This article introduces the idea of generic proof for younger children and illustrates how one example can offer a proof of a general result through unpacking its underlying structure.

A brief video looking at how you can sometimes use symmetry to distinguish knots. Can you use this idea to investigate the differences between the granny knot and the reef knot?

Watch the video to see how to fold a square of paper to create a flower. What fraction of the piece of paper is the small triangle?

This project challenges you to work out the number of cubes hidden under a cloth. What questions would you like to ask?

Can you visualise whether these nets fold up into 3D shapes? Watch the videos each time to see if you were correct.

Explore Alex's number plumber. What questions would you like to ask? Don't forget to keep visiting NRICH projects site for the latest developments and questions.

Strike it Out game for an adult and child. Can you stop your partner from being able to go?

These models have appeared around the Centre for Mathematical Sciences. Perhaps you would like to try to make some similar models of your own.

Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.

Dotty Six game for an adult and child. Will you be the first to have three sixes in a straight line?

Dotty Six is a simple dice game that you can adapt in many ways.

Exploring the structure of a number square: how quickly can you put the number tiles in the right place on the grid?

Video showing how to use the Number Plumber

The Enigma Project's James Grime has created a video code challenge. Watch it here!

Watch our videos of multiplication methods that you may not have met before. Can you make sense of them?

A video clip of Jo Boaler talking about Complex Instruction.

Alf and Tracy explain how the Kingsfield School maths department use common tasks to encourage all students to think mathematically about key areas in the curriculum.

Design and test a paper helicopter. What is the best design?