The volume (v) of an inflated balloon varies as the cube of the diameter (d). The volume is 14.23cm³ when its diameter is 3.5 cm. what is the volume of the balloon when its diameter is 4.5cm?            (3mks)

Solve the simultaneous equalities and state the integral values of :           (3mks)

Express the following in surd form and simplify by rationalizing the denominator.      (3mks)

Expand and hence simplify the expression          (3mks)

The cost price of 31 inch flat LG TV screen is Ksh 36,500. Mary bought a screen on hire purchase price by paying a deposit of Ksh 12,000 and 15 monthly installments of Ksh 2050 each. Calculate the monthly rate of interest she was charged. Give your answer to 2 decimal places.    (4mks)

Two similar containers have masses 768kg and 324kg respectively. If the surface of the smaller container has the surface area of 2,430cm² , what is the area of the corresponding surface of the larger container.        (3mks)

Solve for  x  and  y  in:                      (3mks)

Without using a calculator or mathematical tables, work out         (4mks)

Each interior angle of a regular polygon is 120⁰ larger than the exterior angle. How many sides has the polygon?   (3mks)

   (a) find the inverse of the matrix                                  (1mk)

   (b) Hence solve the simultaneous equation using the matrix method                      (2mks)