Without using calculator or mathematical tables, simplify               (4mks)

The volumes of two similar cylindrical containers are 27cm³ and 125 cm³ respectively. Given that the height of the smaller container is 12cm, find the height of the larger container.     (3marks)

Complete the figure below by adding the correct missing features if it has a rotational symmetry of order 4 about O.                        (3mks)

Find the equation of a perpendicular bisector of line PQ if the coordinates of P and Q are       (-2,6) and (4,-2) respectively, in the form  y = mx + c           (3mks)

Solve for x in                                 (4mks)

Mrs Wekesa paid shs 12500 for a wrist watch after the shopkeeper gave her a discount of 2%. If the shopkeeper made a profit of 20%.calculate the price the shopkeeper bought from the manufacturer.                      (3marks)

The figure below shows a simple tent.AF=FB=10cm, AB=12cm and BC=FE=AD=20cm. On the tent, a tight rope is tied as shown on the diagram from BD, DE and EA.  Draw the net of the tent and show the path of the rope on the net using the scale 1cm  rep.  5cm    (3marks)

The currency exchange rates of a given bank in Kenya are as follows;

 A tourist arrived in Kenya with 5,000 US dollars which he converted to Kenya shillings upon arrival. He spent ksh.214, 500 and converted the remaining to sterling pounds. How many pounds did he receive?                                                                                                   (3marks)

A square based brass plate is 2mm high and has a mass of 1.05kg.  The density of the brass is 8.4g/cm³.  Calculate the length of the plate in centimeters.                (3 marks)

Simplify the expression                                 (3marks)