BECE Mathematics Past Questions 2022

Using the rule x → 2x² − 1, what number does x = 2 map to?

Factorise completely: xy − xm − my + m².

Given P(3, −2) and Q(−2, 4), find the gradient of line PQ.

Given that 117(12 + 18) = 117(15 + k), find the value of k.

Express 108 as a product of prime factors.

A fair die is tossed once. What is the probability that a number greater than 5 shows?

Adjoa travelled 12 km due north and then 5 km due east. How far is she from her starting point?

Fred is (x − 1) years old now. (a)(i) How old was he 4 years ago? (a)(ii) How old will he be 8 years from now? (a)(iii) How old is he now, if his age in 8 years time will be three times his age 4 years ago? (b) The perimeter of a rectangular cocoa farm is 497 km. The length of the farm is 2½ times the width. Find the: (i) width; (ii) length of the farm.

Given that P = {factors of 36} and Q = {factors of 54}: (a)(i) List the members of sets P and Q. (a)(ii) Find: A) P∩Q B) n(P∩Q) C) The Highest Common Factor (HCF) of 36 and 54. (b) Write down the next two terms of the sequence 1, 4, 9, ..., ... (c) The median of the ordered set of observations 2, 3, (4m − 3), (3m + 1), 11 and 13 in ascending order is 6. Find the value of m.

A car travels at 36 km/h. Express this speed in metres per second.

A mother has GH₵ 5.00 and gives each of her 3 children GH₵ 1.50. How much does she have left?

The volume of a cylinder is 40π cm³ and its height is 10 cm. Find the radius of the base.

Point S(4, 3) is reflected in the y-axis. Find the coordinates of its image.

Peter had GH₵ 200.00 and spent GH₵ 83.00. What percentage of his money does he have left?

Find the length of the side of a square with area 225 cm².

Express the ratio 15 : 12 in the form 1 : n.

Express 3/8 as a decimal fraction.

The longest chord of a circle is the

Simplify: −15 − (−20) + (−10).

For what value of x is 3ˣ = 81?

Expand: (2a − b)(a − b).

Write 1930.54 in standard form.

Which of the following is the largest set?

A certain number is subtracted from 12 and the result is multiplied by 3 to give 21. Find the number.

A shop is rented at GH₵ 9.00 per month. What is the cost for 1½ years?

Arrange the fractions 3/5, 1/4 and 2/3 in order from lowest to highest.

The ratio of farmers to children in a village is 13 : 11. If there are 312 farmers, how many children are there?

A football match starts at 2:20 p.m. and lasts for 1 hour 50 minutes. At what time will the game end?

Which of the following is NOT a quadrilateral?

A trader made a profit of 10% by selling a shirt for GH₵ 44.00. Find the cost price.

Solve: 5x − (7x − 3) ≤ 9.