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Broad Topics > Information and Communications Technology > Video

Impossible Triangles?

Stage: 5 Challenge Level:

Which of these triangular jigsaws are impossible to finish?

Stage: 4 Challenge Level:

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?

Take Three from Five

Stage: 4 Challenge Level:

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?

James's Code Challenge

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

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

Air Nets

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

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

Slick Summing

Stage: 4 Challenge Level:

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

Beelines

Stage: 4 Challenge Level:

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

A Brief Introduction to Complex Numbers

Stage: 4 and 5 Challenge Level:

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

Power Countdown

Stage: 4 Challenge Level:

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

Summing Geometric Progressions

Stage: 4 and 5 Challenge Level:

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

Speedy Summations

Stage: 5 Challenge Level:

Watch the video to see how to add together an arithmetic sequence of numbers efficiently.

Introduction to Number Plumber

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

Video showing how to use the Number Plumber

Impossible Square?

Stage: 5 Challenge Level:

Can you make a square from these triangles?

Steve's Mapping

Stage: 5 Challenge Level:

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

Symmetric Tangles

Stage: 4

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

Alison's Mapping

Stage: 4 Challenge Level:

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

Circuit Maker

Stage: 3, 4 and 5 Challenge Level:

Investigate how logic gates work in circuits.

Helicopters

Stage: 2, 3 and 4 Challenge Level:

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

Sorted

Stage: 5 Challenge Level:

How can you quickly sort a suit of cards in order from Ace to King?

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.

Stage: 4 Challenge Level:

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

Plaited Origami Polyhedra

Stage: 2, 3 and 4 Challenge Level:

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

Turning the Place Over

Stage: 3, 4 and 5 Challenge Level:

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?

The Best Card Trick?

Stage: 3 and 4 Challenge Level:

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?

Whirlyball

Stage: 5 Challenge Level:

Whirl a conker around in a horizontal circle on a piece of string. What is the smallest angular speed with which it can whirl?

The Invertible Trefoil

Stage: 4 Challenge Level:

When is a knot invertible ?

Galley Division

Stage: 4 Challenge Level:

Can you explain how Galley Division works?