Past Features

Tales of the Unexpected

Stage: 3, 4 and 5 Challenge Level: Challenge Level:1

Problems to astonish and amaze

Stick at It!

Stage: 4 and 5 Challenge Level: Challenge Level:1

When you get stuck, stick at it!

Get Stuck...in

Stage: 3 and 4 Challenge Level: Challenge Level:1

Challenging problems to get stuck into!

Complex Adventures

Stage: 4 and 5 Challenge Level: Challenge Level:1

Find out about Complex Numbers and their applications.

What If...?

Stage: 3 and 4 Challenge Level: Challenge Level:1

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

Inverse Problems

Stage: 4 and 5 Challenge Level: Challenge Level:1

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

Cracking Codes

Stage: 3 and 4

Learn about the maths you need to become a codebreaker!

Root to Success

Stage: 5 Challenge Level: Challenge Level:1

Surds are surprising!

Sharpen Your Skills

Stage: 3 and 4 Challenge Level: Challenge Level:1

Practice makes perfect.

Imagine This!

Challenge Level: Challenge Level:1

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

Playful Puzzling

Stage: 3 and 4 Challenge Level: Challenge Level:1

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

Areas and Integrals

Stage: 4 and 5 Challenge Level: Challenge Level:1

This feature explores problems connected with area and integration

Area Intrigue

Stage: 3 and 4 Challenge Level: Challenge Level:1

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

Quadratic Queries

Stage: 4 and 5

Can you make sense of these questions about quadratics?

Factorise This!

Stage: 3 and 4 Challenge Level: Challenge Level:1

Explore quadratics and the power of factorisation

Inequality Extravaganza

Stage: 5 Challenge Level: Challenge Level:1

A selection of challenges about inequalities

Short Problem Showcase

Stage: 3 and 4 Challenge Level: Challenge Level:1

Test yourself with these short challenges

Stretchy Calculus

Stage: 5 Challenge Level: Challenge Level:1

Resources to help you think about calculus and transformations

Hidden Treasures

Stage: 3 and 4 Challenge Level: Challenge Level:1

Try these treasures to celebrate NRICH's birthday!

Making Connections

Stage: 5 Challenge Level: Challenge Level:1

Can you connect different areas of maths?

Exploring Our Number System

Stage: 3 and 4 Challenge Level: Challenge Level:1

Simple starting points in Number Theory

Get Functioning

Stage: 5 Challenge Level: Challenge Level:1

Transpose and compose functions

Maths for Champions

Stage: 3 and 4 Challenge Level: Challenge Level:1

Can you win the Maths Olympics?

Pick 'n' Mix

Stage: 5 Challenge Level: Challenge Level:1

Stretch your mathematical muscles!

Seeing Is Believing

Stage: 3 and 4 Challenge Level: Challenge Level:1

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

Underground Mathematics

Stage: 5 Challenge Level: Challenge Level:1

Check out the new Underground Maths website

Number Patterns and Infinity

Stage: 3 and 4

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

Freedom and Constraints

Stage: 3 and 4

Powerful Logs

Stage: 5 Challenge Level: Challenge Level:1

Explore exponentials and logarithms

Probability and Evidence

Stage: 3 and 4 Challenge Level: Challenge Level:1

These resources explore probability in medicine and the law.

Should I Risk It?

Stage: 3 and 4 Challenge Level: Challenge Level:1

Explore how to use statistics and probability to make informed decisions

Identifying Trigonometry

Stage: 5 Challenge Level: Challenge Level:1

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

Logic Gates and Circuits

Stage: 5 Challenge Level: Challenge Level:1

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

Number Teasers

Stage: 3 and 4 Challenge Level: Challenge Level:1

Some tricky number teasers for you to puzzle over

Angles and Polygons

Stage: 3 and 4 Challenge Level: Challenge Level:1

Discover some angle relationships

Finding Your Feet

Stage: 5 Challenge Level: Challenge Level:1

Problems to help you get started with higher mathematics courses

Graphs and Networks

Stage: 4 and 5 Challenge Level: Challenge Level:1

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

Playing with Polygons

Stage: 3 and 4 Challenge Level: Challenge Level:1

Be playful with polygons. What patterns can you find?

Curvy Calculus

Stage: 5 Challenge Level: Challenge Level:1

These resources from CMEP explore some aspects of differentiation and integration

Transforming Ideas

Stage: 5

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

Sequence Surprises

Stage: 3 and 4 Challenge Level: Challenge Level:1

Be surprised by some familiar sequences.

Time to Be Irrational!

Stage: 5 Challenge Level: Challenge Level:1

There's nothing irrational about these problems!

Tricky Trigonometry

Stage: 5

Try these tricky trigonometry tasks.

All about Averages

Stage: 3 and 4

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

Circular Arguments

Stage: 5 Challenge Level: Challenge Level:1

This CMEP feature explores the properties of circles and triangles

Surprised by Shapes

Stage: 3 and 4 Challenge Level: Challenge Level:1

Explore some shape problems and make some discoveries!

Logs by the Fire

Stage: 5 Challenge Level: Challenge Level:1

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

Curves, Tangents and Asymptotes

Stage: 5 Challenge Level: Challenge Level:1

Explore and sketch curves with different properties.

Thinking Functionally

Stage: 5 Challenge Level: Challenge Level:1

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

Addicted to Addition

Stage: 3 and 4 Challenge Level: Challenge Level:1

Who would have thought that addition could be so intriguing?

Digging Deeper Into Quadratics

Stage: 5 Challenge Level: Challenge Level:1

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

Making Decisions

Stage: 5 Challenge Level: Challenge Level:1

This feature introduces some topics from Decision Mathematics

Plotting Graphs

Stage: 5 Challenge Level: Challenge Level:1

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

Freedom and Constraints

Stage: 3 and 4

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

Exploring Dotty Grids at Upper Secondary

Stage: 4 and 5 Challenge Level: Challenge Level:1

What advanced mathematics can you do on a dotty grid?

Exploring Mathematics on Dotty Grids

Stage: 3 and 4

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

Making Sense of Data

Stage: 4 and 5

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

Let's Use Statistics

Stage: 3 and 4

Use your statistical skills to answer some interesting questions.

How Numbers Behave

Stage: 3

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

How Powers Behave

Stage: 5

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

Working with Vectors

Stage: 4 and 5 Challenge Level: Challenge Level:1

Learn about vectors and how to use them to solve problems

Positives and Negatives

Stage: 3 Challenge Level: Challenge Level:1

Learn all about positive and negative numbers!

Visualising and Representing Complex Numbers

Stage: 5 Challenge Level: Challenge Level:1

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

Seeing Mathematically

Stage: 3 Challenge Level: Challenge Level:1

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

All about Area and Perimeter

Stage: 3 Challenge Level: Challenge Level:1

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

Integration as Area

Stage: 5 Challenge Level: Challenge Level:1

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

Why Work Systematically?

Stage: 3 Challenge Level: Challenge Level:1

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

The Value of Working Systematically

Stage: 4 and 5

These problems are best solved using systematic approaches.

Making Sense of Statistics

Stage: 4 and 5 Challenge Level: Challenge Level:1

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

Reasoning with Data

Stage: 3 and 4 Challenge Level: Challenge Level:1

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

Sequences and Series

Challenge Level: Challenge Level:1

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

Stage: 3 and 4 Challenge Level: Challenge Level:1

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

Reasoning Geometrically

Stage: 3 and 4 Challenge Level: Challenge Level:1

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

Patterns in Number Sequences

Stage: 3 and 4 Challenge Level: Challenge Level:1

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