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
If 17 ≡ 3 (mod x), find the least value of x.
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Question 2
Equation of line through \((-2,5)\) parallel to \(4x-y=8\).
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Question 3
Evaluate \(\tan30^{\circ}-3\sin60^{\circ}\).
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Question 4
If \(4\log(x+1)=\log81\), find \(x\).
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Question 5
GH¢\(1000\) shared 2:3 by U and V. V shares 1:4 with W and Z. How much to Z?
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Question 6
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 7
The bearing of a point \(P\) from \(Q\) is \(065^{\circ}\). What is the bearing of \(Q\) from \(P\)?
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Question 8
Find the range of 10, 14, 23, 25, 27.
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Question 9
Equation of line through \((6,-4)\) parallel to \(x+3y=0\).
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Question 10
Find the equation of the line through \(P(4,1)\) parallel to \(2x+5y=-10\).
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Question 11
Simplify \(\frac{\sqrt{2} + \sqrt{18}}{\sqrt{6}}\).
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Question 12
The exterior angles of a quadrilateral are \(80^{\circ},\ 95^{\circ},\ (x-5)^{\circ},\ (x+30)^{\circ}\). Find \(x\).
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Question 13
Simplify \(\frac{9}{4} - 6\frac{1}{3} + 2\frac{4}{5}\).
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Question 14
If \(p\alpha t\) and \(t\propto v^2\), express \(p\) in terms of \(v\).
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Question 15
GH¢\(840\) in ratio 7:5. Larger person gives 2:3 to two friends. Friend2 gets?
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Question 16
Find the **mean** (to the nearest whole number) of the masses 83, 47, 62, 49, 55, 72, 58, 62.
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Question 17
One side of a rectangle is 9 cm, diagonal 15 cm. Find the area.
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Question 18
Simplify \(\dfrac{m^{2}-4m+4}{2-m}\).
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Question 19
An athlete runs \(250\text{ m}\) in \(25\text{ s}\). What is his speed in km h\(^{-1}\)?
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Question 20
Simplify \(\frac{\sqrt{5} + \sqrt{20}}{\sqrt{10}}\).
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Question 21
A circle has radius \(12\text{ cm}\). Find the length of the arc that subtends an angle of \(150^{\circ}\) at the centre. Give your answer correct to one decimal place. \([\pi=\frac{22}{7}]\)
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Question 22
If \(y\) varies as \(x^{4}\) and inversely as \(\sqrt{z}\), and \(y=32\) when \(x=2\) and \(z=4\), find \(y\) when \(x=3\) and \(z=9\).
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Question 23
If \(S = \frac{1}{2}c(a + c)\), make \(a\) the subject of the relation.
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Question 24
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 25
For which \(x\) is \(\frac{1}{3x^{2}-6x+3}\) undefined?
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Question 26
An arc of a circle \(44\text{ cm}\) long subtends an angle \(40^{\circ}\) at the centre. Calculate the radius correct to three significant figures. \([\pi=\frac{22}{7}]\)
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Question 27
How many even integers are between 11 and 97?
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Question 28
Two fair dice are rolled. What is the probability that the sum is \(9\)?
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Question 29
\(y\) varies jointly as \(x\) and \(\sqrt{z}\). If \(y=24\) when \(x=3\) and \(z=16\), find \(y\) when \(x=5\) and \(z=9\).
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Question 30
A gadget marked GH¢\(50\) is sold at GH¢\(45\). What percentage reduction is this?
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Question 31
Evaluate \(\frac{45{,}000{,}000\times0.0008}{0.0002}\).
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Question 32
The length of a rectangular lawn is \(3\text{ cm}\) longer than its width. If the perimeter is \(42\text{ cm}\), find the width.
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Question 33
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 34
Find all real \(x\) such that \((x+9)(4-x) > 36 - x^{2}\).
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Question 35
Find the values of \(x\) for which \(\displaystyle \frac{1}{2x^{2}-13x+15}\) is not defined.
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Question 36
Evaluate \(\tan45^{\circ} - 2\sin30^{\circ}\).
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Question 37
An arc of a circle \(50\text{ cm}\) long subtends an angle \(75^{\circ}\) at the centre of the circle. Find, correct to three significant figures, the radius of the circle. \([\text{Take }\pi=\frac{22}{7}]\)
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Question 38
Simplify \(\frac{5}{6} - 7\frac{3}{5} + 4\frac{1}{2}\).
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Question 39
Simplify \(\frac{8}{6} - 11\frac{2}{3} + 2\frac{3}{5}\).
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Question 40
Each interior angle of a regular polygon is \(150^{\circ}\). How many sides has the polygon?
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Question 41
If \(p = x + \frac{1}{x}\) and \(r = x^{3} + \frac{1}{x^{3}}\), express \(r\) in terms of \(p\).
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Question 42
How many perfect squares are between 100 and 500?
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Question 43
In a sack are 9 red, 13 blue, 8 green and 10 yellow counters. What is the probability of drawing a counter that is **not** red?
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Question 44
If \(p = x - \frac{1}{x}\) and \(r = x^{3} - \frac{1}{x^{3}}\), express \(r\) in terms of \(p\).
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Question 45
Simplify \(\tfrac14(x-3) - \tfrac12(\tfrac14x - 1)\).
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Question 46
If 23 ≡5 (mod x), find least x.
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Question 47
An appliance originally GH¢\(120\) sells for GH¢\(90\). What percent was it reduced by?
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Question 48
Three exterior angles of a hexagon are \(40^{\circ},\ 55^{\circ},\ 65^{\circ}\). The other three are equal. Find each of them.
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Question 49
Find the solution set of \((2-x)(5+x) > 10 - x^{2}\).
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Question 50
Given \(p\propto\frac{x}{v^2}\) and \(x\propto vt\), express \(p\) in terms of \(v,t\).
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