Nursing Elites

1. 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.

2. Prizes are to be awarded to the best pupils in each class of an elementary school. The number of students in each grade is shown in the table, and the school principal wants the number of prizes awarded in each grade to be proportional to the number of students. If there are twenty prizes, how many should go to fifth-grade students? Grade 1 2 3 4 5 Students 35 38 38 33 36

• A. 5
• B. 4
• C. 7
• D. 3

Correct answer: C

Rationale: To determine how many prizes should be awarded to 5th-grade students, we need to set up the proportion of the number of 5th-grade students to the total number of students in the school. The total number of students is 35 + 38 + 38 + 33 + 36 = 180 students. To find the proportion of 5th-grade students, it would be 36/180 = 0.2. Since there are 20 prizes to be awarded, multiplying 0.2 by 20 gives us 4, which means 4 prizes should go to the 5th-grade students. Therefore, the correct answer is 4. Choice A (5) is incorrect as it does not align with the proportional distribution. Choice B (4) is the correct answer, as calculated. Choice C (7) is incorrect as it exceeds the total number of prizes available. Choice D (3) is incorrect as it does not match the proportional distribution based on the number of students.

3. What is an equivalent fraction?

• A. A fraction that looks different but represents the same value
• B. A fraction that is smaller than another fraction
• C. A fraction that is larger than another fraction
• D. A fraction that has the same numerator as another fraction

Correct answer: A

Rationale: An equivalent fraction is a fraction that may look different in terms of its numerator and denominator but still represents the same value or quantity. This means that when you simplify or expand a fraction, its value remains unchanged. Choice B and C are incorrect because equivalent fractions are not determined by being smaller or larger than another fraction; it is about representing the same quantity. Choice D is incorrect because equivalent fractions may have different numerators as long as the ratio between the numerator and denominator remains the same.

4. Joshua needs more than 92 points to qualify for a scholarship. Each question is worth 4 points, and there are 30 questions. What inequality determines how many questions he must answer correctly?

• A. 4x < 92
• B. 4x > 92
• C. 4x < 120
• D. 4x > 120

Correct answer: B

Rationale: To determine the number of questions Joshua must answer correctly, we divide the total points required (92) by the points per question (4) to get 23. Since he needs more than 92 points, he must answer more than 23 questions correctly, which is represented by the inequality 4x > 92. Choices A, C, and D are incorrect because they do not accurately reflect the requirement for Joshua to answer more than 92 points' worth of questions.

5. A large pizza has a diameter of 9 inches. Which of the following is the area of the pizza in terms of pi?

• A. 11.25 πin²
• B. 29.57 πin²
• C. 18.35 πin²
• D. 20.25 πin²

Correct answer: D

Rationale: To find the area of a circle, we use the formula A = πr², where r is the radius of the circle. In this case, the diameter is 9 inches, so the radius is half of the diameter, which is 4.5 inches. Substituting the radius into the formula, we get A = π(4.5)² = 20.25 πin². Therefore, the correct answer is 20.25 πin². Choices A, B, and C are incorrect because they do not correctly calculate the area using the radius of the circle.

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