HESI A2
HESI A2 Quizlet Math
1. How many feet are in 3 yards?
- A. 18 feet
- B. 9 feet
- C. 12 feet
- D. 27 feet
Correct answer: B
Rationale: To convert yards to feet, you multiply by 3, as 1 yard is equal to 3 feet. Therefore, 3 yards equals 3 x 3 = 9 feet. Choice A (18 feet) is incorrect because it multiplies by 2 instead of 3. Choice C (12 feet) is incorrect as it multiplies by 4 instead of 3. Choice D (27 feet) is incorrect as it multiplies by 9 instead of 3.
2. How many meters are in 5 kilometers?
- A. 1000
- B. 5000
- C. 10000
- D. 500
Correct answer: B
Rationale: To convert kilometers to meters, you need to multiply the number of kilometers by 1000 since there are 1000 meters in 1 kilometer. Therefore, 5 kilometers is equal to 5 × 1000 = 5000 meters. Choice A (1000) is incorrect because it represents the number of meters in 1 kilometer, not 5 kilometers. Choice C (10000) is incorrect as it is the result of multiplying 10 (not 5) by 1000. Choice D (500) is incorrect as it represents half the correct conversion value.
3. What number is 80 125% of?
- A. 48
- B. 64
- C. 68
- D. 78
Correct answer: B
Rationale: To find the number that 80 is 125% of, we can set up the equation: x = 80 / 1.25. Solving this equation gives x = 64. Therefore, 80 is 125% of 64. Choice A (48) is incorrect because it is not the correct value that 80 is 125% of. Choice C (68) is incorrect as it is not the value that satisfies the given percentage relationship. Choice D (78) is incorrect as it does not match the calculation result.
4. What is the total perimeter of a playground fence that has a rectangular section (5m by 3m) attached to a semicircular section with a radius of 2m?
- A. 13m
- B. 16m
- C. 19m
- D. 22m
Correct answer: D
Rationale: To find the total perimeter, we first calculate the perimeter of the semicircle, which is half of a full circle, so the formula is π * radius. For the semicircle with a radius of 2m, the perimeter is approximately 3.14 * 2m = 6.28m. Next, we calculate the perimeter of the rectangular section by adding twice the length and twice the width (2 * length + 2 * width). For the rectangle with dimensions 5m by 3m, the perimeter is 2 * 5m + 2 * 3m = 10m + 6m = 16m. Finally, we sum the perimeters of the semicircle and the rectangle to get the total perimeter: 6.28m + 16m = 22.28m. Rounding to the nearest meter, the total perimeter is approximately 22m. Therefore, the correct answer is 22m. Choices A, B, and C are incorrect as they do not accurately calculate the total perimeter of the playground fence.
5. 4 7/8 divided by 1 1/6 equals what?
- A. 4 & 6/8
- B. 4 & 7/8
- C. 5 & 8/14
- D. 4 & 5/28
Correct answer: D
Rationale: To divide 4,7/8 by 1,1/6: Convert to improper fractions: 4,7/8 = 39/8 1,1/6 = 7/6 Divide by multiplying by the reciprocal: 39/8 × 6/7 = 234/56 Simplify: 234/56 = 117/28 or 4,5/28
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