### Pebbles

Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?

### 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!

### Have You Got It?

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

# Ewa's Eggs

##### Stage: 3 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?