**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 ${}^{o}$**B.**60 ${}^{o}$**C.**45 ${}^{o}$**D.**30 ${}^{o}$

**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 $\cap $ 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)