​A car starts from rest and builds up a speed of 40m/s in 1 min 40 seconds.  It then travels at this 
speed for 5 minutes.  Brakes are then applied and the car is brought to a halt in 2 minutes.
(a) Draw a velocity-time graph to represent the information above. (3mks)
(b) Use your graph to find
(i) the initial acceleration. (2mks)
(ii) the deceleration when the car is brought to a halt. (2mks)
(iii) the distance traveled in km. (3mks)

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​Bag X contains 2 green marbles and 8 yellow marbles.  Bag Y contains 4 green marbles and 5 
yellow marbles.  A bag is selected at random and two marbles drawn one at a time without 
replacement.

(a) Represent this information on a tree diagram (4 marks)
(b) Find the probability that:
(i) they are both green. (2mks)
(ii) they are both yellow and from bag X. (2mks)
(iii) the second ball is yellow. (2mks)

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​In the figure below DA is a diameter of the circle ABCDE centre O. AB = BC and angle DAC = 36°

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​The figure below is a right pyramid of rectangular base of length 12cm and width 9cm.  
The slanting edge has a length of 19.5cm.

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​Four towns PQR and S are located such that town Q is 70km on a bearing of 050° from P. 
Town R is 50km on a bearing of 145° from Q and town S is 55km on a bearing of S35°W of R.
(a)By scale drawing, show the relative position of the four towns.
(Use a scale of 1cm to represent 10km).     (3mks)
(b) Use your diagram to determine
    (i)        the distance and bearing of P from S.  (3mks)
    (ii)       how far R is from P.   (2mks)
 (c)       Determine by the diagram or otherwise how far north town P is from town S.   (2mks)

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​Three litres of water (density 1g/cm³) is added to twelve litres of alcohol (density 0.8/cm³).
What is the density of the mixture?                                                                                       (3mks)

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​The volume of two similar cans is 96cm³ and 1.5 litres.  If the total surface area of the smaller can
is 144cm², determine the surface area of the larger can.                                                       (3mks)

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​The net of a solid is as shown below

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Calculate the surface area of the solid regular hexagonal prism shown below, giving your
answer to 3sf.     (4mks)

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​Find the equation of the normal to a curve, whose equation is,

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​Find the centre and the radius of a circle whose equation is.

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​Use tables of reciprocals and square roots only to evaluate;

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​Solve the inequality and represent the solution on a number line

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​The table below shows the number of faulty balls from 40 samples

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