eighty percent of the class passed with a 75 or higher if that percent equaled 24 students how many students were in the whole class
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HESI A2

HESI A2 Math 2024

1. 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?

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.

2. A patient's oxygen flow rate is set at 4 liters per minute. How many cubic centimeters of oxygen are delivered per minute?

Correct answer: B

Rationale: 1 liter is equal to 1,000 cubic centimeters. Therefore, when the oxygen flow rate is 4 liters per minute, the calculation is 4 x 1,000 = 4,000 cubic centimeters. Hence, at a flow rate of 4 liters per minute, 4,000 cubic centimeters of oxygen are delivered per minute. Choice A, 400 cubic centimeters, is incorrect because it miscalculates the conversion from liters to cubic centimeters. Choices C and D, 40,000 cubic centimeters and 400,000 cubic centimeters, respectively, are significantly higher than the correct answer due to incorrect conversions or additional errors in calculation.

3. Change the following fraction into a ratio: 22/91

Correct answer: A

Rationale: To convert a fraction into a ratio, you express it as a ratio of two numbers separated by a colon. Therefore, 22/91 as a ratio is 22:91. Choice B (1/3) is a different fraction not equivalent to 22/91. Choice C (22/91) is the original fraction and not the ratio form. Choice D is irrelevant to the question.

4. How many ounces are in 2 quarts?

Correct answer: D

Rationale: To convert quarts to ounces, you need to multiply by 32 (1 quart = 32 ounces). Therefore, 2 quarts x 32 ounces/quart = 64 ounces. Hence, there are 64 ounces in 2 quarts. Choices A, B, and C are incorrect because they do not reflect the correct conversion factor from quarts to ounces.

5. Square: A garden bed has a side length of 8 meters. What is its perimeter?

Correct answer: C

Rationale: The perimeter of a square is found by adding up all four sides. Since all sides of a square are equal in length, the perimeter is calculated by multiplying the side length by 4. In this case, the side length of the square garden bed is 8 meters. Therefore, the perimeter is 8m x 4 = 32m. Choice A (16m) is incorrect as it represents only half of the perimeter. Choice B (24m) is incorrect because it is the perimeter of a square with a side length of 6 meters, not 8 meters. Choice D (64m) is incorrect as it represents the area of the square, not the perimeter.

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