Question 1
If A = {1, 3, 5, 7, 9, 11, 13, 15} and B = {3, 6, 9, 12, 15}, find n(A∩B).
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Question 2
If P = {4, 8, 12, 16, 20}, Q = {16, 4, 12, k, 20} and P = Q, find the value of k.
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Question 3
Express 7352.4658 correct to three significant figures.
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Question 4
Find the difference between the values of (2d)² and 2d², when d = 3.
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Question 5
Find the image of p(-3, 5) when rotated through 360° about the origin.
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Question 6
The image of P(10, -3) when translated by the vector r is P’(4, 5). Find r.
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Question 7
Find the next two terms of the sequence: 2, 5, 10, 17, ....., ......
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Question 8
Express 134.78 correct to the nearest tenth
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Question 9
Kofi and Ama shared an amount of GH₵ 3,000.00 in the ratio 2:3. Find the amount received by Kofi.
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Question 10
If 2x – 1 = 5, find the value of x.
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Question 11
Solve: (1 − x) ÷ 3 < 4.
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Question 12
The area of a rectangle is 18 cm². If one of its sides is 2 cm long, find its perimeter.
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Question 13
A bag contains 5 red and 7 black balls of the same size. What is the probability of picking a black ball?
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Question 14
On a map, 1⁄3 cm represents 5 km. If two towns A and B are 18 cm apart on the map, what is the actual distance between them?
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Question 15
What is the rule for the above mapping? (Pairs shown: x: 1,2,3,4,5 map to y: 5,9,13,17,21.)
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Question 16
Find x when \(y = 37\) for the mapping \(y=4x+1\).
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Question 17
Esi bought a television set for GH₵ 1,500.00. If she sold it at a profit of 20%, find the selling price.
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Question 18
In the diagram, line AB is parallel to line PD. Find the value of x. (Diagram will be provided)
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Question 19
Make \(h\) the subject of the relation \(V = \pi r^{2}h\).
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Question 20
Find the simple interest on GH₵ 600.00 which was saved for 8 months at 5% per annum.
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Question 21
Priscila's age is k years while Mary's age is b years. If Mary is 15 years older than Priscila, which statement is correct?
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Question 22
What is the Highest Common Factor (HCF) of 24, 32 and 64?
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Question 23
Factorize: \(3ax + 6a - x - 2\)
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Question 24
A car covered a distance of 150 km at a speed of 18 km/h. Find the time taken.
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Question 25
Simplify \(3y - \dfrac{(2y - 3)}{4}\)
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Question 26
Divide 0.5445 by 0.09.
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Question 27
If the median of the numbers 9, 10, 12, x, 20 and 25 is 14, find the value of x.
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Question 28
Expand \((7r - 5)(3r + 4)\).
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Question 29
Find the gradient of the line that joins the points A(-3,5) and B(7,-2).
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Question 30
The area of a trapezium is 36 cm². If the parallel sides are 10.5 cm and 9.5 cm, calculate the distance between the two parallel sides.
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Question 31
If the average of 5, 6, 7 and x is 8, find the value of x.
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Question 32
An amount of GH₵ 375,000.00 was needed to build a clinic for a community of twelve towns. Each community contributed GH₵ 25,000.00. If the District Assembly also contributed GH₵ 30,500.00, how much more is needed to build the clinic?
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Question 33
Which property of arithmetic is shown in the equation (6 + x) + 5 = 6 + (x + 5)
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Question 34
A trader bought 100 tubers of yam for GH₵ n each. All the yams were sold at GH₵ m each. Find the profit.
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Question 35
A box can take 12 pencils. If 156 pencils are packed into such boxes, how many boxes will be fully packed?
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Question 36
Given that \(x = 4\), \(y = 7\), evaluate \(2xy + 3(x+y)\)
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Question 37
Simplify \(2\left(-\dfrac{1}{2}\right)^{2} + \left(-\dfrac{1}{2}\right) - 1\).
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Question 38
Given that \(x = 8\), what type of angle is \((9x + 8)^{\circ}\)?
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Question 39
Express 0.725 as a fraction in its lowest term.
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Question 40
Simplify \(3(5a^{2} + 2c) - 2a(1 - 3a) - 6c\).
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