problem

### Triathlon and Fitness

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

problem

### Vector walk

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

problem

### Why 24?

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.

problem

### Back fitter

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?

problem

### Fill Me Up Too

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?

problem

### Hexy-Metry

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