The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories?

Starting with two basic vector steps, which destinations can you reach on a vector walk?

Take any prime number greater than 3 , square it and subtract one. Working on the building blocks will help you to explain what is special about your results.

Quadratic graphs are very familiar, but what patterns can you explore with cubics?

Can you find the area of a parallelogram defined by two vectors?

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?

In Fill Me Up we invited you to sketch graphs as vessels are filled with water. Can you work out the equations of the graphs?

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

A hexagon, with sides alternately a and b units in length, is inscribed in a circle. How big is the radius of the circle?