(a) Draw an outline map of Africa. On the map, show and name:

(i) Any three rivers important for generating electricity; (ii) Any two dams on two of the rivers.

(b) Outline any five benefits of hydroelectric power to the people of Africa.

Carbon is deposited in the exhaust pipes of cars because of

• A. presence of additives in petrol
• B. incomplete combustion of petrol
• C. presence of carbon in petrol
• D. contamination of petrol with diesel

This question is based on General Literature Principles and Literary Appreciation. The basic idea of any given work of art is its

• A. imagery
• B. style
• C. theme
• D. tone

This question is based on Literary Appreciation

'I am alone

And the murmur of my lips

Carry song and tears homewards

From a plain away from home

Okogbule Wonodi: Lament for Shola

The poet-persona here expresses a feeling of

• A. elation
• B. anger
• C. nostaglgia
• D. sorrow

A free and fair election requires all the following except

• A. political parties
• B. a long campaign period
• C. gerrymandered constituencies
• D. registration of all qualified voters

The solubility of a salt of molar mass 101g at 20oC is 0.34 mol dm_-3. If 3.40g of the salt is dissolved completely in 250cm₃ of water in a beaker, the resulting solution is

• A. A suspension
• B. Saturated
• C. Unsaturated
• D. Supersaturated

The damage to the stem of maize plants resulting in hollowness and lodging is most likely caused by

• A. rodents
• B. grasscutters
• C. stem borers
• D. weevils

Deborah, wife of Lappidoth,administered justice to the people of Israel at

• A. Kadesh and Naphtali
• B. Ramah and Bethel
• C. Ephraim and Kishon
• D. Dan and Beersheba

(a) A body of mass 15 kg is suspended at a point P by two light inextensible strings \(\overrightarrow{XP}\) and \(\overrightarrow{YP}\). The strings are inclined at 60° and 40° respectively to the downward vertical. Find, correct to two decimal places, the tensionsin the strings. [Take g = \(10 ms^{-2}\)].

(b) The height h metres, of a ball thrown into the air is \(2 + 20t + kt^{2}\), after t seconds. If it takes 2 seconds for the ball to reach its highest point, find

(i) the value of k (ii) its highest point from the point of throw.

Explanation

Using Lami's theorem, \(\frac{150}{\sin 80} = \frac{T_{1}}{\sin 40} = \frac{T_{2}}{\sin 60}\)

\(T_{1} = \frac{150 \sin 40}{\sin 80} = \frac{150 \times 0.6428}{0.9848} = 97.41 N\)

\(T_{2} = \frac{150 \sin 60}{\sin 80} = \frac{150 \times 0.8660}{0.9848} = 131. 90 N\)

(b) \(h = 2 + 20t + kt^{2}\)

\(\frac{\mathrm d h}{\mathrm d t} = v = 20 + 2kt\)

At the highest point, \(v = 0 ms^{-1}; t = 2 secs\)

\(\implies 20 + 2k(2) = 0\)

\(20 = -4k \implies k = -5\)

(ii) Its highest point

\(h = 2 + 20t - 5t^{2}\)

At highest point, t = 2 secs

\(h(2) = 2 + 20(2) - 5(2^{2}) = 2 + 40 - 20 = 22 m\)

An electoral college is a

• A. form of indirect election
• B. school for electoral officers
• C. college which trains party leaders
• D. policy to dissolve constituencies