Visualising and representing

Infographics are a powerful way of communicating statistical information. Can you come up with your own?

Take a triangular number, multiply it by 8 and add 1. What is special about your answer? Can you prove it?

Find the sum of this series of surds.

10 graphs of experimental data are given. Can you use a spreadsheet to find algebraic graphs which match them closely, and thus discover the formulae most likely to govern the underlying processes?

Can you work out which processes are represented by the graphs?

Can you make sense of the three methods to work out what fraction of the total area is shaded?

This problem challenges you to find cubic equations which satisfy different conditions.

Show that if you add 1 to the product of four consecutive numbers the answer is ALWAYS a perfect square.

This is a beautiful result involving a parabola and parallels.

There are many different methods to solve this geometrical problem - how many can you find?