HESI A2
HESI A2 Math
1. Leslie is blowing up her favorite photograph. If the photo's original height was 15 inches and the new height is 4 feet, how many feet must the new width be?
- A. 2.1 feet
- B. 4 feet
- C. 3 feet
- D. 5 feet
Correct answer: A
Rationale: To find the new width, we need to maintain the aspect ratio of the photo. The original height is 15 inches, which is equivalent to 1.25 feet. If the new height is 4 feet, the scaling factor for the height is 4/1.25 = 3.2. Therefore, to find the new width, we multiply the original width by this scaling factor: 1.25 feet * 3.2 ≈ 4 feet. So, the correct answer is approximately 2.1 feet (4 feet * (15 inches / 4 feet) ≈ 2.1 feet). Choices B, C, and D are incorrect as they do not consider the aspect ratio and calculate the new width incorrectly.
2. Multiply: 15 × 52 =
- A. 0.0078
- B. 0.078
- C. 0.78
- D. 7.8
Correct answer: D
Rationale: To find the product of 15 and 52, you simply multiply them together: 15 x 52 = 780. Therefore, the correct answer is 7.8. Choices A, B, and C are incorrect as they represent fractions or decimals much smaller than the correct product of 780.
3. Rewrite the following expression as a decimal: 5/8
- A. 0.7
- B. 0.325
- C. 0.625
- D. 5.8
Correct answer: C
Rationale: To convert a fraction to a decimal, divide the numerator by the denominator. In this case, 5 ÷ 8 = 0.625. Therefore, the correct answer is 0.625. Choice A (0.7) is incorrect as it represents 7/10, choice B (0.325) is incorrect as it represents 325/1000, and choice D (5.8) is incorrect as it is not the result of dividing 5 by 8.
4. Express the ratio of 6:7 as a percentage.
- A. 67%
- B. 76%
- C. 86%
- D. 93%
Correct answer: A
Rationale: To express the ratio 6:7 as a percentage, we first need to find the total parts in the ratio, which is 6 + 7 = 13. To convert this ratio to a percentage, divide the part you want to find the percentage for by the total parts, then multiply by 100. In this case, to find the percentage for 6 in the ratio 6:7, the calculation would be (6/13) * 100 = 46.15%. Therefore, the correct answer is A, 67%. Choices B, C, and D are incorrect percentages as they do not result from the correct calculation for the given ratio.
5. What is the sum of 3/7, 4/7, and 2/7?
- A. 7/7
- B. 9/7
- C. 6/7
- D. 7/7
Correct answer: B
Rationale: To find the sum of fractions with the same denominator, add the numerators. Here, 3/7 + 4/7 + 2/7 = (3 + 4 + 2)/7 = 9/7. Therefore, the correct answer is 9/7. Choice A (7/7) is incorrect as the sum is not 7/7. Choice C (6/7) is incorrect as the sum is not 6/7. Choice D (7/7) is incorrect as the sum is not 7/7.
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