WASSCE Maths Mock
Contains Maths Questions from WASSCE 2022, 2023 and 2024. Use this Exam to examine your preparedness towards the 2025 BECE Exam Paper
Question 1
Given that \(p = x + \frac{1}{x}\) and \(q = x^{2} + \frac{1}{x^{2}}\), express \(q\) in terms of \(p\).
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Question 2
Preamble: \(M\!:\) “Ali practises.” \(N\!:\) “Ali wins the match.” Given \(M\Rightarrow N\), select the valid deduction.
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Question 3
An item costs GH¢\(20\). A customer buys 4 for GH¢\(72\). What percent reduction was given on the original price?
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Question 4
If \(Q = \frac{2a + b}{a - b}\), make \(a\) the subject of the relation.
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Question 5
Simplify \(\frac{11}{3} - 5\frac{2}{3} + 1\frac{4}{7}\).
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Question 6
An appliance originally GH¢\(120\) sells for GH¢\(90\). What percent was it reduced by?
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Question 7
Simplify \(\frac{5}{6} - 7\frac{3}{5} + 4\frac{1}{2}\).
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Question 8
The length of a hall exceeds its width by \(8\text{ m}\). If the perimeter is \(104\text{ m}\), find the length.
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Question 9
Given \(\dfrac{2x+3y}{7}=\dfrac{x-y}{2}\), find \(x:y\).
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Question 10
Express \(p\) if \(p\alpha vt\) and \(t\alpha\frac{1}{v}\).
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Question 11
The graph of \(y=-x^2+4x-6\) and a line intersect so that the \(x\)-coordinates satisfy \(x^2+4x-7=0\). Find the equation of the line.
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Question 12
GH¢\(720\) shared 3:2 by A and B. B splits 1:3 to C and D. How much to D?
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Question 13
If \(V = \frac{1}{3}\pi r^{2}h\), make \(h\) the subject of the relation.
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Question 14
A polygon has exterior angles \(30^{\circ},\ 45^{\circ},\ 55^{\circ},\ 65^{\circ}\) and five others equal. Find each equal angle.
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Question 15
Solve for \(x:y\) given \(\dfrac{3x-y}{4}=\dfrac{x+2y}{7}\).
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Question 16
For which \(x\) is \(\frac{1}{x^{2}-5x+6}\) undefined?
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Question 17
An athlete runs \(250\text{ m}\) in \(25\text{ s}\). What is his speed in km h\(^{-1}\)?
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Question 18
An aunt is three times as old as her niece. In twelve years the aunt will be twice her niece’s age. How old is the niece now?
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Question 19
In a circle of radius \(15\text{ cm}\), the length of an arc is \(18\text{ cm}\). Find the angle, in degrees (nearest whole number), that the arc subtends at the centre. \([\pi=\frac{22}{7}]\)
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Question 20
Express \(\frac{5}{24} - \frac{1}{6}\), correct to two significant figures.
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Question 21
The 3\(^{\text{rd}}\) term of an arithmetic sequence is \(7\) and the 8\(^{\text{th}}\) term is \(22\). Find the 20\(^{\text{th}}\) term.
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Question 22
If \(\dfrac{x+y}{7}=\dfrac{x-y}{5}\), find \(x:y\).
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Question 23
Find how many integers divisible by 5 are between 18 and 158.
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Question 24
If \(\dfrac{x+y}{3}=\dfrac{2x-y}{5}\), determine \(x:y\).
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Question 25
Find the mean of 3, 5, 7, 9, 11.
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Question 26
Find the range of −12, 7, −3, 4, −8, 10.
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Question 27
Evaluate \(\tan15^{\circ}-2\sin75^{\circ}\).
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Question 28
The bearing of \(P\) from \(Q\) is \(045^{\circ}\). What is the bearing of \(Q\) from \(P\)?
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Question 29
The 6\(^{\text{th}}\) term of an arithmetic sequence is \(18\) and the common difference is \(-\!3\). Determine the 15\(^{\text{th}}\) term.
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Question 30
Given \(4x+6y=5\) and \(2x+4y=3\), find \(x+2y\).
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Question 31
If \(\dfrac{x+2y}{3}=\dfrac{x-y}{1}\), determine \(x:y\).
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Question 32
If \(y\propto x^{3}\) and \(y=54\) when \(x=3\), find \(x\) when \(y=128\).
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Question 33
If \(3\log(x-1)=\log27\), find \(x\).
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Question 34
If \(x + \frac{1}{x} = 5\), find the value of \(x^{3} + \frac{1}{x^{3}}\).
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Question 35
Find \(x\) if \(2\log(x+3)=\log16\).
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Question 36
A 1.5 m stick casts a 1.5 m shadow. Find the angle of elevation of the sun.
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Question 37
Given that \(6\log(x+4)=\log64\), find \(x\).
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Question 38
A brother is seven years older than his sister. In five years he will be twice her age. How old is the sister now?
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Question 39
Preamble: \(G\!:\) “Glass is heated.” \(H\!:\) “Glass expands.” Given \(G\Rightarrow H\), which **must** be true?
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Question 40
Least \(x\) if \(25\equiv10\pmod x\).
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Question 41
A bookstore buys 5 pens at GH¢1.50 each and 7 at GH¢2.00 each. Find the average cost of a pen.
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Question 42
A die is rolled once. Find the probability of obtaining a number less than \(3\).
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Question 43
A sector of a circle has area 40 cm\(^2\) and angle \(140^{\circ}\). Find the area of the circle.
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Question 44
In a regular \(n\)-gon each exterior angle is \((2n+4)^{\circ}\). Find \(n\).
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Question 45
If 29 ≡7 (mod x), find least x.
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Question 46
Express \(\frac{13}{56} - \frac{3}{8}\), correct to two s.f.
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Question 47
In a survey of 120 consumers, 70 prefer coffee, 55 prefer tea and 30 prefer both. How many prefer coffee only?
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Question 48
Preamble: \(E\!:\) “The engine is lubricated.” \(F\!:\) “The engine overheats.” Assume \(E\Rightarrow\neg F\). Choose the logically equivalent statement.
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Question 49
The arithmetic sequence \(T_n=a+ (n-1)d\) satisfies \(T_{18}=52\) and \(T_{30}=88\). Find \(T_{50}\).
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Question 50
Sector area 20 cm² with angle 18°; find circle area.
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