A circle has radius x cm. What is the area of a sector of the circle with angle 135°, leaving the answer in terms of x and π?

A. \( \frac{\pi x^2}{8} \)

B. \( \frac{3\pi x^2}{8} \)

C. \( \frac{5\pi x^2}{8} \)

D. \( \frac{3\pi x}{8} \)

In the diagram, PQRS is a trapezium with PQ||SR. STR is a straight line, PSHQT, PTHQR. If |PQ| = 12cm and the height of the trapezium is 9cm, find its area.

A. 96cm²

B. 108cm²

C. 135cm²

D. 162cm²

E. 216cm²

Two solid spheres have volumes 250cm^o and 128cm^o respectively. Find the ratio of their radii.

A. 125:64

B. 25:16

C. 2:1

D. 4:3

E. 5:4

In the diagram ST and QR are parallel. |PS| = 6cm, |SQ| = 8cm and |PR] = 18 2/3. Find |PT|

A. 7cm

B. 8cm

C. 8 2/3cm

D. 10cm

E. 10 2/3cm

In the diagram, PQ||RS and angles are as shown. Find x

A. 145^o

B. 150^o

C. 155^o

D. 160^o

E. 165^o

IF the exterior angles of a quadilateral are y^o, (2y + 5)^o , (y + 15)^o and (3y - 10)^o, find y^o

A. 61.43

B. 60

C. 52.86

D. 51.43

E. 50

The sum of the angles of regular polygon is 2520^o. How many sides does the polygon have?

A. 20

B. 18

C. 17

D. 16

E. 15

Which of the following is not a property of all parallelogram?

A. the diagonal bisects each other

B. Each diagonal bisects the area

C. the diagonal cut at right angles

D. The opposite sides are equal

E. The opposite angles are equal

In the diagram above, PQ is the tangent to the circle RST at T.|ST| = ST and ∠RTQ = 68^o. Find ∠PTS

A. 68^o

B. 62^o

C. 61^o

D. 56^o

E. 34^o

The diagram above shows a circle PQRS in which ∠PRQ = 54^o and ∠SPQ = 97^o. Find ∠PQS

A. 61^o

B. 51^o

C. 43^o

D. 39^o

E. 29^o