square a garden bed has a side length of 8 meters what is its perimeter
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HESI A2

HESI A2 Math

1. Square: A garden bed has a side length of 8 meters. What is its perimeter?

Correct answer: C

Rationale: The perimeter of a square is found by adding up all four sides. Since all sides of a square are equal in length, the perimeter is calculated by multiplying the side length by 4. In this case, the side length of the square garden bed is 8 meters. Therefore, the perimeter is 8m x 4 = 32m. Choice A (16m) is incorrect as it represents only half of the perimeter. Choice B (24m) is incorrect because it is the perimeter of a square with a side length of 6 meters, not 8 meters. Choice D (64m) is incorrect as it represents the area of the square, not the perimeter.

2. A patient needs to increase his calcium intake. If each tablet contains 500 mg of calcium and the patient needs to take 1,500 mg per day, how many tablets should the patient take?

Correct answer: A

Rationale: To calculate the number of tablets needed, divide the total daily calcium intake required (1,500 mg) by the amount of calcium in each tablet (500 mg). 1,500 mg รท 500 mg = 3 tablets. Therefore, the patient should take 3 tablets to meet the 1,500 mg daily intake. Choice B, 4 tablets, is incorrect because it would exceed the required 1,500 mg. Choice C, 2 tablets, is insufficient to meet the daily intake. Choice D, 5 tablets, is also incorrect as it would exceed the required amount.

3. A die is rolled. What is the probability of getting 5?

Correct answer: A

Rationale: The correct answer is A: 16.67%. When rolling a standard 6-sided die, each face has an equal probability of 1/6. Therefore, the probability of rolling a 5 specifically is 1/6, which is approximately 16.67% when converted to a percentage. Choices B, C, and D are incorrect because they do not reflect the correct probability of rolling a 5 on a standard die.

4. A plan for a shed is drawn on a 1:10 scale. If the roof of the real shed measures 4 feet by 5 feet, what were the measurements on the plan?

Correct answer: B

Rationale: When the real shed roof measures 4 feet by 5 feet, on a 1:10 scale plan, the measurements on the plan would be 1/10 of the real measurements. Therefore, the correct answer is 40 inches by 50 inches since it represents 1/10 of 4 feet by 5 feet. Choice A (80 inches by 100 inches) is incorrect because it is equivalent to the real shed measurements, not the scaled plan. Choice C (4.8 inches by 6 inches) is incorrect as it does not reflect the 1:10 scale reduction. Choice D (4 inches by 5 inches) is incorrect because it does not consider the scale factor of 1:10.

5. The physician ordered 3,000 units of heparin; 5,000 U/mL is on hand. How many milliliters will you give?

Correct answer: B

Rationale: To calculate the volume of heparin needed, use the formula: Volume of Heparin = (Ordered Units / Concentration of Heparin). Substituting the values, Volume = (3,000 units / 5,000 U/mL) = 0.6 ml. Therefore, the correct answer is 0.6 ml. Choice A (0.5 ml) is incorrect as it results from an incorrect calculation. Choices C (0.75 ml) and D (0.8 ml) are also incorrect calculations based on the wrong formula application or mathematical errors.

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