HESI A2
HESI A2 Math
1. A marathon runner completes 21.4 miles and burns 2276 calories. What is her rate of calories burned per mile?
- A. 106.3
- B. 106.4
- C. 106.355
- D. 106.36
Correct answer: B
Rationale: To find the rate of calories burned per mile, divide the total calories burned by the total miles run. In this case, 2276 calories ÷ 21.4 miles = 106.4 calories per mile. Therefore, the correct answer is B. Choice A (106.3) is incorrect because it is slightly lower than the calculated value. Choice C (106.355) is incorrect as it is a more precise value than the calculation result. Choice D (106.36) is also incorrect as it is a more precise value than the calculated answer.
2. Stewart has 56 acres of land. He wants to divide the land into plots of 0.25 acres. How many plots of land will Stewart have after he divides the 56 acres?
- A. 224 plots
- B. 220 plots
- C. 210 plots
- D. 230 plots
Correct answer: A
Rationale: To find the number of plots, divide 56 acres by 0.25 acres per plot: 56 ÷ 0.25 = 224 plots. Therefore, Stewart will have 224 plots of land after dividing the 56 acres. The correct answer is A because dividing 56 acres by 0.25 acres per plot gives 224 plots, not 220, 210, or 230 plots.
3. A school has 500 students, and 60% of them are girls. How many girls are there in the school?
- A. 250 girls
- B. 300 girls
- C. 200 girls
- D. 350 girls
Correct answer: B
Rationale: Correct! To find out how many girls are in the school, you need to calculate 60% of 500. 60% of 500 is 0.6 * 500 = 300. Therefore, there are 300 girls in the school. Choice A (250 girls) is incorrect because 60% of 500 is not 250. Choice C (200 girls) is incorrect as it is less than 300. Choice D (350 girls) is incorrect as it is more than 300.
4. What is 25% of 400?
- A. 800
- B. 10,000
- C. 200
- D. 100
Correct answer: D
Rationale: To find 25% of a number, multiply the number by 0.25 (since 25% is the same as 25/100 or 0.25). In this case, 400 x 0.25 = 100. Therefore, 25% of 400 equals 100. Choice A, 800, is incorrect because it is the result of multiplying 400 by 2, not by 0.25. Choice B, 10,000, is also incorrect as it is significantly higher than the correct answer. Choice C, 200, is incorrect as it is the result of dividing 400 by 2, not by 0.25.
5. 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.
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