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Age 7 to 11
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Here are a few of the possible solutions for a space in the top left hand corner:

Ans1
 
We received the following solution from children at Highfield C E Primary School in Southampton in the UK:
 
 
 

Here are some answers when the space is near to the middle:

Ans2

 

Here are some answers when the space is about half way down the left hand side:
 

Ans3

 

 

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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?

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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.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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