HESI A2
HESI A2 Math 2024
1. Multiply 0.05 by 22 and express the result as a decimal:
- A. 1.1
- B. 0.11
- C. 0.011
- D. 0.0011
Correct answer: C
Rationale: When multiplying 0.05 by 22, you get 1.10. To express this result as a decimal, you move the decimal point two places to the left since there are two total decimal places in the question (one in 0.05 and none in 22), resulting in 0.011. Choice A (1.1) incorrectly adds a decimal place, choice B (0.11) incorrectly moves the decimal point only one place, and choice D (0.0011) adds an extra zero.
2. Solve for x: x/250 = 3/500.
- A. 150
- B. 25.5
- C. 1.5
- D. 60
Correct answer: C
Rationale: To solve for x, cross-multiply: x/250 = 3/500. This simplifies to x = 1.5. Therefore, the correct answer is 1.5. Choice A (150) is incorrect because it does not account for the division by 250. Choice B (25.5) is incorrect as it is not the correct result of the calculation. Choice D (60) is incorrect as it is not the correct result of the calculation either.
3. What is the greatest common factor (GCF) of 12 and 18?
- A. 2
- B. 3
- C. 6
- D. 9
Correct answer: C
Rationale: The greatest common factor (GCF) of two numbers is the largest number that divides both numbers without leaving a remainder. To find the GCF of 12 and 18, we factorize each number: 12 = 2 x 2 x 3 and 18 = 2 x 3 x 3. The common factors are 2 and 3. The GCF is the product of these common factors, which is 6. Therefore, 6 is the greatest common factor of 12 and 18. Choice A (2) and Choice B (3) are factors of both numbers but not the greatest common factor. Choice D (9) is not a factor of both 12 and 18, making it incorrect.
4. Gus is making a chili recipe that calls for three parts beans to five parts ground beef. If he is using 8 cups of ground beef for a big family dinner, how many cups of beans will Gus need?
- A. 3.6 cups
- B. 4 cups
- C. 4.6 cups
- D. 4.8 cups
Correct answer: B
Rationale: For every 3 parts of beans, Gus needs 5 parts of ground beef. This means the ratio of beans to beef is 3:5. If Gus is using 8 cups of ground beef, the total parts would be 3 parts beans to 5 parts beef, which is a total of 8 parts. To find out how many cups of beans Gus needs, we can set up a proportion: 3/5 = x/8. Cross multiplying gives us 5x = 24. Solving for x, we get x = 4. Therefore, Gus will need 4 cups of beans. Choice A, C, and D are incorrect as they do not align with the correct proportion calculation.
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?
- 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.
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