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
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Nursing Elites

HESI A2

HESI A2 Math Portion

1. 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?

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.

2. How many inches are in 2 yards?

Correct answer: D

Rationale: To convert yards to inches, remember that there are 36 inches in a yard. Therefore, when you have 2 yards, multiplying 36 inches by 2 results in 72 inches. Choice A, 36 inches, is the number of inches in 1 yard, not 2 yards. Choice B, 48 inches, and Choice C, 60 inches, are incorrect calculations based on the conversion factor of 36 inches per yard.

3. Find x. 120:x = 40:0.5.

Correct answer: C

Rationale: To find x, set up the proportion and solve for x: 120/x = 40/0.5. Cross multiply to get 120 * 0.5 = 40x. This simplifies to 60 = 40x. Divide by 40 to isolate x, giving x = 60/40 = 1. Therefore, the correct answer is C, which is 1. Choice A (60) is incorrect because it does not match the correct calculation. Choice B (0) is incorrect as the calculation results in x = 1, not 0. Choice D (25) is incorrect as it does not match the correct calculation of x = 1.

4. A nurse works in a neonatal unit where infants' weights are measured in grams. What is the equivalent of 1,500 grams in pounds?

Correct answer: A

Rationale: To convert grams to pounds, you can use the conversion factor: 1 pound = 453.59237 grams. Therefore, to find the equivalent of 1,500 grams in pounds, divide 1,500 by 453.59237 to get approximately 3.3 pounds. Choice A is the correct answer because it accurately represents the conversion. Choices B, C, and D are duplicates and do not provide an alternative option.

5. 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?

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.

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