a landscaper is laying stones for a garden he has 1200 stones each stone covers an area of 075 square feet what is the total area that the stones will
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HESI A2

HESI A2 Math Practice Test 2022

1. A person is laying stones for a garden. They have 1,200 stones. Each stone covers an area of 0.75 square feet. What is the total area that the stones will cover?

Correct answer: A

Rationale: To find the total area covered by the stones, multiply the number of stones by the area each stone covers: 1,200 stones * 0.75 sq ft = 900 sq ft. Therefore, the stones will cover 900 sq ft, which is closest to 800 sq ft among the answer choices A, B, C, and D. The correct answer is A, 800 sq ft. Choices B, C, and D are incorrect as they do not result from the correct calculation of multiplying the number of stones by the area each stone covers.

2. A decorative globe has a diameter of 25cm. What is its total surface area?

Correct answer: B

Rationale: To find the total surface area of a sphere, you can use the formula: 4 * π * (radius)^2, where the radius is half the diameter. Given that the diameter is 25cm, the radius is half of that, which is 12.5cm. Substitute this value into the formula: 4 * π * (12.5cm)^2 ≈ 1963 sq cm. Therefore, the total surface area of the decorative globe is approximately 1963 sq cm. Choices A, C, and D are incorrect as they do not correspond to the correct calculation.

3. What is the result of dividing 5 3/4 by 1/2?

Correct answer: A

Rationale: When dividing fractions, you multiply by the reciprocal of the divisor. To divide 5 3/4 by 1/2, you multiply 5 3/4 by 2/1 (reciprocal of 1/2) to get 23/4 * 2/1 = 46/4 = 11 1/2. Therefore, the correct answer is A. Choice B (2 & 3/8) is incorrect as it does not result from dividing 5 3/4 by 1/2. Choice C (3 & 1/8) is incorrect as well. Choice D (18) is not the correct result of the division performed.

4. Sally was able to eat 5/8 of her lunch. John ate 75% of his lunch. Who ate more?

Correct answer: A

Rationale: To compare the portions eaten by Sally and John, it's necessary to express both in the same denominator. Since 75% is equivalent to 6/8, John ate 6/8 while Sally ate 5/8 of their lunches. Therefore, John ate more than Sally. Choice A is correct. Choice B is incorrect as John ate 6/8 compared to Sally's 5/8. Choice C is incorrect as the amounts eaten are different. Choice D is incorrect as it can be determined based on the given information.

5. Rewrite the following expression as a decimal: 5/8

Correct answer: C

Rationale: To convert a fraction to a decimal, divide the numerator by the denominator. In this case, 5 ÷ 8 = 0.625. Therefore, the correct answer is 0.625. Choice A (0.7) is incorrect as it represents 7/10, choice B (0.325) is incorrect as it represents 325/1000, and choice D (5.8) is incorrect as it is not the result of dividing 5 by 8.

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