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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?

Making Boxes

Age 7 to 11
Challenge Level

Here we see pictures of well-displayed solutions sent in from Rawdon Littlemoor School, we had 25 pupils' results sent in. Well done!

SolRawdon

Many pupils from Prince Henry's Grammar School sent in their solutions having made good use of a spreadsheet. Here are two of them:

Solution2




The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.
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NRICH is part of the family of activities in the Millennium Mathematics Project.