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Geoboards

This practical challenge invites you to investigate the different squares you can make on a square geoboard or pegboard.

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Polydron

This activity investigates how you might make squares and pentominoes from Polydron.

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Tiles on a Patio

How many ways can you find of tiling the square patio, using square tiles of different sizes?

Square Corners

Age 7 to 11 Challenge Level:

On each of these grids the counters lie at the four corners of a square:

        

What is the greatest number of counters you can place on the grid without four of them lying at the corners of a square?
 

You might like to use this printable sheet.


This problem is taken from 'Mathematical Challenges for Able Pupils Key Stages 1 and 2', published by DfES.

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.