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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?

Button-up Some More

Age 7 to 11
Challenge Level
How do you know you have found all the ways?
How could you use the number of ways to button up three buttons to help you work out the number of ways for four buttons?
How will you record what you're doing?