Working backwards can help you to make great leaps forwards!

These problems can be represented in many different ways!

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?

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.

Resources to help you think about calculus and transformations

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

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

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

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

There's nothing irrational about these problems!

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...

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?

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

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

Learn all about positive and negative numbers!

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

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

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

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

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

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.

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

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.

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

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

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

The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the
NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to
embed rich mathematical tasks into everyday classroom practice.

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NRICH is part of the family of activities in the Millennium Mathematics Project.

NRICH is part of the family of activities in the Millennium Mathematics Project.