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Number and algebra

  • The Number System and Place Value
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For younger learners

  • Early Years Foundation Stage

Ways of Showing

Ways of Showing

If you're curious about why something works, it can really help to find different ways of showing (or representing) your thinking.  For example, you might draw a picture or use some equipment.  The problems below will give you chance to think carefully about different representations, whether they are created by you or by someone else.

Catrina's Cards 
Age 5 to 7
Challenge Level Yellow star

How would you find out how many football cards Catrina has collected?

Triangle or No Triangle? 
Age 5 to 7
Challenge Level Yellow star

Here is a selection of different shapes. Can you work out which ones are triangles, and why?

Birthday Sharing 
Age 5 to 7
Challenge Level Yellow star

It's Sahila's birthday and she is having a party. How could you answer these questions using a picture, with things, with numbers or symbols?

Name That Triangle! 
Age 7 to 11
Challenge Level Yellow star

Can you sketch triangles that fit in the cells in this grid? Which ones are impossible? How do you know?

The Remainders Game 
Age 7 to 14
Challenge Level Yellow star

Play this game and see if you can figure out the computer's chosen number.

Magic Crosses 
Age 7 to 14
Challenge Level Yellow star

Can you find examples of magic crosses? Can you find all the possibilities?

Remainders 
Age 7 to 14
Challenge Level Yellow starYellow star

I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?

Related

  • More Ways of Showing
  • Many Ways to See

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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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