**There is a famous problem about a chess board that has been damaged...**

Start with a chessboard:

Cut off two opposite corners:

**Dominoes can cover two adjacent squares. Can you cover the remaining 62 squares using dominoes?**

Once you've thought about it, click below to see some questions you might like to consider:

- How many black and how many white squares are there on the original chessboard?
- What colour squares were cut off?
- When you place a domino on the board, what colour(s) does it cover up?

Can you explain why it is impossible to tile the chessboard once the opposite corners have been cut off?