Past Secondary Teacher Features

Visualising Quadrilaterals

Age 11 to 16

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

Christmas Conundrums 2022

Age 14 to 18

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

Place Value Challenges

Age 11 to 16

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

A Quartet of Tetrahedra

Age 14 to 18

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

Playing with Mathematical Sudokus

Age 11 to 16

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

Starting the Term with Rich Tasks

Age 11 to 16

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

Symmetry, Substitutions and Surprises

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. 

Efficient and Elegant Algebra

Age 11 to 18

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

Logically Speaking

Age 11 to 18

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

Circular Logic

Age 11 to 18

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

Proof for All (st)ages

Age 11 to 18

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

Climate Change, Carbon Footprints and Maths

Age 11 to 18

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

Networks and Graph Theory

Age 11 to 18
Challenge Level

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

Planning Strategically

Age 11 to 18

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

Properties of Numbers

Age 11 to 16

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

Modular Arithmetic

Age 16 to 18

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

Some Problems in Number Theory

Age 14 to 18

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

Numerical Explorations

Age 11 to 16

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.

Exploring Graphs

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

Curve Sketching Feature

Age 16 to 18

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

Chance and Probability

Age 11 to 16
Challenge Level

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

Nurturing Successful Mathematicians

Age 11 to 18
Challenge Level

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

Maths at Home

Age 11 to 18
Challenge Level

Tasks to support remote learning

Flexible Approaches to Problem Solving

Age 11 to 18
Challenge Level

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

Representing and Comparing Quantities

Age 11 to 16
Challenge Level

How do we write numbers in different forms?

Visualising with Cuisenaire

Age 11 to 16
Challenge Level

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

From Exploration to Explanation

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

Using Wonder to Promote Curiosity

Age 11 to 18

The magic of mathematics

Understanding Inverse Relationships

Age 11 to 18
Challenge Level

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

Evaluating Methods, Improving Solutions

Age 11 to 18
Challenge Level

Encouraging students to reflect on their own and others' solutions

Multiple Representations

Age 11 to 18
Challenge Level

Using different representations helps students to think mathematically.

Engaging Interactively

Age 11 to 18
Challenge Level

Resources that make use of digital manipulatives

Introducing Mathematical Sudokus

Age 11 to 16

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

To Boldly Go...

Age 11 to 18
Challenge Level

Encourage your students to venture into new territory.

A Second Look

Age 11 to 18
Challenge Level

Take another look at familiar situations.

Surprise!

Age 11 to 18
Challenge Level

Curiosity is triggered when something unexpected happens

Resilience and the Growth Zone

Age 14 to 18
Challenge Level

Advice and problems to help your students become more resilient.

I Wonder... What If...?

Age 11 to 16
Challenge Level

Problems to provoke curiosity and questioning

Codes and Inverses

Age 11 to 18

Codebreaking as a hook to help develop mathematical skills.

Mathematical Etudes and Purposeful Practice

Age 11 to 18
Challenge Level

Developing fluency, provoking reasoning.

Play, Persevere, Succeed

Age 11 to 16
Challenge Level

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

Areas of Interest

Age 11 to 18
Challenge Level

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

Curiously Quadratic

Age 11 to 18
Challenge Level

Who said teaching algebra had to be dull?

Featuring Our Short Problems

Age 11 to 16
Challenge Level

Short problems ideal for revision and assessment

Hidden Treasures

Age 11 to 16
Challenge Level

Try these treasures to celebrate NRICH's 20th birthday

Angles and Polygons

Age 11 to 16
Challenge Level

Students can discover angle relationships

Exploring Our Number System

Age 11 to 16
Challenge Level

Simple starting points in Number Theory

Maths for Champions

Age 11 to 16
Challenge Level

Can you win the Maths Olympics?

Seeing Is Believing

Age 11 to 16
Challenge Level

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

Underground Mathematics

Age 16 to 18
Challenge Level

Check out the new Underground Maths website

Freedom and Constraints

Age 11 to 16

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

Number Patterns and Infinity

Age 11 to 16

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

Probability - It's Deadly Serious!

Age 11 to 18
Challenge Level

Getting probability right matters!

Teaching Probability - Episteme Resources

Age 11 to 16
Challenge Level

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

Introducing CMEP

Age 16 to 18

A selection of resources from the Cambridge Mathematics Education Project

Enriching the Secondary Curriculum

Age 11 to 16
Challenge Level

Using NRICH tasks to enrich your students' mathematical experience

Freedom and Constraints in the Classroom

Challenge your students to push the boundaries!

Dotty Grids - an Opportunity for Classroom Exploration

Age 11 to 18
Challenge Level

What maths can your students discover on dotty grids?

Statistical Investigations

Age 11 to 18
Challenge Level

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

Place Value and Powers

Age 11 to 18

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

Working with Directed Numbers

Age 11 to 14
Challenge Level

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

Great Expectations

Age 11 to 16
Challenge Level

Learning about Probability through problem solving

Introducing Complex Numbers

Age 16 to 18
Challenge Level

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

Working with Mental Images

Age 11 to 18
Challenge Level

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

From Area Into Integration

Age 11 to 18
Challenge Level

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

Teaching to Reason with Numbers

Age 11 to 18
Challenge Level

These classroom resources aim to help students reason with numbers.

Teaching Geometrical Reasoning

Age 11 to 18

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

Data and Statistics

Age 11 to 18
Challenge Level

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

Exceptional Mathematics - a Research Project

Age 11 to 18
Challenge Level

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

Patterns in Number Sequences

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

Developing Systematic Approaches

Age 11 to 14
Challenge Level

Teacher resources on working systematically at secondary level