WAEC 2022 Mathematics | Objective

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Question 1 View Details
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 View Details
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 View Details
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 View Details
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 View Details
Evaluate \( 23 \times 54(\bmod 7) \).
A. 2
Correct B. 3
C. 5
D. 6

Correct Answer: B

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Question 6 View Details
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 View Details
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 View Details
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 View Details
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 View Details
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 View Details
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 View Details
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 View Details
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 View Details
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 View Details
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 View Details
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 View Details
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 View Details
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 View Details
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 View Details
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 View Details
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 View Details
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 View Details
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 View Details
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 View Details
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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