A famer has a piece of land measuring 840m by 396m. He divides it into square plots of equal sizes. Find the maximum area of one plot.        (4mks)

Evaluate                    (3mks)

-19 + (6-8) ÷ 2 x 5
     16 ÷ 4 x -3

A map is drawn to scale of 1:50,000. Find the area in cm² on the map of a field with an actual area of 60,000m². (3mks)

Using a ruler, a pair of compasses only and (proportional) a set square, construct on the upper side division of line BC is 6cm, a line BD such that DBC = 37.5⁰. Use the line BD to divide BC into 4 equal portions. (3marks)

Two men each working for 8 hours a day can cultivate an acre of land in 4 days. How long would 6 men, each working 4 hours a day take to cultivate 4 acres? (3marks).

Use reciprocal tables to find the value of (0.325)^-1 hence evaluate and give your answer to 4 s.f. (3marks)

The diagram below represents a prism whose cross section is a right angled triangle. Draw a labeled sketch of the net of the prism. (3mks)

Four schools: Lihanda, Kagito, Bar-Sari and Ndori are such that Lihanda is 6km from Kagilo on a bearing of 158°, Bar-Sauri is to the west of Kagilo and 20km away while Ndori is to the South of Bar-sauri on a bearing of 240° from Lihanda.

(a) Using a scale of 1:400,000 draw a scale diagram showing the relative positions of the four schools    (5mks)

(b) Using your diagram determine the distance and bearing of Ndori from Kagilo. (2 mks)

(c)  A mast is to be erected so that it is equidistant from Kagilo and Bar-sauri and 20km from Ndori. On the same diagram show the position of the mast and find its distance from Lihanda. (3mks)

A commemorative stone is sculptured in a shape of a frustum of a cone with the diameters of the top and bottom faces being 28cm and 49cm respectively. If the vertical distance between the faces is 45cm, find:

   (a) Find the cones vertical height. (2mks)

   (b) Find the volume of the stone. (3 mks)

   (c) Surface area of the stone. (5 mks)

The graph in figure below represents the journey made by a matatu between two bus stops.

a.     What is the acceleration of the matatu? (2 marks)

b.     Calculate the deceleration of the matatu? (2 marks)

c.      What distance does the matatu cover while accelerating? (2 marks)

d.     Calculate the distance covered by matatu while decelerating (2marks) 

e.     Calculate the distance between the two bus stops. (2 marks)