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Amazing as it may seem the three fives remaining in the following `skeleton' are sufficient to reconstruct the entire long division sum.

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Alphabet Soup

This challenge is to make up YOUR OWN alphanumeric. Each letter represents a digit and where the same letter appears more than once it must represent the same digit each time.

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Medal Muddle

Countries from across the world competed in a sports tournament. Can you devise an efficient strategy to work out the order in which they finished?

Long Multiplication

Stage: 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Catherine, Rachel & Fiona from The Mount School, York, Sonia from Madras College, and the KS3 Maths Club from Strabane Grammar School all solved this. Everyone used trial and improvement but soon realised that there could not be a 2 in the two original numbers. James of Hethersett High School, Norwich gave the best explanation of the method. The answer is 775 multiplied by 33.

7 7 5
x 3 3

2 3 2 5
2 3 2 5 0

2 5 5 7 5