BECE mock exam

Mathematics — Fast Printing Super Mock April 2026 Mathematics

53 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

Which of the pair of angles represent the two angles of a right-angled triangle?
2. [1]

BECE mock · Mathematics

Which decimal numeral is equivalent to 24/9?
3. [1]

BECE mock · Mathematics

Express 4 + 3 in a simplified form.
4. [1]

BECE mock · Mathematics

Find the sum of even numbers in the set of whole numbers less than eleven.
5. [1]

BECE mock · Mathematics

A box contains 50 pens. If Aku sells 4 boxes of such pens at GH¢1.50 each, calculate the total selling price of all the four boxes.
6. [1]

BECE mock · Mathematics

What is the place value of the digit 4 in the number 5,647,893?
7. [1]

BECE mock · Mathematics

Correct 453789 to three significant figures.
8. [1]

BECE mock · Mathematics

Which of the following best describes set N from the diagram below?
Diagram for question 8
9. [1]

BECE mock · Mathematics

What are the elements in set M only in the below diagram?
Diagram for question 9
10. [1]

BECE mock · Mathematics

Evaluate (-16 + 4) - (13 - 22) + (-19).
11. [1]

BECE mock · Mathematics

Write 6.23 × 10^−2 as a decimal numeral.
12. [1]

BECE mock · Mathematics

Solve for w if 2½w + 1 = 2w - 1.
13. [1]

BECE mock · Mathematics

The scale on a map is 1:500. Find the actual distance between two villages that is 5.5 cm apart on the map. Represent the answer in metres.
14. [1]

BECE mock · Mathematics

A three-dimensional figure that has two circular ends and a curved surface is known as
15. [1]

BECE mock · Mathematics

Arrange the following in descending order of magnitude: 0.05, 4/5, 25%, 1/2
16. [1]

BECE mock · Mathematics

The average of four numbers is 3. When a fifth number was added, the average dropped to 2. Find the fifth number.
17. [1]

BECE mock · Mathematics

The selling price of a microwave oven is GH¢450.00. If a profit of 20% is made on the selling price, what is the cost price?
18. [1]

BECE mock · Mathematics

There are 45 learners in a class. If 15 of the learners are boys, what percentage of the learners are girls?
19. [1]

BECE mock · Mathematics

The volume of a cuboid is 1248 cm³. If the length and breadth are 13m and 12m respectively, calculate the height.
20. [1]

BECE mock · Mathematics

The sum of the interior angles of a polygon is 2160°. How many sides has the polygon?
21. [1]

BECE mock · Mathematics

How many balls are in the box?
22. [1]

BECE mock · Mathematics

Find the probability of picking a yellow ball at random from the box.
23. [1]

BECE mock · Mathematics

A circle whose radius is 7 cm is enlarged by a scale factor of 2. Find the area of the enlarged circle.
24. [1]

BECE mock · Mathematics

Find the Least Common Multiple of 20, 60 and 72.
25. [1]

BECE mock · Mathematics

A sewing machine that cost GH¢1200 was sold for GH¢1500. Calculate percentage profit.
26. [1]

BECE mock · Mathematics

Find the modulus of a line joining M(1,2) and R(4,6).
27. [1]

BECE mock · Mathematics

What is the image of the point (-4,6) under translation by vector (2,-3)?
28. [1]

BECE mock · Mathematics

16 girls sweep in 24 min. How many girls for 32 min?
29. [1]

BECE mock · Mathematics

Factorize xy + 3y - x - 3.
30. [1]

BECE mock · Mathematics

The locus of a point equidistant from a fixed point is
31. [1]

BECE mock · Mathematics

A businessman gives 6% commission. If GH¢300 is commission, find total sales.
32. [1]

BECE mock · Mathematics

VAT exclusive price GH¢600, VAT 15%, find final price.
33. [1]

BECE mock · Mathematics

Convert 4.55 km to mm.
34. [1]

BECE mock · Mathematics

Express 0.036×2.5 in standard form.
35. [1]

BECE mock · Mathematics

Asana is 8 years younger than Fuseini (23). Find Asana's age.
36. [1]

