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Counting Counters

Take a counter and surround it by a ring of other counters that MUST touch two others. How many are needed?

Cuisenaire Squares

These squares have been made from Cuisenaire rods. Can you describe the pattern? What would the next square look like?


We can arrange dots in a similar way to the 5 on a dice and they usually sit quite well into a rectangular shape. How many altogether in this 3 by 5? What happens for other sizes?

Finding 3D Stacks

Age 7 to 11
Challenge Level
To start with you may find it helpful to use some materials (e.g. straws and Blutak) to create a model of the arrangement of red spheres.