HESI A2
HESI A2 Math Portion
1. Divide: 92 ÷ 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. 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.
3. Repeating decimals can be expressed as fractions. Which of the following represents the decimal 0.7777... as a fraction?
- A. 77/1000
- B. 70/99
- C. 777/900
- D. 7/9
Correct answer: D
Rationale: To express the repeating decimal 0.7777... as a fraction, let x = 0.7777... Multiplying both sides by 10 to shift the decimal point to the right gives: 10x = 7.7777... Subtracting the original equation from the new equation eliminates the repeating decimal: 10x - x = 7.7777... - 0.7777... 9x = 7 x = 7/9. Therefore, the decimal 0.7777... can be expressed as the fraction 7/9. Choices A, B, and C are incorrect as they do not accurately represent the decimal 0.7777... when converted to a fraction.
4. A patient needs to take 2 tablets for every 30 pounds of body weight. If they weigh 150 pounds, how many tablets should they take?
- A. 5
- B. 10
- C. 15
- D. 20
Correct answer: B
Rationale: Rationale: - The patient needs to take 2 tablets for every 30 pounds of body weight. - If the patient weighs 150 pounds, we can calculate the number of tablets needed by dividing the weight by 30 and then multiplying by 2. - 150 pounds / 30 pounds = 5 - 5 x 2 = 10 tablets - Therefore, the patient should take 10 tablets.
5. A train travels at a constant speed of 60 mph for 2 hours. How many miles did the train travel?
- A. 120 miles
- B. 180 miles
- C. 100 miles
- D. 240 miles
Correct answer: A
Rationale: To determine the distance traveled by the train, you multiply the speed by the time: 60 mph × 2 hours = 120 miles. Therefore, the correct answer is 120 miles. Choice B, 180 miles, is incorrect as it results from multiplying the speed by 3 hours instead of 2. Choice C, 100 miles, is incorrect as it results from multiplying the speed by 1.5 hours. Choice D, 240 miles, is incorrect as it results from multiplying the speed by 4 hours instead of 2.
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