Ghana BECE 2005 MATHEMATICS PAST QUESTIONS AND ANSWERS

1)

In the diagram above, A and B are two intersecting sets. How many members are in the set B?

2) Which of the following is not a factor of 18?

3) Multiply 0.014 by 0.2

4) Given that A = {b, c, i} and B = {a, e, f, i}, find A∩B.

5) If a = 64 and b = 2², find a/b

6) Arrange the following numbers from the highest to the lowest: ⅔, -7, 0.

7) Simplify 2² x 3² x 2³ x 3⁴

8) In an examination 40% of the students failed. The number of students that passed was 180. How many students failed?

9) Evaluate ⅓{(5 – 1) – (2 – 7)}.

10) If 6n + 4 = 16, find the value of n.

11) What is the next term in the following set, of numbers: {1, 3, 7, 15, 31,…….}?

12) Find the mean of the following set of numbers 10, 12, 14 and 16.

13) Simplify 3a² x 2ab x 4bc.

14) Expand 3(2a + 3b).

15) Find the area of a circle whose diameter is 28 cm. (Take π = ²²∕₇)

16) In sharing 95 oranges with Dede, Fofo kept 45 of them and shared the rest equally with Dede. How many oranges did Dede get?

17) If c = b² + 4r/2ar, find c when b = 3, r = 4 and a = 5

18) A woman bought a sewing machine for ¢800,000.00 and sold it for ¢920,000.00. Find the percentage profit.

19) What is the rule for the following mapping?

20) Find the volume of a cuboid of sides 15 m by 12 m by 3 m.

21) A bag contains 4 blue and 8 red balls. What is the probability of picking a blue ball at random from the bag?

22)

Find the size of the angle marked y in the diagram.

23) An equilateral triangle has side 16 cm. A square has the same perimeter as the equilateral triangle. What is the area of the square?

24) Kofi deposited ¢500,000.00 with a bank for 2 years at a rate of 10% per annum. Find the simple interest.

25) Make T the subject of the relation l²= 4π²T/g

26) Evaluate 0.54 x 0.7/9

27) Eric and Ebo are to share an amount of ¢800,000.00 in the ratio 5 : 3 respectively. What will be Ebo’s share?

28) How many faces has a rectangular pyramid?

29) The perimeter of a rectangle is 24cm. If the breadth of the rectangle is 4cm, find the area of the rectangle.

30) Factorize 4ab²-20ba².

31) Solve the equation ⅔(x – 3) = ⅚(x + 6).

33) Find the median of the following marks: 2, 4, 10, 3, 6, 12

34) In a class of 20 pupils, 8 pupils read Mathematics, 13 read English and 3 read both Mathematics and English.

How many pupils read English only?

35) In a class of 20 pupils, 8 pupils read Mathematics, 13 read English and 3 read both Mathematics and English.

How many pupils do not read either Mathematics or English?

36) Calculate 82.5÷0.25, expressing the answer in the standard form.

37) The price of a gas cooker costing ¢450,000.00 was increased by 10%. Find its new price.

38) What is the number of all possible outcomes of tossing a die?

39) In the diagram, QRS is a triangle. Angle QRS = 50° and angle RST = 120°. Find angle RQS.

40) If r = (-2 3) and s = (-4 -1), find r + 2s.