The table below shows how income tax was charged on income earned in a certain year.

Mr. Gideon is an employee of a certain  company and earns a salary of  ksh.15,200 per month. He is housed by the company and pays a nominal rent of Ksh. 1050 per month. He is married and is entitled to a family relief of ksh. 450 per month.

(a) Calculate his taxable income in K£ p.a                         (2mks)

(b) Calculate his gross tax per month.                          (4mks)

(c) Calculate his net tax per month                              (2mks)

(d) Calculate his net salary  per month                             (2mks)

       Evaluate             

                                                     (4mks)               

Use logarithm tables to evaluate.                                       (3 marks)

Coast bus left Nairobi at 8.00am and travelled towards Mombasa at an average speed of 80Km/hr. At 8.30am, Lamu bus left Mombasa towards Nairobi at an average speed of  120 km per hour. Given that the distance between Nairobi and Mombasa is 400Km.: determine:

(a) The time Lamu bus arrived in Nairobi.                     (2mks)

(b) The time the two buses met.                           (4mks)

(c) The distance from Nairobi to the point where the two buses met.             (2mks)

(d) How far coast bus is from Mombasa when Lamu bus arrives in Nairobi           (3mks)

State the reason why a student climbing a hill tends to bend forward.                                                                                                                                                (1 mark)

In an experiment to, a drop of black ink is introduced at the bottom of a container filled with water. It is observed that the water gradually turns black. State the effect on the observation when the experiment is carried out using water at a lower temperature.                                                                                                                             (1 mark)

State two factors that affect angular velocity of a body moving in a circular path.                                                                                           (2marks)

A line passing through points P (4, a) and Q (3, 2) is perpendicular to the line 3y + x + 3 = 0. Find the value of a and write down equation of line PQ. (4 marks)

In a physics experiment, a student filled a burette with water up to a level of 15ml. The student ran out 3 drops of water each of volume 2cm³

Three islands P,Q,R and S are on an ocean such that island Q is 400Km on a bearing of 030⁰  from island P. island R is 520Km and a bearing of 120⁰  from island Q. A port S is sighted 750Km due South of island Q.

(a) Taking a scale of 1cm to represent 100Km, give a scale drawing showing the relative positions of P,Q,R and S.     (4mks) 

(b) Use the scale drawing to:

Find the bearing of:

i. Island R from island  P             (1mk)   

ii. Port S from island R                                          (1mk)

(c) Find the distance between island P and R                              (2mks)