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Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?

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Suppose we allow ourselves to use three numbers less than 10 and multiply them together. How many different products can you find? How do you know you've got them all?

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Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?

A Dotty Problem

Age 7 to 11 Challenge Level:

Thank you to Alistair who goes to Histon Infants School for the answer to this problem. He joined the dots to find the number $9$. Well done!