From the words lettered A to D below each of the following sentences, choose the word that is nearest in meaning to the underlined word.

The Manager soon found out that my sister was acompetent typist

• A. patient
• B. capable
• C. hardworking
• D. careless

Two forces 3N and 4N act on a body in directions due north and due east respectively. Calculate their equilibrant

• A. 5N 53° east of North
• B. 5N 53° west of the south
• C. 5N 37° north of east
• D. 7N 37° west of North

Using ruler and a pair of compasses only,

(a) construct, (i) triangle XYZ with |XY| = 8cm, < YXZ = 60° and < XYZ = 30° ; (ii) the perpendicular ZT to meet XY in T ; (iii) the locus \(l_{1}\) of points equidistant from ZY and XY.

(b) If \(l_{1}\) and ZT intersect at S, measure |ST|.

By the year 1110 C.E., Andalusia had fallen under the control of

• A. Mujahidun
• B. Ansar
• C. Muhajirun
• D. Al Murabitun.

The probabilities that a husband and wife will be alive in 15 years time are m and n respectively. Find the probability that only one of them will be alive at that time.

• A. mn
• B. m + n
• C. m + n - 2mn
• D. 1 - mn

What is Arabic figure of Roman figure VC?

• (a) 99
• (b) 95
• (c) 105
• (d) 110

When the r.m.s value of a source of electricity supply is given as 240v, it means that the peak value of the supply is

• A. 240v
• B. 340v
• C. 480v
• D. 57600v

Choose the correct spelling

• (a)deceive
• (b)decieve
• (c)decievve
• (d)deccieve

In a road worthiness test on 240 cars, 60% passed. The number that failed had faults in Clutch, Brakes and Steering as follows: Clutch only - 28, Clutch and Steering - 14; Clutch, Steering and Brakes - 8; Clutch and Brakes - 20; Brakes and Steering only - 6. The number of cars with faults in Steering only is twice the number of cars with faults in Brakes only.

(a) Draw a Venn Diagram to illustrate this information.

(b) How many cars had : (i) Faulty Brakes? (ii) Only one fault?

A direct natural consequence of drought is

• A. famine and starvation
• B. high mortality rate in livestock
• C. drying up of most water sources
• D. change in the chemical property of soils