HESI A2
HESI A2 Practice Test Math
1. What is the result of subtracting 7 7/10 from 3 4/5?
- A. 3 9/10
- B. 4
- C. 3
- D. 5
Correct answer: A
Rationale: To subtract 7 7/10 from 3 4/5, first convert 3 4/5 to have the same denominator as 7 7/10. Converting 4/5 to 8/10, the subtraction becomes 7 7/10 - 3 8/10. Subtracting, 7 - 3 = 4 and 7/10 - 8/10 = -1/10. Therefore, the result is 3 4/5 - 7 7/10 = 3 9/10. Choices B, C, and D are incorrect because they do not reflect the correct subtraction of fractions and whole numbers in this scenario.
2. How many kilograms are in 4,000 grams?
- A. 4 kilograms
- B. 5 kilograms
- C. 1 kilogram
- D. 2 kilograms
Correct answer: A
Rationale: To convert grams to kilograms, divide by 1,000 because there are 1,000 grams in a kilogram. Therefore, 4,000 grams รท 1,000 = 4 kilograms. Choice A is correct as it represents the correct conversion. Choice B, 5 kilograms, is incorrect because it is not the result of dividing 4,000 grams by 1,000. Choice C, 1 kilogram, is incorrect because 4,000 grams is more than 1 kilogram. Choice D, 2 kilograms, is incorrect as it is not the correct conversion from grams to kilograms.
3. 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.
4. What factor is used to convert pounds to kilograms?
- A. 1.8
- B. 2.2
- C. 2.5
- D. 2
Correct answer: B
Rationale: The correct factor to convert pounds to kilograms is 2.2. To perform the conversion, you need to divide the number of pounds by 2.2. Choice A (1.8) is incorrect as it's not the standard conversion factor. Choice C (2.5) and Choice D (2) are also incorrect factors for converting pounds to kilograms.
5. 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?
- A. 1/4
- B. 1/3
- C. 1/2
- D. 2/3
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.
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