![Triathlon and Fitness](/sites/default/files/styles/medium/public/thumbnails/content-id-7586-icon.png?itok=ZumBOT28)
problem
Triathlon and Fitness
The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories?
![Vector walk](/sites/default/files/styles/medium/public/thumbnails/content-id-6572-icon.png?itok=Ro3tlj0y)
problem
Vector walk
Starting with two basic vector steps, which destinations can you reach on a vector walk?
![Why 24?](/sites/default/files/styles/medium/public/thumbnails/content-00-12-six2-icon.png?itok=IDw_MNsq)
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.
![Areas of parallelograms](/sites/default/files/styles/medium/public/thumbnails/content-id-4890-icon.jpg?itok=-pmyCMKz)
![Back fitter](/sites/default/files/styles/medium/public/thumbnails/content-id-6506-icon.gif?itok=gbCv-A6B)
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?
![Fill Me Up Too](/sites/default/files/styles/medium/public/thumbnails/content-id-7499-icon.jpg?itok=tBCBnfqy)
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?
![What's that graph?](/sites/default/files/styles/medium/public/thumbnails/content-id-7502-icon.jpg?itok=LHizmXXB)
![Hexy-Metry](/sites/default/files/styles/medium/public/thumbnails/content-98-04-15plus2-icon.jpg?itok=5bs1o7nw)
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?