WAEC 2023 Mathematics | Objective

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Question 1 View Details
Evaluate, correct to three decimal places, \( \frac{4.314 \times 0.000056}{0.0067} \).
A. 0.361
Correct B. 0.036
C. 0.037
D. 0.004

Correct Answer: B

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Question 2 View Details
There are 30 students in a class. 15 study woodwork and 13 study metalwork. 6 study neither of the two subjects. How many students study woodwork but not metalwork?
A. 5
B. 9
Correct C. 11
D. 13

Correct Answer: C

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Question 3 View Details
Solve: \( 2^{5 x} \div 2^{x}=\sqrt[5]{2^{10}} \).
A. \( \frac{1}{3} \)
B. \( \frac{1}{5} \)
Correct C. \( \frac{1}{2} \)
D. \( \frac{1}{4} \)

Correct Answer: C

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Question 4 View Details
Solve: \( 1+\sqrt[3]{x-3}=4 \).
A. 6
B. 12
Correct C. 30
D. 66

Correct Answer: C

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Question 5 View Details
Express \( 413_{7} \) in base 5.
A. \( 1131_{5} \)
Correct B. \( 1311_{5} \)
C. \( 2311_{5} \).
D. \( 2132_{5} \)

Correct Answer: B

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Question 6 View Details
Solve: \( \log _{3}^{x}+\log _{3}^{(x-8)}=2 \).
A. 6
B. 7
C. 8
Correct D. 9

Correct Answer: D

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Question 7 View Details
Mr. Manu is 4 times as old as his son, Adu. 7 years ago, the sum of their ages was 76 years. How old is Adu?
A. 12 years
B. 15 years
Correct C. 18 years
D. 22 years

Correct Answer: C

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Question 8 View Details
Factorize completely: \( x^{2}-(y+z)^{2} \).
A. (x-y+z)(x-y-z)
B. (x+y+z)(x y-z)
Correct C. (x+y-z)(x+y+z)
D. (x-y -z)(x-y-z)

Correct Answer: C

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Question 9 View Details
Find the roots of the quadratic equation: \( 3 m^{2}-2 m-65=0 \).
A. \( \left(\frac{13}{3}, 5\right) \)
B. \( \left(-\frac{13}{3},-5\right) \)
C. \( \left(-\frac{13}{3} , 5\right) \)
Correct D. \( \left( \frac{13}{3} ,-5\right) \)

Correct Answer: D

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Question 10 View Details
\( M \) varies jointly as the square of \( n \) and square root of \( q \). If \( M=24 \) when \( n=2 \) and \( q=4 \), find \( M \) when \( n=5 \) and \( q= \) 9.
A. 288
B. 400
C. 300
Correct D. 225

Correct Answer: D

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Question 11 View Details
If \( m: n=2 \frac{1}{3}: 1 \frac{1}{5} \) and \( n: q=1 \frac{1}{2}: 1 \frac{1}{3} \), find \( q: m \).
Correct A. 16:35
B. 35:16
C. 18:35
D. 35;18

Correct Answer: A

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Question 12 View Details
One-third the sum of two numbers is 12. Twice their difference is 12. Find the numbers.
Correct A. 21 and 15
B. 20 and 16
C. 22 and 14
D. 23 and 13

Correct Answer: A

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Question 13 View Details
Find the quadratic equation whose roots are \( \frac{2}{3} \) and \( -\frac{3}{4} \).
A. \( y^{2}+y-6=0 \)
B. \( 12 y^{2}-y-6=0 \)
Correct C. \( 12 y^{2}+y-6=0 \)
D. \( 12 y^{2}-y+6=0 \)

Correct Answer: C

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Question 14 View Details
Make \( x \) the subject of the relation: \( y=\frac{a x^{3}-b}{3 z} \).
A. \( x=\sqrt[3]{\frac{3 y z b}{a}} \)
B. \( x-\sqrt[3]{\frac{3 y z+b}{a}} \)
Correct C. \( x=\sqrt[3]{\frac{3 y z-b}{a}} \)
D. \( x=\sqrt[3]{\frac{3 y^{3}+b}{a z}} \)

