Exam Body

Year

Subject

Paper Type

WAEC 2024 Mathematics | Objective

Are you preparing for WAEC exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2024 Mathematics (Objective) questions designed to simulate the real exam environment.

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Question 1

Multiply $ 3.4 \times 10^{-5} $ by $ 7.1 \times 10^{8} $ and leave the answer in standard form.

Correct A. $ 2.414 \times 10^{2} $

B. $ 2.414 \times 10^{3} $

C. $ 2.414 \times 10^{4} $

D. $ 2.414 \times 10^{5} $

Correct Answer: A

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Question 2

Given that $ P=\{p: 1<p<20\} $, where $ p $ is an integer and $ R=\{r: 0 \leq r \leq 25 , \text{where r is a multiple of 4} \} $. Find $ P \cap R $.

Correct A. $ \{4,8,10,10,16\} $

B. $ \{4,8,12,16\} $

C. $ \{4,8,12,16,20\} $

D. $ \{4, 8, 12, 16, 20,24\} $

Correct Answer: A

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Question 3

The first term of an Arithmetic Progression (A.P) is 2 and last term is 29. If the common difference is 3, how many terms are in the A.P?

Correct A. 8

B. 9

C. MD

D. 11

Correct Answer: A

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Question 4

Express in index form: $ \log _\mathrm{x} \mathrm{a}+\log _\mathrm{y} \mathrm{a}=3 $

Correct A. $ x+y=3 $

B. $ x y=3 $

C. $ \mathrm{xy}=\mathrm{a}^{\wedge} \mathbf{3} $

D. $ x+y=a^{\wedge} 3 $

Correct Answer: A

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Question 5

Simplify: $ (2p-q)^2-(p+q)^2 $

Correct A. $ 3 p(p-2 q) $

B. $ 2 p(p-3 q) $

C. $ 3 p(2 p-q) $

D. $ 2 p(3 p-q) $

Correct Answer: A

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Question 6

$ (3-4 \sqrt{2})(1+3\sqrt{2})=a+b\sqrt{2} $, find the value of $ b $.

Correct A. 5

B. -5

C. -21

D. 21

Correct Answer: A

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Question 7

Find the time for which \$1,250.00 will amount to \$2,031.25 at 12.5% per annum simple interest.

Correct A. 2 years

B. 3 years

C. 4 years

D. 5 years

Correct Answer: A

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Question 8

If $ \log _{3}^{(2 x-1)}=5 $, find the value of $ x $

Correct A. 8

B. 16

C. 64

D. 122

Correct Answer: A

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Question 9

The population of a town increases by $ 3 \% $ every year. In the year 2000, the population was 3,000. Find the population in the year 2003.

Correct A. 3,182

B. 3,278

C. 6,591

D. 7,515

Correct Answer: A

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Question 10

A trader gave a change of \$540.00 instead of \$570.00 to a customer. Calculate the percentage error.

Correct A. $ 5 \frac{5}{19} \% $

B. $ 5 \frac{5}{9} \% $

C. $ 5 \frac{7}{19} \% $

D. $ 5 \frac{7}{9} \% $

Correct Answer: A

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Question 11

An interior angle of a regular polygon is $ 168^{\circ} $. Find the number of sides of the polygon.

Correct A. 30

B. 24

C. 15

D. 12

Correct Answer: A

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Question 12

If $ 3 x-2 y=-5 $ and $ x+2 y=9 $, find the value of $ \frac{x-y}{x+y} $.

Correct A. $ 5 / 3 $

B. 3/5

C. -3/5

D. -5/3

Correct Answer: A

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Question 13

A variable $ W $ varies partly as $ M $ and partly inversely as $ P $. Which of the following correctly represents the relation with $ k_{1} $ and $ k_{2} $ constants?

Correct A. $ W=\frac{k_{1} M}{k_{2} P} $

B. $ W=\left(k_{1}+k_{2}\right) \frac{M}{P} $

C. $ W=k_{1} M+\frac{k_{2}}{P} $

D. $ W=\left(k_{1}+k_{2}\right) M+P $

Correct Answer: A

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Question 14

A cylindrical metallic barrel of height $ 2.5 m $ and radius 0.245 is closed at one end. Find, correct to one decimal place, the total surface area of the barrel. [Take $ \pi=22 / 7 $].

