HESI A2
HESI A2 Math Practice Test 2024
1. A set of temperature readings has a range of 5 degrees Celsius. What does this tell you about the data?
- A. The average temperature is 5 degrees Celsius.
- B. All temperatures are within 5 degrees of each other.
- C. The difference between the highest and lowest temperatures is 5 degrees.
- D. There are exactly 5 temperatures in the set.
Correct answer: C
Rationale: Option A is incorrect because the range of 5 degrees does not necessarily mean that the average temperature is 5 degrees Celsius. The average temperature could be any value within the range. Option B is incorrect because the range of 5 degrees does not mean that all temperatures are within 5 degrees of each other. It only indicates the difference between the highest and lowest temperatures. Option C is correct because the range of 5 degrees specifically refers to the difference between the highest and lowest temperatures in the set. This is a common definition of range in statistics. Option D is incorrect because the range of 5 degrees does not determine the number of temperatures in the set. The set could have more or fewer than 5 temperatures.
2. You need to repaint a cylindrical water tank with a diameter of 2 meters and a height of 3 meters. Assuming one can of paint covers 10 sq m, how many cans do you need to cover only the exterior surface?
- A. 6 cans
- B. 9 cans
- C. 12 cans
- D. 15 cans
Correct answer: C
Rationale: To find the surface area of the cylinder, calculate the lateral surface area using the formula 2πrh, where r is the radius (half of the diameter) and h is the height. Substituting the values, we get 2 * π * 1 * 3 = 6π square meters. Since each can covers 10 sq m, divide the total surface area by the coverage area per can: 6π / 10 ≈ 1.9 cans. Since you can't buy a fraction of a can, you would need to round up, so you would need 2 cans to cover the entire exterior surface. Therefore, you would need 2 * 6 = 12 cans in total. Choices A, B, and D are incorrect as they do not consider the correct surface area calculation or the rounding up to the nearest whole number of cans required.
3. Solve for x. x/250 = 3/500
- A. 1.5
- B. 2
- C. 1500
- D. 25
Correct answer: A
Rationale: To solve the proportion x/250 = 3/500, cross multiply to get 500x = 750. Then solve for x by dividing both sides by 500, which results in x = 1.5. Therefore, the correct answer is A. Choice B (2) is incorrect because the correct solution is 1.5, not 2. Choice C (1500) is incorrect as it does not align with the correct calculation of the proportion. Choice D (25) is incorrect and does not match the correct solution obtained by solving the proportion.
4. Add 2/3 + 4/9.
- A. 8/15
- B. 1
- C. 10/9
- D. 1/2
Correct answer: C
Rationale: To add the fractions, first find a common denominator. The least common denominator between 3 and 9 is 9. Convert 2/3 to 6/9 then add 6/9 + 4/9: = 10/9
5. How many ounces are in a ton?
- A. 32,000 ounces
- B. 30,000 ounces
- C. 35,000 ounces
- D. 40,000 ounces
Correct answer: A
Rationale: The correct answer is A: 32,000 ounces. A ton is equivalent to 2,000 pounds. Since each pound contains 16 ounces, you can calculate the total number of ounces in a ton by multiplying 2,000 pounds by 16 ounces, which equals 32,000 ounces. Choice B (30,000 ounces), Choice C (35,000 ounces), and Choice D (40,000 ounces) are incorrect because they do not correctly calculate the number of ounces in a ton based on the conversion of pounds to ounces.
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