Explore and Explain
Age 11 to 18
Explore these problems and explain the mathematical ideas you discover!
Working Backwards, Leaping Forwards
Age 11 to 18 Challenge Level:
Working backwards can help you to make great leaps forwards!
Many Ways to See
Age 11 to 18 Challenge Level:
These problems can be represented in many different ways!
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?
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.
Stretchy Calculus
Age 16 to 18 Challenge Level:
Resources to help you think about calculus and transformations
Seeing Is Believing
Age 11 to 16 Challenge Level:
Some mathematical results can be proved beautifully with just a simple diagram...
Freedom and Constraints
Age 11 to 16
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
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
Time to Be Irrational!
Age 16 to 18 Challenge Level:
There's nothing irrational about these problems!
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...
Exploring Dotty Grids at Upper Secondary
Age 14 to 18 Challenge Level:
What advanced mathematics can you do on a dotty grid?
Making Sense of Data
Age 14 to 18
What stories do complicated data sets tell us? How can we present the information clearly?
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.
NRICH is part of the family of activities in the Millennium Mathematics Project.