### 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?

# Play a Merry Tune

##### Stage: 2 Challenge Level:

Your solutions to this problem will depend on the sorts of questions you asked yourselves. Isaac from High Wood Primary (and his Dad) did a calculation to try and work out how many different ways in total there might be to put the six different gourds on the wheel!

We'd love to hear about some of the tunes you make. You could create your own rules for making tunes, as the problem suggests - do you need to use at least one of each gourd? Are you allowing yourself spaces? Or why not compare the two tunes we've made in the problem?

Please don't worry that your solution is not "complete" - we'd like to hear about anything you have tried. Teachers - you might like to send a summary of your children's work.