HESI A2
HESI A2 Math Portion
1. Divide: 92 รท 11 =
- A. 8 r3
- B. 8 r4
- C. 8 r7
- D. 9 r1
Correct answer: B
Rationale: To divide 92 by 11, you get 8 as the whole number part of the quotient. The remainder is 4, so the correct answer is 8 r4. Choice A, 8 r3, is incorrect because the remainder is 4, not 3. Choice C, 8 r7, is incorrect as the remainder cannot be greater than the divisor. Choice D, 9 r1, is incorrect as the whole number part of the quotient is 8, not 9.
2. If 30% of a given number is 18, what is the full number?
- A. 60
- B. 30
- C. 40
- D. 45
Correct answer: A
Rationale: If 30% of a number is 18, you can find the full number by dividing 18 by 0.30 (the decimal equivalent of 30%). This calculation results in 60. Therefore, the full number is 60. Choice B (30) is the result if 30% of the number itself was calculated, not the full number. Choices C (40) and D (45) are incorrect and do not align with the given information.
3. If a horse can trot around a track twice in 10 minutes, how many times will it circle the track at that same speed in half an hour?
- A. 3 times
- B. 5 times
- C. 6 times
- D. 10 times
Correct answer: C
Rationale: If a horse can trot around a track twice in 10 minutes, it completes one circle in 5 minutes. To determine how many times it will circle the track in half an hour (30 minutes), divide the total time by the time taken for one circle: 30 minutes / 5 minutes per circle = 6 times. Therefore, the horse will circle the track 6 times at the same speed in half an hour. Choice A, 3 times, is incorrect as it does not consider the correct time taken for a single circle. Choice B, 5 times, is incorrect as it miscalculates the total number of circles within half an hour. Choice D, 10 times, is incorrect as it overestimates the number of circles the horse can complete in the given time frame.
4. What is the ratio of women to the total number of students in the class?
- A. 4:7
- B. 16:28
- C. 3:5
- D. 2:3
Correct answer: A
Rationale: To find the ratio of women to the total number of students, you need to simplify the ratio of 16:28. By dividing both numbers by the greatest common factor, which is 4, you get 4:7. Therefore, the correct ratio of women to the total number of students is 4:7. Choice A is correct. Choices C and D are incorrect because they do not represent a valid ratio. Choice B is the original ratio given in the question, which should be simplified to 4:7 as explained in the rationale.
5. 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.
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