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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:
How can the dice help you draw a shape with that area?
Have you got all the shapes with that area/perimeter? How do you know?
How could you 'tweak' that shape to get another with the same perimeter?
Have you got all the shapes with that area/perimeter? How do you know?
How could you 'tweak' that shape to get another with the same perimeter?
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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.