Ghana BECE 2013 MATHEMATICS PAST QUESTIONS AND ANSWERS

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

2) Express 1.25 as a percentage.

3) Arrange the follow in ascending order of magnitude: 0.301, 0.3, 0.33, 0.03.

4) Evaluate 53 – (-7) + (-15).

5) Given that A = {a, e, i, o, u} and B = {r, s, t}, how many elements are in A∩B?

6) Convert 2114five to a base ten numeral.

7) Simplify 2²x3/4²x3³

8) A car uses 150 litres of petrol in 45 minutes. How many litres of petrol will it use in 1 hour?

9) Simplify 36a³b²x/27ab³y

10) Find the rule of the mapping:

11) Given that -1 = 2 – m, find m.

12) The perimeter of a rectangle is 48 cm. If the length is 14 cm, find its width.

13) Make d the subject of the relation n = 2d + 3.

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

15)

Find the angle marked a.

16)

Find the angle marked b.

17) Find the vector which translates the point (4, -5) to (3, -2).

18) Factorize completely the expression 2xy – 6y + 7x – 21.

19) The area of a circle is 154 cm². Find the diameter. [Take π = ²²∕₇]

21) 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.

22) Evaluate 20/a – b, if a = 30 and b = 1.

23) How many 15 Gp Christmas cards can be bought with GH¢18.00?

24) If u = (6 9) and v = (4 -5), find u + v.

25) If 4956 x 25 = 123,900, evaluate 495.6 x 2.5 leaving the answer in standard form.

26)

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

27) If 180 oranges were shared among Kwame and Ama in the ratio 7 : 5, respectively, how many oranges did Ama receive?

28) Calculate the simple interest on GH¢450.00 for 2 years at 12% per annum.

29) If 15% of tIf 15% of the length of a rope is 75cm, find half of the length of the rope.he length of a rope is 75cm, find half of the length of the rope.

30) 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?

31)

Which of the following best describes the construction?

32) Express 0.055 as a common fraction.

33)

Which trade employed the most number of workers?

34)

How many people are employed under all the trade?

35)

How many people are employed under all the trade?

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.

37)

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

40) Two sets whose intersection is an empty set are