subtract 32 divided by 89
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HESI A2

HESI A2 Math Practice Test 2023

1. Subtract 32 divided by 8\9.

Correct answer: A

Rationale: 32 ÷ (8\9) is the same as 32 × (9\8) = 36.

2. How many more yellow balls must be added to the basket to make the yellow balls constitute 65% of the total number of balls?

Correct answer: B

Rationale: To find the total number of balls needed to make the yellow balls 65% of the total, let x be the total number of balls required. Initially, there are 15 yellow balls. The total number of balls would be 15 + x after adding more yellow balls. The equation to represent this is: (15 + x) / (15 + x) = 0.65 (since the yellow balls need to constitute 65% of the total). Solving this equation gives x = 50, indicating that 50 more yellow balls need to be added to the basket to reach the desired percentage. Choice A, C, and D are incorrect as they do not accurately represent the additional yellow balls needed to achieve the specified percentage.

3. How many ounces are in 3 quarts?

Correct answer: D

Rationale: There are 32 ounces in a quart. Therefore, 3 quarts would be equal to 3 quarts x 32 ounces = 96 ounces. The correct answer is D. Choice A, 64 ounces, is incorrect as it miscalculates the conversion from quarts to ounces. Choice B, 32 ounces, is the conversion for 1 quart, not 3 quarts. Choice C, 48 ounces, is also an incorrect calculation, not considering the correct conversion rate.

4. If a student earns $120 for a 10-hour tutoring session and works 6 hours, how much did the student earn?

Correct answer: A

Rationale: To find the amount earned for 6 hours of work, calculate the hourly rate by dividing the total earnings ($120) by the total hours worked (10 hours): $120 ÷ 10 = $12 per hour. Then, multiply the hourly rate by the number of hours worked (6): $12 × 6 = $72. Therefore, the student earned $72 for working 6 hours. Choice B ($90) is incorrect because it miscalculates the hourly rate. Choice C ($80) is incorrect as it does not consider the correct hourly rate. Choice D ($50) is incorrect as it calculates the earnings based on the wrong hourly rate.

5. A birdbath has a hemispherical bowl with a diameter of 30cm. What is its volume?

Correct answer: C

Rationale: To find the volume of a hemispherical bowl, we use half the formula for a sphere's volume: (2/3) * π * (radius)^3. Given the diameter is 30cm, the radius is half of that, which is 15cm. Substitute the radius into the formula: (2/3) * π * (15cm)^3 ≈ 2700 cu cm. Therefore, the correct volume is approximately 2700 cu cm. Choices A, B, and D are incorrect as they do not correctly calculate the volume of the hemispherical bowl.

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