HESI A2
HESI A2 Math 2024
1. A solution is 60% alcohol. If 200ml of the solution is used, how much pure alcohol is present?
- A. 100ml
- B. 120ml
- C. 140ml
- D. 160ml
Correct answer: B
Rationale: If the solution is 60% alcohol, it means that 60% of the solution is alcohol. Therefore, in 200ml of the solution, the amount of alcohol present is: 200ml * 60% = 200ml * 0.60 = 120ml. So, when 200ml of the solution is used, there are 120ml of pure alcohol present. Choice A, 100ml, is incorrect because it does not account for the correct percentage of alcohol in the solution. Choice C, 140ml, and Choice D, 160ml, are incorrect as they overestimate the amount of pure alcohol present in the solution.
2. Convert the percentage to a decimal: 38%
- A. 3.8
- B. 0.38
- C. 0.038
- D. 38.0
Correct answer: B
Rationale: To convert a percentage to a decimal, you divide the percentage by 100. Therefore, 38% as a decimal is 0.38 (38 ÷ 100 = 0.38). Choice A, 3.8, is incorrect as it is equivalent to 380%. Choice C, 0.038, is incorrect as it represents 3.8%. Choice D, 38.0, is incorrect as it is still in percentage form.
3. 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?
- A. 440 mL
- B. 540 mL
- C. 660 mL
- D. 760 mL
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.
4. Solve: 2 - 8(24 ÷ 2).
- A. -94
- B. -92
- C. -96
- D. -90
Correct answer: A
Rationale: To solve the expression, we follow the order of operations (PEMDAS). First, we divide 24 by 2 to get 12. Then, we multiply 8 by 12, which equals 96. Finally, we subtract 96 from 2: 2 - 96 = -94. Therefore, the correct answer is A, '-94'. Choices B, C, and D are incorrect as they do not follow the correct order of operations or make errors during calculation.
5. What is the area of a rectangular room with a length of 12 meters and a width of 10 meters?
- A. 120 square meters
- B. 130 square meters
- C. 140 square meters
- D. 100 square meters
Correct answer: A
Rationale: The correct answer is A: 120 square meters. To find the area of a rectangle, you multiply its length by its width. In this case, the length is 12 meters and the width is 10 meters. Therefore, the area of the room is 12m * 10m = 120 square meters. Choices B, C, and D are incorrect as they do not correctly calculate the area of the room based on its dimensions.
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