BECE mock exam

Mathematics — Palm & Cedar Super Mock April 2026 Mathematics

49 questions to work through. Answer them here, or take the whole thing timed with an account.

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1. [1]

BECE mock · Mathematics

Given the set P = { -4 < x ≤ 3}, Find n(P)
2. [1]

BECE mock · Mathematics

Solve for x, if 4(x - 3) + 2x = 7x - 9
3. [1]

BECE mock · Mathematics

A regular polygon has 18 sides, find the value of each interior angle
4. [1]

BECE mock · Mathematics

What is the range of the scores?
5. [1]

BECE mock · Mathematics

Find the mean score
6. [1]

BECE mock · Mathematics

What is the modal score?
7. [1]

BECE mock · Mathematics

How long will the simple interest on GH¢550.00 at 12% per annum be GH¢132.00
8. [1]

BECE mock · Mathematics

Find the vector which translates the point (2,4) to the point (5,3)
9. [1]

BECE mock · Mathematics

Given that 4^x = 1, find the value of x
10. [1]

BECE mock · Mathematics

The height of a number of seedling is 7.0959cm, correct this value to three significant figures.
11. [1]

BECE mock · Mathematics

Find the total gate fee paid by 200 adults and 120 students at Kakum National park if the rates are GH¢50.00 and GH¢10.00 respectively.
12. [1]

BECE mock · Mathematics

Jude travelled a distance of 12km on a bicycle at an average speed of 3km/h. How long did it take him to make the trip?
13. [1]

BECE mock · Mathematics

In an examination 75% of the students passed. If 300 students passed the examination, how many students wrote the examination?
14. [1]

BECE mock · Mathematics

Which of the following is not a triangular number?
15. [1]

BECE mock · Mathematics

A purse contains four GH¢5.00 notes, five GH¢10.00 notes and three GH¢20.00 notes. If a note is selected at random, find the probability that it is a GH¢5.00 note.
16. [1]

BECE mock · Mathematics

From the solid shapes below, which of them is a prism?
17. [1]

BECE mock · Mathematics

Esi is three times as old as Kofi. If the sum of their ages is 40 years, find Esi’s age.
18. [1]

BECE mock · Mathematics

Solve 3(x - 5) > 15 - 4(8 - x)
19. [1]

BECE mock · Mathematics

Amina scored an average of 53 in French and mathematics. If she scored 50 and 60 in Science and social studies respectively, find her mean score in all the four subjects.
20. [1]

BECE mock · Mathematics

Find the magnitude of the vector (-5,12)
21. [1]

BECE mock · Mathematics

Which of the following are parallelograms? I Rectangle II Rhombus III Square
22. [1]

BECE mock · Mathematics

The length of a rectangular room is 4m. If it has a diagonal of 5m, find its perimeter.
23. [1]

BECE mock · Mathematics

Which of the following vectors is parallel to (5,2)
24. [1]

BECE mock · Mathematics

Ama has x pieces of cake. She gives y pieces to each of her five friends. How many pieces of cake does she have left?
25. [1]

BECE mock · Mathematics

What type of angle is ∠PQR in the diagram?
Diagram for question 25
26. [1]

BECE mock · Mathematics

Evaluate a^2 - (a - ab), if a = -3 and b = 5
27. [1]

BECE mock · Mathematics

Find the gradient of the line joining the points (2,5) and (5,14)
28. [1]

BECE mock · Mathematics

The volume of a cylindrical tank is 100 cm³. If the area of the base is 25cm², find its height.
29. [1]

BECE mock · Mathematics

Esi, Ama and kofi shared some oranges. Esi received 10 of the oranges, Ama received 15 oranges more than Esi and Kofi received 9 oranges less than Ama. How many oranges did Kofi receive?
30. [1]

BECE mock · Mathematics

Esi, Ama and kofi shared some oranges. Esi received 10 of the oranges, Ama received 15 oranges more than Esi and Kofi received 9 oranges less than Ama. How many oranges were shared?
31. [1]

