Past Secondary Student 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.

The problems and games in this feature will challenge you to visualise quadrilaterials.

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.

Where is the best place for your numbers? How will you decide?

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

In this feature, we challenge you to solve our Mathdokus, a mathematical variation of the well-known Sudoku

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

We hope that these problems will help you appreciate that algebra can be a versatile tool for solving a range of problems.  

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

In this feature you are invited to explore a variety of problems, and are then asked to construct convincing arguments to explain what you have discovered.

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 offer you the chance to explore geometrical properties, make conjectures and create proofs to show that these are always true.

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 offer you the chance to identify number patterns, make conjectures and create convincing mathematical proofs.

The problems in this feature will encourage you to explore the impact that your lifestyle choices have on the environment.

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 introduce you to the world of networks and graph theory.

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. 

The problems in this feature will give you the chance to investigate the properties of numbers in a variety of contexts.

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

This feature introduces you to number theory, a rich source of interesting problems which can lead to surprising results.

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

A chance to consider the equations of straight line graphs before moving on to consider the properties of quadratics and cubics.

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

Probability can help you make better choices and challenge commonly-held misconceptions.

The problems in this feature challenge you to explore different ways of arriving at a solution

What makes a good mathematician? This feature will help you to build your mathematical muscles.

Maths problems to try at home

A chance to compare numbers expressed in different ways, and to use these different representations in calculations.

Use Cuisenaire rods to help you visualise patterns and relationships with numbers

Explore these problems and explain the mathematical ideas you discover!

Can you explain the mathematics behind the trickery?

Working backwards can help you to make great leaps forwards!

Can you find the best strategy?

These problems can be represented in many different ways!

Explore using interactive tools.

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!

Challenging problems to get stuck into!

Find out about Complex Numbers and their applications.

These problems will make you say "I wonder what happens if...?"

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

Learn about the maths you need to become a codebreaker!

Surds are surprising!

Practice makes perfect.

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

We hope you enjoy being mathematically playful with these puzzling problems.

This feature explores problems connected with area and integration

These problems invite you to think about area in unusual ways.

Can you make sense of these questions about quadratics?

Explore quadratics and the power of factorisation

A selection of challenges about inequalities

Test yourself with these short challenges

Resources to help you think about calculus and transformations

Try these treasures to celebrate NRICH's birthday!

Can you connect different areas of maths?

Simple starting points in Number Theory

Transpose and compose functions

Can you win the Maths Olympics?

Stretch your mathematical muscles!

Some mathematical results can be proved beautifully with just a simple diagram...

Check out the new Underground Maths website

Can you reach for the stars and make sense of infinity?

Explore exponentials and logarithms

These resources explore probability in medicine and the law.

Explore how to use statistics and probability to make informed decisions

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

Some tricky number teasers for you to puzzle over

Discover some angle relationships

Problems to help you get started with higher mathematics courses

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

Be playful with polygons. What patterns can you find?

These resources from CMEP explore some aspects of differentiation and integration

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

Be surprised by some familiar sequences.

There's nothing irrational about these problems!

Try these tricky trigonometry tasks.

How well do you really understand mean, median and mode?

This CMEP feature explores the properties of circles and triangles

Explore some shape problems and make some discoveries!

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!

Who would have thought that addition could be so intriguing?

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...

There's more room to manoeuvre than you might think!

What advanced mathematics can you do on a dotty grid?

I wonder what maths we can do on dotty paper...

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

Use your statistical skills to answer some interesting questions.