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Broad Topics > Information and Communications Technology > Video

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Beelines

Stage: 4 Challenge Level: Challenge Level:1

Is there a relationship between the coordinates of the endpoints of a line and the number of grid squares it crosses?

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Always a Multiple?

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...

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Cyclic Quad Jigsaw

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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?

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Take Three from Five

Stage: 3 and 4 Challenge Level: Challenge Level:2 Challenge Level:2

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?

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Charlie's Mapping

Stage: 3 Challenge Level: Challenge Level:1

Charlie has created a mapping. Can you figure out what it does? What questions does it prompt you to ask?

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Seven Squares - Group-worthy Task

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

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?

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Summing Consecutive Numbers

Stage: 3 Challenge Level: Challenge Level:1

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?

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Twisting and Turning

Stage: 3 Challenge Level: Challenge Level:1

Take a look at the video and try to find a sequence of moves that will take you back to zero.

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Alison's Mapping

Stage: 4 Challenge Level: Challenge Level:1

Alison has created two mappings. Can you figure out what they do? What questions do they prompt you to ask?

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Up, Down, Flying Around

Stage: 3 Challenge Level: Challenge Level:1

Play this game to learn about adding and subtracting positive and negative numbers

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Constructing Triangles

Stage: 3 Challenge Level: Challenge Level:1

Generate three random numbers to determine the side lengths of a triangle. What triangles can you draw?

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Strange Bank Account

Stage: 3 Challenge Level: Challenge Level:1

Imagine a very strange bank account where you are only allowed to do two things...

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Summing Geometric Progressions

Stage: 4 and 5 Challenge Level: Challenge Level:1

Watch the video to see how to sum the sequence. Can you adapt the method to sum other sequences?

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ACE, TWO, THREE...

Stage: 3 Challenge Level: Challenge Level:1

Can you picture how to order the cards to reproduce Charlie's card trick for yourself?

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Symmetric Tangles

Stage: 4

The tangles created by the twists and turns of the Conway rope trick are surprisingly symmetrical. Here's why!

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Perimeter Possibilities

Stage: 3 Challenge Level: Challenge Level:1

I'm thinking of a rectangle with an area of 24. What could its perimeter be?

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Seven Squares

Stage: 3 and 4 Challenge Level: Challenge Level:2 Challenge Level:2

Watch these videos to see how Phoebe, Alice and Luke chose to draw 7 squares. How would they draw 100?

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Air Nets

Stage: 2, 3, 4 and 5 Challenge Level: Challenge Level:1

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

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Factorising with Multilink

Stage: 4 Challenge Level: Challenge Level:1

Can you find out what is special about the dimensions of rectangles you can make with squares, sticks and units?

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Frogs

Stage: 2 and 3 Challenge Level: Challenge Level:1

How many moves does it take to swap over some red and blue frogs? Do you have a method?

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Power Countdown

Stage: 4 Challenge Level: Challenge Level:1

In this twist on the well-known Countdown numbers game, use your knowledge of Powers and Roots to make a target.

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Drawing Celtic Knots

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

Here is a chance to create some Celtic knots and explore the mathematics behind them.

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The Invertible Trefoil

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

When is a knot invertible ?

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Turning Tangles

Stage: 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Look carefully at the video of a tangle and explain what's happening.

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Circuit Maker

Stage: 2, 3, 4 and 5 Challenge Level: Challenge Level:1

Investigate how logic gates work in circuits.

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Slick Summing

Stage: 4 Challenge Level: Challenge Level:1

Watch the video to see how Charlie works out the sum. Can you adapt his method?

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Turning the Place Over

Stage: 3, 4 and 5 Challenge Level: Challenge Level:1

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?

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Helicopters

Stage: 2, 3 and 4 Challenge Level: Challenge Level:1

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

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A Brief Introduction to Complex Numbers

Stage: 4 and 5 Challenge Level: Challenge Level:1

In this problem, we define complex numbers and invite you to explore what happens when you add and multiply them.

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Method in Multiplying Madness?

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

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

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Jo Boaler Explains Complex Instruction

Stage: 1, 2, 3, 4 and 5 Challenge Level: Challenge Level:1

A video clip of Jo Boaler talking about Complex Instruction.

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Galley Division

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Can you explain how Galley Division works?

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James's Code Challenge

Stage: 2, 3, 4 and 5 Challenge Level: Challenge Level:1

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

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The Best Card Trick?

Stage: 3 and 4 Challenge Level: Challenge Level:1

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?

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Introduction to Number Plumber

Stage: 2, 3, 4 and 5 Challenge Level: Challenge Level:1

Video showing how to use the Number Plumber

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Plaited Origami Polyhedra

Stage: 2, 3 and 4 Challenge Level: Challenge Level:1

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

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Amazing Card Trick

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

How is it possible to predict the card?

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Kingsfield School - Building on Rich Starting Points

Stage: 1, 2, 3, 4 and 5

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.