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Rectangles with Dominoes

Can you make a rectangle with just 2 dominoes? What about 3, 4, 5, 6, 7...?

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Chain of Changes

Arrange the shapes in a line so that you change either colour or shape in the next piece along. Can you find several ways to start with a blue triangle and end with a red circle?

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Sorting Shapes

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Making Shapes

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

You have $18$ counters to put on a grid. You can place the counters where the lines of the grid cross over each other, not in the squares.
Arrange any number of counters on the grid to make a rectangle (not just its outline).
What numbers of counters make rectangles?
How many different rectangles can you make with each number of counters?
You could use this interactivity to help you.
This text is usually replaced by the Flash movie.


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.