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Broad Topics > Using, Applying and Reasoning about Mathematics > Representing

One Big Triangle

Stage: 1 Challenge Level:

Make one big triangle so the numbers that touch on the small triangles add to 10. You could use the interactivity to help you.

Dice in a Corner

Stage: 2 Challenge Level:

How could you arrange at least two dice in a stack so that the total of the visible spots is 18?

Let's Divide Up!

Stage: 2 Challenge Level:

Look at different ways of dividing things. What do they mean? How might you show them in a picture, with things, with numbers and symbols?

Olympic Turns

Stage: 2 Challenge Level:

This task looks at the different turns involved in different Olympic sports as a way of exploring the mathematics of turns and angles.

That Number Square!

Stage: 1 and 2 Challenge Level:

Exploring the structure of a number square: how quickly can you put the number tiles in the right place on the grid?

Different Sizes

Stage: 1 and 2 Challenge Level:

A simple visual exploration into halving and doubling.

Polar Bearings

Stage: 5 Challenge Level:

What on earth are polar coordinates, and why would you want to use them?

Going for Gold

Stage: 2 Challenge Level:

Looking at the 2008 Olympic Medal table, can you see how the data is organised? Could the results be presented differently to give another nation the top place?

Charting More Success

Stage: 3 and 4 Challenge Level:

Can you make sense of the charts and diagrams that are created and used by sports competitors, trainers and statisticians?

Charting Success

Stage: 3 and 4 Challenge Level:

Can you make sense of the charts and diagrams that are created and used by sports competitors, trainers and statisticians?

Factorising with Multilink

Stage: 4 Challenge Level:

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

3D Stacks

Stage: 2 and 3 Challenge Level:

Can you find a way of representing these arrangements of balls?

Painting by Functions

Stage: 5 Challenge Level:

Use functions to create minimalist versions of works of art.

Maths Shop Window

Stage: 5 Challenge Level:

Make a functional window display which will both satisfy the manager and make sense to the shoppers

Children's Mathematical Graphics: Understanding the Key Concept

Stage: 1

In this article for teachers, Elizabeth Carruthers and Maulfry Worthington explore the differences between 'recording mathematics' and 'representing mathematical thinking'.

28 and It's Upward and Onward

Stage: 2 Challenge Level:

Can you find ways of joining cubes together so that 28 faces are visible?

The Development of Algebra - 2

Stage: 3, 4 and 5

This is the second article in a two part series on the history of Algebra from about 2000 BCE to about 1000 CE.

What Is the Question?

Stage: 3 and 4 Challenge Level:

These pictures and answers leave the viewer with the problem "What is the Question". Can you give the question and how the answer follows?

Building Gnomons

Stage: 4 Challenge Level:

Build gnomons that are related to the Fibonacci sequence and try to explain why this is possible.

A Flying Holiday

Stage: 2 Short Challenge Level:

Follow the journey taken by this bird and let us know for how long and in what direction it must fly to return to its starting point.

Dodecamagic

Stage: 2 Challenge Level:

Here you see the front and back views of a dodecahedron. Each vertex has been numbered so that the numbers around each pentagonal face add up to 65. Can you find all the missing numbers?

Gnomon Dimensions

Stage: 4 Challenge Level:

These gnomons appear to have more than a passing connection with the Fibonacci sequence. This problem ask you to investigate some of these connections.