BECE mock exam

Mathematics — Palm & Cedar March 2026 Mathematics

50 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

The Venn diagram below shows two sets P and Q formed from universal set U. If n(Q) = 3n(P), use it to answer this question. What is the value of x?
Diagram for question 1
2. [1]

BECE mock · Mathematics

The Venn diagram below shows two sets P and Q formed from universal set U. If n(Q) = 3n(P), use it to answer this question. Find n(PUQ).
Diagram for question 2
3. [1]

BECE mock · Mathematics

What is the value of 7 in the sum of 22349 and 5564?
4. [1]

BECE mock · Mathematics

Mrs. Adu has an amount of GH¢ 468527.00 in his bank account. The bank decides to round all customers account balances to the nearest thousand Ghana cedis. What is Mrs. Adu's new balance?
5. [1]

BECE mock · Mathematics

Express the product of 0.06 and 0.09 in standard form.
6. [1]

BECE mock · Mathematics

By how much is \(\dfrac{5}{7}\) more than \(\dfrac{3}{5}\)?
7. [1]

BECE mock · Mathematics

Given that N = {x : x is a factor of 18} and M = {x : x is a multiple of 12}. Find N ∩ M.
8. [1]

BECE mock · Mathematics

Solve for \(x\) if \(\dfrac{x-1}{3} - \dfrac{2-x}{5} = 3\).
9. [1]

BECE mock · Mathematics

Express 250° as a compass bearing.
10. [1]

BECE mock · Mathematics

Given that \(\dfrac{5 \times 10^3}{8 \times 10^{-2}} = 6.25 \times 10^n\), find the value of \(n\).
11. [1]

BECE mock · Mathematics

Simplify: \(\dfrac{1}{2}\left(1\dfrac{1}{2} + \dfrac{3}{4} \div \dfrac{1}{4}\right)\).
12. [1]

BECE mock · Mathematics

What is the rule of the mapping below?
Diagram for question 12
13. [1]

BECE mock · Mathematics

Simplify \(\sqrt{27} - 3\sqrt{3} + \sqrt{3}\).
14. [1]

BECE mock · Mathematics

The equation of a straight line given as \(4y + 12x = 16\). Find the gradient of the line.
15. [1]

BECE mock · Mathematics

The VAT of a country is charged at a rate of 12½%. Calculate the VAT on an article sold for GH¢ 500.00.
16. [1]

BECE mock · Mathematics

The diagonal of a square room is 8m long. Find the length of the room.
17. [1]

BECE mock · Mathematics

Make \(p\) the subject of the relation \(y = \dfrac{r + p}{r - p}\).
18. [1]

BECE mock · Mathematics

Factorize completely \(5x^2 - 18x - 8\).
19. [1]

BECE mock · Mathematics

Which of the following is not true of a regular polygon?
20. [1]

BECE mock · Mathematics

A number is chosen at random from the set where x is an integer and 1 ≤ x ≤ 9. Find the probability that it is a multiple of 3 or a prime number.
21. [1]

BECE mock · Mathematics

The bearing of Tema from Kumasi is 045°. What is the bearing of Kumasi from Tema?
22. [1]

BECE mock · Mathematics

Find the range of the numbers 15, 7, 4, 9, 2, 5, 18, 33, 10 and 5.
23. [1]

BECE mock · Mathematics

Find the gradient of the line joining the points M(-4, 0) and N(0, 6).
24. [1]

BECE mock · Mathematics

The cost of a freezer is GH¢3600.00. If a woman decides to pay GH¢800.00 monthly, how long will it take to complete the payment?
25. [1]

BECE mock · Mathematics

Adu is y years old now. Five years ago, he was half as old as he is now. Find his age now.
26. [1]

BECE mock · Mathematics

The exterior angle of a regular polygon is 45°. Find the sum of its interior angles.
27. [1]

BECE mock · Mathematics

In the diagram below, ST//QR, /PS/=6cm, /SQ/=3cm and /PT/=8cm. Find /TR/.
Diagram for question 27
28. [1]

BECE mock · Mathematics

A long wooden bar is cut into three parts in the ratio 5 : 3 : 7. If the longest part is 98 cm long, find the length of the wooden bar.
29. [1]

BECE mock · Mathematics

To inscribe a triangle, one needs to:
30. [1]

BECE mock · Mathematics

An insurance company issues fire insurance at a premium of 5.5% of the insured value. If a customer pays a premium of GH¢330.00, find the value of the customer's shop.
31. [1]

