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Number and algebra

  • The Number System and Place Value
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For younger learners

  • Early Years Foundation Stage

Reasoning

Reasoning

In our view, you can't do maths without reasoning! Why not have a go at these activities which will give you chances to reason in different ways? Can you explain your solution and convince someone else it is correct?

Two Numbers Under the Microscope 
Age 5 to 7
Challenge Level Yellow star

This investigates one particular property of number by looking closely at an example of adding two odd numbers together.

Eggs in Baskets 
Age 5 to 7
Challenge Level Yellow starYellow star

There are three baskets, a brown one, a red one and a pink one, holding a total of 10 eggs. How many eggs are in each basket?

Largest Even Live
Age 5 to 11
Challenge Level Yellow star

How would you create the largest possible two-digit even number from the digit I've given you and one of your choice?

Poly Plug Rectangles 
Age 5 to 11
Challenge Level Yellow star

The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?

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?

Hundred Square 
Age 5 to 11
Challenge Level Yellow starYellow star

A hundred square has been printed on both sides of a piece of paper. What is on the back of 100? 58? 23? 19?

Related

  • Convince Me! - Lower Primary

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Digging Into Geometry

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

Playing with Dice

Find a friend and play our dice games.

Playing with Numbers

Play around with numbers - what can you find out?

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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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