### Polydron

This activity investigates how you might make squares and pentominoes from Polydron.

If you had 36 cubes, what different cuboids could you make?

### Cereal Packets

How can you put five cereal packets together to make different shapes if you must put them face-to-face?

# It Figures

### Why do this problem?

This activity makes interesting use of multiplication facts. The challenge can easily be used without the connection with fractions and by just dealing with the denominators.

### Key questions

Tell me about the numbers you've found.

### Possible extension

For more advanced/experienced/older pupils, challenge them to find the number of different combinations according to:-
the number of fractions that are allowed to be multiplied together;
the range of numbers that are allowed to be used.
If you pursue this you may come across the addition of triangular numbers [to make pyramid numbers] and then the addition of these [pyramid] numbers, and so on!

### Possible support

Calculators may be supportive for those pupils without fast recall of facts.