This activity investigates how you might make squares and pentominoes from Polydron.
If you had 36 cubes, what different cuboids could you make?
How can you put five cereal packets together to make different
shapes if you must put them face-to-face?
A set of ten cards, each showing one of the digits from $0$ to $9$, is divided up between five envelopes so that there are two cards in each envelope. The sum of the cards inside it is written on each envelope:
What numbers could be inside the $8$ envelope?
Thank you to Alan Parr for allowing us to adapt one of his problems.