Being resourceful

Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?

Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?

Can you decide whether these short statistical statements are always, sometimes or never true?

Sequences of multiples keep cropping up...

Here is a chance to play a fractions version of the classic Countdown Game.

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a parallelogram.

The number in the square is the mean of the four numbers surrounding it. Can you find the missing numbers? 

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?