Past features

Are you ready to enter the matrix? In this feature you will discover how matrices can be multiplied, explore how they can be used to represent transformations, use them to model probability problems and explore four dimensional numbers.

In this feature there are 4 problems based on STEP questions, all of which involve number theory.

In this feature we are exploring and proving some results about tetrahedrons.

In this feature we are presenting problems with a festive twist.

In this feature we are exploring and proving some results about tetrahedrons.

In this feature you will be challenged to derive elegant and efficient solutions to problems which, at first sight, might seem very difficult. 

This feature will introduce the symbols $\implies$ and $\iff$ and challenge you to reason logically and create true statements using these symbols.

The problems in this feature offer you the chance to explore geometrical properties, and then challenge you to create clear, rigorous proofs.

The problems in this feature challenge you to create convincing arguments or "proofs", and to identify where the logic breaks down in some "dodgy proofs".

The problems in this feature will allow you to explore the impact of lifestyle choices and help you gain a better understanding of the contributors to global emissions.

The resources in this feature have been designed to give you an introduction to the world of graph theory and networks, and to their applications.

This collection of activities offers you a variety of playful contexts in which you will be challenged to plan ahead and analyse the outcomes. 

This collection of activities offers you a variety of playful contexts in which you will be challenged to plan ahead and analyse the outcomes. 

Enter the world of modular arithmetic and discover the secrets of public key cryptography.

Number theory is a rich source of interesting problems which can lead to surprising results.

Curve sketching can be a very useful tool when you are solving equations or inequalities.

Journey into new and exciting territory!

Think you know what's going on? Look again!

Problems to astonish and amaze

When you get stuck, stick at it!

Find out about Complex Numbers and their applications.

If you know the output, how can you work out the input?

Surds are surprising!

What if we could find the square root of negative numbers?

This feature explores problems connected with area and integration

Can you make sense of these questions about quadratics?

A selection of challenges about inequalities

Resources to help you think about calculus and transformations

Can you connect different areas of maths?

Transpose and compose functions

Stretch your mathematical muscles!

Check out the new Underground Maths website

Explore exponentials and logarithms

These CMEP resources explore the use of trigonometric identities and other trig features

Problems to help you get started with higher mathematics courses

Be playful with graphs and networks, and see what theorems you can discover!

These resources from CMEP explore some aspects of differentiation and integration

In this feature, explore what happens to functions when you transform their graphs

There's nothing irrational about these problems!

Try these tricky trigonometry tasks.

This CMEP feature explores the properties of circles and triangles

Try some of our CMEP resources around the theme of logarithms.

Explore and sketch curves with different properties.

Try our new CMEP tasks to help you to think functionally!

Try some of our CMEP resources around the theme of quadratics.

This feature introduces some topics from Decision Mathematics

You can get a great feel for functions by sketching their graphs or using graph plotting software...

What advanced mathematics can you do on a dotty grid?

What stories do complicated data sets tell us? How can we present the information clearly?

When numbers are raised to different powers, there are lots of properties you can explore.

Learn about vectors and how to use them to solve problems

What are complex numbers, and how can we represent them?

These problems invite you to explore integration as area, and use area integrals to solve problems.

These problems are best solved using systematic approaches.

This collection of problems has been put together to help you to explore and understand important ideas in statistics.

Sequences are everywhere in mathematics! In these problems you can explore some sequences, learn how to represent them, and how to calculate sums of series.