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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

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

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

Three 4 by 4 grids. Each has 4 counters positioned at the corners of a square

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

Empty 4 by 4 grid

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. More information on many of our other activities can be found here.
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NRICH is part of the family of activities in the Millennium Mathematics Project.