Exam Body

Year

Subject

Paper Type

WAEC 2021 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 2021 Mathematics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

Correct, 0.00798516 to three significant figures.

A. 0.0109

B. 0.0800

Correct C. 0.00799

D. 0.008

Correct Answer: C

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Question 2

Simplify: $ \left(11_{\text {two }}\right)^{2} $.

A. $ 1001_{\text {two }} $

Correct B. $ 1101_{\text {two }} $

C. $ 101_{\text {two }} $

D. $ 10001_{\text {two }} $

Correct Answer: B

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Question 3

Solve: $ 2^{\sqrt{2 x+1}}=32 $.

A. 13

B. 24

Correct C. 12

D. 11

Correct Answer: C

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Question 4

If $ \log _{10} 2=m $ and $ \log _{10} 3=n $, find $ \log _{10} 24 $ in terms of $ m $ and $ n $.

Correct A. $ 3 m+ n $

B. $ m+3 n $

C. $ 4 m n $

D. $ 3 m n $

Correct Answer: A

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Question 5

Find the $ 5^{\text {th }} $ term of the sequence: 2, 5, 10, 17,...

Correct A. 22

B. 24

C. 36

D. 26

Correct Answer: A

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Question 6

If $ P=\{-3<x<1\} $ and $ q=\{-1<x <3\} $, where $ x $ is a real number, find $ P \cap Q $.

Correct A. \( \{-1

B. $ \{-3 \leq x \leq 1\} $

C. \( \{-3

D. $ \{-1 \leq x \leq 1\} $

Correct Answer: A

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Question 7

Factorize $ 6 p q-3 r s-3 p s+6 q r $.

Correct A. $ 3(r-p)(2 q+s) $

B. $ 3(p+r)(2 q-s) $

C. $ 3(p-r)(2 q-s) $

D. $ 3(r-p)(s-2 q) $

Correct Answer: A

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Question 8

What number should be subtracted from the sum of $ 2 \frac{1}{6} $ and $ 2 \frac{7}{12} $ to give $ 3 \frac{1}{4} $?

A. $ \frac{1}{3} $

Correct B. $ 1 \frac{1}{2} $

C. $ 1 \frac{1}{6} $

D. $ \frac{1}{2} $

Correct Answer: B

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Question 9

Mensah is 5 years old and Joyce is thrice as old as Mensah. In how many years will Joyce be twice as old as Mensah?

Correct A. 3 years

B. 10 years

C. 5 years

D. 15 years

Correct Answer: A

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Question 10

If $ 16 \times 2^{(x+1)}=4^{x} \times 8^{(1-x)} $, find the value of $ x $.

A. -4

Correct B. 4

C. 1

D. -1

Correct Answer: B

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Question 11

The circumference of a circular track is 9 km. A cyclist rides round it a number of times and stops after covering a distance of 302 km. How far is the cyclist from the starting point?

A. 5 km

Correct B. 6 km

C. 7 km

D. 3 km

Correct Answer: B

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Question 12

Simplify: $ 2 \sqrt{7}-\frac{14}{\sqrt{7}}+\frac{7}{\sqrt{21}} $.

A. $ \frac{\sqrt{21}}{21} $

Correct B. $ \frac{7 \sqrt{21}}{3} $

C. $ \frac{\sqrt{21}}{3} $

D. $ 3 \sqrt{21} $

Correct Answer: B

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Question 13

If $ 4 x+2 y=16 $ and $ 6 x-2 y=4 $, find the value of $ (y-x) $.

A. 8

B. 2

C. 4

Correct D. 6

Correct Answer: D

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Question 14

Given that $ R $ is directly proportional to $ L $ and inversely proportional to $ P $, $ R=3 $ when $ L=9 $ and $ P=0.8 $, find $ R $ when $ L=15 $ and $ P=1.8 $.

A. 2.2

Correct B. 3.3

C. 6.6

D. 0.3

Correct Answer: B

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Question 15

In The diagram, $ \angle A B C $ and $ \angle B C D $ are right angles, $ \angle B A D=\rho $ and $ \angle E D F=70^{\circ} $. Find the value of $ t^{\circ} $.

A. 70°

B. 165°

Correct C. 140°

D. 110°

Correct Answer: C

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Question 16

The sum of the interior angles of a regular polygon with $ k $ sides is ( $ 3 k- $ 10) right angles. Find the size of the exterior angle.

Correct A. 60°

B. 40°

C. 90°

D. 120°

Correct Answer: A

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Question 17

Make $ U $ the subject of the relation: $ x=\frac{2 U-3}{3 U+2} $.

Correct A. $ U=\frac{2 x+3}{3 x-2} $

B. $ U=\frac{2 x-3}{3 x-2} $

D. $ U=\frac{2 x+3}{3 x+2} $

Correct Answer: A

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Question 18

A trader paid import duty of 38 kobo in the naira on the cost of an engine. If a total of \$ 22,800.00 was paid as import duty, calculate the cost of the engine.

A. \$60,000.00

Correct B. \$120,000.00

C. N24,000.00

D. \$18,000.00

Correct Answer: B

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Question 19

The height of an equilateral triangle is $ 10 \sqrt{3} $ cm. Calculate its perimeter.

A. $ 20 cm $

Correct B. $ 60 cm $

C. $ 40 cm $

D. 30cm.

Correct Answer: B

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Question 20

In $ \triangle L M N,|L M|=6 \mathrm{~cm}, \angle L M N= 90^{\circ}, \angle L N M=x^{\circ} $ and $ \sin x=\frac{3}{5} $. Find the area of $ \triangle L M N $.

A. $ 60 \mathrm{~cm}^{2} $

Correct B. 48 $ c m^{2} $

C. $ 24 c m^{2} $

D. $ 30 \mathrm{~cm}^{2} $

Correct Answer: B

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Question 21

Consider the statements: $ P $ : All students offering Literature $ (L) $ also offer History $ (H) $; $ Q $ : Students offering History (H) do not offer Geography $ (G) $. Which of the Venn diagrams correctly illustrate the two statements?

Question 22

Find the quadratic equation whose roots are $ -2 q $ and $ 5 q $.

Correct A. $ x^{2}+3 q x- 10 q^{2}=0 $

B. $ x^{2}+3 q x+10 q^{2}=0 $

C. $ x^{2}-3 q x+10 q^{2}=0 $

D. $ x^{2}-3 q x- 10 q^{2}=0 $

Correct Answer: A

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Question 23

If $ an \theta=\frac{3}{4}, 180^{\circ}<\theta<270^{\circ} $, find the value of $ \cos \theta $.

A. $ \frac{4}{5} $

B. $ \frac{3}{5} $

Correct C. $ -\frac{4}{5} $

D. $ -\frac{3}{5} $

Correct Answer: C

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Question 24

If $ \frac{2}{(x-3)}-\frac{3}{(x-2)}=\frac{p}{(x-3)(x-2)} $, find $ p $.

A. $ (5-x) $

Correct B. $ -(x+5) $

C. $ (13-x) $

D. $ -(5 x-13) $

Correct Answer: B

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Question 25

The diagonals of a rhombus are 12 cm and 5 cm. Calculate its perimeter.

A. 26 cm

Correct B. 24 cm

C. 17 cm

D. 34 cm

Correct Answer: B

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