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

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Multilink Cubes

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

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Cereal Packets

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

Plates of Biscuits

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

Why do this problem?

This problem is one using combinations which needs systematic working and logical thinking. It is suitable for working in pairs with a partner. Spreadsheets can be used for working and recording.

Key questions

Haven'??t you already got those two letters together on a plate?
How can you tell how many times you have used that letter?
Can you make a table to show your results so far?

Possible extension

Learners could find different ways to arrange the biscuits and write an explanation of their working.

Possible support

Suggest using counters with the letters on and doing the problem practically.