BECE mock · Mathematics

The outcomes obtained when a die is rolled 250 times are shown in the table below. Use the information to answer this question. Find the value of x.
Diagram for question 31
32. [1]

BECE mock · Mathematics

The outcomes obtained when a die is rolled 250 times are shown in the table below. Use the information to answer this question. Find the probability of obtaining a prime number.
Diagram for question 32
33. [1]

BECE mock · Mathematics

The outcomes obtained when a die is rolled 250 times are shown in the table below. Use the information to answer this question. What is the sum of the outcome greater than 3?
Diagram for question 33
34. [1]

BECE mock · Mathematics

A box contains 40 identical balls of which 10 are red and 12 are blue. If a ball is selected at random from the box, what is the probability that it is neither red nor blue?
35. [1]

BECE mock · Mathematics

Given that n(K) = 10, n(Y) = 8 and n(K∩Y) = 3. Find n(K∪Y).
36. [1]

BECE mock · Mathematics

15 boys painted a house in 10 days. How many days would 25 boys use to paint the house if they work at the same rate?
37. [1]

BECE mock · Mathematics

The difference between two numbers is 5. If the ratio of the two numbers is 3:2, find the two numbers.
38. [1]

BECE mock · Mathematics

Find the magnitude of the vector \(\overrightarrow{AB} = \begin{pmatrix} -3 \\ 4 \end{pmatrix}\).
39. [1]

BECE mock · Mathematics

A map shows a scale of 1:5000. What is the actual distance between two towns that are 8cm on the map?
40. [1]

BECE mock · Mathematics

A set of playing cards is numbered 1 to 20. Find the probability that a card drawn at random has a number within the interval \(5 < x < 12\).
41. [15]

BECE mock · Mathematics

P and Q are two sets and their number of elements are shown in the diagram below; Given that n(P)=n(Q), calculate: (i) n(P∩Q) (ii) n(Q) (iii) n(P∪Q)
Diagram for question 41
42. [5]

BECE mock · Mathematics

1. (b) A tank can hold 240 liters of water. How much water is in the tank when it is 1/5 empty?
43. [10]

BECE mock · Mathematics

2. (a) A ladder which is 17m high is placed against a vertical wall. If the distance separating the foot of the ladder and the wall is 8m, (i) Make a sketch to illustrate the information. (ii) Find the height of the wall?
44. [5]

BECE mock · Mathematics

2. (b) In a hall, there are 175 persons. 12% are children, 56 are men and the rest are women. How many women are in the hall?
45. [10]

BECE mock · Mathematics

3. (a) A rectangular tank of sides 4m by 8m by 11m has the same volume as a cylindrical tank of height 7m with both ends opened. Find the radius of the cylindrical tank. [Take π = 22/7]
46. [10]

BECE mock · Mathematics

3. (b) The probabilities that John and James will pass an examination are 3/4 and 1/4 respectively. Find the probability that both will fail the examination.
47. [10]

BECE mock · Mathematics

4. (a) The interior angles of a triangle are (y + 10)°, (2y - 40)°, (3y - 90)°. (i) Find the value of y (ii) What type of triangle is it?
48. [10]

BECE mock · Mathematics

Find the value of x° in the diagram below.
Diagram for question 48
49. [20]

BECE mock · Mathematics

The table below shows the monthly contributions and expenditure pattern of Mr Ali in 2025. (a) Draw a pie chart to illustrate the data. (b) If the income tax was deducted from the gross monthly salary of GH¢ 2800.00, find his take home pay
Diagram for question 49
50. [20]

BECE mock · Mathematics

6. Using a scale of 2cm to 2 units on each axes, draw on a graph sheet of paper two perpendicular line Ox and Oy for the interval -8 ≤ x ≤ 12 and -12 ≤ y ≤ 12 (a) Draw ΔABC with coordinates A(5, 7), B(3, 4) and C(7, 3) (b) Draw the image ΔA1B1C1 of ΔABC under translation by the vector (4, -2) such that A → A1, B → B1 and C → C1 (c) Draw the image ΔA2B2C2 of ΔABC under reflection in the line y = 0, such that A → A2, B → B2 and C → C2 (d) Draw ΔA3B3C3 of ΔABC the image under rotation through 90° anticlockwise about the origin, such that A → A3, B → B3 and C → C3

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