Exam Body

Year

Subject

Paper Type

WAEC 2022 Mathematics | Objective

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Question 1

Evaluate, correct to four significant figures, $ (573.06 \times 184.25) $.

Correct A. 105600.00

B. 105622.00

C. 105500.00

D. 105532.00

Correct Answer: A

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Question 2

Change $ 432_{\text {five}} $ to a number in base three.

A. $ 10100_{\text {three }} $

B. $ 11100_{\text {three }} $

C. $ 111011_{\text {three }} $

Correct D. $ 10110_{\text {three }} $

Correct Answer: D

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Question 3

Given that $ A $ and $ B $ are sets such that $ \mathrm{n}(A) =8, \mathrm{n}(B)=12 $ and $ \mathrm{n}(A \cap B)=3 $, find $ \mathrm{n}(A \cup B) $

A. 15

Correct B. 17

C. 20

D. 23

Correct Answer: B

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Question 4

If $ \sqrt{24}+\sqrt{96}-\sqrt{600}=y \sqrt{6} $, find the value of $ y $,

A. 4

B. 2

C. - 2.

Correct D. -4

Correct Answer: D

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Question 5

Evaluate $ 23 \times 54(\bmod 7) $.

A. 2

Correct B. 3

C. 5

D. 6

Correct Answer: B

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Question 6

If $ 4^{3 x}=16^{x+1} $, find the value of $ x $.

A. -2

Correct B. 2

C. 1

D. -1

Correct Answer: B

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Question 7

A weaver bought a bundle of grass for \$50.00 from which he made 8 mats. If each mat was sold for $ \$ 15.00 $, find the percentage profit.

A. $ 240 \% $

Correct B. $ 140 \% $

C. 120\%

D. 40\%

Correct Answer: B

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Question 8

Find the 17 th term of the Arithmetic Progression (A. P.): $ -6,-1,4, \ldots $.

A. -91

B. -86

Correct C. 74

D. 79

Correct Answer: C

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Question 9

M varies directly as $ n $ and inversely as the square of $ p $. If $ M=3 $ when $ n=2 $ and $ p=1 $, find $ M $ in terms of $ n $ and $ p $.

Correct A. $ M=\frac{3 n}{2 p^{2}} $

B. $ M=\frac{2 n}{3 p^{2}} $

C. $ M=\frac{2 n}{3 p} $

D. $ M=\frac{3 n^{2}}{2 p^{2}} $

Correct Answer: A

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Question 10

If $ a=3 $, and $ b=-7 $, find the value of $ \frac{5 b+(a+b)^{2}}{(a-b)^{2}} $.

A. 0.51

B. 0.19

Correct C. -0.19

D. -0.51

Correct Answer: C

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Question 11

Three boys shared $ D 10,500.00 $ in the ratio $ 6: 7: 8 $. Find the largest share.

Correct A. D4,000.00

B. D5,000.00

C. D4,500.00

D. D3,500.00

Correct Answer: A

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Question 12

The length of a piece of stick is 1.75 m . A boy measured it as 1.80 m . find the percentage error.

A. $ 5 \frac{4}{7} \% $

Correct B. $ 2 \frac{6}{7} \% $

C. $ 2 \frac{7}{9} \% $

D. $ 4 \frac{7}{9} \% $

Correct Answer: B

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Question 13

If $ 5 x+3 y=4 $ and $ 5 x-3 y=2 $, what is the value of $ \left(25 x^{2}-9 y^{2}\right) $ ?

A. 20

B. 16

C. 2

Correct D. 8

Correct Answer: D

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Question 14

Mary has $3.00 more than Ben but $ 5.00 less than Jane. If Mary has $ $x $, how much does Jane and Ben have altogether?

A. $ $(2 x-8) $

B. $ $(2 x+8) $

C. $ $(2 x-2) $

Correct D. $ $(2 x+2) $

Correct Answer: D

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Question 15

Consider the statements: $ p $: Stephen is intelligent $ q$: Stephen is good at Mathematics If $ p \Rightarrow q $, which of the following is a valid conclusion?

