This practical challenge invites you to investigate the different
squares you can make on a square geoboard or pegboard.
How many ways can you find of tiling the square patio, using square
tiles of different sizes?
Place four pebbles on the sand in the form of a square. Keep adding
as few pebbles as necessary to double the area. How many extra
pebbles are added each time?
Chetan sent in this solution.
However, Paul from Brentside High School
You are absolutely right, Paul.
Paul goes on to wonder whether there is a purely
numerical solution to the problem. I am not sure that
there is, as you would have to take into account the spatial aspect
too. What do you think?