BECE 2013 Mathematics Past Questions

1. If A = {5, 10, 15, 20, 25, 125} and B = {5, 10, 15, 20, 25, 625}, list the elements of A⋃B.
A. {5, 25}
B. {10, 20, 125, 625}
C. {5, 15, 25, 125, 625}
D. {5, 10, 15, 20, 25, 125, 625}

2. Express 1.25 as a percentage.
A. 25%
B. 75%
C. 125%
D. 175%

3. Arrange the following in ascending order of magnitude: 0.301, 0.3, 0.33, 0.03.
A. 0.03, 0.3, 0.301, 0.33
B. 0.03, 0.301, 0.3, 0.33
C. 0.33, 0.3, 0.301, 0.03
D. 0.33, 0.301, 0.3, 0.03

4. Evaluate 53 – (-7) + (-15).
A. 31
B. 45
C. 61
D. 75

5. Given that A = {a, e, i, o, u} and B = {r, s, t}, how many elements are in A∩B?
A. 0
B. 1
C. 2
D. 3

6. Convert 2114five to a base ten numeral.
A. 194
B. 280
C. 284
D. 300

7. Simplify 2²x3/4²x3³
A. ⅟₁₂
B. ⅙
C. ¼
D. ⅓

8. A car uses 150 litres of petrol in 45 minutes. How many litres of petrol will it use in 1 hour?
A. 375 litres
B. 230 litres
C. 225 litres
D. 200 litres

9. Simplify 36a³b²x/27ab³y
A. 4a²x/3by
B. 4abx/3y
C. 4a²bx/3y
D. 4a⁴b⁵x/3y

10. Find the rule of the mapping:
A. x + 2
B. x + 4
C. 2x + 3
D. 3x + 2

11. Given that -1 = 2 – m, find m.
A. -3
B. -1
C. 1
D. 3

12. The perimeter of a rectangle is 48 cm. If the length is 14 cm, find its width.
A. 24 cm
B. 20 cm
C. 10 cm
D. 3.4 cm

13. Make d the subject of the relation n = 2d + 3.
A. d=3n/n
B. d=n+3/2
C. d=n-3/2
D. d=3-n/2

14. Calculate the gradient of the straight line joining the points A(3, 5) and B(-2, 3).
A. ⁵∕₂
B. ⅖
C. -⅖
D. -⁵∕₂

15. Find the angle marked a.
A. 70°
B. 50°
C. 40°
D. 30°

16. Find the angle marked b.
A. 150°
B. 140°
C. 110°
D. 100°

17. If S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, find the probability that a number selected at random from S is odd.
A. ⅜
B. ¼
C. ½
D. ⁵∕₈

18. Find the vector which translates the point (4, -5) to (3, -2).
A. (-1 -3)
B. (-1 3)
C. (-1 7)
D. (7 3)

19. Factorize completely the expression 2xy – 6y + 7x – 21.
A. (x – 3)(2y + 7)
B. (x + 3)(2y – 7)
C. (y – 3)(2x + 7)
D. (y + 3)(2x – 7)

20. The area of a circle is 154 cm². Find the diameter. [Take π = ²²∕₇]
A. 7 cm
B. 14 cm
C. 21 cm
D. 49 cm

21. Mame Esi rides her bicycle to school and back everyday. If the distance from her home to the school is 2345 m, how many kilometres does she cover everyday?
A. 4.98 km
B. 4.69 km
C. 3.96 km
D. 3.68 km

22. The length of a rectangular fence is 25m. The ratio of the length to the width is 5 : 3. Find the width of the rectangular fence.
A. 9 m
B. 13 m
C. 15 m
D. 16 m

23. Evaluate 20/a – b, if a = 30 and b = 1.
A. -1⅔
B. -⅓
C. ⅓
D. 1⅔

24. How many 15 Gp Christmas cards can be bought with GH¢18.00?
A. 120
B. 150
C. 180
D. 270

25. If u = (6 9) and v = (4 -5), find u + v.
A. (-2 2)
B. (2 -4)
C. (10 -14)
D. (10 4)

26. If 4956 x 25 = 123,900, evaluate 495.6 x 2.5 leaving the answer in standard form.
A. 1.239 x 10²
B. 1.239 x 10³
C. 1.239 x 10⁴
D. 1.239 x 10⁵

27. Which of the following expressions is illustrated on the number line.

A. x ≤ -2
B. x < -2
C. x ≥ -2
D. x > -2

28. If 180 oranges were shared among Kwame and Ama in the ratio 7 : 5, respectively, how many oranges did Ama receive?
A. 45
B. 60
C. 75
D. 90

29. Calculate the simple interest on GH¢450.00 for 2 years at 12% per annum.
A. GH¢191.00
B. GH¢108.00
C. GH¢54.00
D. GH¢27.00

30. If 15% of the length of a rope is 75cm, find half of the length of the rope.
A. 500cm
B. 250cm
C. 150cm
D. 100cm

31. In an office, ⅔ of the telephone bill is paid by Tom, ⅕ by Azuma and the remaining by Tina. What fraction is paid by Tina?
A. ²∕₁₅
B. ¼
C. ⅓
D. ⁷∕₁₅

32. Which of the following best describes the construction?

A. Constructing a perpendicular at P
B. Constructing the bisector of line PQ
C. Constructing an angle of 30° at P
D. Constructing an angle of 45° at P

33. Express 0.055 as a common fraction.
A. ¹¹∕₄₀
B. ⁵∕₁₈
C. ⅟₄₀
D. ¹¹∕₂₀₀

34. The table below shows the distribution of workers in some trades.
Use this information to answer Questions 34 and 35.

Which trade employed the most number of workers?

A. Agriculture
B. Manufacturing goods
C. Shoe making
D. Road transport

35. How many people are employed under all the trades?
A. 325,000
B. 485,000
C. 650,000
D. 875,000

36. Aba bought a carton of fish at GH¢80.00 and sold it at a profit of GH¢13.60. Find the selling price.
A. GH¢66.40
B. GH¢93.60
C. GH¢103.60
D. GH¢144.00

37. If the two figures ABCD and PQRS are similar, find the value of b.

A. 60 cm
B. 40 cm
C. 33 cm
D. 30 cm

38. A man shared an amount of money between his two children, Esi and Ato in the ratio 2 : 3 respectively. If Ato received GH¢45.00, what was the total amount shared?
A. GH¢18.00
B. GH¢27.50
C. GH¢75.00
D. GH¢112.50

39. How many edges has a cuboid?
A. 16
B. 12
C. 8
D. 4

40. Two sets whose intersection is an empty set are
A. disjoint sets
B. equivalent sets
C. finite sets
D. empty sets