2025 BECE Mathematics Questions & Answers (PDF)
Mathematics Paper 1
Take the 2025 BECE Mathematics objective test and evaluate your understanding of key mathematical concepts.
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#1. Ama has 4 one cedi notes and orders an ice cream for GH¢ 1.75 and two toffees at 50 GP each. How much does she have left?
#2. When 0.24 is expressed in the lowest form as a/b, the denominator is
#3. Find the gradient of the line which passes through the points (2, 3) and (−4, 5).
#4. Solve: 4x − 2(x + 5) = −10.
#5. Given that 0.03 × y = 2.4, find the value of y.
#6. Solve: 3(x − 5) > 15 − 4(8 − x).
#7. Given that P = {4, 8, 12, 16, 20} and Q = {2, 4, 6, 8, 10}, find the product of the members of (P ∩ Q).
#8. A box contains 10 green and 8 white balls of the same size. If a ball is selected at random from the box, what is the probability that it is green?
#9. A trader sold half of a piece of cloth and used two-fifths of the remaining to sew a dress. What fraction of the cloth was left?
#10. 
Which of the following inequalities is represented on the number line?
#11. A boy walked round a circular pond once. If the radius of the pond is 28 m, find the distance covered. [Take π = 22/7]
#12. Expand and simplify: 2(3a + 1) − 3(4a − 3).
#13. A point (−2, 3) is reflected in the x-axis. Find the image of the point.
#14. A farmer feeds 20 goats with 500 kg of cassava. How many goats can be fed with 200 kg of cassava?
#15. The area of a rectangular card is 15 cm². If each side of the card is enlarge by a scale factor 3, find the area of the enlarged card.
#16. Multiply (8s − 7) by (8s + 7).
#17. Find the largest value of these numbers: −1, 0, −6, −3.
#18. A rectangular container with dimensions 5 m by 3 m by 4 m is two-third full of water. Find the volume occupied by the water in the container.
#19. If a = (−2, 1) and b = (−5, −3), find 2a − b.
#20. What is the missing number in the sequence: −5, −2, 1, …, 7?
#21. It costs a carpenter GH¢ 25.00 to make a chair. How much should it be sold to make a profit of 40 %.
#22. The points M(1, 3) and N(4, 5) are in the number plane. Find the vector 
.
#23. Describe the set of M = {2, 3, 5, 7, 11, 13, 17, 19} in words.
#24. Express 36 as a product of primes.
#25. 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?
#26. A man spends GH¢ 560.00 out of his weekly wage of GH¢ 700.00 and saves the rest. What percent age did he save?
#27. Find the rule for the mapping: 1→9, 2→20, 3→31, 4→42, …, t→…
#28. A trader received a commission of 5 % on goods sold at GH¢ 25,000.00. Find the commission.
#29. Esi made sales of 15 twenty cedi notes, 14 ten cedi notes and 15 two cedi notes. Find her total sales.
#30. How long will the simple interest on GH¢ 550.00 at 12 % per annum be GH¢ 132.00?
#31. Ama is three times as old as Kofi. The sum of their ages is 40. How old is Ama?
#32. Anowa scored an average of 53 in Science and Mathematics. If she scored 50 and 60 in English Language and Social Studies respectively, find her mean score in all the four subjects.
#33. Factorize: 5ay − by + 15a − 3b.
#34. If 2y = 5 − 3x, find x when y = 1.
#35. The population of a town is 56782. What is this number to three significant figures?
#36. Two interior angles of a triangle are (3x − 10)° and (4x + 20)°. Find an expression for the third angle.
#38. A survey shows that 28 % of all the men in a village are vegetarian. What is the probability that a man selected at random from the village is a vegetarian?
#39. Charles and Helen started a business with an amount of GH¢7,000.00. If their contributions were in the ratio 4:3 respectively, find Helen’s contribution.
#40. Mr Adu bought 400 bags of maize for his farm animals. If he used 120 bags to feed the animals, find the percentage of the maize left.
