if a recipe calls for 2 cups of sugar and you want to make half of the recipe how many cups of sugar do you need

HESI A2

HESI A2 Math

1. If a recipe calls for 2 cups of sugar and you want to make half of the recipe, how many cups of sugar do you need?

A. 1 cup
B. 1.5 cups
C. 2 cups
D. 0.5 cups

Correct answer: A

Rationale: To make half of the recipe that calls for 2 cups of sugar, you would need 1 cup of sugar. Choice A is correct because half of 2 cups is 1 cup. Choice B (1.5 cups) is incorrect as it is three-quarters of the original amount, not half. Choice C (2 cups) is the amount required for the full recipe, not for half. Choice D (0.5 cups) is half of 1 cup, not half of 2 cups.

2. A bag contains 5 red marbles and 7 blue marbles. If you draw a marble without looking, what is the probability it will be red?

A. 1/4
B. 1/3
C. 1/2
D. 2/3

Correct answer: B

Rationale: The total number of marbles in the bag is 5 (red) + 7 (blue) = 12 marbles. The probability of drawing a red marble is the number of red marbles divided by the total number of marbles: 5/12. Simplifying 5/12 gives 1/3. Therefore, the correct probability of drawing a red marble is 1/3. Choice A (1/4) is incorrect because there are more red marbles than 1/4 of the total marbles. Choice C (1/2) is incorrect as it represents half of the total marbles. Choice D (2/3) is incorrect as it implies there are more red marbles than there actually are.

3. Find the value of x if x:15=120:225.

A. x=8
B. x=10
C. x=6
D. x=12

Correct answer: A

Rationale: To solve x:15=120:225, set it up as a proportion: x/15 = 120/225. Simplify the right-hand side: 120/225 = 8/15. Now, solve for x by cross-multiplying: x = 8. Therefore, the correct answer is A. Choices B, C, and D are incorrect as they do not align with the correct calculations.

4. Joe makes $20 an hour and Tim makes $30 an hour. How many more hours than Tim must Joe work to earn the same amount that Tim makes in 4 hours?

A. 1 hour
B. 2 hours
C. 3 hours
D. 4 hours

Correct answer: B

Rationale: To earn the same amount that Tim makes in 4 hours, Tim earns $30 per hour, totaling $120 in 4 hours. Joe earns $20 per hour, so to match Tim's earnings in 4 hours, Joe must work 2 hours more than Tim. Therefore, Joe needs to work 2 hours more than Tim to earn the same amount that Tim makes in 4 hours. Choices A, C, and D are incorrect as they do not accurately reflect the additional hours Joe needs to work compared to Tim to earn the same amount in 4 hours.

5. What is the result of dividing 40.3 by 4.8?

A. 0.084
B. 84
C. 0.84
D. 8.4

Correct answer: D

Rationale: When dividing 40.3 by 4.8, the correct result is approximately 8.4. To obtain this result, you can perform the division 40.3 ÷ 4.8 = 8.395833... which rounds to 8.4. The other choices, A, B, and C, are incorrect. Choice A, 0.084, is incorrect as it is not the result of the division provided. Choice B, 84, is incorrect as it is the result of multiplying 40.3 and 4.8 instead of dividing them. Choice C, 0.84, is incorrect as it is not the correct result when dividing 40.3 by 4.8. It is crucial for individuals in various professions to be precise in mathematical calculations for tasks such as accurate medication administration and dosage measurements. Therefore, the correct answer is D, 8.4.