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.
If you had 36 cubes, what different cuboids could you make?
This is a famous problem: Place eight queens on a chessboard (an $8$ by $8$ grid) so that none can capture any of the others.
Remember that a queen can move any number of squares across, down or diagonally.
This is a good one to do outside with seven friends standing on an $8$ by $8$ grid!
Is there more than one solution?