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)

$\frac{233}{1234}\times \frac{233}{1234}$

Evaluate:               (3marks)
   (1 ³/₇ - ⁵/₈) × ²/₃  
¾ + 1⁵/₇ ÷ ⁴₇ of 2 ¹/₃