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. 
Which of the following inequalities is represented on the number line?
#2. Ama is three times as old as Kofi. The sum of their ages is 40. How old is Ama?
#3. Expand and simplify: 2(3a + 1) − 3(4a − 3).
#4. A trader received a commission of 5 % on goods sold at GH¢ 25,000.00. Find the commission.
#5. What is the missing number in the sequence: −5, −2, 1, …, 7?
#6. A point (−2, 3) is reflected in the x-axis. Find the image of the point.
#7. 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?
#8. Given that 0.03 × y = 2.4, find the value of y.
#9. How long will the simple interest on GH¢ 550.00 at 12 % per annum be GH¢ 132.00?
#10. 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]
#11. 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?
#12. 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.
#13. Solve: 3(x − 5) > 15 − 4(8 − x).
#14. 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?
#15. Find the largest value of these numbers: −1, 0, −6, −3.
#17. Given that P = {4, 8, 12, 16, 20} and Q = {2, 4, 6, 8, 10}, find the product of the members of (P ∩ Q).
#18. Express 36 as a product of primes.
#19. Find the rule for the mapping: 1→9, 2→20, 3→31, 4→42, …, t→…
#20. 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?
#21. A farmer feeds 20 goats with 500 kg of cassava. How many goats can be fed with 200 kg of cassava?
#22. 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.
#23. When 0.24 is expressed in the lowest form as a/b, the denominator is
#24. Describe the set of M = {2, 3, 5, 7, 11, 13, 17, 19} in words.
#25. The population of a town is 56782. What is this number to three significant figures?
#26. Factorize: 5ay − by + 15a − 3b.
#27. It costs a carpenter GH¢ 25.00 to make a chair. How much should it be sold to make a profit of 40 %.
#28. 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.
#29. If 2y = 5 − 3x, find x when y = 1.
#30. Two interior angles of a triangle are (3x − 10)° and (4x + 20)°. Find an expression for the third angle.
#31. 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.
#32. Multiply (8s − 7) by (8s + 7).
#33. 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.
#34. The points M(1, 3) and N(4, 5) are in the number plane. Find the vector 
.
#35. Solve: 4x − 2(x + 5) = −10.
#36. Esi made sales of 15 twenty cedi notes, 14 ten cedi notes and 15 two cedi notes. Find her total sales.
#37. 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?
#38. Find the gradient of the line which passes through the points (2, 3) and (−4, 5).
#39. 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?
#40. If a = (−2, 1) and b = (−5, −3), find 2a − b.
