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For younger learners

  • Early Years Foundation Stage

Reasoning

Reasoning

In our view, you can't do maths without reasoning! But what is mathematical reasoning and when do we need it? Have a go at these activities which give you chances to reason in different ways and for different purposes. Can you explain your solution, convince someone else it is correct and justify your conclusions?

That Number Square 
Age 5 to 11
Challenge Level Yellow star

Exploring the structure of a number square: how quickly can you put the number tiles in the right place on the grid?

Which Scripts? 
Age 7 to 11
Challenge Level Yellow star

There are six numbers written in five different scripts. Can you sort out which is which?

Rectangle Tangle 
Age 7 to 11
Challenge Level Yellow star

The large rectangle is divided into a series of smaller quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the shapes?

Coded Hundred Square 
Age 7 to 11
Challenge Level Yellow star

This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?

Maze 100 
Age 7 to 11
Challenge Level Yellow starYellow star

Can you go through this maze so that the numbers you pass add to exactly 100?

Amy's Dominoes 
Age 7 to 11
Challenge Level Yellow starYellow star

Amy has a box containing domino pieces but she does not think it is a complete set. Which of her domino pieces are missing?

Fraction Fascination 
Age 7 to 11
Challenge Level Yellow starYellow starYellow star

This problem challenges you to work out what fraction of the whole area of these pictures is taken up by various shapes.

Related

  • Convince Me! - Upper Primary

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Digging Into Geometry

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Playing with Dice

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

Playing with Numbers

Be a mathematician - play around with numbers.

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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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