BECE past question

Mathematics 2022

Mathematics Paper 1

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1. [1]

BECE 2022 · Paper 1

Express 108 as a product of prime factors.
2. [1]

BECE 2022 · Paper 1

A football match starts at 2.20 p.m. and lasts for 1 hour 50 minutes. At what time will the game end?
3. [1]

BECE 2022 · Paper 1

Which of the following is not a quadrilateral?
4. [1]

BECE 2022 · Paper 1

Solve: \(5x - (7x - 3) \le 9\).
5. [1]

BECE 2022 · Paper 1

Simplify 1\frac{1}{5} \div 2\frac{1}{10}.
6. [1]

BECE 2022 · Paper 1

Given that \(\overrightarrow{PQ}=\begin{pmatrix}-3\\8\end{pmatrix}\) find, \(\overrightarrow{QP}\).
7. [1]

BECE 2022 · Paper 1

The point S(4, 3) is reflected in the y-axis, Find the coordinates of the image of S.
8. [1]

BECE 2022 · Paper 1

Solve: \((x-1)=\dfrac{1}{2}(x+2)\).
9. [1]

BECE 2022 · Paper 1

The longest chord of a circle is the
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BECE 2022 · Paper 1

Factorize completely xy - xm - my + m^2.
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BECE 2022 · Paper 1

Given that P(3,-2) and Q(-2,4) are points in a plane, find the gradient of the line joining P to Q.
12. [1]

BECE 2022 · Paper 1

If \(\dfrac{n}{100}=10.5\), find the value of n.
13. [1]

BECE 2022 · Paper 1

The rule of mapping is x → 2x^2 - 1. What number does x = 2 map to?
14. [1]

BECE 2022 · Paper 1

If \(x=\dfrac{b^2-4ac}{2a}\), find x when a = 2, b = -4 and c = -2.
15. [1]

BECE 2022 · Paper 1

Arrange the following fractions from the lowest to the highest: \(\dfrac{3}{5},\ \dfrac{1}{4},\ \dfrac{2}{3}\).
16. [1]

BECE 2022 · Paper 1

A shop is rented at GH₵ 9.00 per month. How much money is paid in 1½ years?
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BECE 2022 · Paper 1

A certain number is subtracted from 12 and the result is multiplied by 3. If the answer is 21, find the number.
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BECE 2022 · Paper 1

**Diagram will be provided** In the diagram, AB is parallel to DE, angle ABC = 81° and angle DCE = 20°. What is the value of x?
19. [1]

BECE 2022 · Paper 1

**Diagram will be provided** In the diagram, AB is parallel to DE, angle ABC = 81° and angle DCE = 20°. Find the value of y.
20. [1]

BECE 2022 · Paper 1

Adjoa travelled 12km due north and 5km due east. How much far was she from her starting point?
21. [1]

BECE 2022 · Paper 1

Which of the following is the largest set?
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BECE 2022 · Paper 1

Write 1930.54 in standard form.
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BECE 2022 · Paper 1

Expand: \((2a-b)(a-b)\)
24. [1]

BECE 2022 · Paper 1

How many bags of cocoa were weighed in the week (using the given stem-and-leaf plot)?
25. [1]

BECE 2022 · Paper 1

What is the median weight of the bags of cocoa (using the given stem-and-leaf plot)?
26. [1]

BECE 2022 · Paper 1

What is the modal weight of the bags of cocoa (using the given stem-and-leaf plot)?
27. [1]

BECE 2022 · Paper 1

If \(a=\begin{pmatrix}2\\-3\end{pmatrix}\) and \(b=\begin{pmatrix}-2\\3\end{pmatrix}\), find \(a+b\)
28. [1]

BECE 2022 · Paper 1

For what value of x is 3^x = 81?
29. [1]

BECE 2022 · Paper 1

Simplify: -15 - (-20) + (-10).
30. [1]

BECE 2022 · Paper 1

Express 3/8 as a decimal fraction.
31. [1]

BECE 2022 · Paper 1

What is the length of the side of a square of area 225 cm^2?
32. [1]

BECE 2022 · Paper 1

What is the probability that a number greater than 5 shows up when a die is thrown?
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BECE 2022 · Paper 1

Given that 117(12+18) = 117(15+k), find the value of k
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BECE 2022 · Paper 1

A mother has GH₵ 5.00 and gives each of her 3 children GH₵ 1.50 as pocket money. How much is left for her?
35. [1]

BECE 2022 · Paper 1

A car travels 36 kilometres in an hour. Find its speed in metres per second.
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BECE 2022 · Paper 1

Peter had GH₵ 200.00 and spent GH₵ 83.00. What percentage of the money is left?
37. [1]

BECE 2022 · Paper 1

If a trader made a profit of 10% in selling a shirt for GH₵ 44.00, find the cost price
38. [1]

BECE 2022 · Paper 1

Express 15 : 12 in the form 1 : n.
39. [1]

BECE 2022 · Paper 1

The ratio of farmers to children in a village is 13 : 11. If there were 312 farmers in the village, how many children were there?
40. [1]

BECE 2022 · Paper 1

The volume of a cylinder is 40Π cm^3. If the height of the cylinder is 10 cm, find the base radius

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