Past secondary teacher features

These tasks, chosen from our 2023 summer challenges, are particularly suitable for the start of the school year, when you are getting to know your students.

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.

The problems and games in this feature will challenge students to visualise quadrilaterials and may help them gain a better understanding of their properties.

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

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

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

These tasks offer an engaging way for students to deepen their understanding of place value.

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

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

These tasks, chosen from our 2022 summer challenges, are particularly suitable for the start of term, when you are getting to know your students.

In this feature you will be challenged to derive elegant and efficient solutions to problems which, at first sight, might seem very difficult. 

We hope that students working on these problems will enjoy discovering that algebra can be a versatile tool for solving a range of problems.

Students are invited to explore a variety of problems and are then challenged to construct convincing arguments to explain what they have discovered.

These problems offer students the chance to investigate geometrical properties, make conjectures and create convincing mathematical proofs.

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

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

This feature introduces students to the world of networks and graph theory and their applications.

The activities in this feature offer a variety of playful contexts in which students are required to plan ahead and analyse the outcomes.

The problems in this feature will give students the chance to investigate the properties of numbers in a variety of contexts.

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

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

This feature offers students some interesting problems that introduce them to number theory, where they are able to apply some standard algebraic techniques and pictorial representations.

A chance to consider the equations of straight line graphs before moving on to consider the properties of quadratics and cubics

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

This feature is intended to help students understand how probability can help them make better choices.

We share a model for reflecting on what makes a good mathematician

Tasks to support remote learning

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

How do we write numbers in different forms?

How can Cuisenaire rods be used to develop visualising and reasoning?

Problems designed to inspire students to explore and provoke a need to explain

The magic of mathematics

The problems in this feature encourage students to consider inverses and working backwards to solve problems.

Encouraging students to reflect on their own and others' solutions

Using different representations helps students to think mathematically.

Resources that make use of digital manipulatives

In this feature, we introduce our Mathdokus, a mathematical variation of the well-known Sudoku

Encourage your students to venture into new territory.

Take another look at familiar situations.

Curiosity is triggered when something unexpected happens

Advice and problems to help your students become more resilient.

Problems to provoke curiosity and questioning

Codebreaking as a hook to help develop mathematical skills.

Developing fluency, provoking reasoning.

Invite your students to be playful with this selection of numerical tasks.

In this feature, we offer a selection of rich problems about area for use in all secondary classrooms.

Who said teaching algebra had to be dull?

Short problems ideal for revision and assessment

Try these treasures to celebrate NRICH's 20th birthday

Students can discover angle relationships

Simple starting points in Number Theory

Can you win the Maths Olympics?

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

Check out the new Underground Maths website

There's more room to manoeuvre than you might initially imagine!

See some Number Patterns problems from Wild Maths and make your classroom more creative.

Getting probability right matters!

Try a selection of problems from Cambridge University's epiSTEMe project

A selection of resources from the Cambridge Mathematics Education Project

Using NRICH tasks to enrich your students' mathematical experience

Challenge your students to push the boundaries!

What maths can your students discover on dotty grids?

A chance for students to use statistical skills to answer some interesting questions.

These problems are designed to help students develop an appreciation for the importance of place value and powers.

These tasks will support your students' understanding of positive and negative numbers.

Learning about Probability through problem solving

These resources are designed to introduce students to complex numbers in an exploratory way.

Challenge your students to develop their visualisation skills by working on these tasks

This collection offers resources for teaching perimeter, area, volume, and finally integration.

These classroom resources aim to help students reason with numbers.

These classroom resources aim to help students think about geometrical reasoning.

These problems are designed to help Stage 3, 4 and 5 students to handle data and work with statistics.

Read about Steve Hewson's research project on exceptional mathematicians.

These problems introduce number sequences and representations, and summation of series.

Teacher resources on working systematically at secondary level