Can you prove that the opposite angles of cyclic quadrilaterals add to $180^\circ$?
Can you prove the angle properties described by some of the circle theorems?
Construct two equilateral triangles on a straight line. There are two lengths that look the same - can you prove it?
How did the the rotation robot make these patterns?
How many winning lines can you make in a three-dimensional version of noughts and crosses?
Caroline and James pick sets of five numbers. Charlie tries to find three that add together to make a multiple of three. Can they stop him?
If you can copy a network without lifting your pen off the paper and without drawing any line twice, then it is traversable. Decide which of these diagrams are traversable.