BECE mock · Mathematics

Cyclist travels at 60 km/h for 2h45min. Distance?
37. [1]

BECE mock · Mathematics

Sum of 3 consecutive numbers is 72. Find smallest.
38. [1]

BECE mock · Mathematics

Esther saves GH¢2800 at 15% for 3 years. Amount?
39. [10]

BECE mock · Mathematics

1. (a) Given that X = {Factors of 24} and Y = {Multiples of 3 less than 30}, find X ∩ Y.
40. [15]

BECE mock · Mathematics

1. (b) Given the expression: 1/r = 2p - 5/q, (i) make r the subject of the expression; (ii) find the value of r using the result obtained in (b)(i), where q = -2 and p = 1.
41. [10]

BECE mock · Mathematics

1. (c) A trader invested GH¢ 4,800.00 at a rate of 5% simple interest per annum for 8 months. Calculate the interest received.
42. [20]

BECE mock · Mathematics

2. (a) A shop allows 4% discount on the marked price of a gas oven. If a customer paid GH¢ 6,000.00 for 10 of such ovens, (i) what is the marked price of one of such ovens; (ii) find the discount given on an oven; (iii) how much did the customer save for buying the ovens?
43. [10]

BECE mock · Mathematics

From the diagram below, find the value of the angle marked x.
Diagram for question 43
44. [10]

BECE mock · Mathematics

2. (c) Given that vectors R = (-4,9), U = (x,y) and U + R = (-6,13), find the component of U.
45. [10]

BECE mock · Mathematics

3. (a) Simplify 0.0225 × 0.0256 / (0.0015 × 0.48), leaving your answer in standard form.
46. [15]

BECE mock · Mathematics

3. (b) The cost N Ghana cedis for hiring a car for a journey of P km is given by the expression N = 6p + 2.50. (i) Find the cost of hiring the car for a journey of 350 km. (ii) How long is the journey if the cost of hiring the car is GH¢15.34?
47. [10]

BECE mock · Mathematics

3. (c) Using a ruler and a pair of compasses only, (i) construct triangle ABC such that |AB| = 6.5 cm, |BC| = 9 cm and |AC| = 8.5 cm; (ii) Measure angle CAB.
48. [20]

BECE mock · Mathematics

In the diagram below, AB is parallel to DC, ABDE is a parallelogram and BCE is an isosceles triangle with |BC| = |BE|. |AD| = 5 cm, |AB| = 10 cm and |CD| = 16 cm. Find (i) area of ABCD; (ii) perimeter of ABCD.
Diagram for question 48
49. [10]

BECE mock · Mathematics

4. (b) Mr. Abban withdrew some money from the bank. He used 3/4 of it to pay rent and gave 1/5 to his children. If he had GH¢150.00 left, how much did he take from the bank?
50. [20]

BECE mock · Mathematics

The pie chart below shows the distribution of 900 students (boys and girls) to various houses in Gbegbe Senior High School. (i) How many more students are in Blue House than Green House? (ii) If there are 225 girls in Red House, how many boys are in Red House?
Diagram for question 50
51. [10]

BECE mock · Mathematics

5. (b) When four is added to three times a certain number, the result is not more than when twice that number is added to 10. Find the possible range of values of the number and illustrate it on a number line.
52. [10]

BECE mock · Mathematics

6. (a) Find the mean of the set of members for composite numbers less than 12.
53. [20]

BECE mock · Mathematics

6. (b) (i) Using a scale of 2 cm to 2 units on both axes, draw two perpendicular axes Ox and Oy on a graph sheet. (ii) On the same graph sheet, mark the x-axis and y-axis with ranges such that -10 ≤ x ≤ 10 and -12 ≤ y ≤ 12 respectively. (iii) Plot on the same graph sheet, the points A(2,1), B(3,4) and C(4,2). Join the points to form triangle ABC. (iv) Draw the enlargement triangle A1B1C1 of triangle ABC under a scale factor 2 from the origin (0,0). (v) Draw the image triangle A2B2C2 of triangle A1B1C1 under a translation by the vector (-10,-14).

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