HESI A2
HESI A2 Quizlet Math
1. If a person wants to plant 65,536 trees so that the number of rows equals the number of trees in each row, how many trees should they plant in each row?
- A. 1684
- B. 1268
- C. 668
- D. 256
Correct answer: D
Rationale: To plant 65,536 trees with the same number of rows and trees in each row, you need to calculate the square root of 65,536. The square root of 65,536 is 256. Therefore, planting 256 trees in each row would result in 256 rows with 256 trees in each row, totaling 65,536 trees. Choices A, B, and C are incorrect as they do not provide the correct calculation based on the requirements of the question.
2. Change the following fraction into a ratio: 19/40
- A. 19:40
- B. 40:19
- C. 19:4
- D. 40:4
Correct answer: A
Rationale: To change a fraction into a ratio, you replace the fraction bar (/) with a colon (:). Therefore, 19/40 as a ratio is written as 19:40. Choice B (40:19) is incorrect as it reverses the order of the numbers. Choice C (19:4) is incorrect as it uses the denominator as the second number, which is not the correct way to represent a ratio. Choice D (40:4) is incorrect as it does not reflect the original fraction accurately.
3. How many kilograms are in 4,000 grams?
- A. 4 kilograms
- B. 5 kilograms
- C. 1 kilogram
- D. 2 kilograms
Correct answer: A
Rationale: To convert grams to kilograms, divide by 1,000 because there are 1,000 grams in a kilogram. Therefore, 4,000 grams ÷ 1,000 = 4 kilograms. Choice A is correct as it represents the correct conversion. Choice B, 5 kilograms, is incorrect because it is not the result of dividing 4,000 grams by 1,000. Choice C, 1 kilogram, is incorrect because 4,000 grams is more than 1 kilogram. Choice D, 2 kilograms, is incorrect as it is not the correct conversion from grams to kilograms.
4. How much paint do you need to paint the interior walls and floor of a rectangular swimming pool with dimensions 8m by 5m and a depth of 2m? (Assume one can of paint covers 10 sq m)
- A. 56 sq m
- B. 72 sq m
- C. 88 sq m
- D. 104 sq m
Correct answer: C
Rationale: To calculate the total area to be painted, find the area of each wall and the floor, sum them up, and subtract the area of the top surface of the pool. The area to be painted is (2*8 + 2*5 + 8*5) = 16 + 10 + 40 = 66 sq m. Since one can of paint covers 10 sq m, divide the total area (66 sq m) by the coverage area per can to determine the number of cans needed. Therefore, you need 88 sq m of paint, which is equivalent to 9 cans of paint. Choice A, B, and D are incorrect as they do not represent the correct calculation of the total area to be painted.
5. Solve for x: x/250 = 3/500
- A. 1.5
- B. 25.5
- C. 1500
- D. 2.5
Correct answer: A
Rationale: To solve for x in the equation x/250 = 3/500, you can cross-multiply: x*500 = 3*250. Therefore, 500x = 750. Now, divide both sides by 500: x = 750/500. Simplifying, x = 1.5. Therefore, the correct answer is A, 1.5. Choice B, 25.5, is incorrect as it does not match the correct calculation. Choice C, 1500, is incorrect as it is not the result of solving the equation given. Choice D, 2.5, is incorrect as well, as it does not align with the correct value of x obtained from the equation.
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