BECE past question

Mathematics 2021

Mathematics Paper 1

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1. [1]

BECE 2021 · Paper 1

If A = {1, 3, 5, 7, 9, 11, 13, 15} and B = {3, 6, 9, 12, 15}, find n(A∩B).
2. [1]

BECE 2021 · Paper 1

If P = {4, 8, 12, 16, 20}, Q = {16, 4, 12, k, 20} and P = Q, find the value of k.
3. [1]

BECE 2021 · Paper 1

Express 7352.4658 correct to three significant figures.
4. [1]

BECE 2021 · Paper 1

Find the difference between the values of (2d)² and 2d², when d = 3.
5. [1]

BECE 2021 · Paper 1

Find the image of p(-3, 5) when rotated through 360° about the origin.
6. [1]

BECE 2021 · Paper 1

The image of P(10, -3) when translated by the vector r is P’(4, 5). Find r.
7. [1]

BECE 2021 · Paper 1

Find the next two terms of the sequence: 2, 5, 10, 17, ....., ......
8. [1]

BECE 2021 · Paper 1

Express 134.78 correct to the nearest tenth
9. [1]

BECE 2021 · Paper 1

Kofi and Ama shared an amount of GH₵ 3,000.00 in the ratio 2:3. Find the amount received by Kofi.
10. [1]

BECE 2021 · Paper 1

If 2x – 1 = 5, find the value of x.
11. [1]

BECE 2021 · Paper 1

Solve: (1 − x) ÷ 3 < 4.
12. [1]

BECE 2021 · Paper 1

The area of a rectangle is 18 cm². If one of its sides is 2 cm long, find its perimeter.
13. [1]

BECE 2021 · Paper 1

A bag contains 5 red and 7 black balls of the same size. What is the probability of picking a black ball?
14. [1]

BECE 2021 · Paper 1

On a map, 1⁄3 cm represents 5 km. If two towns A and B are 18 cm apart on the map, what is the actual distance between them?
15. [1]

BECE 2021 · Paper 1

What is the rule for the above mapping? (Pairs shown: x: 1,2,3,4,5 map to y: 5,9,13,17,21.)
16. [1]

BECE 2021 · Paper 1

Find x when \(y = 37\) for the mapping \(y=4x+1\).
17. [1]

BECE 2021 · Paper 1

Esi bought a television set for GH₵ 1,500.00. If she sold it at a profit of 20%, find the selling price.
18. [1]

BECE 2021 · Paper 1

In the diagram, line AB is parallel to line PD. Find the value of x. (Diagram will be provided)
19. [1]

BECE 2021 · Paper 1

Make \(h\) the subject of the relation \(V = \pi r^{2}h\).
20. [1]

BECE 2021 · Paper 1

Find the simple interest on GH₵ 600.00 which was saved for 8 months at 5% per annum.
21. [1]

BECE 2021 · Paper 1

Priscila's age is k years while Mary's age is b years. If Mary is 15 years older than Priscila, which statement is correct?
22. [1]

BECE 2021 · Paper 1

What is the Highest Common Factor (HCF) of 24, 32 and 64?
23. [1]

BECE 2021 · Paper 1

Factorize: \(3ax + 6a - x - 2\)
24. [1]

BECE 2021 · Paper 1

A car covered a distance of 150 km at a speed of 18 km/h. Find the time taken.
25. [1]

BECE 2021 · Paper 1

Simplify \(3y - \dfrac{(2y - 3)}{4}\)
26. [1]

BECE 2021 · Paper 1

Divide 0.5445 by 0.09.
27. [1]

BECE 2021 · Paper 1

If the median of the numbers 9, 10, 12, x, 20 and 25 is 14, find the value of x.
28. [1]

BECE 2021 · Paper 1

Expand \((7r - 5)(3r + 4)\).
29. [1]

BECE 2021 · Paper 1

Find the gradient of the line that joins the points A(-3,5) and B(7,-2).
30. [1]

BECE 2021 · Paper 1

The area of a trapezium is 36 cm². If the parallel sides are 10.5 cm and 9.5 cm, calculate the distance between the two parallel sides.
31. [1]

BECE 2021 · Paper 1

If the average of 5, 6, 7 and x is 8, find the value of x.
32. [1]

BECE 2021 · Paper 1

An amount of GH₵ 375,000.00 was needed to build a clinic for a community of twelve towns. Each community contributed GH₵ 25,000.00. If the District Assembly also contributed GH₵ 30,500.00, how much more is needed to build the clinic?
33. [1]

BECE 2021 · Paper 1

Which property of arithmetic is shown in the equation (6 + x) + 5 = 6 + (x + 5)
34. [1]

BECE 2021 · Paper 1

A trader bought 100 tubers of yam for GH₵ n each. All the yams were sold at GH₵ m each. Find the profit.
35. [1]

BECE 2021 · Paper 1

A box can take 12 pencils. If 156 pencils are packed into such boxes, how many boxes will be fully packed?
36. [1]

BECE 2021 · Paper 1

Given that \(x = 4\), \(y = 7\), evaluate \(2xy + 3(x+y)\)
37. [1]

BECE 2021 · Paper 1

Simplify \(2\left(-\dfrac{1}{2}\right)^{2} + \left(-\dfrac{1}{2}\right) - 1\).
38. [1]

BECE 2021 · Paper 1

Given that \(x = 8\), what type of angle is \((9x + 8)^{\circ}\)?
39. [1]

BECE 2021 · Paper 1

Express 0.725 as a fraction in its lowest term.
40. [1]

BECE 2021 · Paper 1

Simplify \(3(5a^{2} + 2c) - 2a(1 - 3a) - 6c\).

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