Christmas Conundrums 2022
Age 14 to 18
In this feature we are presenting problems with a festive twist.
A Quartet of Tetrahedra
Age 14 to 18
In this feature we are exploring and proving some results about tetrahedrons.
Playing with Mathematical Sudokus
Age 11 to 16
In this feature, we challenge you to solve our Mathdokus, a mathematical variation of the well-known Sudoku
Symmetry, Substitutions and Surprises
Age 14 to 18
In this feature you will be challenged to derive elegant and efficient solutions to problems which, at first sight, might seem very difficult.
Amazing Algebra
Age 11 to 16
We hope that these problems will help you appreciate that algebra can be a versatile tool for solving a range of problems.
To Iff or Not to Iff?
Age 14 to 18
This feature will introduce the symbols $\implies$ and $\iff$ and challenge you to reason logically and create true statements using these symbols.
Are You Sure?
Age 11 to 16
In this feature you are invited to explore a variety of problems, and are then asked to construct convincing arguments to explain what you have discovered.
The Art of Deduction
Age 14 to 18
The problems in this feature offer you the chance to explore geometrical properties, and then challenge you to create clear, rigorous proofs.
Geometrical Reasoning
Age 11 to 16
The problems in this feature offer you the chance to explore geometrical properties, make conjectures and create proofs to show that these are always true.
Sums, Squares and Substantiation
Age 14 to 18
The problems in this feature challenge you to create convincing arguments or "proofs", and to identify where the logic breaks down in some "dodgy proofs".
Can You Prove It?
Age 11 to 16
The problems in this feature offer you the chance to identify number patterns, make conjectures and create convincing mathematical proofs.
Do You Know Your Carbon Footprint?
Age 11 to 16
The problems in this feature will encourage you to explore the impact that your lifestyle choices have on the environment.
Maths and Climate Change
Age 14 to 18
The problems in this feature will allow you to explore the impact of lifestyle choices and help you gain a better understanding of the contributors to global emissions.
Networks
Age 11 to 16
The resources in this feature introduce you to the world of networks and graph theory.
Graph Theory and Networks
Age 14 to 18
The resources in this feature have been designed to give you an introduction to the world of graph theory and networks, and to their applications.
Planning Ahead
Age 16 to 18
Challenge Level
This collection of activities offers you a variety of playful contexts in which you will be challenged to plan ahead and analyse the outcomes.
Can You Plan Strategically?
Age 11 to 18
This collection of activities offers you a variety of playful contexts in which you will be challenged to plan ahead and analyse the outcomes.
Around and Around
Age 11 to 16
The problems in this feature will give you the chance to investigate the properties of numbers in a variety of contexts.
Modular Arithmetic
Age 16 to 18
Enter the world of modular arithmetic and discover the secrets of public key cryptography.
Adventures with Numbers
Age 11 to 16
This feature introduces you to number theory, a rich source of interesting problems which can lead to surprising results.
Some Problems in Number Theory
Age 14 to 18
Number theory is a rich source of interesting problems which can lead to surprising results.
Uphill and Downhill
Age 11 to 16
A chance to consider the equations of straight line graphs before moving on to consider the properties of quadratics and cubics.
Curve Sketching Feature
Age 16 to 18
Curve sketching can be a very useful tool when you are solving equations or inequalities.
Take a Chance
Age 11 to 16
Challenge Level
Probability can help you make better choices and challenge commonly-held misconceptions.
Can You Think Flexibly?
Age 11 to 16
Challenge Level
The problems in this feature challenge you to explore different ways of arriving at a solution
Becoming a Better Mathematician
Age 11 to 18
Challenge Level
What makes a good mathematician? This feature will help you to build your mathematical muscles.
Comparing and Matching
Age 11 to 16
Challenge Level
A chance to compare numbers expressed in different ways, and to use these different representations in calculations.
Picturing with Rods
Age 11 to 16
Challenge Level
Use Cuisenaire rods to help you visualise patterns and relationships with numbers
Getting Started, Getting Stuck
Age 11 to 18
Challenge Level
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
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
