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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!

### Have You Got It?

Can you explain the strategy for winning this game with any target?

### Counting Factors

Is there an efficient way to work out how many factors a large number has?

# Ewa's Eggs

##### Age 11 to 14 Challenge Level:

If the eggs are divided into piles of 2, one is left over. How many eggs could there be?

If the eggs are divided into piles of 3, one is left over. How many eggs could there be?

If the eggs are divided into piles of 4, one is left over. How many eggs could there be?

If the eggs are divided into piles of 5, one is left over. How many eggs could there be?

If the eggs are divided into piles of 6, one is left over. How many eggs could there be?

The eggs go into the basket in groups of 7. How many eggs could there be?