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The tangles created by the twists and turns of the Conway rope trick are surprisingly symmetrical. Here's why!
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?
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?
Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...
Take a look at the video and try to find a sequence of moves that will take you back to zero.
When is a knot invertible ?
Watch the video to see how Charlie works out the sum. Can you adapt his method?
Can you picture how to order the cards to reproduce Charlie's card trick for yourself?
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?
Choose a couple of the sequences. Try to picture how to make the next, and the next, and the next... Can you describe your reasoning?
Can you find out what is special about the dimensions of rectangles you can make with squares, sticks and units?
Generate three random numbers to determine the side lengths of a triangle. What triangles can you draw?
The Enigma Project's James Grime has created a video code challenge. Watch it here!
How is it possible to predict the card?
Charlie has created a mapping. Can you figure out what it does? What questions does it prompt you to ask?
Alison has created two mappings. Can you figure out what they do? What questions do they prompt you to ask?
Many numbers can be expressed as the sum of two or more consecutive integers. For example, 15=7+8 and 10=1+2+3+4. Can you say which numbers can be expressed in this way?
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.
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?
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.
Look carefully at the video of a tangle and explain what's happening.
BOOKING OPEN!! A FREE professional development day for NQTs.
Here is a chance to create some Celtic knots and explore the mathematics behind them.
These models have appeared around the Centre for Mathematical Sciences. Perhaps you would like to try to make some similar models of your own.
Can you explain how Galley Division works?
Video showing how to use the Number Plumber
Investigate how logic gates work in circuits.