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Thirty Nine, Seventy Five
Age 11 to 14
Challenge Level 
We have exactly $100$ coins. There are five different values of coins.
We have decided to buy a piece of computer software for £39.75. We have the correct money, not a penny more, not a penny less!
Can you discover what the five different types of coins are worth and how many of each we have saved?
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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?