HESI A2
HESI A2 Math Portion
1. Rebecca is able to paint 12 pickets on her picket fence in an hour. Her fence is 72 feet long, with 2 pickets per foot. How long will it take her to paint the fence?
- A. 2.4 hours
- B. 6 hours
- C. 12 hours
- D. 16.4 hours
Correct answer: B
Rationale: Rebecca can paint 12 pickets in 1 hour, which means she can paint 12 * 2 = 24 pickets in an hour. Since the fence is 72 feet long with 2 pickets per foot, she needs to paint a total of 72 * 2 = 144 pickets. If she paints 24 pickets per hour, it will take her 144 / 24 = 6 hours to paint the entire fence. Choice A (2.4 hours) is incorrect because it does not consider the total number of pickets on the fence. Choice C (12 hours) is incorrect as it overestimates the time needed based on her painting rate. Choice D (16.4 hours) is incorrect as it miscalculates the time required to paint the entire fence.
2. If Randy sells 8 times as many vacuum cleaners as Janice, and Janice sells 690 vacuum cleaners per year, on average, how many does Randy sell each month?
- A. 4,600
- B. 5,520
- C. 6,400
- D. 8,320
Correct answer: B
Rationale: If Janice sells 690 vacuum cleaners per year, Randy sells 8 times that amount, which is 690 x 8 = 5,520 vacuum cleaners per year. To find out how many Randy sells each month, you divide 5,520 by 12 (months), which equals 460 vacuum cleaners per month. Therefore, Randy sells 5,520 vacuum cleaners per year divided by 12 months, which equals 460 vacuum cleaners per month. Choices A, C, and D are incorrect as they do not reflect the correct calculation based on the information provided.
3. Subtract 2 & 5/8 - 7/8 and reduce.
- A. 1 & 5/8
- B. 1 & 6/8
- C. 1 & 3/4
- D. 1 & ¼
Correct answer: C
Rationale: To subtract 7/8 from 2 & 5/8, you need to borrow 1 whole from the 2, making it 1 whole and 13/8. Then, subtracting 7/8 from 13/8 results in 6/8, which simplifies to 3/4. Therefore, the answer is 1 & 3/4. Choice A (1 & 5/8) is incorrect as the correct answer is 1 & 3/4. Choice B (1 & 6/8) can be simplified to 1 & 3/4, which is the correct answer. Choice D (1 & ¼) is incorrect as the subtraction result is greater than 1, making the whole number part 1.
4. What is the result of dividing 2,032 by 25?
- A. 91 r3
- B. 81 r28
- C. 81 r7
- D. 9 r3
Correct answer: C
Rationale: When dividing 2,032 by 25, you find that 25 goes into 2,032 a total of 81 times without exceeding it. The remainder is 7, not 28 as stated in choice B. This is because 25 * 81 = 2,025, leaving a difference of 7, not 28. Choice A and D are incorrect because they do not correctly represent the division result of 2,032 by 25.
5. The physician ordered 20 mg of Tylenol per kg of body weight; on hand is 80 mg per tablet. The child weighs 12 kg. How many tablets will you give?
- A. 1 tablet
- B. 3 tablets
- C. 2 tablets
- D. 4 tablets
Correct answer: B
Rationale: To calculate the total dose of Tylenol for the child weighing 12 kg, multiply the weight by the ordered dose: 12 kg x 20 mg/kg = 240 mg. Since each tablet contains 80 mg of Tylenol, divide the total dose needed by the amount per tablet: 240 mg ÷ 80 mg/tablet = 3 tablets. Therefore, the correct answer is 3 tablets. Choices A, C, and D are incorrect because they do not reflect the accurate calculation for the number of tablets required based on the child's weight and the ordered dose per kg.
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