1994 Essay (written) questions 1-3

Q 1.

(a) Multiply (a − b) by (2b − a)

(b) Find the truth set of 2x + 5 = 3x − 7

(c) Given that and , find

Q 2.

(a) A ladder leans against a wall. The end of the ladder touches the wall 12 m from the ground. The foot of the ladder is 9 m away from the foot of the wall.

(i) What is the length of the ladder.

(ii) Calculate the angle that the ladder makes with the ground

(b) Given that π = 3.14 and g = 20, find the value of F in the relation

Q 3.

Using a ruler and a pair of compasses only,

(a) Construct triangle PQR in which |PQ| = 8 cm, |QPR| = 45° and PQR = 90°. Measure |QR|

(b) Construct the mediator of PQ to meet PR at the point S. With S as centre and radius 3 cm, construct a circle.