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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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Fencing

Arrange your fences to make the largest rectangular space you can. Try with four fences, then five, then six etc.

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Transformations on a Pegboard

How would you move the bands on the pegboard to alter these shapes?

Two by One

Stage: 2 Challenge Level: Challenge Level:1

There are lots of answers to this question, depending on what patterns you look for, and how big you think the room is.

Have a try for yourself, and if you discover anything interesting, let us know by emailing primary.nrich@maths.org.

Please don't worry that your solution is not "complete" - we'd like to hear about anything you have tried.

Teachers - you might like to send in a summary of your children's work.
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.