Mathematics 2025 - BECE

Maths Paper 1

Question 1

How long will the simple interest on GH₵ 550.00 at 12 % per annum be GH₵ 132.00?

Question 2

Expand and simplify: \(2(3a + 1)\;-\;3(4a - 3).\)

Question 3

The area of a rectangular card is 15 cm². If each side of the card is enlarged by a scale factor of 3, find the area of the enlarged card.

Question 4

Factorize: \(5ay \;-\; by \;+\; 15a \;-\; 3b.\)

Question 5

Mr Adu bought 400 bags of maize for his farm animals. If he used 120 bags to feed them, what percentage of the maize was left?

Question 6

A man spends GH₵ 560.00 out of his weekly wage of GH₵ 700.00 and saves the rest. What percentage did he save?

Question 7

Solve the inequality: \(3(x - 5) > 15 - 4(8 - x)\).

Question 8

Esi made sales of 15 twenty-cedi notes, 14 ten-cedi notes and 15 two-cedi notes. Find her total sales.

Question 9

When 0.24 is expressed in lowest terms as a fraction, the denominator is:

Question 10

Solve: \(4x - 2(x + 5) = -10.\)

Question 11

A rectangular container with dimensions 5 m by 3 m by 4 m is two-thirds full of water. Find the volume of water in the container.

Question 12

Ama is three times as old as Kofi. The sum of their ages is 40. How old is Ama?

Question 13

A point (−2,3) is reflected in the x-axis. Find the image of the point.

Question 14

A farmer feeds 20 goats with 500 kg of cassava. How many goats can be fed with 200 kg of cassava?

Question 15

In an examination, Abu answered nine questions in 2 hours. He spent 20 minutes on the first question and the same time on each of the remaining questions. How many minutes did he spend on each of the other questions?

Question 16

A trader sold half of a piece of cloth and used two-fifths of the remainder to sew a dress. What fraction of the cloth was left?

Question 17

Solve: \(2^x = 8\times2^0.\)

Question 18

A boy walked once around a circular pond of radius 28 m. Find the distance covered. Use \(\pi=\tfrac{22}{7}\).

Question 19

The points M(1,3) and N(4,5) are in the coordinate plane. Find the vector \(\overrightarrow{MN}\).

Question 20

Find the rule for the mapping: 1→9, 2→20, 3→31, 4→_.

Question 21

If 2y=5−3x, find x when y=1.

Question 22

Given 0.03×y=2.4, find y.

Question 23

Find the gradient of the line passing through points (2,3) and (−4,5).

Question 24

Two interior angles of a triangle are (3x−10)° and (4x+20)°. Find an expression for the third angle.

Question 25

If a=(−2,1) and b=(−5,3), find 2a−b.

Question 26

It costs GH₵25 to make a chair. At what selling price for 40% profit?

Question 27

Ama has four GH₵1 notes; buys ice-cream GH₵1.75 and two toffees at 50 Gp each. How much left?

Question 28

A trader received a commission of 5% on goods sold for GH₵25,000. Find the commission.

Question 29

(Number-line diagram) Which inequality is represented by a solid dot at 3 with arrow left?

Question 30

Multiply (8s−7)(8s+7).

Question 31

The population of a town is 56 782. What is this number to three significant figures?

Question 32

Find the largest value among −1, 0, −6, −3.

Question 33

A box contains 10 green and 8 white balls. If one ball is selected at random, what is the probability it is green?

Question 34

Express 36 as a product of primes.

Question 35

Describe the set M={2,3,5,7,11,13,17,19} in words.

Question 36

A survey shows that 28% of all men in a village are vegetarian. What is the probability a randomly selected man is vegetarian?

Question 37

Given P={4,8,12,16,20} and Q={2,4,6,8,10}, find product of P∩Q.

Question 38

Anowa scored an average of 53 in Science and Mathematics. If she scored 50 in English and 60 in Social Studies, find her mean in all four subjects.

Question 39

What is the missing number in the sequence −5, −2, 1, …, 7?

Question 40

Charles and Helen started a business with GH₵7 000. If contributions in ratio 4:3, Helen’s contribution?