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HESI A2

HESI A2 Math 2024

1. Express 2/5 as a decimal.

Correct answer: C

Rationale: To express 2/5 as a decimal, you divide the numerator (2) by the denominator (5). 2 ÷ 5 = 0.4. Choice A (0.2) is the decimal equivalent of 1/5, not 2/5. Choice B (0.25) is the decimal equivalent of 1/4, not 2/5. Choice D (2.5) is not the correct decimal equivalent of 2/5 as it is greater than 1.

2. 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.

3. A lampshade is shaped like a frustum of a cone, with base diameters of 20cm and 10cm and a height of 15cm. What is its volume?

Correct answer: C

Rationale: To find the volume of the frustum of a cone, divide it into two cones and calculate their volumes separately. The formula for the volume of a cone frustum involves the radii of both bases and the height. The volume of the frustum cone can be calculated as V = 1/3 * π * h * (R^2 + r^2 + R * r), where R is the larger radius, r is the smaller radius, and h is the height. Substituting the values, V = 1/3 * π * 15 * (10^2 + 20*10 + 20^2) = 1875 cu cm. Therefore, the correct answer is 1875 cu cm. Choice A, B, and D are incorrect as they do not correspond to the correct calculation of the frustum's volume.

4. Which of these dates is represented by the Roman numeral MDXVI?

Correct answer: D

Rationale: The Roman numeral MDXVI translates to 1516 in Arabic numerals. The Roman numeral 'M' represents 1000, 'D' represents 500, 'X' represents 10, and 'VI' represents 6, which adds up to 1516. Therefore, the correct answer is 1516. Choices A, B, and C are incorrect as they do not match the Roman numeral MDXVI.

5. A nurse is reviewing the daily intake and output (I&O) of a patient consuming a clear diet. The urinary drainage bag denotes a total of 1,000 mL for the past 24 hours. The total intake is 2 8-oz cups of coffee, 1 16-oz serving of clear soup, and 1 pint of water. How much is the deficit in milliliters?

Correct answer: A

Rationale: 2 8-oz cups of coffee = 16 oz = 16 × 30 = 480 mL. 1 16-oz serving of clear soup = 16 × 30 = 480 mL. 1 pint of water = 16 oz = 480 mL. Total intake = 480 + 480 + 480 = 1,440 mL. Deficit = 1,440 mL (intake) - 1,000 mL (output) = 440 mL. Therefore, the deficit in milliliters is 440 mL. The correct answer is A. Choice B, 540 mL, is incorrect as it miscalculates the total intake. Choice C, 660 mL, is incorrect as it does not accurately subtract the output from the intake. Choice D, 760 mL, is incorrect as it overestimates the deficit by not considering the correct total intake and output values.

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