Past Features

Planning Ahead

Age 16 to 18
Challenge Level

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

Can You Plan Strategically?

Age 11 to 18

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

Around and Around

Age 11 to 16

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

Modular Arithmetic

Age 16 to 18

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

Adventures with Numbers

Age 11 to 16

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

Some Problems in Number Theory

Age 14 to 18

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

Uphill and Downhill

Age 11 to 16

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

Curve Sketching Feature

Age 16 to 18

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

Take a Chance

Age 11 to 16
Challenge Level

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

Can You Think Flexibly?

Age 11 to 16
Challenge Level

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

Becoming a Better Mathematician

Age 11 to 18
Challenge Level

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

Maths at Home

Age 11 to 18
Challenge Level

Maths problems to try at home

Comparing and Matching

Age 11 to 16
Challenge Level

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

Picturing with Rods

Age 11 to 16
Challenge Level

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

Getting Started, Getting Stuck

Age 11 to 18
Challenge Level

Explore and Explain

Age 11 to 18

Explore these problems and explain the mathematical ideas you discover!

Mathematical Wizardry

Age 11 to 18

Can you explain the mathematics behind the trickery?

Working Backwards, Leaping Forwards

Age 11 to 18
Challenge Level

Working backwards can help you to make great leaps forwards!

Is There a Better Way?

Age 11 to 18
Challenge Level

Can you find the best strategy?

Many Ways to See

Age 11 to 18
Challenge Level

These problems can be represented in many different ways!

Dynamic Explorations

Age 11 to 18

Explore using interactive tools.

Journeys of Discovery

Age 11 to 18

Journey into new and exciting territory!

Look Again

Age 11 to 18

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

Tales of the Unexpected

Age 11 to 18
Challenge Level

Problems to astonish and amaze

Stick at It!

Age 14 to 18
Challenge Level

When you get stuck, stick at it!

Get Stuck...in

Age 11 to 16
Challenge Level

Challenging problems to get stuck into!

Complex Adventures

Age 14 to 18
Challenge Level

Find out about Complex Numbers and their applications.

What If...?

Age 11 to 16
Challenge Level

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

Inverse Problems

Age 14 to 18
Challenge Level

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

Cracking Codes

Age 11 to 16

Learn about the maths you need to become a codebreaker!

Root to Success

Age 16 to 18
Challenge Level

Surds are surprising!

Sharpen Your Skills

Age 11 to 16
Challenge Level

Practice makes perfect.

Imagine This!

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

Playful Puzzling

Age 11 to 16
Challenge Level

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

Areas and Integrals

Age 14 to 18
Challenge Level

This feature explores problems connected with area and integration

Area Intrigue

Age 11 to 16
Challenge Level

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

Quadratic Queries

Age 14 to 18

Can you make sense of these questions about quadratics?

Factorise This!

Age 11 to 16
Challenge Level

Explore quadratics and the power of factorisation

Inequality Extravaganza

Age 16 to 18
Challenge Level

A selection of challenges about inequalities

Short Problem Showcase

Age 11 to 16
Challenge Level

Test yourself with these short challenges

Stretchy Calculus

Age 16 to 18
Challenge Level

Resources to help you think about calculus and transformations

Hidden Treasures

Age 11 to 16
Challenge Level

Try these treasures to celebrate NRICH's birthday!

Making Connections

Age 16 to 18
Challenge Level

Can you connect different areas of maths?

Exploring Our Number System

Age 11 to 16
Challenge Level

Simple starting points in Number Theory

Get Functioning

Age 16 to 18
Challenge Level

Transpose and compose functions

Maths for Champions

Age 11 to 16
Challenge Level

Can you win the Maths Olympics?

Pick 'n' Mix

Age 16 to 18
Challenge Level

Stretch your mathematical muscles!

Seeing Is Believing

Age 11 to 16
Challenge Level

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

Underground Mathematics

Age 16 to 18
Challenge Level

Check out the new Underground Maths website

Number Patterns and Infinity

Age 11 to 16

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

Powerful Logs

Age 16 to 18
Challenge Level

Explore exponentials and logarithms

Probability and Evidence

Age 11 to 16
Challenge Level

These resources explore probability in medicine and the law.

