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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?

Counting Stick Conjectures

Age 5 to 11
Challenge Level

How many of the smallest rectangles are there in your stick?

How many rectangles that are 'two small rectangles long' are there in your stick? How many that are 'three small rectangles long'? ...

How are you keeping track of your total so far?