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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
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Geometry and measure

  • Angles, Polygons, and Geometrical Proof
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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

Take a Fresh Look

Take a fresh look

Just because a situation is familiar doesn't mean it has to be dull! These problems invite you to look again at ideas you may think you know inside-out, and see what new discoveries you can make.

Writing Digits 
Age 5 to 7
Challenge Level Yellow star

Lee was writing all the counting numbers from 1 to 20. She stopped for a rest after writing seventeen digits. What was the last number she wrote?

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?

Wallpaper 
Age 5 to 7
Challenge Level Yellow starYellow star

These pieces of wallpaper need to be ordered from smallest to largest. Can you find a way to do it?

Swimming Pool Tiles 
Age 7 to 11
Challenge Level Yellow star

This activity creates an opportunity to explore all kinds of number-related patterns.

Birthday Cake Candles 
Age 7 to 11
Challenge Level Yellow star

This challenge involves calculating the number of candles needed on birthday cakes. It is an opportunity to explore numbers and discover new things.

Tumbling Down 
Age 7 to 11
Challenge Level Yellow star

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

Related

  • Surprise!

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Digging Into Geometry

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

More Playing with Numbers Upper Primary

More resources to support understanding multiplication and division through playing with numbers

Playing with Dice

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

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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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