WAEC Mathematics questions

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

All topics Binary operations · 13 Coordinate geometry · 20 Euclidean geometry · 26 Fractions, decimals, approximations and percentages · 29 Indices, logarithms and surds · 29 Inequalities · 17 Loci · 12 Mensuration · 27 Number bases · 24 Polynomials · 29 Probability · 23 Progressions · 22 Sets · 22 Statistics · 26 Trigonometry · 26 Variation · 19

Question 261· Progressions· WAEC
Find the 10th term of the A.P. 3, 7, 11, …
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Answer: B. 39
Explanation and discussion
Question 262· Progressions· WAEC
How many terms are in the A.P. 5, 9, 13, …, 81?
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Answer: D. 20
Explanation and discussion
Question 263· Progressions· WAEC
Find the 6th term of the geometric progression 3, 6, 12, ...
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Answer: C. 96
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Question 264· Progressions· WAEC
The first term of a geometric progression is 3 and the common ratio is 2. Find the 5th term.
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Answer: A. 48
Explanation and discussion
Question 265· Progressions· WAEC
The 3rd term of an arithmetic progression is 11 and the 7th term is 27. Find the common difference.
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Answer: B. 4
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Question 266· Progressions· WAEC
Find the sum of the first 15 terms of the A.P. 7, 11, 15, …
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Answer: C. 525
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Question 267· Progressions· WAEC
Find the 12th term of the arithmetic progression 5, 8, 11, …
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Answer: D. 38
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Question 268· Progressions· WAEC
Find the sum to infinity of the G.P. 12, 6, 3, …
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Answer: A. 24
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Question 269· Progressions· WAEC
A geometric progression has first term 5 and common ratio −2. Find its 3rd term.
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Answer: D. 20
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Question 270· Progressions· WAEC
The sum of the first n terms of the arithmetic progression 3, 5, 7, ... is 120. Find n.
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Answer: B. 10
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Question 271· Progressions· WAEC
How many terms are in the arithmetic progression 5, 9, 13, ..., 81?
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Answer: B. 20
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Question 272· Sets· WAEC
In a class of 45 students, 28 like Mathematics, 22 like English and 9 like both. How many like neither?
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Answer: A. 4
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Question 273· Sets· WAEC
In a class of 40 students, 25 offer Biology and 20 offer Chemistry. If every student offers at least one of the two subjects, how many offer both?
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Answer: B. 5
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Question 274· Sets· WAEC
A = {x : x is a factor of 12}. Find n(A).
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Answer: B. 6
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Question 275· Sets· WAEC
If U = {1, 2, …, 10} and P = {prime numbers in U}, then n(P′) is
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Answer: A. 6
Explanation and discussion
Question 276· Sets· WAEC
n(U) = 30 and n(A) = 18. Find n(A′).
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Answer: C. 12
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Question 277· Sets· WAEC
A set has 32 subsets. How many elements does it have?
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Answer: C. 5
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Question 278· Sets· WAEC
If n(A) = 15, n(B) = 12 and n(A ∩ B) = 5, find n(A ∪ B).
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Answer: B. 22
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Question 279· Sets· WAEC
In a class of 40 students, 25 offer Biology, 20 offer Chemistry and 8 offer neither. How many offer both subjects?
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Answer: B. 13
Explanation and discussion
Question 280· Sets· WAEC
In a survey of 50 traders, 30 sell rice and 28 sell beans; every trader sells at least one. How many sell both?
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Answer: D. 8
Explanation and discussion

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WAEC Mathematics questions

Find the 10th term of the A.P. 3, 7, 11, …

How many terms are in the A.P. 5, 9, 13, …, 81?

Find the 6th term of the geometric progression 3, 6, 12, ...

The first term of a geometric progression is 3 and the common ratio is 2. Find the 5th term.

The 3rd term of an arithmetic progression is 11 and the 7th term is 27. Find the common difference.

Find the sum of the first 15 terms of the A.P. 7, 11, 15, …

Find the 12th term of the arithmetic progression 5, 8, 11, …

Find the sum to infinity of the G.P. 12, 6, 3, …

A geometric progression has first term 5 and common ratio −2. Find its 3rd term.

The sum of the first n terms of the arithmetic progression 3, 5, 7, ... is 120. Find n.

How many terms are in the arithmetic progression 5, 9, 13, ..., 81?

In a class of 45 students, 28 like Mathematics, 22 like English and 9 like both. How many like neither?

In a class of 40 students, 25 offer Biology and 20 offer Chemistry. If every student offers at least one of the two subjects, how many offer both?

A = {x : x is a factor of 12}. Find n(A).

If U = {1, 2, …, 10} and P = {prime numbers in U}, then n(P′) is

n(U) = 30 and n(A) = 18. Find n(A′).

A set has 32 subsets. How many elements does it have?

If n(A) = 15, n(B) = 12 and n(A ∩ B) = 5, find n(A ∪ B).

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

In a survey of 50 traders, 30 sell rice and 28 sell beans; every trader sells at least one. How many sell both?