You may also like

problem icon

Dividing the Field

A farmer has a field which is the shape of a trapezium as illustrated below. To increase his profits he wishes to grow two different crops. To do this he would like to divide the field into two trapeziums each of equal area. How could he do this?

problem icon

Two Circles

Draw two circles, each of radius 1 unit, so that each circle goes through the centre of the other one. What is the area of the overlap?

problem icon

Star Gazing


Semicircular Design

Age 14 to 16 Short Challenge Level:

The diagram to the right shows a logo made from semi-circular arcs, each with a radius of $2$cm, $4$cm or $8$cm.

What fraction of the logo is shaded?

This problem is taken from the UKMT Mathematical Challenges.