### 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?

# Polo Square

##### Stage: 2 Challenge Level:

Solutions gathered by Alan after RI lecture:

 Polo total Number of distinct responses 9 2 10 6 11 10 12 13 13 10 14 5 15 12 16 8 17 3 18 3

In fact, Cecilia, Anna and David have emailed us to say that they think the above table isn't quite right.

They suggest the following:

 Polo total Number of distinct responses 9 3 10 6 11 10 12 13 13 10 14 10 15 13 16 10 17 6 18 3

They say:

It is possible that we lack some solutions, but what is absolutely certain is that the list must be symmetric since for every solution in which each row and column add N we can find a solution in which each row and column add 27-N, with the following procedure:
a b c           9-a 9-b 9-c
d   e           9-d     9-e
f g h           9-f 9-g 9-h

Thank you!