Ghana BECE 2007 MATHEMATICS PAST QUESTIONS AND ANSWERS

1) List the members of the set p={factors of 30 which are odd}

2) M = {g, o, q, s} and W = {h, p, r, t}. Find MUW.

3) Name the geometrical figure shown in the diagram below.

4) Express ⁵∕₁₆ as a decimal fraction.

5) If y = -½x + 6, find y when x = 4.

6) The marks obtained by 13 candidates in a test are 5, 7, 2, 9, 11, 10, 2, 12, 2, 9, 3, 18 and 2.

What is the mode?

7) The marks obtained by 13 candidates in a test are 5, 7, 2, 9, 11, 10, 2, 12, 2, 9, 3, 18 and 2

Find the median.

8)

Find the value of the angle marked X°

9)

How many more students are in yellow House than in Blue House?

10) Express 242 as a product of prime factors.

11) Change 1100111two to number in base ten.

13) Arrange the following fractions from the highest to the lowest: ⅚, ⅘, and ⁴∕₇.

14) Solve the inequality 3x + 6 ≤ 5x – 2.

15) If 8x – 3(2x – 4) = 4, find the value of x.

16) Find the size of angle y

17) Angles NTZ and QZT are

18) Factorize ¼px² + ⅛px.

19) Jojo and Fiifi shared an amount of money in the ratio 3 : 4 respectively. If Fiifi had ¢140,000 how much was shared?

20) Simplify 6(7a + 4) – 3(8a + 9).

21) A man invested ¢500,000.00 at 15% simple interest per annum for 2 years. Calculate the amount at the end of the period.

22) Make m the subject of p =3m+1/m

23) Simplify 200 x 0.01 x 372 leaving your answer in standard form.

24) What percentage of 5 is 0.25?

25) Calculate the area of the figure ABCD above.

26) In which of the following constructions is P equidistant from the points A and B?

27) If a : 27 = 6 : 18, find a.

28) The diagram below shows a circle centre O. If A and B are points on the circle, what name is given to the shaded region?

29) An amount of ¢5,400.00 is shared among three sisters in the ratio of their ages. Their ages are 10 years, 6 years and 2 years. Find the share of the youngest sister.

30) Find the Least Common Multiple (L.C.M.) of 4, 5 and 6.

31) Expand (a + 2b)(a – 2b)

32) If a woman was paid ¢180,000.00 for working for 4½ days, how much would she be paid for one day?

33) Express 0.68 as a fraction in its lowest term.

Write down all the integers within the interval 21 < y ≤ 27.

35) Simplify(2⁶ x 3) ÷ (2⁴ x 3²).

36)

Which of the following is represented by vector AB in the diagram above?

37) Solve for y, if 3 + 3y = 1 – 13y

38) Convert 37ten to a base two numeral.

39) The length of a rectangular playing field is 5 metres longer than its width. If the perimeter of the field is 150 metres, find its width.

40) If the vector m = (3 2) and n = (-1 3), find m – 2n.