Nursing Elites

1. What is the value of the sum of 3/4 and 5/8?

• A. 1 3/8
• B. 1 1/2
• C. 1 7/8
• D. 1 5/8

Correct answer: D

Rationale: To find the sum of fractions, they need to have a common denominator. In this case, the common denominator is 8. So, 3/4 = 6/8. Adding 6/8 and 5/8 gives 11/8, which simplifies to 1 3/8. Therefore, the correct answer is 1 3/8, which corresponds to choice A. Choices B, C, and D are incorrect as they do not represent the correct sum of 3/4 and 5/8.

2. Shawna buys 5.0 gallons of paint. If she uses 2.5 gallons of it on the first day, how much does she have left?

• A. 2.0 gallons
• B. 2.5 gallons
• C. 3.0 gallons
• D. 1.5 gallons

Correct answer: B

Rationale: To find the remaining paint, subtract the amount used from the total gallons bought. 5.0 - 2.5 = 2.5 gallons. Therefore, Shawna has 2.5 gallons of paint left after using 2.5 gallons on the first day. Choices A, C, and D are incorrect because they do not accurately represent the amount of paint left after using 2.5 gallons.

3. In Mrs. McConnell's classroom, there are 14 students with brown eyes and 2 students with green eyes. What is the ratio of students with brown eyes to students with green eyes?

• A. 7:1
• B. 7:2
• C. 14:2
• D. 14:1

Correct answer: A

Rationale: The correct answer is A: 7:1. To find the ratio, divide the number of students with brown eyes (14) by the number of students with green eyes (2), which equals 7. Therefore, the ratio of students with brown eyes to students with green eyes is 7:1. Choice B (7:2) is incorrect as it does not accurately represent the ratio of students with brown eyes to green eyes. Choice C (14:2) is incorrect because the ratio should be simplified, and 14:2 simplifies to 7:1. Choice D (14:1) is incorrect as it does not consider the number of students with green eyes.

4. How can you distinguish between these three types of graphs - scatterplots: Quadratic, Exponential, Linear?

• A. Linear: straight line; Quadratic: U-shape; Exponential: rises or falls quickly in one direction
• B. Linear: curved line; Quadratic: straight line; Exponential: horizontal line
• C. Linear: zigzag line; Quadratic: U-shape; Exponential: flat line
• D. Linear: straight line; Quadratic: W-shape; Exponential: vertical line

Correct answer: A

Rationale: To differentiate between the three types of graphs - scatterplots, a linear graph will display a straight line, a quadratic graph will have a U-shape, and an exponential graph will show a rapid rise or fall in one direction. Choice B is incorrect because linear graphs are represented by straight lines, not curved lines. Choice C is incorrect as linear graphs do not exhibit zigzag patterns, and exponential graphs do not typically result in flat lines. Choice D is incorrect because quadratic graphs form a U-shape, not a W-shape, and exponential graphs do not represent vertical lines.

5. What is the volume of a ball with a diameter of 7 inches?

• A. 165.7 in³
• B. 179.6 in³
• C. 184.5 in³
• D. 192.3 in³

Correct answer: A

Rationale: To find the volume of a sphere, the formula V = (4/3)πr³ is used, where r is the radius of the sphere. Given that the diameter of the ball is 7 inches, the radius (r) would be half of the diameter, which is 3.5 inches. Plugging this value into the formula: V = (4/3)π(3.5)³ = (4/3)π(42.875) ≈ 165.7 in³. Therefore, the correct answer is A. Choice B, C, and D are incorrect as they do not accurately represent the volume of the ball with a diameter of 7 inches.

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