Past Features

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

Logic Gates and Circuits

Age 16 to 18 Challenge Level:

Use your logical skills to make sense of these circuits and logic gate problems.

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.