BECE past question

Mathematics 2026

Mathematics Paper 1

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Paper 1 - Objective — instructions

Answer all the questions. Each question is followed by four options lettered A to D. Find the correct option for each question and shade in pencil on your answer sheet the space which bears the same letter as the option you have chosen. Give only one answer to each question.

1. [1]

BECE 2026 · Paper 1

A trader sold an article for \(\text{GH}¢ 126.00\) marking a profit of 20%. Find the cost price of the item.
2. [1]

BECE 2026 · Paper 1

Ivy and Abbey share an amount of \(\text{GH}¢ 30.00\) in the ratio 3 : 2 respectively. Find Abbey's share.
3. [1]

BECE 2026 · Paper 1

Given the sequence \(-9, -5, m, 3, 7, 11\), find the value of \(m\).
4. [1]

BECE 2026 · Paper 1

A class of 42 learners shared some oranges and each received 11. If 22 learners shared the same number of oranges equally, how many will each get?
5. [1]

BECE 2026 · Paper 1

Kofi had 150 birds. He sold 26 of them and kept the rest equally in 4 cages. How many birds were kept in each cage?
6. [1]

BECE 2026 · Paper 1

Arrange the following: \(\dfrac{3}{4}, 0.8, \dfrac{5}{8}, 0.65\) in descending order.
7. [1]

BECE 2026 · Paper 1

Find the volume of a cube with side 5 m.
8. [1]

BECE 2026 · Paper 1

Make \(y\) the subject of the relation \(p = \dfrac{r - 4y}{3}\).
9. [1]

BECE 2026 · Paper 1

In a test, \(\dfrac{2}{3}\) of the learners passed. If the number of learners who failed was 69, how many passed?
10. [1]

BECE 2026 · Paper 1

Write 0.000437 in standard form.
11. [1]

BECE 2026 · Paper 1

Find the circumference of a circle whose area is \(100\pi \text{ cm}^2\).
12. [1]

BECE 2026 · Paper 1

A number is chosen at random from the set \(P = \{1, 2, 3, 4, 5, \ldots 10\}\). What is the probability that the number is greater than 3?
13. [1]

BECE 2026 · Paper 1

Antwi has 20 mangoes and 20% are rotten. How many of them are not rotten?
14. [1]

BECE 2026 · Paper 1

Simplify: \(\sqrt{75} - \sqrt{18} - \sqrt{3} + \sqrt{2}\).
15. [1]

BECE 2026 · Paper 1

If \(a = \begin{pmatrix} 3 \\ 1 \end{pmatrix}\) and \(b = \begin{pmatrix} -2 \\ 1 \end{pmatrix}\), evaluate \(6b + 2a\).
16. [1]

BECE 2026 · Paper 1

Which of the following is not a composite number?
17. [1]

BECE 2026 · Paper 1

Factorize: \(3a^2b - 9ab^2\).
18. [1]

BECE 2026 · Paper 1

A boy spends \(\dfrac{1}{4}\) of his pocket money on books and \(\dfrac{1}{3}\) on pens. What fraction remains?
19. [1]

BECE 2026 · Paper 1

Change 25% to a fraction in its lowest form.
20. [1]

BECE 2026 · Paper 1

Evaluate: \(p^2(q - 1)\) when \(p = 2\) and \(q = \dfrac{3}{4}\).
21. [1]

BECE 2026 · Paper 1

A cyclist travelling at 20 km/h covered a distance in 35 minutes. What time will it take to cover the same distance travelling at 28 km/h?
22. [1]

BECE 2026 · Paper 1

Mary receives a commission of 15% on articles sold in a week. If her commission was \(\text{GH}¢ 60.00\), how much sales did she make?
23. [1]

BECE 2026 · Paper 1

Find the value of \(y\) in the diagram.
Diagram for question 23
24. [1]

BECE 2026 · Paper 1

The product of three numbers is 90. If two of the numbers are 6 and 3, find the third number.
25. [1]

BECE 2026 · Paper 1

What is the rule for the mapping?
Diagram for question 25
26. [1]

BECE 2026 · Paper 1

Simplify: \(x - 5(3 - 2x) - 12x + 7\).
27. [1]

BECE 2026 · Paper 1

Given that \(\mu = \{1, 2, 3, \ldots 10\}\) and \(M = \{2, 3, 5, 7\}\), where \(M\) is a subset of \(\mu\). List the members in \(\mu\) that are not in \(M\).
29. [1]

BECE 2026 · Paper 1

Find the probability that a learner selected at random scored 2.
Diagram for question 29
30. [1]

BECE 2026 · Paper 1

If \((x + 2) : (x - 2) = 1 : 2\), find the value of \(x\).
31. [1]

BECE 2026 · Paper 1

Kofi paid an interest of \(\text{GH}¢ 30.00\) on a loan he took for 4 years. If the rate was 3% per annum simple interest, find the amount borrowed.
32. [1]

BECE 2026 · Paper 1

Solve: \(7 - 2x > 15 - 4x\).
33. [1]

BECE 2026 · Paper 1

Theresa was asked to select at random a letter from the word HAPPY. What is the probability that she select the letter P?
34. [1]

BECE 2026 · Paper 1

Mr Mensah left his house at 9:45 am and reached his village at 4:15 pm. Find the time spent.
35. [1]

BECE 2026 · Paper 1

Two sets which have the same number of members are . . . sets
36. [1]

BECE 2026 · Paper 1

A square of area 144 cm² has the same perimeter as an equilateral triangle. Find the length of a side of the triangle.
37. [1]

BECE 2026 · Paper 1

If \(2^{2m} = 8\), find the value of \(m\).
38. [1]

BECE 2026 · Paper 1

If \(\dfrac{3}{4}x = 2 + \dfrac{1}{4}\), find the value of \(x\).
39. [1]

BECE 2026 · Paper 1

The marks obtained by 11 learners in a test are: 2, 5, 5, 6, 7, 7, 8, 8, 8, 9, 10. What is the modal mark?
40. [1]

BECE 2026 · Paper 1

Find the image of the point \((2, -3)\) under the transformation \(\begin{pmatrix} x \\ y \end{pmatrix} \to \begin{pmatrix} x \\ y - 2 \end{pmatrix}\).

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