Can you work out how to win this game of Nim? Does it matter if you go first or second?
Take a look at the video of this trick. Can you perform it yourself? Why is this maths and not magic?
Strike it Out game for an adult and child. Can you stop your partner from being able to go?
Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.
In this game for two players, take it in turns to shade one petal, or two petals next to each other. Is it better to go first or second?
Watch this animation. What do you see? Can you explain why this happens?
There are three versions of this challenge. The idea is to change the colour of all the spots on the grid. Can you do it in fewer throws of the dice?
Watch the video of Fran re-ordering these number cards. What do you notice? Try it for yourself. What happens?
Does this 'trick' for calculating multiples of 11 always work? Why or why not?
Watch this video to see how to roll the dice. Now it's your turn! What do you notice about the dice numbers you have recorded?
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.
Try out some calculations. Are you surprised by the results?
This is an adding game for two players. Can you be the first to reach the target?
What do you think is going to happen in this video clip? Are you surprised?
Watch our videos of multiplication methods that you may not have met before. Can you make sense of them?
Can you visualise whether these nets fold up into 3D shapes? Watch the videos each time to see if you were correct.
A magician took a suit of thirteen cards and held them in his hand face down. Every card he revealed had the same value as the one he had just finished spelling. How did this work?
Watch this animation. What do you notice? What happens when you try more or fewer cubes in a bundle?
What do you see as you watch this video? Can you create a similar video for the number 12?
Dotty Six is a simple dice game that you can adapt in many ways.
Can you spot the mistake in this video? How would you work out the answer to this calculation?
Dotty Six game for an adult and child. Will you be the first to have three sixes in a straight line?
Exploring the structure of a number square: how quickly can you put the number tiles in the right place on the grid?
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?
These models have appeared around the Centre for Mathematical Sciences. Perhaps you would like to try to make some similar models of your own.
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.
The Enigma Project's James Grime has created a video code challenge. Watch it here!
Design and test a paper helicopter. What is the best design?