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Three Squares

What is the greatest number of squares you can make by overlapping three squares?

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Two Dice

Find all the numbers that can be made by adding the dots on two dice.

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Biscuit Decorations

Andrew decorated 20 biscuits to take to a party. He lined them up and put icing on every second biscuit and different decorations on other biscuits. How many biscuits weren't decorated?

Repeating Patterns

Age 5 to 7 Challenge Level:

equilateral and isosceles triangles

If you have some triangles like these can you make the repeating patterns below?

repeating patterns from the triangles

What other repeating patterns can you make with these triangles?

Please send us some pictures of your creations.

You could print off these sheets of triangles on coloured paper, or you could use the interactivity below to try out your ideas.


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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.
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