the recipe states that 4 cups of sugar will make 144 cookies how many cups of sugar are needed to make 90 cookies
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HESI A2

HESI A2 Math Practice Test 2024

1. The recipe states that 4 cups of sugar will make 120 cookies. How many cups of sugar are needed to make 90 cookies?

Correct answer: A

Rationale: To find out how many cups of sugar are needed for 90 cookies when 4 cups make 120 cookies, set up a proportion: 4/120 = x/90. Cross multiply to get 120x = 4 * 90. Solve for x to find x = 360/120 = 3. Therefore, 3 cups of sugar are needed for 90 cookies. Choice B (2 cups), Choice C (1.5 cups), and Choice D (4 cups) are incorrect because they do not align with the correct proportion calculation. The correct calculation shows that 3 cups of sugar are required for 90 cookies, as the recipe proportionally reduces when making fewer cookies.

2. Solve for x: 5x + 10 = 20.

Correct answer: A

Rationale: To solve the equation 5x + 10 = 20, first subtract 10 from both sides to isolate the term with x: 5x = 10. Then, divide by 5 on both sides to find the value of x: x = 2. Therefore, the correct answer is A. Choice B is incorrect because x is not equal to 2 but 4. Choice C is incorrect as x is not equal to 5. Choice D is incorrect as x is not equal to 7.

3. A decorative globe has a diameter of 25cm. What is its total surface area?

Correct answer: B

Rationale: To find the total surface area of a sphere, you can use the formula: 4 * π * (radius)^2, where the radius is half the diameter. Given that the diameter is 25cm, the radius is half of that, which is 12.5cm. Substitute this value into the formula: 4 * π * (12.5cm)^2 ≈ 1963 sq cm. Therefore, the total surface area of the decorative globe is approximately 1963 sq cm. Choices A, C, and D are incorrect as they do not correspond to the correct calculation.

4. Change the following fraction into a ratio: 22/91

Correct answer: A

Rationale: To convert a fraction into a ratio, you express it as a ratio of two numbers separated by a colon. Therefore, 22/91 as a ratio is 22:91. Choice B (1/3) is a different fraction not equivalent to 22/91. Choice C (22/91) is the original fraction and not the ratio form. Choice D is irrelevant to the question.

5. A newspaper kiosk sells 10 varieties of newspapers from around the world. The average daily sales for some of the varieties are as follows: English language newspapers sell 25 each day, French language newspapers sell 1 each day, Korean language newspapers sell 16 each day, Japanese language newspapers sell 16 each day, and Russian language newspapers sell 22 each day. How many newspapers are sold each day?

Correct answer: A

Rationale: To calculate the total number of newspapers sold each day, add the sales for each language: 25 (English) + 1 (French) + 16 (Korean) + 16 (Japanese) + 22 (Russian) = 80. Multiply this by the number of language varieties (10) to get the total number of newspapers sold: 80 x 10 = 800. Therefore, the kiosk sells 800 newspapers each day, not 368 as erroneously stated. The correct answer is 800 papers.

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