The perimeter of a sector of a circle 4cm is $(\pi +8)cm$ . Calculate the angle of the sector

Which of the following can be constructed using a ruler and a pair of compass only

Simplify $\frac{\log \sqrt{27}}{\log \sqrt{81}}$

Form the equation whose roots are \[x=\tfrac{1}{2}\text{ and }-\tfrac{2}{3}\]

Esther was facing S 20^oW. She turned 90^o in the clockwise direction. What direction is she facing ?

A regular polygon of n sides has each exterior angle equal to 45^o_. Find the value of n.

Find the sizes of the angle marked x in the diagram

A cylindrical container has a radius of 14cm and height 18cm.How many litres, correct to the nearest litres, of liquid can it hold? [Take $\pi =\tfrac{22}{7}$]