Exam Body

Year

Subject

Paper Type

WAEC 2023 Mathematics | Objective

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Question 1

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

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

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

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

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

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

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

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

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

$ 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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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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