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Choose any three by three square of dates on a calendar page...

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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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Draw a 'doodle' - a closed intersecting curve drawn without taking pencil from paper. What can you prove about the intersections?

Cyclic Quadrilaterals

Age 11 to 16 Challenge Level:

Draw lines from the centre point to the vertices of your quadrilaterals in order to construct some isosceles triangles.