BECE Mathematics Past Questions 2021

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

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?

If 2x − 1 = 5, find the value of x.

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

The area of a trapezium is 36 cm². If the parallel sides are 10.5 cm and 9.5 cm, calculate the perpendicular distance between them.

(a) A Venn diagram shows a universal set U with subsets M and N. The M-only region contains (8x + 4) elements, the intersection M ∩ N contains 6 elements, the N-only region contains (2x + 7) elements, and the region outside both sets contains 6 elements. (i) Express n(M) and n(N) in terms of x. (ii) Given that n(M) = n(N): A) Find the value of x. B) Find n(U). (b) Simplify: 2⁶ ÷ (2² × 2¹) ÷ 2⁵, leaving your answer as a fraction.

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

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

A trader bought 100 tubers of yam for GH₵ n each and sold all of them at GH₵ m each. Find the profit.

Solve: (1 − x) ÷ 3 < 4.

An amount of GH₵ 375,000.00 was needed to build a clinic. Twelve towns each contributed GH₵ 25,000.00 and the District Assembly contributed GH₵ 30,500.00. How much more is needed?

Express 134.78 correct to the nearest tenth.

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

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

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

The area of a rectangle is 18 cm². If one of its sides is 2 cm long, find its perimeter.

Express 7352.4658 correct to three significant figures.

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

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

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

The image of P(10, −3) under a translation by vector r is P'(4, 5). Find r.

Find the image of P(−3, 5) when rotated through 360° about the origin.

Find the difference between the values of (2d)² and 2d² when d = 3.

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

(a) Out of 25 mangoes in a box, 7 are unripe. Calculate the percentage of mangoes that are ripe. (b) A mapping is defined by the following table of values: x: 1, 2, 3, 4, m, n y: −1, 2, 5, 8, 56, 29 (i) Write down the rule for the mapping. (ii) Find the values of m and n. (c) A bus departs at 6:30 am and arrives at its destination at 1:00 pm, travelling at a constant speed of 100 km/h. Calculate the distance covered.

Simplify 3(5a² + 2c) − 2a(1 − 3a) − 6c.

Express 0.725 as a fraction in its lowest terms.

Simplify [2⁴ × 2⁶]² ÷ 2²⁰.

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

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

Expand: (7r − 5)(3r + 4).

Divide 0.5445 by 0.09.

Factorise: 3ax + 6a − x − 2.

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

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?

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

Make h the subject of the relation V = πr²h.