Find out how many pieces of hardboard of differing sizes can fit through a rectangular window.

Find the length along the shortest path passing through certain points on the cube.

The diagram shows two semicircular arcs... What is the diameter of the shaded region?

Calculate the ratio of areas of these squares which are inscribed inside a semi-circle and a circle.

The diagram shows two circles and four equal semi-circular arcs. The area of the inner shaded circle is 1. What is the area of the outer circle?

This quadrilateral has an unusual shape. Are you able to find its area?

Try to calculate the length of this diagonal line. Are you able to find more than one method?

Three circles of different radii each touch the other two. What can you deduce about the arc length between these points?

What does Pythagoras' Theorem tell you about the radius of these circles?

What is the perimeter of this unusually shaped polygon...