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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

Past Features

Getting to Know Your Quadrilaterals

Age 5 to 11

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

Knowing Your Place

Age 5 to 11

Where is the best place for your numbers? How will you decide?

Playing with Coins and Mathematical Sudokus

Age 5 to 11

In this feature for Primary students, we challenge you to solve our Mathdokus, mathematical versions of the well-known Sudoku.

Perusing Patterns

Age 5 to 11

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.

Maths Outside

Age 5 to 11

Take your mathematics outside with the tasks in this feature.

Shape Your Proof

Age 5 to 11

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.

I Like to Prove It!

Age 5 to 11

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!

Digging Into Geometry

Age 5 to 11

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

Digging Into Number

Age 5 to 11

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

Can You Play Strategically?

Age 5 to 11

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

Diving into Factors and Multiples

Age 5 to 11

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

Delving Into Data

Age 5 to 11

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.

Balancing

Age 5 to 11

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.

Shape Your Thinking

Age 5 to 11

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

Which Way?

Age 5 to 11

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

Becoming a Better Mathematician

Age 5 to 11

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

Maths at Home

Age 5 to 11

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

Matching Pairs

Age 5 to 11

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

Playing with Cuisenaire

Age 5 to 11

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.

Low Threshold High Ceiling Tasks

Age 5 to 11

Try some Low Threshold High Ceiling Tasks.

From Playing to Explaining

Age 5 to 11

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

Mathematical Wizardry

Age 5 to 11

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

What Is the Question?

Age 5 to 11

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

Is There a Better Way?

Age 5 to 11

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

Ways of Showing

Age 5 to 11

The problems in this feature give you chance to consider different ways of showing (or representing) your thinking.

Interactivities to Make You Inquisitive

Age 5 to 11

These activities all have interactive elements to arouse your curiosity!

New to You?

Age 5 to 11

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

Take a Fresh Look

Age 5 to 11

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

Surprise!

Age 5 to 11

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

I'm Stuck but ....!

Age 5 to 7

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

I Wonder ...?

Age 5 to 7

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

Maths Explorers

Age 5 to 7

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

The Problem with Problem Solving at Stage 1

Age 5 to 7

Choose one of the problems below.

Fractions

Age 5 to 7

The activities in this feature give you chance to explore fractions.

Learning from Other People's Starting Points

Age 5 to 7

In this feature, you can see how some children started each task, but this isn't because we want to give away the solutions!

Happy Birthday NRICH!

Age 5 to 7

To celebrate NRICH's 20th birthday, we have brought together some tasks from NRICH which you might not have come across before. We might call them 'hidden gems'!

Mathematical Habits of Mind

Age 5 to 7

These activities will help you to be curious, thoughtful, collaborative and determined.

Olympic Maths

Age 5 to 7

To celebrate the 2016 Olympic Games, why not have a go at these maths and sport challenges?

Play to Win

Age 5 to 7

Can you find a winning strategy for each of the games in this feature? Do you notice anything that is the same about the games?

Open Spaces

Age 5 to 7

In this feature, we give you some starting points for mathematical investigation. What can you discover?

Jump Into Geometry

Age 5 to 7

These lower primary tasks all involve geometry - describing and sorting shapes, turning (or angles) and pattern.

Puzzling with Paper

Age 5 to 7

This feature challenges you to create different shapes by folding A-sized paper. Grab some paper and get folding!

And Another ...

Age 5 to 7

This tasks each give you a chance to transfer your thinking from one example, to another, to another ...

The National Young Mathematicians' Award

Age 5 to 7

These tasks are great preparation for the Young Mathematicians' Award.

Reasoning

Age 5 to 7

These activities will give you chance to use mathematical reasoning in different ways.

Trial and Improvement

Age 5 to 7

The tasks in this lower primary feature lend themselves to being solved by trial and improvement.

For Two

Age 5 to 7

Lower primary games that can be played by an adult and child.

Thinking Differently

Age 5 to 7

You'll need to think a little differently to have a go at the challenges in this feature. Don't be afraid to have a go and try something out!

Cubes

Age 5 to 7

The activities in this feature all use interlocking cubes to help you think mathematically.

Number Facts

Age 5 to 7

These activities will help you know and use number facts.

Number Sense and Place Value

Age 5 to 7

This lower primary feature focuses on number sense and place value.

Geoboards

Age 5 to 7

This lower primary feature brings together activities which make use of geoboards.

Counters

Age 5 to 7

These activities all make use of counters but in different ways.

Strategy Games

Age 5 to 7

Playing these games will help you get better at logical thinking.

Number Patterns

Age 5 to 7

Explore these lower primary activities which focus on making, recognising and continuing number patterns.

Getting Better at Group Work

Age 5 to 7

Have a go at these lower primary activities to improve your group-working skills.

Recording

Age 5 to 7

Have a go at these activities and don't be afraid to record in whatever way you like.

Working Systematically

Age 5 to 7
Challenge Level Yellow star

Having an order or pattern to the way you work will really help with these activities.

Playing with 2D Shape

Age 5 to 7

Have a go at these shapely tasks ...

Playing with Numbers

Age 5 to 7

Play around with numbers - what can you find out?

Playing with Dice

Age 5 to 7

Find a friend and play our dice games.

You may also like

Digging Into Geometry

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

Lower Primary Related Content Low Threshold High Ceiling Tasks

Low Threshold High Ceiling Tasks

Try some Low Threshold High Ceiling Tasks.

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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.

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