### 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?

# Matching Fractions, Decimals and Percentages

##### Age 7 to 14 Challenge Level:

One third is the number you get when you divide one by three.
One third can be represented in all the following different ways:

$$\frac{1}{3} \mbox{ or as an equivalent fraction e.g. } \frac{3}{9} \mbox{ or } \frac{5}{15}$$

$$0.3333... = 0.3 \mbox{ recurring } = 0.\dot{3}$$

$$33 \frac{1}{3}\text{ out of }100 = 33 \frac{1}{3} \%$$