a cake recipe calls for 2 cups of flour how many cups are needed to make 6 cakes
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HESI A2

HESI A2 Math Portion

1. A cake recipe calls for 2½ cups of flour. How many cups are needed to make 6 cakes?

Correct answer: D

Rationale: To make one cake, you need 2½ cups of flour. To make 6 cakes, you would need 6 times the amount of flour for one cake, which is 2½ x 6 = 15 cups. Therefore, the correct answer is 15 cups. Choices A, B, and C are incorrect as they do not correctly calculate the total amount of flour needed for 6 cakes.

2. Lights out on the base is at 10:30 P.M. What would that be in military time?

Correct answer: D

Rationale: In military time, the time of 10:30 P.M. is represented as 2230. Military time follows a 24-hour clock system where hours are not converted to a 12-hour clock. Each hour is represented from 00 to 23. Therefore, 10:30 P.M. in military time is 2230. Choice A, 1030, is incorrect as it represents 10:30 A.M. Choice B, 1300, stands for 1:00 P.M., and Choice C, 1230, is equivalent to 12:30 P.M. Hence, the correct answer is D.

3. How many ounces are in 3 5/8 quarts?

Correct answer: A

Rationale: To convert quarts to ounces, we need to know that 1 quart is equal to 32 ounces. To find out how many ounces are in 3 5/8 quarts, we multiply 3 quarts by 32 (96) and add the equivalent of 5/8 of a quart, which is 16 ounces (32 * 5/8 = 16). Adding these together gives us a total of 112 ounces. Therefore, the correct answer is 184 ounces. Choice B (132 oz) is incorrect as it does not account for the additional 16 ounces from the 5/8 of a quart. Choice C (128 oz) is incorrect as it miscalculates the total number of ounces. Choice D (320 oz) is incorrect as it incorrectly multiplies 3.625 by 32, which is not the correct way to convert quarts to ounces.

4. How many ounces are in 8 1/4 pints?

Correct answer: B

Rationale: To convert pints to ounces, multiply by 16 because 1 pint equals 16 ounces. Therefore, 8 1/4 pints is equal to 8.25 x 16 = 132 ounces. Choices A, C, and D are incorrect as they do not reflect the correct conversion from pints to ounces.

5. The order of operations (PEMDAS) dictates the sequence for evaluating mathematical expressions. If a = 2 and b = -3, what is the value of 3a^2 - 2ab + b^2?

Correct answer: C

Rationale: Given expression: 3a^2 - 2ab + b^2. Substitute the values of a and b: 3(2)^2 - 2(2)(-3) + (-3)^2 = 3(4) + 12 + 9 = 12 + 12 + 9 = 24 + 9 = 33. Therefore, the value of the expression is 33, which corresponds to option C. Options A, B, and D are incorrect as they do not accurately evaluate the expression with the given values of a and b.

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