Past Secondary Student Features
Matrices
Are you ready to enter the matrix? In this feature you will discover how matrices can be multiplied, explore how they can be used to represent transformations, use them to model probability problems and explore four dimensional numbers.
How Well Do You Know Your Quadrilaterals?
The problems and games in this feature will challenge you to visualise quadrilaterials.
STEP on Up
In this feature there are 4 problems based on STEP questions, all of which involve number theory.
Trigonometry Feature
In this feature we are exploring and proving some results about tetrahedrons.
Christmas Conundrums 2022
In this feature we are presenting problems with a festive twist.
A Quartet of Tetrahedra
In this feature we are exploring and proving some results about tetrahedrons.
Playing with Mathematical Sudokus
In this feature, we challenge you to solve our Mathdokus, a mathematical variation of the well-known Sudoku
Symmetry, Substitutions and Surprises
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
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?
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?
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
The problems in this feature offer you the chance to explore geometrical properties, and then challenge you to create clear, rigorous proofs.
Geometrical Reasoning
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
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?
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?
The problems in this feature will encourage you to explore the impact that your lifestyle choices have on the environment.
Maths and Climate Change
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
The resources in this feature introduce you to the world of networks and graph theory.
Graph Theory and Networks
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
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?
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
The problems in this feature will give you the chance to investigate the properties of numbers in a variety of contexts.
Modular Arithmetic
Enter the world of modular arithmetic and discover the secrets of public key cryptography.
Adventures with Numbers
This feature introduces you to number theory, a rich source of interesting problems which can lead to surprising results.
Some Problems in Number Theory
Number theory is a rich source of interesting problems which can lead to surprising results.
Uphill and Downhill
A chance to consider the equations of straight line graphs before moving on to consider the properties of quadratics and cubics.
Curve Sketching Feature
Curve sketching can be a very useful tool when you are solving equations or inequalities.
Take a Chance
Probability can help you make better choices and challenge commonly-held misconceptions.
Can You Think Flexibly?
The problems in this feature challenge you to explore different ways of arriving at a solution
Becoming a Better Mathematician
What makes a good mathematician? This feature will help you to build your mathematical muscles.
Comparing and Matching
A chance to compare numbers expressed in different ways, and to use these different representations in calculations.
Picturing with Rods
Use Cuisenaire rods to help you visualise patterns and relationships with numbers
Getting Started, Getting Stuck
Explore and Explain
Explore these problems and explain the mathematical ideas you discover!
Working Backwards, Leaping Forwards
Working backwards can help you to make great leaps forwards!
Many Ways to See
These problems can be represented in many different ways!
Complex Adventures
Find out about Complex Numbers and their applications.
What If...?
These problems will make you say "I wonder what happens if...?"
Inverse Problems
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
We hope you enjoy being mathematically playful with these puzzling problems.
Areas and Integrals
This feature explores problems connected with area and integration
Area Intrigue
These problems invite you to think about area in unusual ways.
Stretchy Calculus
Resources to help you think about calculus and transformations
Seeing Is Believing
Some mathematical results can be proved beautifully with just a simple diagram...
Freedom and Constraints
Probability and Evidence
These resources explore probability in medicine and the law.
Should I Risk It?
Explore how to use statistics and probability to make informed decisions
Identifying Trigonometry
These CMEP resources explore the use of trigonometric identities and other trig features
Finding Your Feet
Problems to help you get started with higher mathematics courses
Graphs and Networks
Be playful with graphs and networks, and see what theorems you can discover!
Playing with Polygons
Be playful with polygons. What patterns can you find?
Curvy Calculus
These resources from CMEP explore some aspects of differentiation and integration
Transforming Ideas
In this feature, explore what happens to functions when you transform their graphs
Circular Arguments
This CMEP feature explores the properties of circles and triangles
Surprised by Shapes
Explore some shape problems and make some discoveries!
Logs by the Fire
Try some of our CMEP resources around the theme of logarithms.
Curves, Tangents and Asymptotes
Explore and sketch curves with different properties.
Thinking Functionally
Try our new CMEP tasks to help you to think functionally!
Addicted to Addition
Who would have thought that addition could be so intriguing?
Digging Deeper Into Quadratics
Try some of our CMEP resources around the theme of quadratics.
Making Decisions
This feature introduces some topics from Decision Mathematics
Plotting Graphs
You can get a great feel for functions by sketching their graphs or using graph plotting software...
Exploring Dotty Grids at Upper Secondary
What advanced mathematics can you do on a dotty grid?
Making Sense of Data
What stories do complicated data sets tell us? How can we present the information clearly?
