JAMB and WAEC Mathematics questions: Sets

46 questions with answers and explanations. Tap an option to check yourself.

All JAMB WAEC

Question 21· Sets· JAMB
In a group of 50 students, 30 like rice, 25 like beans and 10 like both. How many like neither?
Explanation and discussion
Question 22· Sets· WAEC
How many subsets has a set with 4 elements?
Explanation and discussion
Question 23· Sets· JAMB
Of 60 people surveyed, 35 read Punch, 30 read Vanguard and 5 read neither. How many read both newspapers?
Explanation and discussion
Question 24· Sets· JAMB
The complement of A′ (that is, (A′)′) is
Explanation and discussion
Question 25· Sets· JAMB
How many elements has the power set of {a, b, c}?
Explanation and discussion
Question 26· Sets· JAMB
If n(A ∪ B) = 30, n(A) = 18 and n(B) = 20, find n(A ∩ B).
Explanation and discussion
Question 27· Sets· WAEC
Which of these sets is empty?
Explanation and discussion
Question 28· Sets· WAEC
U = {1, 2, 3, ..., 10} and P is the set of multiples of 3 in U. Find n(P′).
Explanation and discussion
Question 29· Sets· JAMB
In a class, 18 students study French, 15 study Hausa, 6 study both and 3 study neither. How many students are in the class?
Explanation and discussion
Question 30· Sets· JAMB
How many proper subsets has a set with 5 elements?
Explanation and discussion
Question 31· Sets· WAEC
If P = {1, 3, 5, 7} and Q = {3, 6, 9}, find P ∪ Q.
Explanation and discussion
Question 32· Sets· JAMB
If P = {2, 4, 6, 8} and Q = {4, 8, 12}, find P ∩ Q.
Explanation and discussion
Question 33· Sets· JAMB
Of 60 traders, 35 sell rice, 30 sell beans and 12 sell both. How many sell neither?
Explanation and discussion
Question 34· Sets· JAMB
U = {1, 2, 3, …, 12} and A is the set of multiples of 3 in U. Find n(A).
Explanation and discussion
Question 35· Sets· JAMB
A = {a, e, i, o, u} and B = {a, b, c, d, e}. Find n(A ∪ B).
Explanation and discussion
Question 36· Sets· WAEC
If A = {2, 4, 6, 8} and B = {1, 2, 3, 4}, find A ∩ B.
Explanation and discussion
Question 37· Sets· JAMB
n(U) = 40, n(A) = 24 and n(B) = 18. Every element of U is in A or B. Find n(A ∩ B).
Explanation and discussion
Question 38· Sets· JAMB
If A = {x : x is a prime number less than 10}, find n(A).
Explanation and discussion
Question 39· Sets· JAMB
U = {1, 2, 3, …, 10} and A is the set of even numbers in U. Find n(A′).
Explanation and discussion
Question 40· Sets· WAEC
In a class of 40, 25 offer Biology, 20 offer Chemistry and 8 offer both. How many offer neither?
Explanation and discussion

Practise Mathematics like the real exam. A timed CBT, your score, and the topics to fix.

Start a Mathematics test

JAMB and WAEC Mathematics questions: Sets

In a group of 50 students, 30 like rice, 25 like beans and 10 like both. How many like neither?

How many subsets has a set with 4 elements?

Of 60 people surveyed, 35 read Punch, 30 read Vanguard and 5 read neither. How many read both newspapers?

The complement of A′ (that is, (A′)′) is

How many elements has the power set of {a, b, c}?

If n(A ∪ B) = 30, n(A) = 18 and n(B) = 20, find n(A ∩ B).

Which of these sets is empty?

U = {1, 2, 3, ..., 10} and P is the set of multiples of 3 in U. Find n(P′).

In a class, 18 students study French, 15 study Hausa, 6 study both and 3 study neither. How many students are in the class?

How many proper subsets has a set with 5 elements?

If P = {1, 3, 5, 7} and Q = {3, 6, 9}, find P ∪ Q.

If P = {2, 4, 6, 8} and Q = {4, 8, 12}, find P ∩ Q.

Of 60 traders, 35 sell rice, 30 sell beans and 12 sell both. How many sell neither?

U = {1, 2, 3, …, 12} and A is the set of multiples of 3 in U. Find n(A).

A = {a, e, i, o, u} and B = {a, b, c, d, e}. Find n(A ∪ B).

If A = {2, 4, 6, 8} and B = {1, 2, 3, 4}, find A ∩ B.

n(U) = 40, n(A) = 24 and n(B) = 18. Every element of U is in A or B. Find n(A ∩ B).

If A = {x : x is a prime number less than 10}, find n(A).

U = {1, 2, 3, …, 10} and A is the set of even numbers in U. Find n(A′).

In a class of 40, 25 offer Biology, 20 offer Chemistry and 8 offer both. How many offer neither?