### Mathematics Past Questions

3711

From a point P, R is 5km due West and 12km due South. Find the distance between P and R'.

• A. 5km
• B. 12km
• C. 13km
• D. 17km
3712

if y = 23$$_{five}$$ + 101$$_{three}$$ find y leaving your answer in base two

• A. 1110
• B. 10111
• C. 11101
• D. 111100
3713

A box contains two red balls and four blue balls. A ball is drawn at random from the box and then replaced before a second ball is drawn. Find the probability of drawing two red balls.

• A. $$\frac{2}{3}$$
• B. $$\frac{1}{3}$$
• C. $$\frac{1}{4}$$
• D. $$\frac{1}{9}$$
3714

Which one of the following gives the members of the set A1 n B n C?

• A. Φ
• B. {s}
• C. {t, u}
• D. {y, z}
3715

If P = [$$\frac{Q(R - T)}{15}$$] $$\frac{1}{3}$$ make T the subject of the relation

• A. T = $$\frac{R + P^3}{15Q}$$
• B. T = $$\frac{R - 15P^3}{Q}$$
• C. T = $$\frac{R - 15P^3}{Q}$$
• D. T = $$\frac{15R - Q}{P^3}$$