# Past Features

### Imagine This!

##### Challenge Level:

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

### Areas and Integrals

##### Stage: 4 and 5 Challenge Level:

This feature explores problems connected with area and integration

### Inequality Extravaganza

##### Stage: 5 Challenge Level:

A selection of challenges about inequalities

### Making Connections

##### Stage: 5 Challenge Level:

Can you connect different areas of maths?

### Get Functioning

##### Stage: 5 Challenge Level:

Transpose and compose functions

### Underground Mathematics

##### Stage: 5 Challenge Level:

Check out the new Underground Maths website

### Powerful Logs

##### Stage: 5 Challenge Level:

Explore exponentials and logarithms

### 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.

### Graphs and Networks

##### Stage: 4 and 5 Challenge Level:

Be playful with graphs and networks, and see what theorems you can discover!

### 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

### Time to Be Irrational!

##### Stage: 5 Challenge Level:

There's nothing irrational about these problems!

### Circular Arguments

##### Stage: 5 Challenge Level:

This CMEP feature explores the properties of circles and triangles

### 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 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?

### 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?

### Integration as Area

##### Stage: 5 Challenge Level:

These problems invite you to explore integration as area, and use area integrals to solve problems.

### 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.

### 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.