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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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Adding All Nine

Make a set of numbers that use all the digits from 1 to 9, once and once only. Add them up. The result is divisible by 9. Add each of the digits in the new number. What is their sum? Now try some other possibilities for yourself!

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Old Nuts

In turn 4 people throw away three nuts from a pile and hide a quarter of the remainder finally leaving a multiple of 4 nuts. How many nuts were at the start?

Product Sudoku

Stage: 3, 4 and 5 Challenge Level: Challenge Level:1

Rosie and Zoe solved this Sudoku. Their journey can be found here.

They kept a record of the order in which they filled the Sudoku and wrote it in the boxes. This is just one possible route through the problem.