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Which of these triangular jigsaws are impossible to finish?
A picture is made by joining five small quadrilaterals together to make a large quadrilateral. Is it possible to draw a similar picture if all the small quadrilaterals are cyclic?
The tangles created by the twists and turns of the Conway rope trick are surprisingly symmetrical. Here's why!
Caroline and James pick sets of five numbers. Charlie chooses three of them that add together to make a multiple of three. Can they stop him?
Steve has created two mappings. Can you figure out what they do? What questions do they prompt you to ask?
Alison has created two mappings. Can you figure out what they do? What questions do they prompt you to ask?
Watch the video to see how to add together an arithmetic sequence of numbers efficiently.
Can you make a square from these triangles?
Watch the video to see how Charlie works out the sum. Can you adapt his method?
Can you find out what is special about the dimensions of rectangles you can make with squares, sticks and units?
Video showing how to use the Number Plumber
The Enigma Project's James Grime has created a video code challenge. Watch it here!
Can you explain how Galley Division works?
Investigate how logic gates work in circuits.
When is a knot invertible ?
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Whirl a conker around in a horizontal circle on a piece of string. What is the smallest angular speed with which it can whirl?
These models have appeared around the Centre for Mathematical Sciences. Perhaps you would like to try to make some similar models of your own.
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.
As part of Liverpool08 European Capital of Culture there were a huge number of events and displays. One of the art installations was called "Turning the Place Over". Can you find our how it works?
Time for a little mathemagic! Choose any five cards from a pack and show four of them to your partner. How can they work out the fifth?