Practice Questions On Sets

Have you taken our free online lesson on Set Theory and would like to test your knowledge?

In this test…

You will see and answer real past questions on Sets from different Mathematics exam.

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ALSO SEE: How To Identify and Interpret Set-builder Notations

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INSTRUCTION.

From the options lettered A to D, choose your correct answer to the question.

Question 1.

In a class of 46 students, 22 play football and 26 play volleyball. If 3 students play both games, how many plays neither?

• A. 1
• B. 2
• C. 3
• D. 4

Question 2.

If P = {x : x −1 < x ≤ 20} and Q = {y : y −2 < y ≤ 25}, find P ∩ Q

• A. {3, 5, 7, 11, 13, 17, 19}
• B. {2, 3, 5, 7, 11, 13, 17, 19}
• C. {3, 5, 7, 11, 17, 19}
• D. {3, 5, 11, 13, 17, 19}

Question 3.

If P is a set of all prime factors of 30 and Q is a set of all factors of 18 less than 10, find P ∩ Q

• A. {3}
• B. {2,3}
• C. {2,3,5}
• D. {1,2}

Question 4.

If P = {1, 2, 3, 4, 5} and P ∪ Q = {1, 2, 3, 4, 5, 6, 7}, list the elements in Q

• A. {5, 7}
• B. {6}
• C. {7}
• D. {6, 7}

Question 5.

Given μ = { even numbers between 0 and 30} P = {multiples of 6 between 0 and 30} Q = {multiples of 4 between 0 and 30} Find (P∪Q)

• A. {2, 10, 14, 22, 26}
• B. {2, 10, 14, 22, 26}
• C. {2, 4, 14, 18, 26}
• D. {0, 2, 6, 22, 26}

• See How To Correctly Solve Sets With Venn Diagram

Confirm your answers

Comment below with the options you chose for each question and a staff or fellow ACADite will confirm if your answers are correct.