BECE 2026 Mathematics Past Questions and Answers
The BECE 2026 Mathematics paper has 40 objective and 6 theory questions. Here are sample objective questions with the correct answers and explanations. Sit the full paper with the real time limit on ePrep.
Sample questions with answers
1. Arrange the following: $\frac{3}{4}, 0.8, \frac{5}{8}, 0.65$ in descending order.
- A. $0.8, \frac{3}{4}, 0.65, \frac{5}{8}$
- B. $\frac{5}{8}, 0.8, \frac{3}{4}, 0.65$
- C. $0.65, \frac{5}{8}, \frac{3}{4}, 0.8$
- D. $\frac{3}{4}, \frac{5}{8}, 0.8, 0.65$
Answer: A. $0.8, \frac{3}{4}, 0.65, \frac{5}{8}$
As decimals: $\frac{3}{4} = 0.75$ and $\frac{5}{8} = 0.625$. Largest to smallest: $0.8, 0.75, 0.65, 0.625$.
As decimals: $\frac{3}{4} = 0.75$ and $\frac{5}{8} = 0.625$. Largest to smallest: $0.8, 0.75, 0.65, 0.625$.
2. Mr Mensah left his house at 9:45 am and reached his village at 4:15 pm. Find the time spent.
- A. 5 hours 30 minutes
- B. 8 hours
- C. 6 hours 30 minutes
- D. 7 hours
Answer: C. 6 hours 30 minutes
9:45 am to 3:45 pm is 6 hours, and 3:45 pm to 4:15 pm is 30 minutes. Total: 6 hours 30 minutes.
9:45 am to 3:45 pm is 6 hours, and 3:45 pm to 4:15 pm is 30 minutes. Total: 6 hours 30 minutes.
3. In a test, $\frac{2}{3}$ of the learners passed. If the number of learners who failed was 69, how many passed?
- A. 23
- B. 138
- C. 46
- D. 207
Answer: B. 138
$\frac{1}{3}$ failed $= 69$, so the class has $207$ learners. Passed $= \frac{2}{3} \times 207 = 138$.
$\frac{1}{3}$ failed $= 69$, so the class has $207$ learners. Passed $= \frac{2}{3} \times 207 = 138$.
4. Factorize: $3a^2b - 9ab^2$.
- A. $3ab(a - 3b)$
- B. $ab(3a - b)$
- C. $3ab(b - 3a)$
- D. $ab(3b - a)$
Answer: A. $3ab(a - 3b)$
The common factor is $3ab$: $3a^2b - 9ab^2 = 3ab(a - 3b)$.
The common factor is $3ab$: $3a^2b - 9ab^2 = 3ab(a - 3b)$.
5. Find the volume of a cube with side 5 m.
- A. 10 m$^3$
- B. 75 m$^3$
- C. 25 m$^3$
- D. 125 m$^3$
Answer: D. 125 m$^3$
Answer: D. Volume of a cube = side³ = 5³ = 125 m³.
Answer: D. Volume of a cube = side³ = 5³ = 125 m³.
6. A trader sold an article for GH₵126.00 making a profit of 20%. Find the cost price of the item.
- A. GH₵100.50
- B. GH₵105.00
- C. GH₵100.80
- D. GH₵151.20
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7. Write 0.000437 in standard form.
- A. $4.37 \times 10^{-4}$
- B. $4.37 \times 10^{-3}$
- C. $4.37 \times 10^{4}$
- D. $4.37 \times 10^{3}$
Answer and explanation: practise this paper on ePrep.
8. Mary receives a commission of 15% on articles sold in a week. If her commission was GH₵60.00, how much sales did she make?
- A. GH₵900.00
- B. GH₵90.00
- C. GH₵400.00
- D. GH₵40.00
Answer and explanation: practise this paper on ePrep.
9. Simplify: $\sqrt{75} - \sqrt{18} - \sqrt{3} + \sqrt{2}$.
- A. $4\sqrt{3} - 2\sqrt{2}$
- B. $3\sqrt{3} - 2\sqrt{2}$
- C. $4\sqrt{3} + 2\sqrt{2}$
- D. $3\sqrt{3} + 2\sqrt{2}$
Answer and explanation: practise this paper on ePrep.
10. Theresa was asked to select at random a letter from the word HAPPY. What is the probability that she select the letter P?
- A. $\frac{1}{5}$
- B. $\frac{1}{2}$
- C. $\frac{2}{5}$
- D. $\frac{3}{5}$
Answer and explanation: practise this paper on ePrep.
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