A. If Stephen is good at Mathematics, then he is intelligent

Correct B. If Stephen is not good at Mathematics, then he is not intelligent

C. If Stephen is not intelligent, then he is not good at Mathematics

D. If Stephen is not good at Mathematics, then he is intelligent

Correct Answer: B

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Question 16

What value of $ p $ will make ( $ x^{2}-4 x+ $ $ p $) a perfect square?

A. -2

B. 16

Correct C. 4

D. -8

Correct Answer: C

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Question 17

Find the value of $ x $ such that $ \frac{1}{x}+\frac{4}{3 x}-\frac{5}{6 x}+1 $ is zero.

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

B. $ \frac{1}{4} $

Correct C. $ -\frac{3}{2} $

D. $ -\frac{7}{6} $

Correct Answer: C

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Question 18

Make $ t $ the subject of $ k=m \sqrt{\frac{t-p}{r}} $.

A. $ t=\frac{r k^{2}+p}{m^{2}} $

Correct B. $ t=\frac{r k^{2}+p m^{2}}{m^{2}} $

C. $ t=\frac{r k^{2}-p}{m^{2}} $

D. $ t=\frac{r k^{2}+p^{2}}{m^{2}} $

Correct Answer: B

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Question 19

In the diagram, $ \overline{|X Y|}=|\overline{Y Z}| $ and $ \angle X Y Z =130^{\circ} $. Find the value of $ y^{\circ} . $

Correct A. $ 50^{\circ} $

B. $ 65^{\circ} $

C. $ 25^{\circ} $

D. $ 155^{\circ} $

Correct Answer: A

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Question 20

An exterior angle of a regular polygon is $ 22.5^{\circ} $. Find the number of sides.

A. 13.

B. 14

C. 15

Correct D. 16

Correct Answer: D

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Question 21

In the diagram, \( \angle POQ = 150^\circ \) and the radius of the circle \( PSQR \) is \( 4.2\text{ cm} \). [Take \( \pi = 22/7 \)]. 

Use the information to answer questions \( 21 \) and \( 22 \).

Find the length of the minor arc $ P R Q $.

Correct A. $ 11.00 c m $

B. $ 15.40 c m $

C. $ 17.64 c m $

D. $ 23.10 c m $

Correct Answer: A

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Question 22

In the diagram, \( \angle POQ = 150^\circ \) and the radius of the circle \( PSQR \) is \( 4.2\text{ cm} \). [Take \( \pi = 22/7 \)]. 

Use the information to answer questions \( 21 \) and \( 22 \).

Find the area of the sector OPSQ.

A. $ 15.40 \mathrm{~cm}^{2} $

B. $ 17.64 \mathrm{~cm}^{2} $

C. $ 23.10 \mathrm{~cm}^{2} $

Correct D. $ 32.34 \mathrm{~cm}^{2} $

Correct Answer: D

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Question 23

A ladder $ 6 m $ long leans against a vertical wall at angle $ 53^{\circ} $ to the horizontal. How high up the wall does the ladder reach?

Correct A. $ 3.611 m $

B. $ 4.521 m $

C. 4.792 $ m $

D. $ 3.962 m $

Correct Answer: A

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Question 24

A cylinder, opened at one end, has a radius of 3.5 cm and height 8 cm . Calculate the total surface area. [Take $ \pi= $ 22/7].

A. $ 126.5 \mathrm{~cm}^{2} $

B. $ 165.0 \mathrm{~cm}^{2} $

C. $ 212.0 \mathrm{~cm}^{2} $

Correct D. $ 214.5 \mathrm{~cm}^{2} $

Correct Answer: D

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Question 25

In the diagram, $ \angle W Z Y $ and $ \angle W Y X $ are right angles. Find the perimeter of WXYZ.

A. 30 cm

Correct B. 32 cm

C. 35 cm

D. 37 cm

Correct Answer: B

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