Skip over navigation
Cambridge University Faculty of Mathematics NRich logo
menu search
  • Teachers expand_more
    • Early years
    • Primary
    • Secondary
    • Post-16
    • Events
    • Professional development
  • Students expand_more
    • Primary
    • Secondary
    • Post-16
  • Parents expand_more
    • Early Years
    • Primary
    • Secondary
    • Post-16
  • Problem-Solving Schools
  • About NRICH expand_more
    • About us
    • Impact stories
    • Support us
    • Our funders
    • Contact us
  • search

Or search by topic

Number and algebra

  • The Number System and Place Value
  • Calculations and Numerical Methods
  • Fractions, Decimals, Percentages, Ratio and Proportion
  • Properties of Numbers
  • Patterns, Sequences and Structure
  • Algebraic expressions, equations and formulae
  • Coordinates, Functions and Graphs

Geometry and measure

  • Angles, Polygons, and Geometrical Proof
  • 3D Geometry, Shape and Space
  • Measuring and calculating with units
  • Transformations and constructions
  • Pythagoras and Trigonometry
  • Vectors and Matrices

Probability and statistics

  • Handling, Processing and Representing Data
  • Probability

Working mathematically

  • Thinking mathematically
  • Developing positive attitudes
  • Cross-curricular contexts

Advanced mathematics

  • Decision Mathematics and Combinatorics
  • Advanced Probability and Statistics
  • Mechanics
  • Calculus

For younger learners

  • Early Years Foundation Stage

LP Student Latest

Latest

Past features

Digging Into Geometry

Dig deeply into geometrical ideas by having a go at the tasks in this Primary student feature.

Low Threshold High Ceiling Tasks

Try some Low Threshold High Ceiling Tasks.

NRICH at Stage 1

Choose a problem, investigation or game. Which is your favourite?

The Problem with Problem Solving at Stage 1

Choose one of the problems below.

Maths Explorers

Are you a maths detective? Choose a task and use your mathematical skills to solve the problem.

I Wonder ...?

We hope these tasks make you wonder what if ...?

I'm Stuck but ....!

These tasks are tough! Can you keep going and find a solution?

Surprise!

The activities in this feature for primary students may give a surprising outcome!

Take a Fresh Look

These problems invite you to look again at ideas you may think you know inside-out.

New to You?

We hope the new ideas and situations in these activities will make you curious to know more.

Shape Your Proof

In this feature for Primary students, we offer geometrical tasks which give you the chance to notice patterns, make conjectures and create convincing mathematical arguments.

Perusing Patterns

The tasks in this feature for Primary students will give you the chance to identify, copy and extend patterns, as well as to create your own, which will help you think mathematically.

I Like to Prove It!

The tasks in this feature give you the chance to identify patterns, make conjectures and then create mathematical arguments that will convince even a mathematician!

Is There a Better Way?

This feature includes tasks which have multiple routes to the solution. We hope this will make you curious about finding different approaches!

What Is the Question?

The tasks in this feature are all about practising times tables, but with a difference...

Mathematical Wizardry

The tasks in this feature all contain tricks that use maths, not magic, to make them work!

From Playing to Explaining

The tasks in this feature encourage you to play and explore, then think deeply about the mathematical ideas underneath.

Maths Outside

Take your mathematics outside with the tasks in this feature.

Playing with Cuisenaire

The activities in this feature all make use of Cuisenaire rods. We hope you enjoy being playful with the rods as they help you uncover and connect some important mathematical ideas.

Matching Pairs

The matching pairs games in this feature give you the chance to compare amounts represented in different ways.

Maths at Home

This feature is full of activities for you to work on at home.

Digging Into Number

The tasks in this Primary student feature give you the chance to dig deeply into maths, particularly number and calculation.

Becoming a Better Mathematician

In this feature we have brought together groups of linked tasks, which will help you develop the five key ingredients that make successful mathematicians.

Which Way?

The tasks in this feature encourage you to make a deliberate choice about the way you solve a calculation.

Shape Your Thinking

These activities will encourage you to think flexibly about shape, position and movement (geometry). 

Balancing

The activities in this feature for primary students will help you deepen your understanding of what it means when we say that two amounts are equal.

