Have you got the Mach knack? Discover the mathematics behind exceeding the sound barrier.

From the information you are asked to work out where the picture was taken. Is there too much information? How accurate can your answer be?

A cheap and simple toy with lots of mathematics. Can you interpret the images that are produced? Can you predict the pattern that will be produced using different wheels?

This set of resources for teachers offers interactive environments to support work on loci at Key Stage 4.

Points off a rolling wheel make traces. What makes those traces have symmetry?

In the diagram the point P' can move to different places along the dotted line. Each position P' takes will fix a corresponding position for P. If P' moves along a straight line what does P do ?

In the diagram the point P can move to different places around the dotted circle. Each position P takes will fix a corresponding position for P'. As P moves around on that circle what will P' do?