if 30 of a given number is 18 what is the full number
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HESI A2

HESI A2 Practice Test Math

1. If 30% of a given number is 18, what is the full number?

Correct answer: A

Rationale: If 30% of a number is 18, you can find the full number by dividing 18 by 0.30 (the decimal equivalent of 30%). This calculation results in 60. Therefore, the full number is 60. Choice B (30) is the result if 30% of the number itself was calculated, not the full number. Choices C (40) and D (45) are incorrect and do not align with the given information.

2. If a person consumes 500 calories per meal, how many calories will they consume in 3 meals?

Correct answer: B

Rationale: To find the total calories consumed in 3 meals, you multiply the number of meals by the calories per meal: 3 meals x 500 calories/meal = 1500 calories. Therefore, the correct answer is 1500 calories. Choice A (1000 calories) is incorrect because it miscalculates the total calories. Choice C (2000 calories) is incorrect as it overestimates the total calories. Choice D (500 calories) is incorrect as it represents the calories consumed in a single meal, not in 3 meals.

3. How many milliliters are in 5 liters?

Correct answer: A

Rationale: To convert liters to milliliters, remember there are 1,000 milliliters in a liter. So, to find how many milliliters are in 5 liters, you multiply 5 (liters) by 1,000 (milliliters per liter), which equals 5,000 milliliters. Choice A is correct as it converts 5 liters to milliliters accurately. Choice B, 50 milliliters, is incorrect as it mistakenly converts liters to milliliters by a factor of 100 instead of 1,000. Choice C, 500 milliliters, is incorrect as it also wrongly converts liters to milliliters by a factor of 10 instead of 1,000. Choice D, 0.5 milliliters, is incorrect as it inaccurately converts 5 liters to 0.5 milliliters, which is not correct.

4. A bookshelf has triangular shelves with a base of 40cm and a height of 30cm. The depth of the shelf is 25cm. What is the volume of each shelf?

Correct answer: B

Rationale: To find the volume of the triangular shelf, first calculate the area of the triangle (1/2 * base * height) which is (1/2 * 40 * 30) = 600 sq cm. Then, multiply this area by the depth of the shelf (600 * 25) = 15000 cu cm. Therefore, the volume of each shelf is 3750 cu cm. Choice A, C, and D are incorrect as they do not correctly calculate the volume based on the dimensions provided.

5. 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.

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