BECE mock exam

Mathematics — CEMPE March 2026 Mathematics

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

1. [1]

BECE mock · Mathematics

A pencil and 6 erasers cost Gh¢15.00. The pencil cost Gh¢6.00. What is the cost of one eraser?
2. [1]

BECE mock · Mathematics

Solve the equation \(10^{2x}=0.000001\)
3. [1]

BECE mock · Mathematics

If p oranges are sold for q pesewas each, find the total selling price in cedis
4. [1]

BECE mock · Mathematics

Which of the basic properties of rational numbers is used in the following experation? \((27x24) +(23x24)=50x24\)
5. [1]

BECE mock · Mathematics

The set p={prime factors of 24} and the set Q ={ prime factors of 35}. List the members of P∪Q
6. [1]

BECE mock · Mathematics

Find the median of the numbers 25,57, 17, 33, 73, 81, 42
7. [1]

BECE mock · Mathematics

Factorize x (x-2) - 3xy +6y
8. [1]

BECE mock · Mathematics

If 15-px -x² = 0 find p, when x =3
9. [1]

BECE mock · Mathematics

Make w the subject of the relation \(\frac{1}{y}= \frac{a}{x} + \frac{b}{w}\)
10. [1]

BECE mock · Mathematics

In the diagram OP || NQ, MSN is a straight line MÔP =53 and SNQ =135°. Find OMS.
Diagram for question 10
11. [1]

BECE mock · Mathematics

What is P∩Q in the diagram below?
Diagram for question 11
12. [1]

BECE mock · Mathematics

A circle of diameter 14cm is cut from a square of side 14cm. Find the remaining area (Take π=22/7)
13. [1]

BECE mock · Mathematics

An increase of 20% in Yaa’s salary raised it to Gh¢24000.00. What was her original salary?
14. [1]

BECE mock · Mathematics

What is the rule for the mapping below?
Diagram for question 14
15. [1]

BECE mock · Mathematics

A car travels at an average speed of 80km/h How far does it travel in 48 minutes?
16. [1]

BECE mock · Mathematics

The exterior angle of a regular polygon is 120°. Find the sum of its interior angles
17. [1]

BECE mock · Mathematics

By selling a radio for Gh600.00, a man made a loss of 25%. What was the cost of the radio?
18. [1]

BECE mock · Mathematics

The gradient of a gentle hill is 0.5. What is the vertical rise corresponding to a horizontal distance of 160m?
19. [1]

BECE mock · Mathematics

Find the tangent of the angle x in the diagram
Diagram for question 19
20. [1]

BECE mock · Mathematics

A trader received a commission of 12.5% on sales made in a month. His commission was Gh¢3500.00. Find his total sales for the month
21. [1]

BECE mock · Mathematics

If r = \( \begin{pmatrix} 3 \\ 1 \end{pmatrix} \) and v = \( \begin{pmatrix} -2 \\ 1 \end{pmatrix} \) evaluate 6(r+2v)
22. [1]

BECE mock · Mathematics

If 22% of the length of a rope is 55cm. Find the full length of the rope
23. [1]

BECE mock · Mathematics

How many lines of symmetry does a rectangle have?
24. [1]

BECE mock · Mathematics

Which properly is illustrated by the statement ax(b+c) =(axb)+ (axc)?
25. [1]

BECE mock · Mathematics

Solve the equation 13x -2 (3x+4)=22
26. [1]

BECE mock · Mathematics

Simplify -27+18-(10-14)-(-2)
27. [1]

BECE mock · Mathematics

Yaa went to the market and bought 500g of meat 850g of eggs and 900g of fish. What is the total weight of the items she bought in kilo grams?
28. [1]

BECE mock · Mathematics

A boy walks on a bearing 060°. Which of the following diagram show his direction?
Diagram for question 28
29. [1]

BECE mock · Mathematics

The point Y (5, 4) is reflected in the y-axis. Find its image
30. [1]

BECE mock · Mathematics

Calculate the volume of a cylinder with diameter 14cm and height 10cm. (Take x=22/7)
31. [1]

BECE mock · Mathematics

The average age of five boys is 16years. The average age of four of them is 18years 6months. What is the age of the fifth boy?
32. [1]

BECE mock · Mathematics

Find the value of 9+y² -6y when y= -2
33. [1]

BECE mock · Mathematics

If \( \frac{m+1}{m-2} = r\), express m in terms of r
34. [1]

BECE mock · Mathematics

Which of the fractions 3/5, 7/10, 13/20 and 3/4 is the greatest?
35. [1]

BECE mock · Mathematics

Which of the following is a prism?
36. [1]

BECE mock · Mathematics

The price of an article was increased by 10%. How many times was the new price greater than the old price?
37. [1]

BECE mock · Mathematics

What length of carpet 0.75m wide will be required to cover completely the floor of a room which is 15m long and 10m wide?
38. [1]

BECE mock · Mathematics

Factorize x²-5x+6
39. [1]

BECE mock · Mathematics

An angle which is more than 90° but less than 180° is.............
40. [1]

BECE mock · Mathematics

What is the image of -4 in the mapping x → 2x -9?
41. [10]

BECE mock · Mathematics

1. a. Mrs. Annor was allowed a discount of 12% on a brand-new freezer which cost Gh¢7,430.00. Find the i. discount ii. amount he paid for the freezer
42. [10]

BECE mock · Mathematics

1. b. Given that (5x-7)° and (7x+13)° are complementary, find the value of x
43. [10]

BECE mock · Mathematics

1. c. Simplify (8x/5) - ((2r-5n)/3)
44. [10]

BECE mock · Mathematics

2. a. The sum of the ages of Yaw and Ama is 27. Yaw is 5 years older than Ama. Find the age of Yaw and Ama
45. [10]

BECE mock · Mathematics

2. b. Find the solution set of the inequality 6+3(5-2b)-2(b-3)>3, if b has a domain {0,1,2,3,4,5}
46. [10]

BECE mock · Mathematics

2. c. If p = ((2x-1),(4)) , q = ((10),(-8)) and r = ((3),(5+y)) find the values of x and y if r = 1/2 q-p.
47. [10]

BECE mock · Mathematics

3. a. Find 0.0009 x 0.074 x 0.00006, leaving the answer in standard form.
48. [10]

BECE mock · Mathematics

3. b. Simplify √12 + 3/√3
49. [10]

BECE mock · Mathematics

3. c. Given that 2/y = a/x + b/u, make x the subject of the relation
50. [10]

BECE mock · Mathematics

4. a. A man sold an article for Gh1500.00 and made a profit of 20%, find the cost price of the article
51. [20]

BECE mock · Mathematics

The data shows the masses (kg) of 10 baskets full of cassava sent to market by a farmer i. Find the ; α. the value of x β. mean mass ii. Find the probability of selecting a baskets at random whose mass is prime
Diagram for question 51
52. [10]

BECE mock · Mathematics

5. a. A ladder 8 metres long leans against a wall and makes an angle of 60° with the ground. How far from the wall is the foot of the ladder? (Take cos 60°= 0.5)
53. [10]

BECE mock · Mathematics

5. b. The ratio of the sheep to goats on a farm is 4:7. If there are 1428 sheep, find the number of goats on the farm.
54. [10]

BECE mock · Mathematics

5. c. i. Calculate 1/2 + 5/12 - 2/3 x 4
55. [10]

BECE mock · Mathematics

5. c. ii. Evaluate 72.4^2 - 31.4^2
56. [20]

BECE mock · Mathematics

6. a. Using a scale of 2cm to 3units on both axe is, draw on a graph sheet two perpendicular axes ox and oy for the interval -10

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