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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
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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

Understanding Information

These activities are part of our Primary collections, which are problems grouped by topic.

Sticky Data

Age 5 to 7
Challenge Level Yellow star

You'll need to work in a group on this problem. Use your sticky notes to show the answer to questions such as 'how many girls are there in your group?'.

Ladybird Count

Age 5 to 7
Challenge Level Yellow star

Some children were playing a game. Make a graph or picture to show how many ladybirds each child had.

Sort the Street

Age 5 to 7
Challenge Level Yellow star

Sort the houses in my street into different groups. Can you do it in any other ways?

Button-up

Age 5 to 7
Challenge Level Yellow star

My coat has three buttons. How many ways can you find to do up all the buttons?

Guess the Houses

Age 5 to 7
Challenge Level Yellow star

This task depends on learners sharing reasoning, listening to opinions, reflecting and pulling ideas together.

What Shape and Colour?

Age 5 to 7
Challenge Level Yellow star

Can you fill in the empty boxes in the grid with the right shape and colour?

Three Ball Line Up

Age 5 to 7
Challenge Level Yellow starYellow star

Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.

Noah

Age 5 to 7
Challenge Level Yellow starYellow star

Noah saw 12 legs walk by into the Ark. How many creatures did he see?

3 Blocks Towers

Age 5 to 7
Challenge Level Yellow starYellow star

Take three differently coloured blocks - maybe red, yellow and blue. Make a tower using one of each colour. How many different towers can you make?

Mixed-up Socks

Age 5 to 7
Challenge Level Yellow starYellow star

Start with three pairs of socks. Now mix them up so that no mismatched pair is the same as another mismatched pair. Is there more than one way to do it?

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?

Beads and Bags

Age 5 to 11
Challenge Level Yellow star

How could you put these three beads into bags? How many different ways can you do it? How could you record what you've done?

In the Playground

Age 5 to 11
Challenge Level Yellow starYellow star

What can you say about the child who will be first on the playground tomorrow morning at breaktime in your school?

Plants

Age 5 to 14
Challenge Level Yellow starYellow star

Three children are going to buy some plants for their birthdays. They will plant them within circular paths. How could they do this?

The Hair Colour Game

Age 7 to 11
Challenge Level Yellow starYellow star

The class were playing a maths game using interlocking cubes. Can you help them record what happened?

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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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