Should I Risk It?

Age 11 to 16
Challenge Level

Explore how to use statistics and probability to make informed decisions

Identifying Trigonometry

Age 16 to 18
Challenge Level

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

Number Teasers

Age 11 to 16
Challenge Level

Some tricky number teasers for you to puzzle over

Angles and Polygons

Age 11 to 16
Challenge Level

Discover some angle relationships

Finding Your Feet

Age 16 to 18
Challenge Level

Problems to help you get started with higher mathematics courses

Graphs and Networks

Age 14 to 18
Challenge Level

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

Playing with Polygons

Age 11 to 16
Challenge Level

Be playful with polygons. What patterns can you find?

Curvy Calculus

Age 16 to 18
Challenge Level

These resources from CMEP explore some aspects of differentiation and integration

Transforming Ideas

Age 16 to 18

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

Sequence Surprises

Age 11 to 16
Challenge Level

Be surprised by some familiar sequences.

Time to Be Irrational!

Age 16 to 18
Challenge Level

There's nothing irrational about these problems!

Tricky Trigonometry

Age 16 to 18

Try these tricky trigonometry tasks.

All about Averages

Age 11 to 16

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

Circular Arguments

Age 16 to 18
Challenge Level

This CMEP feature explores the properties of circles and triangles

Surprised by Shapes

Age 11 to 16
Challenge Level

Explore some shape problems and make some discoveries!

Logs by the Fire

Age 16 to 18
Challenge Level

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

Curves, Tangents and Asymptotes

Age 16 to 18
Challenge Level

Explore and sketch curves with different properties.

Thinking Functionally

Age 16 to 18
Challenge Level

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

Addicted to Addition

Age 11 to 16
Challenge Level

Who would have thought that addition could be so intriguing?

Digging Deeper Into Quadratics

Age 16 to 18
Challenge Level

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

Making Decisions

Age 16 to 18
Challenge Level

This feature introduces some topics from Decision Mathematics

Plotting Graphs

Age 16 to 18
Challenge Level

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

Freedom and Constraints

Age 11 to 16

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

Exploring Dotty Grids at Upper Secondary

Age 14 to 18
Challenge Level

What advanced mathematics can you do on a dotty grid?

Exploring Mathematics on Dotty Grids

Age 11 to 16

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

Making Sense of Data

Age 14 to 18

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

Let's Use Statistics

Age 11 to 16

Use your statistical skills to answer some interesting questions.

How Numbers Behave

Age 11 to 14

By exploring these problems you'll gain a greater appreciation of the importance of place value.

How Powers Behave

Age 16 to 18

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

Working with Vectors

Age 14 to 18
Challenge Level

Learn about vectors and how to use them to solve problems

Positives and Negatives

Age 11 to 14
Challenge Level

Learn all about positive and negative numbers!

Visualising and Representing Complex Numbers

Age 16 to 18
Challenge Level

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

Seeing Mathematically

Age 11 to 14
Challenge Level

Creating mental images is a powerful way to solve maths problems.

All about Area and Perimeter

Age 11 to 14
Challenge Level

Working on these problems will offer you insights into how areas and perimeters are related.

Integration as Area

Age 16 to 18
Challenge Level

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

Why Work Systematically?

Age 11 to 14
Challenge Level

Systematic approaches will offer the most efficient routes to the solutions of these tasks.

The Value of Working Systematically

Age 14 to 18

These problems are best solved using systematic approaches.

Making Sense of Statistics

Age 14 to 18
Challenge Level

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

Reasoning with Data

Age 11 to 16
Challenge Level

These resources are designed to get you thinking about data handling.

Sequences and Series

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.

Reasoning with Numbers

Age 11 to 16
Challenge Level

These resources are designed to get you thinking about reasoning with numbers.

Reasoning Geometrically

Age 11 to 16
Challenge Level

These resources are designed to get you thinking about geometrical reasoning.

Patterns in Number Sequences

Age 11 to 16
Challenge Level

These resources are designed to get you thinking about number sequences and patterns.