Nursing Elites

1. The total perimeter of a rectangle is 36 cm. If the length of each side is 12 cm, what is the width?

• A. 3 cm
• B. 12 cm
• C. 6 cm
• D. 8 cm

Correct answer: C

Rationale: The formula for the perimeter of a rectangle is P = 2(l + w), where P is the perimeter, l is the length, and w is the width. Given that the total perimeter is 36 cm and each side's length is 12 cm, we substitute the values into the formula: 36 = 2(12 + w). Solving for w gives us w = 6. Therefore, the width of the rectangle is 6 cm. Choice A (3 cm) is incorrect because the width is not half of the length. Choice B (12 cm) is the length, not the width. Choice D (8 cm) is incorrect as it does not match the calculated width of 6 cm.

2. What is the mode of the numbers in the distribution shown in the table?

• A. 1
• B. 2
• C. 3
• D. 4

Correct answer: A

Rationale: The mode of a set of numbers is the value that appears most frequently. In the distribution shown in the table, the number '1' occurs more times than any other number, making it the mode. Choices B, C, and D are incorrect because they do not represent the number that occurs most frequently in the dataset.

3. A soccer field is rectangular in shape and is 100 meters long and 75 meters wide. The hectare is a metric unit of area often used to measure larger areas. Given that 1 hectare = 10,000 square meters, which of the following represents the soccer field’s area in hectares?

• A. 0.75 hectares
• B. 7.5 hectares
• C. 7,500 hectares
• D. 75,000,000 hectares

Correct answer: A

Rationale: To find the area of the soccer field, multiply its length by its width: 100 meters × 75 meters = 7500 square meters. To convert this to hectares, divide by 10,000 (since 1 hectare = 10,000 square meters), resulting in 0.75 hectares. Therefore, the correct answer is A. Choices B, C, and D are incorrect because they do not correctly convert the area to hectares. B and C are off by a factor of 10, while D is off by a factor of 10,000.

4. What is the overall median of Dwayne's current scores: 78, 92, 83, 97?

• A. 19
• B. 85
• C. 83
• D. 87.5

Correct answer: B

Rationale: To find the median of a set of numbers, first arrange the scores in ascending order: 78, 83, 92, 97. Since there is an even number of scores, we find the median by taking the average of the two middle values. In this case, the middle values are 83 and 92. Calculating (83 + 92) / 2 = 85, we determine that the overall median of Dwayne's scores is 85. Choice A (19) is incorrect as it does not correspond to any value in the given set of scores. Choice C (83) is the median of the original set but not the overall median once arranged. Choice D (87.5) is the average of all scores but not the median.

5. Half of a circular garden with a radius of 11.5 feet needs weeding. Find the area in square feet that needs weeding. Round to the nearest hundredth. Use 3.14 for π.

• A. 2.4
• B. 207.64
• C. 15.1
• D. 30.1

Correct answer: B

Rationale: The formula for the area of a full circle is calculated as Area = π × (radius²). When finding the area of half a circle, we multiply by 0.5. Thus, the formula becomes Area = 0.5 × π × (radius²). Given that the radius of the circular garden is 11.5 feet, the calculation using π = 3.14 is as follows: Area = 0.5 × 3.14 × (11.5²) = 0.5 × 3.14 × 132.25 = 0.5 × 415.27 = 207.64 square feet. Therefore, the correct answer is B. Choices A, C, and D are incorrect because they do not reflect the correct calculation for finding the area of half a circular garden with a radius of 11.5 feet.

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