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'Geoboards' printed from http://nrich.maths.org/
This problem is written to stimulate exploration on a geoboard and
the hope is that you and your pupils will find further questions to
The problem is a nice way of raising pupils' awareness of "tilted"
squares on a grid and of challenging the frequently-heard cry of
"but that's a diamond"! It would be interesting to set
children off on tackling this problem, perhaps in pairs, and to
listen to the discussion which follows. If, after a
short time, no-one has found a tilted square, you could cut out a
square from paper, and, after ascertaining from the class what
shape it is, you could stick it on the board in different
orientations, asking each time whether the shape has
Having found all the different squares, investigating their areas
is a natural follow-up which is made accessible by the grid itself.