Some puzzles requiring no knowledge of knot theory, just a careful inspection of the patterns. A glimpse of the classification of knots and a little about prime knots, crossing numbers and. . . .

Can you reproduce the Yin Yang symbol using a pair of compasses?

Can you devise the most efficient strategy for finding the highest floor from which you can drop an egg safely?

Charlie thinks that a six comes up less often than the other numbers on the dice. Have a look at the results of the test his class did to see if he was right.

Use the interactivity to listen to the bells ringing a pattern. Now it's your turn! Play one of the bells yourself. How do you know when it is your turn to ring?

Can you create a story that would describe the movement of the man shown on these graphs? Use the interactivity to try out our ideas.

In this article, Janine Davenall reflects on childrenâ€™s personalised mathematical recordings as part of a small research project based in her Reception class.

Think of a number and follow the machine's instructions... I know what your number is! Can you explain how I know?

Think of a number and follow my instructions. Tell me your answer, and I'll tell you what you started with! Can you explain how I know?