Correct Answer: C

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Question 15 View Details
The price of a shoe was decreased by \( 22 \% \). If the new price was \$ 27.30, what was the original price?
A. \$62.30
B. \$42.30
C. \$72.00
Correct D. \$35.00

Correct Answer: D

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Question 16 View Details
The radius and height of a solid cylinder are \( 8 c m \) and \( 14 c m \) respectively. Find, correct to two decimal places, the total surface area. \( \left[\right. \) Take \( \left.\pi=\frac{22}{7}\right] \).
A. \( 1,106.28 c m^{2} \)
B. \( 1,016.29 c m^{2} \)
Correct C. \( 1,106: 29 \mathrm{~cm}^{2} \)
D. \( 1,206.27 \mathrm{~cm}^{2} \)

Correct Answer: C

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Question 17 View Details
In the diagram, \( O \) is the centre of the circle \( N S T .|\overline{N T}|=|\overline{S T}| \) and \( \angle N T S= 36^{\circ} \). Find the measure of the angle marked \( t \).
A. \( 36^{\circ} \)
Correct B. \( 72^{\circ} \)
C. \( 108^{\circ} \)
D. \( 54^{\circ} \)

Correct Answer: B

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Question 18 View Details
A sphere has a radius 3 cm. Find, in terms of \( \pi \), its volume.
A. \( 27 \pi c m^{3} \)
B. \( 108 \pi c m^{3} \)
Correct C. \( 36 \pi c m^{3} \)
D. \( 30 \pi c m^{3} \)

Correct Answer: C

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Question 19 View Details
Arrange the following numbers in ascending order of magnitude: \( 110_{\text {two}}, 31_{\text {eight }} 42_{\text {five }} \).
A. \( 110_{\text {two}}, 31_{\text {eight }} 42_{\text {five }} \)
Correct B. \( 110_{\text {two}}, 42_{\text {five }}, 31_{\text {eight }} \)
C. \( 31_{\text {eight }}, 42_{\text {five }}, 110_{\text {two }} \)
D. \( 42_{\text {five }}, 31_{\text {eight }}, 110_{\text {two }} \)

Correct Answer: B

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Question 20 View Details
A notebook of length 15 cm was measured by a student as 16.8 cm. Calculate correct to two decimal places, the percentage error in the measurement.
Correct A. 12.00%
B. 11.71%
C. 11.0%
D. 10.71%

Correct Answer: A

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Question 21 View Details
Find the value of \( m \) in the diagram.
A. \( 140^{\circ} \)
B. 130°
Correct C. 50°
D. 40°

Correct Answer: C

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Question 22 View Details
A line \( L \), passing through the point ( 6 , \( -13) \) is parallel to the line which passes through \( (7,4) \) and (-3, 9). Find the equation of the line, \( L \).
A. \( y=\frac{1}{2} x-10 \)
B. \( y=-\frac{1}{2} x+10 \)
Correct C. \( y=-\frac{1}{2} x-10 \)
D. \( y=\frac{1}{2} x+10 \)

Correct Answer: C

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Question 23 View Details
An empty cylindrical tank is 140 cm in diameter. If 200 litres of water is poured into the tank, calculate, correct to the nearest centimetre, the height of water in the tank. \( \left[\right. \) Take \( \left.\pi=\frac{22}{7}\right] \).
A. \( 91 c m \)
B. 57 cm
Correct C. \( 13 c m \)
D. 7 cm

Correct Answer: C

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Question 24 View Details
Mrs. Kebeh stands at a distance of 110 \( m \) away from a building of vertical height \( 58 m \). If Kebeh is \( 2 m \) tall, find the angle of elevation of the top of the building from her eye.
A. 28°
Correct B. 27°
C. \( 26^{\circ} \)
D. 20°

Correct Answer: B

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Question 25 View Details
Find the mean deviation of the set of numbers: \( 14,15,16,17,18 \) and 19.
A. 1.7
Correct B. 1.5
C. 2.5
D. 3.5

Correct Answer: B

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