Study WAEC questions on Sets (+PDF)

These WAEC questions on Sets are all from its sub-topics in the WAEC MATH SYLLABUS.

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WAEC Sets questions

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1. If X = {0, 2, 4, 6}, Y = {1, 2, 3, 4} and Z = {1, 3} are subsets of U = {x:0 ≤ x ≥ 6}, find x∩(Y'∪ Z)

A. {0, 2, 6}
B. {1, 3}
C. {0, 6}
D. {1, 4}

2. Given that P = {x : 1 ≤ x ≤ 6} and Q = {x : 2 < x < 10}, where x is an integer. Find n(P∩Q)

A. 4
B. 6
C. 8
D. 10

3. Given T = {x : -2 < x ≤ 9} where x is an integer. What is n(T)?  

A. 9
B. 10
C. 11
D. 12

4. Given that n(P) = 19, nP∪Q=38 and nP∩Q=7, find n(Q) 

A. 26
B. 31
C. 36
D. 50

5.  Every staff in an office owns either a Mercedes and/or a Toyota car. 20 own Mercedes, 15 own Toyota and 5 own both. How many staff are there in the office?

A. 25
B. 30
C. 35
D. 40

6. If P={prime factors of 210} and Q={prime numbers less than 10}, find P∩Q

A. {1, 2, 3}
B. {2, 3, 5}
C. {3, 5, 7}
D. {2, 3, 5, 7}

7. Two sets are disjoint if _____

A. they are both empty
B. their union is an empty set
C. their intersection is an empty set
D. one of them is a subset of the other

8. If Q = {all perfect squares less than 30} and P = {all odd numbers from 1 to 10}. Find Q∩P

A. {1, 4, 9, 16, 25} 
B. {1, 3, 4, 5, 7, 9, 16, 25}
C. {1, 3, 5, 7, 9}
D. {1, 9}

9. In a class of 80 students, every students studies Economics or Geography or both. If 65 students study Economics and 50 study Geography, how many study both subjects?

A. 15
B. 30
C. 35
D. 45

10. If R={2, 4, 6, 7} and S={1, 2, 4, 8}, then R∪S equal ______

A. {1, 2, 4, 6, 7, 8}
B. {1, 2, 4, 7, 8}
C. {1, 4, 7, 8}
D. {2, 6, 7}

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