In the diagram above, /PQ/ = /PS/ and /QR/ = /SR/. Which of the following is/are true? i. the line PR bisects ∠QRS ii. The line PR is the perpendicular bisector of the line segment QS iii. Every point on PR is equidistant from SP and QP

A. I only

B. III only

C. I and II only

D. I and III only

E. I, II and III

In the diagram, ∠PMN = ∠PRQ and ∠PNM = ∠PQR. If /Pm/ = 3cm, /MQ/ = 7cm and /PN/ = 5cm, find /NR/

A. 1cm

B. 3cm

C. 3¹/₂

D. 5cm

E. 6cm

In the diagram above, PQ is a tangent to the circle MTN at T. What is the size of ∠MTN?

A. 52^o

B. 54^o

C. 66^o

D. 72^o

E. 128^o

In the diagram above, KLMN is a cyclic quadrilateral. /KL/ = /KN/, ∠NKM = 55^o and ∠KML = 40^o. Find ∠LKM

A. 35^o

B. 40^o

C. 45^o

D. 50^o

E. 55^o

In the diagram above, ∠SPQ = 79^o. Find ∠SRQ

A. 11^o

B. 39¹/₂

C. 79^o

D. 90^o

E. 101^o

Two angles (a + 31) and (b - 49^o) are adjacent angles on a straight line. Which of the following is true

A. a + b = 198^o

B. a + b = 180^o

C. a + b = 162^o

D. a + b = 100^o

E. a + b = 80^o

The trapezium PQRS parallel to SR,∠PQS = 34^o and ∠SPQ = 2 ∠SRQ. Find the size of, SQR

A. 58^o

B. 68^o

C. 78^o

D. 90^o

E. 112^o

In the diagram above, AB, CD and XY are straight lines intersecting at W. Find ∠CWX

A. 20^o

B. 80^o

C. 100^o

D. 120^o

E. 140^o

If sin\(\theta\) cos\(\theta\), for 0^o \(\leq\) θ \(\leq\) 360^o, find the value of \(\theta\)

A. 45^o, 225^o

B. 135^o, 315^o

C. 45^o, 315^o

D. 135^o, 225^o

E. 45^o, 135^o

If tan x = \(2\frac{2}{5}\), find the value of sin x; 0 \(\leq\) x \(\leq\) 90^o

A. 5/13

B. 5/12

C. 144/169

D. 12/13

E. 13/12