Explain how the thirteen pieces making up the regular hexagon shown
in the diagram can be re-assembled to form three smaller regular
hexagons congruent to each other.
Draw all the possible distinct triangles on a 4 x 4 dotty grid.
Convince me that you have all possible triangles.
A red square and a blue square of side $s$ are overlapping so that the corner
of the red square rests on the centre of the blue square.
Show that, whatever the orientation of the red square, it covers
a quarter of the blue square.
If the red square is smaller than the blue square what is the
smallest length its side can have for your proof to remain