Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.
Find a route from the outside to the inside of this square, stepping on as many tiles as possible.
In how many ways can you stack these rods, following the rules?
Have a go at this 3D extension to the Pebbles problem.
What is the shape of wrapping paper that you would need to completely wrap this model?
How will you decide which way of flipping over and/or turning the grid will give you the highest total?