HESI A2
HESI A2 Math Practice Test 2023
1. Which of the following fractions is the largest? 3/8, 3/9, 3/6, 3/7
- A. 3/7
- B. 3/6
- C. 3/9
- D. 3/8
Correct answer: A
Rationale: To determine the largest fraction, it's helpful to convert them to decimals for easier comparison. Converting the fractions to decimals gives: 3/8 = 0.375, 3/9 = 0.333, 3/6 = 0.5, and 3/7 ≈ 0.429. Therefore, 3/7 is the largest fraction among the given options. Choice B, 3/6, is actually equivalent to 3/6 = 0.5 which is greater than 3/7. Choices C and D are smaller fractions compared to 3/7, making them incorrect.
2. An architect is designing a rectangular room. The room has an area of 225 square feet and a width of 15 feet. What is the length of the room?
- A. 30 feet
- B. 15 feet
- C. 25 feet
- D. 45 feet
Correct answer: B
Rationale: The formula for the area of a rectangle is: Area = Length × Width. To find the length, divide the area by the width: 225 ÷ 15 = 15 feet. Therefore, the correct answer is 15 feet. Choice A (30 feet) is incorrect because it is the product of the area and the width, not the length. Choice C (25 feet) is incorrect as it does not match the result of dividing the area by the width. Choice D (45 feet) is incorrect as it is not the result of the calculation needed to find the length.
3. What is the result of 32 divided by 8/9?
- A. 4 & 1/9
- B. 4
- C. 36
- D. 28 & 4/9
Correct answer: C
Rationale: To divide by a fraction, we can multiply by its reciprocal. Therefore, dividing 32 by 8/9 is the same as multiplying 32 by 9/8, which equals 36. The correct answer is C. Choice A, 4 & 1/9, is incorrect because the result is a whole number. Choice B, 4, is incorrect as it does not consider the fraction. Choice D, 28 & 4/9, is incorrect as it is not the result of dividing 32 by 8/9.
4. Eighty percent of the class passed with a 75 or higher. If that percentage equals 24 students, how many students were in the whole class?
- A. 18
- B. 30
- C. 36
- D. 60
Correct answer: C
Rationale: If 80% of the class passed with a 75 or higher, and that equals 24 students, you can set up a proportion to find the total number of students in the class. Since 80% is equal to 24 students, 100% (the whole class) would be equal to (24/80) x 100 = 30 students. Therefore, the total number of students in the whole class is 30 / 80 x 100 = 36. Choice A (18) is incorrect as it does not match the calculation based on the information given. Choice B (30) is incorrect because it represents the intermediate calculation but not the total number of students in the class. Choice D (60) is incorrect as it is double the correct answer and does not align with the given information.
5. A patient's height is 1.65 meters and their weight is 75kg. Calculate their BMI and interpret the result.
- A. 23.1 (Normal)
- B. 25.3 (Overweight)
- C. 27.7 (Overweight)
- D. 32.8 (Obese)
Correct answer: C
Rationale: To calculate BMI, divide weight (75kg) by height squared (1.65m^2) to get BMI (27.7). A BMI of 27.7 falls within the 'overweight' category (25-29.9 BMI). Choice A is incorrect as a BMI of 23.1 would be in the 'normal' range (18.5-24.9 BMI). Choice B is incorrect as 25.3 falls within the 'overweight' category. Choice D is incorrect as 32.8 is in the 'obese' category (>30 BMI). Therefore, the correct answer is C.
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