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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?

What's Happening?

Age 5 to 7 Challenge Level:

   

 

We started with this pentagon.

Added a triangle:

Then another one:

What would come next, and why?

 

Can you invent something like these for your friends to solve?


pdf is available here

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