A water reservoir in the form of a cone mounted on a hemisphere is built such that the plane face of the hemisphere fits exactly to the base of the cone and the height of the cone is 6 times thr radius of its base.

(a) Illustrate this information in a diagram.

(b) If the volume of the reservoir is \(333\frac{1}{3}\pi m^{3}\), calculate, correct to the nearest whole number, the :

(I) volume of the hemisphere ; (II) Total surface area of the reservoir. [Take \(\pi = \frac{22}{7}\)].

A bill because an ACT of Parliament after it has been

• A. passed by the parliament
• B. signed by the head of state
• C. processed through the committee of the house
• D. debated in the house

Jesus raised to life the son of the widow of Nain because He

• A. wanted the whole of Judea to know about Him
• B. wanted to show that He was a great prophet
• C. had compassion on the mother
• D. loved the young man that died

The document setting out the regulations regarding shares, meetings and internal organization of a company is known as

• A. prospectus
• B. memorandum of association
• C. company law
• D. articles of association

(a)(i) What is a joint?

(ii) List three types of movable joints and mention one location in the mammalian body of each type.

(b)(i) Make a labelled diagram, 8-10cm long, of a typical movable joint.

(iii) Explain how the structure of the joint adapts it to its function.

A stone of mass 0.5kg is dropped from a height of 12m. Calculate its maximum kinetic energy. [g = 10ms^-1]

• A. 3.0J
• B. 6.0J
• C. 30.0j
• D. 60.0J

This question is based on General Literary Appreciation.

What eyes will watch our large mouths

Shaped by the laughter of big children

What eyes will watch our large mouths?

Birage Diop:Vanity

The tone of the lines above is one of

• A. sarcasm
• B. sacrilege
• C. chiasmus
• D. eulogy

From the words lettered A to D, choose the word that has the same consonant sounds as the one represented by the letters underlined.Straight

• A. struggle
• B. waste
• C. waist
• D. stare

One of the following is not part of the names of the Quran.

• A. Al Bayyinah
• B. An Nur
• C. Al Huda
• D. Ar Rahman

(a) Define uniform acceleration.

(b) Forces act on a car in motion. List the

(i) horizontal forces and their directions;

(ii) vertical forces and their directions

(c) A car starts from rest and accelerate uniformly for 20s to attain a speed of 25 ms\(^{-1}\). It maintains this speed for 30s before decelerating uniformly to rest. The total time for the journey is 60s.

(i) Sketch a velocity-tune graph for the motion.

(ii) Use the graph to determine the (\(\alpha\)) total distance travelled by the car (\(\beta\)) deceleration of the car.

The figure here illustrates force-extension graph for a stretched spiral spring. Determine the work done on the spring.