Delving Into Data

The tasks in this feature for primary students give you the chance to interrogate data as well as come up with your own questions to investigate.

Diving into Factors and Multiples

The activities in this Primary feature will help you get more of a 'feel' for numbers, in particular for factors and multiples.

Can You Play Strategically?

These games will encourage you to play strategically. Can you think ahead and modify your tactics as you go along?

Getting to Know Your Quadrilaterals

The problems and games in this feature for Primary students will challenge you to visualise quadrilaterals.
  • Digging Into Geometry

    Dig deeply into geometrical ideas by having a go at the tasks in this Primary student feature.
  • Low Threshold High Ceiling Tasks

    Try some Low Threshold High Ceiling Tasks.
  • NRICH at Stage 1

    Choose a problem, investigation or game. Which is your favourite?
  • The Problem with Problem Solving at Stage 1

    Choose one of the problems below.
  • Maths Explorers

    Are you a maths detective? Choose a task and use your mathematical skills to solve the problem.
  • I Wonder ...?

    We hope these tasks make you wonder what if ...?
  • I'm Stuck but ....!

    These tasks are tough! Can you keep going and find a solution?
  • Surprise!

    The activities in this feature for primary students may give a surprising outcome!
  • Take a Fresh Look

    These problems invite you to look again at ideas you may think you know inside-out.
  • New to You?

    We hope the new ideas and situations in these activities will make you curious to know more.
  • Shape Your Proof

    In this feature for Primary students, we offer geometrical tasks which give you the chance to notice patterns, make conjectures and create convincing mathematical arguments.
  • Perusing Patterns

    The tasks in this feature for Primary students will give you the chance to identify, copy and extend patterns, as well as to create your own, which will help you think mathematically.
  • I Like to Prove It!

    The tasks in this feature give you the chance to identify patterns, make conjectures and then create mathematical arguments that will convince even a mathematician!
  • Is There a Better Way?

    This feature includes tasks which have multiple routes to the solution. We hope this will make you curious about finding different approaches!
  • What Is the Question?

    The tasks in this feature are all about practising times tables, but with a difference...
  • Mathematical Wizardry

    The tasks in this feature all contain tricks that use maths, not magic, to make them work!
  • From Playing to Explaining

    The tasks in this feature encourage you to play and explore, then think deeply about the mathematical ideas underneath.
  • Maths Outside

    Take your mathematics outside with the tasks in this feature.
  • Playing with Cuisenaire

    The activities in this feature all make use of Cuisenaire rods. We hope you enjoy being playful with the rods as they help you uncover and connect some important mathematical ideas.
  • Matching Pairs

    The matching pairs games in this feature give you the chance to compare amounts represented in different ways.
  • Maths at Home

    This feature is full of activities for you to work on at home.
  • Digging Into Number

    The tasks in this Primary student feature give you the chance to dig deeply into maths, particularly number and calculation.
  • Becoming a Better Mathematician

    In this feature we have brought together groups of linked tasks, which will help you develop the five key ingredients that make successful mathematicians.
  • Which Way?

    The tasks in this feature encourage you to make a deliberate choice about the way you solve a calculation.
  • Shape Your Thinking

    These activities will encourage you to think flexibly about shape, position and movement (geometry). 
  • Balancing

    The activities in this feature for primary students will help you deepen your understanding of what it means when we say that two amounts are equal.
  • Delving Into Data

    The tasks in this feature for primary students give you the chance to interrogate data as well as come up with your own questions to investigate.
  • Diving into Factors and Multiples

    The activities in this Primary feature will help you get more of a 'feel' for numbers, in particular for factors and multiples.
  • Can You Play Strategically?

    These games will encourage you to play strategically. Can you think ahead and modify your tactics as you go along?
  • Getting to Know Your Quadrilaterals

    The problems and games in this feature for Primary students will challenge you to visualise quadrilaterals.

You may also like

Digging Into Geometry

Dig deeply into geometrical ideas by having a go at the tasks in this Primary student feature.

Playing with Dice

Find a friend and play our dice games.

Playing with Numbers

Play around with numbers - what can you find out?

  • Tech help
  • Accessibility Statement
  • Sign up to our newsletter
  • Twitter X logo

The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

University of Cambridge logo NRICH logo