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What is the total perimeter of a playground fence that has a rectangular section (5m by 3m) attached to a semicircular section with a radius of 2m?

  • A. 13m
  • B. 16m
  • C. 19m
  • D. 22m
Correct Answer: D

Rationale: To find the total perimeter, we first calculate the perimeter of the semicircle, which is half of a full circle, so the formula is π * radius. For the semicircle with a radius of 2m, the perimeter is approximately 3.14 * 2m = 6.28m. Next, we calculate the perimeter of the rectangular section by adding twice the length and twice the width (2 * length + 2 * width). For the rectangle with dimensions 5m by 3m, the perimeter is 2 * 5m + 2 * 3m = 10m + 6m = 16m. Finally, we sum the perimeters of the semicircle and the rectangle to get the total perimeter: 6.28m + 16m = 22.28m. Rounding to the nearest meter, the total perimeter is approximately 22m. Therefore, the correct answer is 22m. Choices A, B, and C are incorrect as they do not accurately calculate the total perimeter of the playground fence.

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Round to the nearest whole number. Change the fraction to a percent: 17/80 =

  • A. 20%
  • B. 21%
  • C. 22%
  • D. 23%
Correct Answer: B

Rationale: To convert 17/80 to a percent, we divide 17 by 80 to get 0.2125. Multiplying by 100, we get 21.25%. Rounding to the nearest whole number, 21.25% becomes 21%. Choice A (20%) is incorrect because rounding 21.25% down to the nearest whole number gives 21%. Choice C (22%) is incorrect as it is the next whole number after 21. Choice D (23%) is incorrect as it is more than 21.25% and thus rounds up to 22%.

A medication order is for 250 micrograms of a drug to be administered subcutaneously. The available syringe measures in milliliters. How many milliliters should the healthcare professional draw up?

  • A. 0.00025 milliliters
  • B. 0.0025 milliliters
  • C. 0.025 milliliters
  • D. 0.25 milliliters
Correct Answer: D

Rationale: 1 milliliter (mL) is equal to 1000 micrograms (mcg). Therefore, to find out how many milliliters are needed for 250 micrograms: 250 mcg · 1000 = 0.25 mL. So, the healthcare professional should draw up 0.25 milliliters of the drug to administer 250 micrograms subcutaneously.

Choice A, 0.00025 milliliters, is incorrect as it is too small a volume for the required dosage. Choice B, 0.0025 milliliters, is also too small. Choice C, 0.025 milliliters, is 100 times greater than the correct answer of 0.25 milliliters. Therefore, the correct answer is 0.25 milliliters.

Convert the percentage to a decimal: 38%

  • A. 3.8
  • B. 0.38
  • C. 0.038
  • D. 38.0
Correct Answer: B

Rationale: To convert a percentage to a decimal, you divide the percentage by 100. Therefore, 38% as a decimal is 0.38 (38 · 100 = 0.38). Choice A, 3.8, is incorrect as it is equivalent to 380%. Choice C, 0.038, is incorrect as it represents 3.8%. Choice D, 38.0, is incorrect as it is still in percentage form.

Solve for x: 7:42 :: 4:x

  • A. 16
  • B. 24
  • C. 48
  • D. 12
Correct Answer: B

Rationale: To solve this proportion, set up the equation: 7/42 = 4/x. Cross-multiply to get 7x = 168. Solve for x by dividing both sides by 7, yielding x = 24. Therefore, the correct answer is 24. Choice A (16), Choice C (48), and Choice D (12) are incorrect as they do not satisfy the proportion 7:42 :: 4:x.

After spending $75.64 at one store and $22.43 at the next store, how much money does the shopper have left if they started with $100.00?

  • A. $1.93
  • B. $5.00
  • C. $0.72
  • D. $20.13
Correct Answer: A

Rationale: To determine how much money the shopper has left, add the amounts spent: $75.64 + $22.43 = $98.07. Then, subtract the total spent from the starting amount: $100.00 - $98.07 = $1.93 left. Therefore, choice A, $1.93, is the correct answer. Choice B, $5.00, is incorrect because it does not reflect the correct calculation. Choice C, $0.72, is incorrect as it does not consider the total amount spent. Choice D, $20.13, is incorrect because it does not reflect the remaining amount after the expenses.

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