The parable of the Lost Sheep illustrates the

• A. way to salvation
• B. joy in heaven over a sinner that repents
• C. need for the kingdom of God before wordly gains
• D. importance of prayers

You look pale, you had better …………….. a doctor

• (a) consult with
• (b) consult to
• (c) consult
• (d) consult by

Find the 9th term of the arithmetic progression 18, 12, 6, 0, -6 .........

• A. -54
• B. -30
• C. 30
• D. 42

Read the extract below and answer the question

I am sorry thou wilt leave my father so

Our house is hell, and thou a merry devil

Didst rob it of some taste of tediousness

But fare thee well: there is a ducat for thee

(Act 11, sc lll)

The speaker is

• A. Jessica
• B. Servingman
• C. Nerissa
• D. Portia

(a) Using a scale of 2 cm to 30° on the x- axis, 2 cm to 0.2 units on the y- axis, on the same graph sheet, draw the graphs of \(y = \sin 2x\) and \(y = \cos x\) for \(0° \leq x \leq 210°\) at intervals of 30°.

(b) Using the graphs in (a), find the truth set of :

(i) \(\sin 2x = 0\) ; (ii) \(\sin 2x - \cos x = 0\).

A coin is pushed from the edge of a laboratory bench with a horizontal velocity of 15.0 ms^-1. If the height of the bench from the floor is 1.5m, calculate the distance from the foot of the bench to the point of impact with the floor [g = 10ms^-2]

• A. 0.75m
• B. 2.25m
• C. 8.22m
• D. 15.00m

From the list of words leftered A to D, choose the one tnat is most nearly opposite in meaning to the underlined word and that will, at the same time, correctly fill the gap in the sentence.

The arrival of the riot police at our campus_______the tension rather thanmitigate it.

• A. lengthened
• B. heightened
• C. prolonged
• D. created

The _____ attracted many people from different walks of life

• A. occassion
• B. occasion
• C. ocasion
• D. occasion

(a) Define Young modulus of elasticity;

(b) A spiral spring extends from a length of 10.0 cm to 10.01 cm when a force of 20 N is applied on it. Calculate the force constant of the spring.

The remainder when 6p³ - p² - 47p + 30 is divided by p - 3 is

• A. 21
• B. 42
• C. 63
• D. 18