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

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

Have you ever started a mathematics task and then stopped and wondered about something in it? We think these tasks might make you do this.

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

Can you crack the code, solve the puzzle and think like a mathematician? Have a go at one of our puzzles and send us your solution.

In this feature we have selected some problems which you could do in a short amount of time, or some longer investigations if you have more time.

Try some of these tasks to test your thinking and reasoning skills.

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

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

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'!

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'!

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

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

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

Celebrate the 2016 Olympics by having a go at these sports and maths challenges for upper primary students.

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?

This feature brings together some strategy games from the Play to Win pathway on Wild Maths.

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

This feature brings together some resources from the Open Spaces pathway on Wild Maths.

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

These upper primary tasks all involve geometry - describing, constructing, reflecting, rotating or translating shapes along with angles.

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

This feature brings together tasks which focus on paper folding. Have a go!

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

This feature will help you build up to generalising and, ultimately, proving.

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

This feature brings together tricky tasks which have been created for the Young Mathematicians' Award. Be prepared to get stuck in!

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

Have a go at these activities which will give you chance to reason in different ways and for different purposes.

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

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

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!

Try these activities to find out more about what it means to be thinking algebraically.

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

This feature brings together activities which all use cubes to support your thinking.

This feature gathers together activities which will help you get better at knowing and using number facts.

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

This upper primary feature focuses on developing your sense of number and getting to grips with place value.

This feature focuses on a strategy game for you to explore in depth.

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

Playing these upper primary strategy games will help improve your logical thinking skills.

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

This collection of upper primary activities focus on making, recognising, continuing and explaining number patterns.

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

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

These upper primary activities have been chosen to give you chance to record in whatever way you like.

Working in a systematic way is a very useful skill. Have a go at these activities.

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

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

We're starting the school year with some of our favourite dice activities.

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.

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reserved.

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

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