WAEC 2025 Mathematics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A profit of 8% was made when an article was sold for $500.00. At what price should it be sold to make a profit of 16%?
A. $537.04
B. $540.00
C. $573.04
D. $580.00
Question 2
Consider the following statements: p : The weather is warm. q : The sun is shining Which of the following correctly represents the statement: "The sun is shining if and only if the weather is warm"?
A. p \Leftrightarrow \sim q
B. \sim p \Leftrightarrow \sim q
C. q \Leftrightarrow \sim p
D. q \Leftrightarrow p
Question 3
Two towns \( \mathbf{X} \) and \( \mathbf{Y} \) are located at points ( \( -2,-5 \) ) and ( 3,7 ) respectively. Calculate the distance between the two towns.
A. 114 units
B. 25 units
C. 13 units
D. 12 units
Question 4
x 2 \log \left(\frac{1-\sqrt{x}}{\sqrt{x}}\right)=0, find the value of x.
A. \frac{1}{2}
B. \frac{1}{4}
C. 1
D. 0
Question 5
Solve: d^{2}-4 d-96=0.
A. d=8,12
B. d=-8,-12
C. d=-8,12
D. d=8,-12
Question 6
The height of 4 orange seedlings are: 2 cm, 5 cm, 7 cm and 10 cm. Calculate the variance.
A. 7.2
B. 6.0
C. 8.5
D. 9.1
Question 7
A square has diagonal length of 10 cm. Find the perimeter of the square.
A. 10 \sqrt{2} cm
B. 15 \sqrt{2} cm
C. 20 \sqrt{2} cm
D. 25 \sqrt{2} cm
Question 8
Two ball bearings have volumes 1.6 cm^{3} and 5.4 cm^{3}. Find the ratio of their surface areas.
A. 4 : 9
B. 2: 3
C. 3: 8
D. 5 : 12
Question 9
Factorize 3-2 x-x^{2}.
A. (x-3)(x+1)
B. (x+3)(x+1)
C. (x-3)(1-x)
D. (x +3)(1-x)
Question 10
Ajoke will be 31 years in \( x \) years time. If Ajoke is 6 years older than Chioma, find an expression for Chioma's present age.
A. 25-x
B. 31+x
C. 25+x
D. 31-x
Question 11
A sector of a circle radius 21 cm subtends an angle of 120^{\circ} at the centre. Find the length of the arc of the sector. [Take \pi=\frac{22}{7}].
A. 11 cm
B. 22 cm
C. 44 cm
D. 66 cm
Question 12
The radius and height of a circular base cylinder are 8 cm and 14 cm respectively. Find its curved surface area. [ Take \pi=\frac{22}{7}].
A. 562 cm^{2}
B. 704 cm^{2}
C. 352 cm^{2}
D. 680 cm^{2}
Question 13
Find \angle QTN. In the diagram, \angle PMQ=34^{\circ} and \angle NQM=28^{\circ}.
A. 152^{\circ}
B. 146^{\circ}
C. 124^{\circ}
D. 118^{\circ}
Question 14
Kwakye, Sabina and Owusu shared an amount of $12,000.00. Kwakye had 20% of the amount and the remaining amount was shared between Sabina and Owusu in the ratio 5:3 respectively. How much did Sabina receive?
A. $2,400.00
B. $3,600.00
C. $6,000.00
D. $9,600.00
Question 15
Two consecutive odd integers are such that the sum of 5 times the smaller and 3 times the bigger integer is 222. Find the value of the smaller integer.
A. 31
B. 29
C. 27
D. 25

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