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WAEC 2021 Mathematics | Objective

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Question 1 View Details

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 View Details

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 View Details

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 View Details

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 View Details

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 View Details

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 View Details

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 View Details

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}

B. 1 \frac{1}{2}

C. 1 \frac{1}{6}

Correct D. \frac{1}{2}

Correct Answer: D

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Question 9 View Details

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?

A. 3 years

Correct B. 10 years

C. 5 years

D. 15 years

Correct Answer: B

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Question 10 View Details

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

A. -4

B. 4

Correct C. 1

D. -1

Correct Answer: C

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Question 11 View Details

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

B. 6 km

Correct C. 7 km

D. 3 km

Correct Answer: C

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Question 12 View Details

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 View Details

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

A. 8

Correct B. 2

C. 4

D. 6

Correct Answer: B

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Question 14 View Details

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

B. 3.3

Correct C. 6.6

D. 0.3

Correct Answer: C

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Question 15 View Details

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} $.

Correct A. 70°

B. 165°

C. 140°

D. 110°

Correct Answer: A

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Question 16 View Details

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.

A. 60°

B. 40°

Correct C. 90°

D. 120°

Correct Answer: C

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Question 17 View Details

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

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

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

C. U=\frac{2 x+3}{2-3 x}

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

Correct Answer: D

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Question 18 View Details

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

A. $60,000.00

Correct B. $120,000.00

C. $24,000.00

D. $18,000.00

Correct Answer: B

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Question 19 View Details

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

A. 20 cm

Correct B. 60 cm

C. 40 cm

D. 30 cm

Correct Answer: B

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Question 20 View Details

In $ \triangle L M N,|\overline{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 cm^{2}

Correct B. 48 cm^{2}

C. 24 cm^{2}

D. 30 cm^{2}

Correct Answer: B

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Question 21 View Details

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 statement?

Question 22 View Details

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 View Details

If $ \tan \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 View Details

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

A. (5-x)

B. -(x+5)

C. (13 -x)

Correct D. -(5 x-13)

Correct Answer: D

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Question 25 View Details

The diagonals of a rhombus are 12 $ c m $ and $ 5 c m $. Calculate its perimeter.

A. 26 c m

Correct B. 24 c m

C. 17 c m

D. 34 cm

Correct Answer: B

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