Mathematics — 2021

If A = {1, 3, 5, 7, 9, 11, 13, 15} and B = {3, 6, 9, 12, 15}, find n(A∩B).

If P = {4, 8, 12, 16, 20}, Q = {16, 4, 12, k , 20} and P = Q , find the value of k .

Express 7352.4658 correct to three significant figures.

Find the difference between the values of (2 d ) 2 and 2 d 2 , when d = 3.

Find the image of p (-3, 5) when rotated through 360 o about the origin.

The image of P (10, -3) when translated by the vector r is P’ (4, 5). Find r .

Find the next two terms of the sequence: 2, 5, 10, 17, ....., ......

Express 134.78 correct to the nearest tenth

Kofi and Ama shared an amount of GH₵ 3,000.00 in the ratio 2:3. Find the amount received by Kofi.

If 2 x – 1 = 5, find the value of x .

Solve: (1- x )÷3 < 4.

The area of a rectangle is 18 cm 2 . If one of its sides is 2cm long, find its perimeter.

A bag contains 5 red and 7 black balls of the same size. What is the probability of picking a black ball?

On a map, 1⁄3 cm represents 5km. If two towns A and B are 18 cm apart on the map, what is the actual distance between them?

Esi bought a television set for GH₵ 1,500.00. If she sold it at a profit of 20%, find the selling price.

Make h the subject of the relation V = πr 2 h .

Find the simple interest on GH₵ 600.00 which was saved for 8 months at 5% per annum.

Priscila's age i k years while Mary's age is b years. If Mary is 15 years older than Priscila, Which of the following statements is correct ?

What is the Highest Common Factor (HCF) of 24, 32 and 64?

Factorize: 3 ax + 6 a - x - 2

A car covered a distance of 150 km at a speed of 18 km/h. Find the time taken.

Simplify

Divide 0.5445 by 0.09.

If the median of the numbers 9,10,12, x , 20 and 25 is 14, find the value of x .

Expand (7 r - 5)(3 r +4).

Find the gradient of the line that joins the points A (-3,5) and B (7,-2).

The area of a trapezium is 36 cm 2 . If the parallel sides are 10.5 cm and 9.5 cm, calculate the distance between the two parallel sides.

If the average of 5,6,7 and x is 8, find the value of x

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?

Which property of arithmetic is shown in the equation (6 + x ) + 5 = 6 + ( x + 5)

A trader bought 100 tubers of yam for GH₵ n each. All the yams were sold at GH₵ m each. Find the profit.

A box can take 12 pencils. If 156 pencils are packed into such boxes, how many boxes will be fully packed?

Given that x = 4, y = 7, evaluate 2 xy + 3( x + y )

Simplify

Given that x = 8, what type of angle is (9 x + 8) o ?

Express 0.725 as a fraction in its lowest term.

Simplify 3(5 a 2 + 2 c ) - 2 a (1 - 3 a ) - 6 c .