BECE mock · Mathematics

Factorize 5ay - by + 15a - 3b
32. [1]

BECE mock · Mathematics

The interior angle of a quadrilateral is given by (k - 62). Find the value of k
33. [1]

BECE mock · Mathematics

Find the sum of the counting numbers between 12 and 18.
34. [1]

BECE mock · Mathematics

A woman gave birth to a son when she was 24 years old. Now she is three times as old as her son. Find the age of the son
35. [1]

BECE mock · Mathematics

The perimeter of a rectangle is 24cm. If the length is 7cm, find its area.
36. [1]

BECE mock · Mathematics

In an enlargement with scale factor 2, which of the following statements is not true?
37. [1]

BECE mock · Mathematics

Find the value of x in the diagram above.
Diagram for question 37
38. [1]

BECE mock · Mathematics

Simplify √12 + √48 - √3
39. [1]

BECE mock · Mathematics

Given that (3.14 × 18) × 17.5 = 3.14 × (3p × 17.5) find the value of p
40. [1]

BECE mock · Mathematics

The instrument that can be used to measure the angle formed at the circumference of a circle is called
41. [10]

BECE mock · Mathematics

1. In a survey conducted at Tema market, 1/4 of the female traders who sell Tomatoes(T) also sell Onions(O). 2/5 sell only tomatoes while 11/20 sell onions. 5 traders sell neither of the commodities. (a) Illustrate the information on a Venn diagram. (b) What fraction of the traders sell tomatoes? (c) If a trader is chosen at random, find the probability that she sells only one of the commodities.
42. [7]

BECE mock · Mathematics

The figure below shows a sports field of a school. Given that |AB| = 84cm and |AB| : |AD| = 3 : 1. Find the (a) area of the sports field (b) perimeter of the field [Take π = 22/7]
Diagram for question 42
43. [3]

BECE mock · Mathematics

2. (c) Write 46,002,807 in words
44. [3]

BECE mock · Mathematics

3. (a) Given the domain {x : 1 ≤ x ≤ 6} where x is a natural number, find the truth set of 1/3 (2x - 1) - 1/2 (x - 3) ≤ 1 3/4.
45. [4]

BECE mock · Mathematics

3. (b) In a District Assembly elections, a total of 45,600 valid votes were cast among five candidates: Ama, Kofi, Abena, Kwame, and Yaa. Ama received 1/8 of total votes, Kofi got 30% of the votes, Abena received 6,840 votes, and Kwame obtained 5,472 votes. The remaining votes went to Yaa. (i) find the total votes obtained by Ama, Kofi and Yaa altogether. (ii) Who won the election?
46. [6]

BECE mock · Mathematics

4. A water tank is 4/5 full of water. When 1,900 litres of water is fetched, the tank becomes 1/6 full of water. Find: (a) (i) the capacity of the water tank (ii) the initial volume of water in the tank (iii) correct to one decimal place, the volume of water remaining, in cubic centimeters.
47. [4]

BECE mock · Mathematics

4. (b) From the top T of a cliff, the angle of depression of a point P on the ground is 45° If the height of the cliff is 25cm (i) Draw a diagram to illustrate the information above (ii) Find the distance between the foot(F) of the cliff and the point P. [Take tan 45° = 1]
48. [10]

BECE mock · Mathematics

5. (a) Using a ruler and a pair of compasses only, construct triangle ABC such that |AB|=9cm, angle BAC = 60° and angle ABC = 45° (b) Construct a line from C perpendicular to AB and let it meet AB at P (c) With P as center and radius PB draw a circle (d) Calculate the perimeter of the circle. Correct to two decimal places. [Take π = 22/7]
49. [10]

BECE mock · Mathematics

The marks scored by some candidates in an English test are as follows: (a) Construct a frequency distribution table for the scores. (b) Using the table, find from the distribution, the (i) Modal score (ii) Mean, correct to one decimal place. (c) Illustrate the information on a bar chart. (d) If a student is chosen at random from the class, what is the probability that he/she scored above .
Diagram for question 49

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