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Number and algebra

  • The Number System and Place Value
  • Calculations and Numerical Methods
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  • Properties of Numbers
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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
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For younger learners

  • Early Years Foundation Stage

Being Curious - Primary All Resources

Next-door Numbers

Age 5 to 7
Challenge Level Yellow star

Florence, Ethan and Alma have each added together two 'next-door' numbers. What is the same about their answers?

Eightness of Eight

Age 5 to 7
Challenge Level Yellow star

What do you see as you watch this video? Can you create a similar video for the number 12?

Five Steps to 50

Age 5 to 7
Challenge Level Yellow star

Use five steps to count forwards or backwards in 1s or 10s to get to 50. What strategies did you use?

Colouring Triangles

Age 5 to 7
Challenge Level Yellow starYellow star

Explore ways of colouring this set of triangles. Can you make symmetrical patterns?

Little Man

Age 5 to 7
Challenge Level Yellow starYellow star

The Man is much smaller than us. Can you use the picture of him next to a mug to estimate his height and how much tea he drinks?

Chain of Changes

Age 5 to 7
Challenge Level Yellow starYellow star

Arrange the shapes in a line so that you change either colour or shape in the next piece along. Can you find several ways to start with a blue triangle and end with a red circle?

Ring a Ring of Numbers

Age 5 to 7
Challenge Level Yellow starYellow star

Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.

Light the Lights

Age 5 to 7
Challenge Level Yellow starYellow star

Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?

More Numbers in the Ring

Age 5 to 7
Challenge Level Yellow starYellow starYellow star

If there are 3 squares in the ring, can you place three different numbers in them so that their differences are odd? Try with different numbers of squares around the ring. What do you notice?

Digit Addition

Age 5 to 11
Challenge Level Yellow star

Try out this number trick. What happens with different starting numbers? What do you notice?

Shaping It

Age 5 to 11
Challenge Level Yellow star

These pictures were made by starting with a square, finding the half-way point on each side and joining those points up. You could investigate your own starting shape.

Number Detective

Age 5 to 11
Challenge Level Yellow star

Follow the clues to find the mystery number.

If the World Were a Village

Age 5 to 11
Challenge Level Yellow star

This activity is based on data in the book 'If the World Were a Village'. How will you represent your chosen data for maximum effect?

Number Differences

Age 7 to 11
Challenge Level Yellow star

Place the numbers from 1 to 9 in the squares below so that the difference between joined squares is odd. How many different ways can you do this?

Tumbling Down

Age 7 to 11
Challenge Level Yellow star

Watch this animation. What do you see? Can you explain why this happens?

Brush Loads

Age 7 to 11
Challenge Level Yellow star

How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.

Two Clocks

Age 7 to 11
Challenge Level Yellow starYellow star

These clocks have only one hand, but can you work out what time they are showing from the information?

Curious Number

Age 7 to 11
Challenge Level Yellow starYellow starYellow star

Can you order the digits from 1-3 to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on?

Statement Snap

Age 7 to 14
Challenge Level Yellow star

You'll need to know your number properties to win a game of Statement Snap...

Consecutive Numbers

Age 7 to 14
Challenge Level Yellow star

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

The Number Jumbler

Age 7 to 14
Challenge Level Yellow star

The Number Jumbler can always work out your chosen symbol. Can you work out how?

Triangle Transformation

Age 7 to 14
Challenge Level Yellow star

Start with a triangle. Can you cut it up to make a rectangle?

Your Number Is...

Age 7 to 14
Challenge Level Yellow star

Think of a number and follow the machine's instructions... I know what your number is! Can you explain how I know?

Nice or Nasty

Age 7 to 14
Challenge Level Yellow star

There are nasty versions of this dice game but we'll start with the nice ones...

Subtraction Surprise

Age 7 to 14
Challenge Level Yellow star

Try out some calculations. Are you surprised by the results?

Three Neighbours

Age 7 to 14
Challenge Level Yellow starYellow star

Take three consecutive numbers and add them together. What do you notice?

Fruity Totals

Age 7 to 16
Challenge Level Yellow star

In this interactivity each fruit has a hidden value. Can you deduce what each one is worth?

You may also like

Being Collaborative - Primary All Resources

Resources to help primary children to be more collaborative.

Being Resourceful - Primary All Resources

Resources to help primary children to be more thoughtful.

Being Resilient - Primary All Resources

Resources to help primary children to develop their resilience.

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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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