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### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Past Secondary Student Features

### Matrices

### How Well Do You Know Your Quadrilaterals?

### STEP on Up

### Trigonometry Feature

### Christmas Conundrums 2022

### A Quartet of Tetrahedra

### Playing with Mathematical Sudokus

### Symmetry, Substitutions and Surprises

### Amazing Algebra

### To Iff or Not to Iff?

### Are You Sure?

### The Art of Deduction

### Geometrical Reasoning

### Sums, Squares and Substantiation

### Can You Prove It?

### Do You Know Your Carbon Footprint?

### Maths and Climate Change

### Networks

### Graph Theory and Networks

### Planning Ahead

### Can You Plan Strategically?

### Around and Around

### Modular Arithmetic

### Adventures with Numbers

### Some Problems in Number Theory

### Uphill and Downhill

### Curve Sketching Feature

### Take a Chance

### Can You Think Flexibly?

### Becoming a Better Mathematician

### Comparing and Matching

### Picturing with Rods

### Getting Started, Getting Stuck

### Explore and Explain

### Working Backwards, Leaping Forwards

### Many Ways to See

### Complex Adventures

### What If...?

### Inverse Problems

### Imagine This!

### Playful Puzzling

### Areas and Integrals

### Area Intrigue

### Stretchy Calculus

### Seeing Is Believing

### Freedom and Constraints

### Probability and Evidence

### Should I Risk It?

### Identifying Trigonometry

### Finding Your Feet

### Graphs and Networks

### Playing with Polygons

### Curvy Calculus

### Transforming Ideas

### Circular Arguments

### Surprised by Shapes

### Logs by the Fire

### Curves, Tangents and Asymptotes

### Thinking Functionally

### Addicted to Addition

### Digging Deeper Into Quadratics

### Making Decisions

### Plotting Graphs

### Exploring Dotty Grids at Upper Secondary

### Making Sense of Data

Links to the University of Cambridge website
Links to the NRICH website Home page

Nurturing young mathematicians: teacher webinars

30 April (Primary), 1 May (Secondary)

30 April (Primary), 1 May (Secondary)

Or search by topic

Age 14 to 18

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.

Age 11 to 16

The problems and games in this feature will challenge you to visualise quadrilaterials.

Age 14 to 18

In this feature there are 4 problems based on STEP questions, all of which involve number theory.

Age 14 to 18

In this feature we are exploring and proving some results about tetrahedrons.

Age 14 to 18

In this feature we are presenting problems with a festive twist.

Age 14 to 18

In this feature we are exploring and proving some results about tetrahedrons.

Age 11 to 16

In this feature, we challenge you to solve our Mathdokus, a mathematical variation of the well-known Sudoku

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.

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.

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.

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.

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.

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.

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".

Age 11 to 16

The problems in this feature offer you the chance to identify number patterns, make conjectures and create convincing mathematical proofs.

Age 11 to 16

The problems in this feature will encourage you to explore the impact that your lifestyle choices have on the environment.

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.

Age 11 to 16

The resources in this feature introduce you to the world of networks and graph theory.

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.

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.

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.

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.

Age 16 to 18

Enter the world of modular arithmetic and discover the secrets of public key cryptography.

Age 11 to 16

This feature introduces you to number theory, a rich source of interesting problems which can lead to surprising results.

Age 14 to 18

Number theory is a rich source of interesting problems which can lead to surprising results.

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.

Age 16 to 18

Curve sketching can be a very useful tool when you are solving equations or inequalities.

Age 11 to 16

Challenge Level

Probability can help you make better choices and challenge commonly-held misconceptions.

Age 11 to 16

Challenge Level

The problems in this feature challenge you to explore different ways of arriving at a solution

Age 11 to 18

Challenge Level

What makes a good mathematician? This feature will help you to build your mathematical muscles.

Age 11 to 16

Challenge Level

A chance to compare numbers expressed in different ways, and to use these different representations in calculations.

Age 11 to 16

Challenge Level

Use Cuisenaire rods to help you visualise patterns and relationships with numbers

Age 11 to 18

Challenge Level

Age 11 to 18

Explore these problems and explain the mathematical ideas you discover!

Age 11 to 18

Challenge Level

Working backwards can help you to make great leaps forwards!

Age 11 to 18

Challenge Level

These problems can be represented in many different ways!

Age 14 to 18

Challenge Level

Find out about Complex Numbers and their applications.

Age 11 to 16

Challenge Level

These problems will make you say "I wonder what happens if...?"

Age 14 to 18

Challenge Level

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

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

Age 11 to 16

Challenge Level

We hope you enjoy being mathematically playful with these puzzling problems.

Age 14 to 18

Challenge Level

This feature explores problems connected with area and integration

Age 11 to 16

Challenge Level

These problems invite you to think about area in unusual ways.

Age 16 to 18

Challenge Level

Resources to help you think about calculus and transformations

Age 11 to 16

Challenge Level

Some mathematical results can be proved beautifully with just a simple diagram...

Age 11 to 16

Age 11 to 16

Challenge Level

These resources explore probability in medicine and the law.

Age 11 to 16

Challenge Level

Explore how to use statistics and probability to make informed decisions

Age 16 to 18

Challenge Level

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

Age 16 to 18

Challenge Level

Problems to help you get started with higher mathematics courses

Age 14 to 18

Challenge Level

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

Age 11 to 16

Challenge Level

Be playful with polygons. What patterns can you find?

Age 16 to 18

Challenge Level

These resources from CMEP explore some aspects of differentiation and integration

Age 16 to 18

In this feature, explore what happens to functions when you transform their graphs

Age 16 to 18

Challenge Level

This CMEP feature explores the properties of circles and triangles

Age 11 to 16

Challenge Level

Explore some shape problems and make some discoveries!

Age 16 to 18

Challenge Level

Try some of our CMEP resources around the theme of logarithms.

Age 16 to 18

Challenge Level

Explore and sketch curves with different properties.

Age 16 to 18

Challenge Level

Try our new CMEP tasks to help you to think functionally!

Age 11 to 16

Challenge Level

Who would have thought that addition could be so intriguing?

Age 16 to 18

Challenge Level

Try some of our CMEP resources around the theme of quadratics.

Age 16 to 18

Challenge Level

This feature introduces some topics from Decision Mathematics

Age 16 to 18

Challenge Level

You can get a great feel for functions by sketching their graphs or using graph plotting software...

Age 14 to 18

Challenge Level

What advanced mathematics can you do on a dotty grid?

Age 14 to 18

What stories do complicated data sets tell us? How can we present the information clearly?