HESI A2
HESI A2 Math Practice Exam
1. If 9 out of 75 band members missed practice, what percentage of band members missed practice?
- A. 10%
- B. 12%
- C. 15%
- D. 18%
Correct answer: B
Rationale: To calculate the percentage of band members who missed practice, divide the number of members who missed practice (9) by the total number of band members (75) and multiply by 100. (9/75) * 100 = 12%. Therefore, 12% of the band members missed practice. Choice A (10%) is incorrect because it is not the correct calculation result. Choices C (15%) and D (18%) are also incorrect as they do not reflect the accurate percentage of band members who missed practice.
2. What is the result of adding 7/21 + 10/21?
- A. 17/21
- B. 15/21
- C. 9/21
- D. 10/21
Correct answer: A
Rationale: When adding fractions with the same denominator, you simply add the numerators while keeping the denominator the same. In this case, 7/21 + 10/21 = 17/21. Therefore, the correct answer is A. Choice B (15/21) is incorrect because it adds the numerators incorrectly. Choice C (9/21) is incorrect as it does not reflect the sum of the fractions provided. Choice D (10/21) is also incorrect as it does not represent the correct sum of the two fractions.
3. A car travels 240 miles in 4 hours. What is its speed in miles per hour?
- A. 50 mph
- B. 60 mph
- C. 55 mph
- D. 75 mph
Correct answer: B
Rationale: To calculate speed, divide the distance traveled by the time taken: 240 miles ÷ 4 hours = 60 mph. Therefore, the correct answer is B. Choice A (50 mph) is incorrect as it results from an incorrect calculation. Choice C (55 mph) and D (75 mph) are also incorrect because they are not the correct result of dividing 240 miles by 4 hours.
4. How much paint do you need to paint the interior walls and floor of a rectangular swimming pool with dimensions 8m by 5m and a depth of 2m? (Assume one can of paint covers 10 sq m)
- A. 56 sq m
- B. 72 sq m
- C. 88 sq m
- D. 104 sq m
Correct answer: C
Rationale: To calculate the total area to be painted, find the area of each wall and the floor, sum them up, and subtract the area of the top surface of the pool. The area to be painted is (2*8 + 2*5 + 8*5) = 16 + 10 + 40 = 66 sq m. Since one can of paint covers 10 sq m, divide the total area (66 sq m) by the coverage area per can to determine the number of cans needed. Therefore, you need 88 sq m of paint, which is equivalent to 9 cans of paint. Choice A, B, and D are incorrect as they do not represent the correct calculation of the total area to be painted.
5. Divide and simplify: 4⅛ ÷ 1½ =
- A. 4½
- B. 4¼
- C. 2¾
- D. 2¼
Correct answer: C
Rationale: To divide mixed numbers, we first convert them to improper fractions. Converting 4⅛ to an improper fraction gives us 33/8, and converting 1½ gives us 3/2. Dividing 33/8 by 3/2, we multiply the first fraction by the reciprocal of the second. This gives us (33/8) / (3/2) = (33/8) * (2/3) = 66/24 = 11/4, which simplifies to 2¾. Therefore, the correct answer is 2¾. Choices A, B, and D are incorrect as they do not represent the correct result of dividing 4⅛ by 1½.
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