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Master Minding
Age 11 to 14
Challenge Level 
It is always good to start simply.
What are the possible combinations of guesses?
What possible scores can you be given and what could thery mean. A score will narrow your possibilities for the next move but will not necessarily remove all choice.
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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!
Summing Consecutive Numbers
15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?