### Cubes

How many faces can you see when you arrange these three cubes in different ways?

### 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?

### Bracelets

Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?

# Balance of Halves

##### Age 7 to 11 Challenge Level:
We've had one way of doing it using a weight on the $\frac{1}{2}$ peg. How could you balance 7 using $1\frac{1}{2}$? Can you carry on going along the balance like this trying the "half numbers" in turn?

How will you make a note of what you have done?

How will you know that you have got all the different ways?