Correct A. 2.1 $ m^{2} $

B. 3.5 $ m^{2} $

C. 4.0 $ m^{2} $

D. 9.4 $ m^{2} $

Correct Answer: A

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Question 15

Make $R$ the subject of the relation: $V=\pi l\left(R^{2}-r^{2}\right)$.

Correct A. $ R=\sqrt{\frac{V}{\pi l}+r^{2}} $

B. $ R=\sqrt{\frac{V}{\pi l}-r^{2}} $

C. $ R=\sqrt{V-\pi l r^{2}} $

D. $ R=\sqrt{V+\pi l r^{2}} $

Correct Answer: A

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Question 16

Consider the following statements: $ m $ : Edna is respectful $ n $ : Edna is brilliant. If $ m \Rightarrow n $, which of the following is valid?

Correct A. $ \sim m \Rightarrow \sim n $

B. $ n \Rightarrow \sim m $

C. $ \sim n \Rightarrow \sim m $

D. $ n \Rightarrow m $

Correct Answer: A

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Question 17

A number is added to both the numerator and the denominator of the fraction $ \frac{1}{8} $. If the result is $ \frac{1}{2} $, find the number.

Correct A. 3

B. 4

C. 5

D. 6

Correct Answer: A

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Question 18

Gifty, Justina and Frank shared out oranges in the ratio $ 5: 3: 7 $ respectively. How many oranges did Justin receive?

Correct A. 12

B. 16

C. 20

D. 28

Correct Answer: A

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Question 19

Find the quadratic equation whose roots are $ \frac{2}{3} $ and -1.

Correct A. $ 3 x^{2}+x-2=1 $

B. $ 3 x^{2}-x-2=0 $

C. $ 3 x^{2}+x+2=0 $

D. $ 3 x^{2}+x-1=0 $

Correct Answer: A

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Question 20

A piece of rod of length $ 44 m $ is cut from a rectangular shape such that the ratio of the length to the breadth is 7:4. Find the breadth.

Correct A. $ 8 m $

B. $ 14 m $

C. $ 16 m $

D. $ 24 m $

Correct Answer: A

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Question 21

In the diagram, $ \overline{M N} / / \overline{K L}, \overline{M L} $ and $ \overline{K N} $ intersect at $ X. \overline{|M N|}=12 \mathrm{~cm} $, $ |\overline{M X}|=10 \mathrm{~cm} $ and $ |\overline{K L}|=9 \mathrm{~cm} $. If the area of $ \triangle M X N $ is $ 16 \mathrm{~cm}^{2} $, calculate the area of $ \triangle L X K $.

Correct A. $ 8 \mathrm{~cm}^{2} $

B. $ 9 \mathrm{~cm}^{2} $

C. $ 10 \mathrm{~cm}^{2} $

D. 12 cm

Correct Answer: A

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Question 22

A ladder $ 15 m $ long leans against a vertical pole, making an angle of $ 72^{\circ} $ with the horizontal. Calculate, correct to one decimal place, the distance between the foot of the ladder and the pole.

Correct A. $ 15.8 m $

B. $ 14.3 m $

C. $ 4.9 m $

D. $ 4.6 m $

Correct Answer: A

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Question 23

In the diagram, $ O $ is the centre of the circle. If $ |\overline{O A}|=25 \mathrm{~cm} $ and $ |\overline{A B}| =40 \mathrm{~cm} $, find $ |\overline{O H}| $.

A. $ 15 c m $

Correct B. $ 20 c m $

C. $ 25 c m $

D. $ 30 c m $

Correct Answer: B

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Question 24

Given that $ P $ is $ 25 m $ on a bearing of $ 330^{\circ} $ from $ Q $, how far south of $ P $ is $ Q $ ?

A. $ 25.2 m $

B. $ 21.7 m $

Correct C. $ 19.8 m $

D. 18.5 $ m $

Correct Answer: C

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Question 25

A car valued at $ \$ 600,000.00 $ depreciates by $ 10 \% $ each year. What will be the value of the car at the end of two years?

A. \$120,000.00

B. \$480,000.00

Correct C. \$486,000.00

D. \$540,000.00

Correct Answer: C

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