This practical challenge invites you to investigate the different
squares you can make on a square geoboard or pegboard.
This activity investigates how you might make squares and pentominoes from Polydron.
How many ways can you find of tiling the square patio, using square
tiles of different sizes?
Harry had a circle which was marked with twelve numbered dots to
help him draw clock faces. The circle had a diameter of $10$
Harry drew lines from the $12$ to the $3$, from the $3$ to the
$6$, from the $6$ to the $9$, and then back from the $9$ to the
What shape had he drawn?
Find the area of the shape.
Harry had lots of centimetre square tiles.
He covered as much of his shape as he could with whole tiles
without going over the edge.
What was the largest number of whole tiles he could fit in?