HESI A2
HESI A2 Math 2024
1. What number is 98 175% of?
- A. 48
- B. 52
- C. 54
- D. 56
Correct answer: D
Rationale: To find the number that 98 is 175% of, we can set up the equation: x = 1.75 * x. By solving this equation, we get x = 56. Therefore, 98 is 175% of 56. Choice D, 56, is the correct answer as it represents the number that satisfies the given condition. Choices A, B, and C are incorrect as they do not result in 98 when multiplied by 1.75.
2. Express the ratio of 13:60 as a percentage.
- A. 19.50%
- B. 21.67%
- C. 25.50%
- D. 31%
Correct answer: B
Rationale: To express the ratio 13:60 as a percentage, calculate the decimal form of the ratio by dividing 13 by 60: 13/60 ≈ 0.2167. Next, convert this decimal to a percentage by multiplying by 100: 0.2167 x 100 = 21.67%. Choice A, 19.50%, is incorrect as it does not accurately represent the ratio. Choice C, 25.50%, and Choice D, 31%, are also incorrect calculations of the percentage equivalent of the ratio 13:60.
3. 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.
4. Tamison bought 20 stamps for 29¢ each and 40 stamps for 42¢ each. If she gave the postal worker $25, how much change did she receive?
- A. $2.40
- B. $2.80
- C. $3.20
- D. $3.60
Correct answer: A
Rationale: First, calculate the total cost of the 20 stamps bought at 29¢ each: 20 stamps * 29¢ = $5.80. Next, calculate the total cost of the 40 stamps bought at 42¢ each: 40 stamps * 42¢ = $16.80. The total cost of all stamps is $5.80 + $16.80 = $22.60. If Tamison gave $25 to the postal worker, her change is $25 - $22.60 = $2.40. Therefore, the correct answer is A. Option B, C, and D are incorrect as they do not reflect the correct change Tamison received after buying the stamps.
5. A gross is equal to 12 dozen. If Lanyard Farms sells 15 gross of eggs a week and packages them in one dozen egg containers, how many containers do they need for a week’s worth of eggs?
- A. 15
- B. 150
- C. 180
- D. 2,160
Correct answer: C
Rationale: Given that a gross is equal to 12 dozen, 15 gross of eggs would be equal to 15 * 12 = 180 dozen eggs. Since the eggs are packaged in one dozen egg containers, Lanyard Farms would need 180 containers for a week's worth of eggs. Choice A (15) is incorrect as it represents the number of gross, not containers. Choice B (150) is incorrect as it miscalculates the total number of containers needed. Choice D (2,160) is incorrect as it overestimates the number of containers required.
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