WAEC 2025 Mathematics | Objective

Are you preparing for WAEC exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2025 Mathematics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1
Write 0.0364891 in three significant figures and express the answer in standard form.
A. \( 3.65 \times 10^{2} \)
B. (\( 2.64 \times 10^{2} \)
C. \( 3.64 \times 10^{-2} \)
Correct D. \( 3.65 \times 10^{-2} \)

Correct Answer: D

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Question 2
Given that \( 21_{5}=14_{x} \), find the value of x.
A. 4
B. 5
C. 6
Correct D. 7

Correct Answer: D

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Question 3
Simplify \( \sqrt{200} \)-\( \sqrt{72} \).
A. 8 \( \sqrt{2} \)
Correct B. 4 \( \sqrt{2} \)
C. 2 \( \sqrt{2} \)
D. 10 \( \sqrt{2} \)

Correct Answer: B

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Question 4
if \( 2 \log_x \begin{pmatrix} \frac{1-\sqrt{x}}{ \sqrt{x}}\end{pmatrix}=0 \), find the value of x.
A. \( \frac{1}{2} \)
Correct B. \( \frac{1}{4} \)
C. 1
D. 0

Correct Answer: B

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Question 5
Factorize 3-2 x-\( x^{2} \).
A. (x-3)(x+1)
B. (x+3)(x+1)
C. (x-3)(1-x)
Correct D. (x +3)(1-x)

Correct Answer: D

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Question 6
A variable P varies inversely as the square of Q. If P=5 when Q=6, find Q when P=1.8.
A. 5
Correct B. 10
C. 15
D. 20

Correct Answer: B

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Question 7
The sets \( M= \{x: 2 \leq x \leq 6 \} \) and \( N= \{x: 4 \leq x \leq 8 \} \) are subsets of \( \mu= \{x: 1 \leq x \leq 10, where x is an integer \} \). Find \( M^{\prime} \cap N^{\prime} \).
A. \( \{1,7,8\} \)
B. \( \{1,8,9\} \)
Correct C. \( \{1,9,10\} \)
D. \( \{1, 8, 10\} \)

Correct Answer: C

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Question 8
Consider the following statements: p : The weather is warm. q : The sun is shining Which of the following correctly represents the statement: "The sun is shining if and only if the weather is warm"?
A. \( p \Leftrightarrow \sim q \)
B. \( \sim p \Leftrightarrow \sim q \)
C. \( q \Leftrightarrow \sim p \)
Correct D. \( q \Leftrightarrow p \)

Correct Answer: D

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Question 9
Solve: \( d^{2}-4 d-96=0 \).
A. d=8,12
B. d=-8,-12
Correct C. d=-8,12
D. d=8,-12

Correct Answer: C

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Question 10
Simplify: \( \frac{2 \frac{1}{3} + \frac{5}{2} -1}{12-11 \frac{3}{4} } \).
A. 10 \( \frac{2}{3} \)
Correct B. 15 \( \frac{1}{3} \)
C. 16 \( \frac{1}{4} \)
D. 17 \( \frac{1}{2} \)

Correct Answer: B

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Question 11
Given that \( \left( x^{-n} \right)^{4}= \frac{1}{ x^{6}} \), find the value of n.
A. \( \frac{-2}{3} \)
B. \( \frac{-3}{2} \)
Correct C. \( \frac{3}{2} \)
D. \( \frac{2}{3} \)

Correct Answer: C

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Question 12
Given that \( x+y=1 \) and \( x+3 y=5 \), find the value of \( \left(x^{2}+4 x y+3 y^{2}\right) \).
A. 1
Correct B. 5
C. 10
D. 25

Correct Answer: B

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Question 13
Given that \( \log _{4} 16=\log _{y} 36 \), find the value of y.
A. 3
B. 4
Correct C. 6
D. 8

Correct Answer: C

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Question 14
John sold an article for #105,000.00 at a loss of 4%. Find the cost price of the article.
A. #100,800.00
B. #105,400.00
C. #109,200.00
Correct D. #109,875.00

Correct Answer: D

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Question 15
The population of a town increases by 2% every year. After 2 years, the population is 83,232. Calculate, correct to the nearest thousand, the original population.
Correct A. 80,000
B. 81,000
C. 82,000
D. 83,000

Correct Answer: A

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Question 16
The third and uluth terms of an Arithmetic Progression (AP) are 9 and -27 respectively. Find the fifth term.
A. 18
B. 3
C. -3
Correct D. -6

Correct Answer: D

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Question 17
Make r the subject of the relation: \( \frac{1}{p}=\frac{b}{t}+\frac{c}{r} \).
Correct A. r=\( \frac{p c t}{t-p b} \)
B. r=\( \frac{p c t}{t+p b} \)
C. r=\( \frac{p c}{t-p b} \)
D. r=\( \frac{p c}{1+p b} \)

Correct Answer: A

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Question 18
Two ball bearings have volumes 1.6 \( cm^{3} \) and 5.4 \( cm^{3} \). Find the ratio of their surface areas.
A. 4 : 9
Correct B. 2: 3
C. 3: 8
D. 5 : 12

Correct Answer: B

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Question 19
A profit of 8% was made when an article was sold for $500.00. At what price should it be sold to make a profit of 16%?
Correct A. $537.04
B. $540.00
C. $573.04
D. $580.00

Correct Answer: A

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Question 20
The radius and height of a circular base cylinder are 8 cm and 14 cm respectively. Find its curved surface area. [ Take \( \pi=\frac{22}{7} \)].
A. \( 562 cm^{2} \)
Correct B. \( 704 cm^{2} \)
C. \( 352 cm^{2} \)
D. \( 680 cm^{2} \)

Correct Answer: B

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Question 21
A square has diagonal length of 10 cm. Find the perimeter of the square.
A. 10 \( \sqrt{2} cm \)
B. 15 \( \sqrt{2} cm \)
Correct C. 20 \( \sqrt{2} cm \)
D. 25 \( \sqrt{2} cm \)

Correct Answer: C

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Question 22
What is the gradient of the line 7x-5y +3=0?
Correct A. \( \frac{7}{5} \)
B. \( \frac{5}{7} \)
C. \( \frac{-5}{7} \)
D. \( \frac{-7}{5} \)

Correct Answer: A

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Question 23
Solve: \( \frac{1}{3} \)(k-4)-\( \frac{1}{2} \)(k+1)<\( \frac{1}{6} \).
A. k<-6
B. k>6
C. k<-12
Correct D. k>-12

Correct Answer: D

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Question 24
An interior angle of a regular polygon is \( 150^{\circ} \). How many sides has the polygon?
A. 6
B. 9
Correct C. 12
D. 15

Correct Answer: C

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Question 25
Given that \( \sin (x-46)^{\circ}=\cos 62^{\circ} \), find the value of x.
A. 46
B. 62
Correct C. 74
D. 90

Correct Answer: C

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