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Geoboards
This practical challenge invites you to investigate the different squares you can make on a square geoboard or pegboard.
Tiles on a Patio
How many ways can you find of tiling the square patio, using square tiles of different sizes?
Pebbles
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?
Age 7 to 11 Challenge Level:
You have pitched your tent (the red triangle) on an island. Can you move it to the position shown by the purple triangle? You must obey the following rules:
You can only move one peg (corner) at a time.
Pegs (corners) must stay on the island.
The area of your tent (the triangle) must always stay the same but the sides may stretch.
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NRICH is part of the family of activities in the Millennium Mathematics Project.
NRICH is part of the family of activities in the Millennium Mathematics Project.