41. The diagram shows a trapezium inscribed in a semi-circle. If O is the mid-point of WZ and |WX| = |XY| = |YZ|, calculate the value of m
- A. 90
- B. 60
- C. 45
- D. 30
42.In the diagram, PQ//RS. Find x in terms of y and z
- A. x = 240\(^o\) – y – z
- B. x = 180\(^o\) – y – z
- C. x = 360\(^o\) + y -z
- D. x = 360\(^o\) – y – z
43. In the diagram, PQ is a straight line, (m + n) = 110\(^o\) and (n + r) = 130\(^o\) and (m + r) = 120\(^o\). Find the ratio of m : n : r
- A. 2 : 3 : 4
- B. 3 : 4 : 5
- C. 4 : 5 : 6
- D. 5 : 6 : 7
44.
Donations during the launching of a church project were sent in sealed envelopes. The table shows the distribution of the amount of money in the envelope. How much was the donation?
- A. N26,792.00
- B. N26,972.00
- C. N62.792.00
- D. N62,972.00
45. A piece of thread of length 21.4cm is used to form a sector of a circle of radius 4.2cm on a piece of cloth. Calculate, correct to the nearest degree, the angle of the sector.
[Take \(\pi = \frac{22}{7}\)]
- A. 170\(^o\)
- B. 192\(^o\)
- C. 177\(^o\)
- D. 182\(^o\)
46. If tan x = \(\frac{4}{3}\), 0\(^o\) < x < 90\(^o\), find the value of sin x – cos x
- A. 1\10
- B. 1\5
- C. 5\12
- D. 1 2/5
47. Given that Y is 20cm on a bearing of 300o from x, how far south of y is x?
- A. 10cm
- B. 15cm
- C. 25cm
- D. 30cm
48. The diagonals of a rhombus WXYZ intersect at M. If |MW| = 5cm and |MX| = 12cm, calculate its perimeter
- A. 42cm
- B. 48cm
- C. 52cm
- D. 60cm
49. M and N are two subsets of the universal set (U). If n(U) = 48, n(M) = 20, n(N) = 30 and n(MUN) = 40, find n(M N)
- A. 18
- B. 20
- C. 30
- D. 38
50. The graph of y = x² and y = x intersect at which of these points?
- A. (0,0), (1,1)
- B. (0,0), (0,1)
- C. (1, 0), (0, 0)
- D. (0, 0) (0, 0)
