Past Features

Look Again

Age 11 to 18

Think you know what's going on? Look again!

Tales of the Unexpected

Age 11 to 18 Challenge Level:

Problems to astonish and amaze

Stick at It!

Age 14 to 18 Challenge Level:

When you get stuck, stick at it!

Complex Adventures

Age 14 to 18 Challenge Level:

Find out about Complex Numbers and their applications.

Inverse Problems

Age 14 to 18 Challenge Level:

If you know the output, how can you work out the input?

Root to Success

Age 16 to 18 Challenge Level:

Surds are surprising!

Imagine This!

What if we could find the square root of negative numbers?

Areas and Integrals

Age 14 to 18 Challenge Level:

This feature explores problems connected with area and integration

Quadratic Queries

Age 14 to 18

Can you make sense of these questions about quadratics?

Inequality Extravaganza

Age 16 to 18 Challenge Level:

A selection of challenges about inequalities

Stretchy Calculus

Age 16 to 18 Challenge Level:

Resources to help you think about calculus and transformations

Making Connections

Age 16 to 18 Challenge Level:

Can you connect different areas of maths?

Get Functioning

Age 16 to 18 Challenge Level:

Transpose and compose functions

Pick 'n' Mix

Age 16 to 18 Challenge Level:

Stretch your mathematical muscles!

Underground Mathematics

Age 16 to 18 Challenge Level:

Check out the new Underground Maths website

Powerful Logs

Age 16 to 18 Challenge Level:

Explore exponentials and logarithms

Identifying Trigonometry

Age 16 to 18 Challenge Level:

These CMEP resources explore the use of trigonometric identities and other trig features

Logic Gates and Circuits

Age 16 to 18 Challenge Level:

Use your logical skills to make sense of these circuits and logic gate problems.

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!

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!

Tricky Trigonometry

Age 16 to 18

Try these tricky trigonometry tasks.

Circular Arguments

Age 16 to 18 Challenge Level:

This CMEP feature explores the properties of circles and triangles

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!

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 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

Visualising and Representing Complex Numbers

Age 16 to 18 Challenge Level:

What are complex numbers, and how can we represent them?

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.

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.

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.