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Three Squares

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

Two Dice

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

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?

Share Bears

Age 5 to 7
Challenge Level

Thank you for all your correct solutions to Share Bears. Natah from Claremont Fan Court School, Marcus from St Philip's School and Halo from Arden Primary School, Australia were able to find a general pattern. Here is what Halo wrote:


Yasmin and Zach can share a number 2, 4, 6, 8 or 10 bears between themselves. I noticed that all these numbers were even. I think this is because the bears are shared between 2 people, so only multiples of 2 can be shared between them.

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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