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The red ring is inside the blue ring in this picture. Can you rearrange the rings in different ways? Perhaps you can overlap them or put one outside another?

Can you cover the camel with these pieces?

How would you find out how many football cards Catrina has collected?

This task follows on from Build it Up and takes the ideas into three dimensions!

Solve an equation involving the Golden Ratio phi where the unknown occurs as a power of phi.

Take any two numbers between 0 and 1. Prove that the sum of the numbers is always less than one plus their product?

Find the polynomial p(x) with integer coefficients such that one solution of the equation p(x)=0 is $1+\sqrt 2+\sqrt 3$.

A belt of thin wire, length L, binds together two cylindrical welding rods, whose radii are R and r, by passing all the way around them both. Find L in terms of R and r.

This activity will help you get used to the coins you have in your country.