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Number and algebra

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Advanced mathematics

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For younger learners

  • Early Years Foundation Stage

Applying and Consolidating at KS1

It's useful to be able to recognise similar structures or patterns across different activities. These tasks encourage children to do that, and consolidate their understanding at the same time.

Number Squares

Age 5 to 11
Challenge Level Yellow star

Start with four numbers at the corners of a square and put the total of two corners in the middle of that side. Keep going... Can you estimate what the size of the last four numbers will be?

The Tomato and the Bean

Age 5 to 7
Challenge Level Yellow starYellow starYellow star

At the beginning of May Tom put his tomato plant outside. On the same day he sowed a bean in another pot. When will the two be the same height?

Lots of Lollies

Age 5 to 7
Challenge Level Yellow starYellow starYellow star

Frances and Rishi were given a bag of lollies. They shared them out evenly and had one left over. How many lollies could there have been in the bag?

Turning

Age 5 to 7
Challenge Level Yellow star

Use your mouse to move the red and green parts of this disc. Can you make images which show the turnings described?

Mobile Numbers

Age 5 to 11
Challenge Level Yellow star

In this investigation, you are challenged to make mobile phone numbers which are easy to remember. What happens if you make a sequence adding 2 each time?

Our Numbers

Age 5 to 7
Challenge Level Yellow star

These spinners will give you the tens and unit digits of a number. Can you choose sets of numbers to collect so that you spin six numbers belonging to your sets in as few spins as possible?

The Add and Take-away Path

Age 5 to 7
Challenge Level Yellow star

Two children made up a game as they walked along the garden paths. Can you find out their scores? Can you find some paths of your own?

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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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