces
- B. 16 ounces
- C. 32 ounces
- D. 64 ounces
Correct answer: D
Rationale: To convert quarts to ounces, you need to multiply by 32 (1 quart = 32 ounces). Therefore, 2 quarts x 32 ounces/quart = 64 ounces. Hence, there are 64 ounces in 2 quarts. Choices A, B, and C are incorrect because they do not reflect the correct conversion factor from quarts to ounces.
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