Nursing Elites

1. How do you find the radius of a circle when given the diameter? How do you find the radius of a circle when given the circumference?

• A. Radius = Diameter ÷ 2; Radius = Circumference ÷ 2π
• B. Radius = Diameter ÷ 3; Radius = Circumference ÷ π
• C. Radius = Diameter × 2; Radius = Circumference × 2π
• D. Radius = Diameter ÷ 4; Radius = Circumference ÷ π

Correct answer: A

Rationale: The correct way to find the radius of a circle when given the diameter is by dividing the diameter by 2 to get the radius (Radius = Diameter ÷ 2). When given the circumference, you need to divide the circumference by 2π to find the radius (Radius = Circumference ÷ 2π). Choice A provides the accurate formulas for finding the radius in both scenarios. Choices B, C, and D present incorrect formulas that do not align with the correct calculations for determining the radius of a circle based on the given information.

2. A farmer plans to install fencing around a certain field. If each side of the hexagonal field is 320 feet long, and fencing costs $1.75 per foot, how much will the farmer need to spend on fencing material to enclose the perimeter of the field?

• A. $2,240
• B. $2,800
• C. $3,360
• D. $4,480

Correct answer: C

Rationale: To find the perimeter of a hexagonal field with 6 sides, multiply the length of one side (320 feet) by the number of sides (6): 320 x 6 = 1920 feet. The total cost of the fencing material can be calculated by multiplying the perimeter by the cost per foot: 1920 feet x $1.75 = $3360. Therefore, the farmer will need to spend $3,360 on fencing material to enclose the perimeter of the field. Choice A, B, and D are incorrect as they do not accurately calculate the total cost based on the given measurements and cost per foot.

3. What is 1.25 as a fraction?

• A. 1 1/4
• B. 5/4
• C. 4/5
• D. 25/20

Correct answer: B

Rationale: To convert a decimal to a fraction, we note that 1.25 can be expressed as 1 + 0.25. Since 0.25 is equivalent to 25/100 or 1/4, we add 1 whole to 1/4 to get 1 1/4, which simplifies to 5/4. Therefore, 1.25 as a fraction is 5/4. Choice A (1 1/4) is the mixed number form of 5/4. Choice C (4/5) and Choice D (25/20) are incorrect fractions that do not represent 1.25.

4. A recipe calls for 0.375 cups of sugar, but you only want to make 0.625 of the recipe. How much sugar should you use?

• A. 1.125 cups
• B. 1.111 cups
• C. 0.6 cups
• D. 2.4 cups

Correct answer: C

Rationale: To find out how much sugar should be used when making 0.625 of the recipe, you need to multiply 0.375 (amount required for the full recipe) by 0.625 (proportion of the recipe you want to make). 0.375 * 0.625 = 0.234375. Therefore, you should use 0.234375 cups of sugar, which is equivalent to 0.6 cups. This is the correct answer. Choices A, B, and D are incorrect because they do not correctly calculate the adjusted amount of sugar needed based on the proportion of the recipe being made.

5. A woman wants to stack two bookcases, one 32.75 inches tall and another 17.25 inches tall. How tall will they be when stacked together?

• A. 49.5 inches
• B. 50 inches
• C. 48 inches
• D. 51 inches

Correct answer: B

Rationale: To find the total height of the stacked bookcases, you need to add the heights of the two bookcases: 32.75 inches + 17.25 inches = 50 inches. Therefore, the correct answer is 50 inches. Choice A (49.5 inches) is incorrect as it does not consider rounding off the total height. Choices C (48 inches) and D (51 inches) are incorrect as they do not accurately calculate the sum of the heights of the two bookcases.

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