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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?

Grouping Goodies

Age 5 to 7
Challenge Level

Pat has no more than $20$ sweets in a bag.

seets

She counts her sweets in groups of two. She has one left over.

Then she counts her sweets in groups of five. She has $2$ left over.

How many sweets could Pat have? Is there another answer?


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.