HESI A2
HESI A2 Math 2024
1. Express the ratio of 25:80 as a percentage.
- A. 31.25%
- B. 34%
- C. 41.25%
- D. 43.75%
Correct answer: A
Rationale: To express the ratio 25:80 as a percentage, follow these steps: First, divide 25 by 80: 25/80 = 0.3125. Then, multiply by 100 to convert to a percentage: 0.3125 × 100 = 31.25%. Therefore, the ratio 25:80 is equivalent to 31.25%. Choice A is correct. Choice B (34%) is incorrect because it does not accurately represent the ratio 25:80. Choice C (41.25%) and Choice D (43.75%) are also incorrect as they do not match the calculated percentage for the given ratio.
2. How many kilograms are in 2000 grams?
- A. 20 kilograms
- B. 2 kilograms
- C. 5 kilograms
- D. 10 kilograms
Correct answer: B
Rationale: To convert grams to kilograms, you need to divide by 1000 since there are 1000 grams in a kilogram. Therefore, 2000 grams is equal to 2 kilograms (2000 grams ÷ 1000 = 2 kilograms). The correct answer is B: 2 kilograms. Choice A, 20 kilograms, is incorrect because multiplying by 10 (not dividing by 1000) would give that result. Choice C, 5 kilograms, and Choice D, 10 kilograms, are also incorrect as they do not correctly convert grams to kilograms.
3. Given 15:x=3:8, find x.
- A. x=40
- B. x=20
- C. x=30
- D. x=10
Correct answer: A
Rationale: To find x, we set up the proportion 15:x = 3:8. Cross multiply to get 15*8 = 3*x, which simplifies to 120 = 3x. Dividing by 3 on both sides gives x = 40. Therefore, x=40 is the correct answer. Choices B, C, and D are incorrect because they do not match the correct calculation. Option B results from incorrectly dividing 15 by 3 instead of multiplying it by 8. Option C comes from dividing 15 by 3, and Option D is the result of dividing 15 by 8 instead of multiplying by 3.
4. A set of integers can be classified as positive, negative, or zero. Which of the following statements about multiplying positive and negative integers is ALWAYS true?
- A. The product will always be positive.
- B. The product will always be negative.
- C. The product will depend on the specific positive and negative numbers used.
- D. Positive and negative integers cannot be multiplied.
Correct answer: B
Rationale: When multiplying a positive integer by a negative integer, the product will always be negative. This is a fundamental rule of arithmetic. The sign of the product is determined by the rule that states a positive number multiplied by a negative number results in a negative number. Therefore, the statement that the product will always be negative is always true when multiplying positive and negative integers. Choice A is incorrect because the product is not always positive when multiplying positive and negative integers. Choice C is incorrect because the product is not dependent on the specific numbers but on the signs of the integers being multiplied. Choice D is incorrect as positive and negative integers can be multiplied.
5. How many grams of carbohydrates are in a product if it contains 4 servings, and each serving has 8 grams of carbohydrates?
- A. 32 grams
- B. 28 grams
- C. 24 grams
- D. 20 grams
Correct answer: A
Rationale: To calculate the total grams of carbohydrates in the product, you multiply the number of servings by the grams of carbohydrates per serving. Given that each serving has 8 grams of carbohydrates and there are 4 servings, the total would be 4 servings * 8 grams = 32 grams. Therefore, the correct answer is A: 32 grams. Choices B, C, and D are incorrect as they do not correctly calculate the total grams of carbohydrates based on the information provided.
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