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 nurse working at a medical clinic earns $17.81 per hour. The nurse works three 8-hour shifts and one 12-hour shift every week and is paid weekly. Weekly deductions include federal tax $102.80, state tax $24.58, federal insurance $18.13, and family health insurance $52.15. What is the nurse's take-home pay each week?

A. $443.50
B. $450.00
C. $500.00
D. $430.00

Correct answer: A

Rationale: To calculate the nurse's take-home pay, first determine the weekly gross income. The nurse works 3 shifts x 8 hours = 24 hours at $17.81 per hour plus 1 shift x 12 hours = 12 hours at $17.81 per hour, totaling 36 hours. Therefore, the gross income is 36 hours x $17.81 = $641.16. Next, subtract the weekly deductions: federal tax $102.80 + state tax $24.58 + federal insurance $18.13 + family health insurance $52.15 = $197.66. Deducting $197.66 from the gross income gives $641.16 - $197.66 = $443.50 as the nurse's take-home pay each week. Therefore, the correct answer is $443.50. Choice B ($450.00) is incorrect because it does not consider the specific deductions provided. Choices C ($500.00) and D ($430.00) are also incorrect as they do not reflect the accurate calculation based on the given information.

3. At the book sale, Geoff paid 35 cents apiece for 5 paperbacks and $50 apiece for 3 hardcover books. He gave the clerk a $10 bill. How much change did he receive?

A. $0.50
B. $0.75
C. $1.25
D. $1.75

Correct answer: B

Rationale: Geoff paid a total of 5 paperbacks x $0.35/paperback + 3 hardcover books x $50/hardcover book = $1.75 + $150 = $8.75. Since he gave the clerk a $10 bill, he received $10 - $8.75 = $1.25 change. However, since the options are in increments of $0.25, the closest amount is $0.75, so Geoff received $0.75 change. Option A is incorrect because it's not the closest amount to the actual change. Option C is incorrect as it represents the total change Geoff received, not the closest increment. Option D is incorrect as it overestimates the change Geoff received.

4. Add: 1.332 + 0.067

A. 1.399
B. 1.4
C. 1.402
D. 1.5

Correct answer: A

Rationale: To find the sum of 1.332 and 0.067, add the two numbers correctly: 1.332 + 0.067 = 1.399. Therefore, the correct answer is A. Choice B (1.4) is incorrect because it rounds down the sum, not considering the precise value. Choice C (1.402) is incorrect as it results from adding 1.332 and 0.070 instead of 0.067. Choice D (1.5) is not the correct sum of the given numbers.

5. What is the result of the addition: 34 + 4 + 234?

A. 70.2
B. 230.72
C. 234.74
D. 272

Correct answer: D

Rationale: Adding the given numbers together: 34 + 4 + 234 = 272. The correct sum is 272. Choice A, 70.2, is incorrect as it does not reflect the accurate addition of the numbers. Choice B, 230.72, is incorrect as well. Choice C, 234.74, is also incorrect since the correct sum is 272, not 234.74.