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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?

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Cuisenaire Rods

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

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Doplication

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?

Sitting Round the Party Tables

Stage: 1 and 2 Challenge Level: Challenge Level:1

You could use some practical equipment to help you work on this problem, such as counters.
Are there any special things you notice about the seats in particular places?