Complex Adventures
Stage: 4 and 5 Challenge Level: 
Find out about Complex Numbers and their applications.
What If...?
Stage: 3 and 4 Challenge Level:
These problems will make you say "I wonder what happens if...?"
Inverse Problems
Stage: 4 and 5 Challenge Level:
If you know the output, how can you work out the input?
Playful Puzzling
Stage: 3 and 4 Challenge Level:
We hope you enjoy being mathematically playful with these puzzling problems.
Areas and Integrals
Stage: 4 and 5 Challenge Level:
This feature explores problems connected with area and integration
Area Intrigue
Stage: 3 and 4 Challenge Level:
These problems invite you to think about area in unusual ways.
Stretchy Calculus
Stage: 5 Challenge Level:
Resources to help you think about calculus and transformations
Seeing Is Believing
Stage: 3 and 4 Challenge Level:
Some mathematical results can be proved beautifully with just a simple diagram...
Freedom and Constraints
Stage: 3 and 4
Probability and Evidence
Stage: 3 and 4 Challenge Level:
These resources explore probability in medicine and the law.
Should I Risk It?
Stage: 3 and 4 Challenge Level:
Explore how to use statistics and probability to make informed decisions
Identifying Trigonometry
Stage: 5 Challenge Level:
These CMEP resources explore the use of trigonometric identities and other trig features
Logic Gates and Circuits
Stage: 5 Challenge Level:
Use your logical skills to make sense of these circuits and logic gate problems.
Finding Your Feet
Stage: 5 Challenge Level:
Problems to help you get started with higher mathematics courses
Graphs and Networks
Stage: 4 and 5 Challenge Level:
Be playful with graphs and networks, and see what theorems you can discover!
Playing with Polygons
Stage: 3 and 4 Challenge Level:
Be playful with polygons. What patterns can you find?
Curvy Calculus
Stage: 5 Challenge Level:
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
Circular Arguments
Stage: 5 Challenge Level:
This CMEP feature explores the properties of circles and triangles
Surprised by Shapes
Stage: 3 and 4 Challenge Level:
Explore some shape problems and make some discoveries!
Logs by the Fire
Stage: 5 Challenge Level:
Try some of our CMEP resources around the theme of logarithms.
Curves, Tangents and Asymptotes
Stage: 5 Challenge Level:
Explore and sketch curves with different properties.
Thinking Functionally
Stage: 5 Challenge Level:
Try our new CMEP tasks to help you to think functionally!
Addicted to Addition
Stage: 3 and 4 Challenge Level:
Who would have thought that addition could be so intriguing?
Digging Deeper Into Quadratics
Stage: 5 Challenge Level:
Try some of our CMEP resources around the theme of quadratics.
Making Decisions
Stage: 5 Challenge Level:
This feature introduces some topics from Decision Mathematics
Plotting Graphs
Stage: 5 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
Stage: 4 and 5 Challenge Level:
What advanced mathematics can you do on a dotty grid?
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:
Learn about vectors and how to use them to solve problems
Visualising and Representing Complex Numbers
Stage: 5 Challenge Level:
What are complex numbers, and how can we represent them?
Seeing Mathematically
Stage: 3 Challenge Level:
Creating mental images is a powerful way to solve maths problems.
All about Area and Perimeter
Stage: 3 Challenge Level:
Working on these problems will offer you insights into how areas and perimeters are related.
Integration as Area
Stage: 5 Challenge Level:
These problems invite you to explore integration as area, and use area integrals to solve problems.
Why Work Systematically?
Stage: 3 Challenge Level:
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:
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:
These resources are designed to get you thinking about data handling.
Sequences and Series
Challenge Level:
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:
These resources are designed to get you thinking about reasoning with numbers.
Reasoning Geometrically
Stage: 3 and 4 Challenge Level:
These resources are designed to get you thinking about geometrical reasoning.
Patterns in Number Sequences
Stage: 3 and 4 Challenge Level:
These resources are designed to get you thinking about number sequences and patterns.
