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.
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.