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Number and algebra

  • The Number System and Place Value
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Advanced mathematics

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For younger learners

  • Early Years Foundation Stage

How Numbers Behave

How numbers behave

Our number system uses powers of 10 to express large numbers concisely. These problems have been chosen to help you develop a better understanding of this place value system.


Dicey Operations 
Age 11 to 14
Challenge Level Yellow star

Who said that adding, subtracting, multiplying and dividing couldn't be fun?

Two and Two 
Age 11 to 16
Challenge Level Yellow starYellow starYellow star

How many solutions can you find to this sum? Each of the different letters stands for a different number.

Difference Sudoku 
Age 14 to 16
Challenge Level Yellow starYellow starYellow star

Use the differences to find the solution to this Sudoku.

Always a Multiple? 
Age 11 to 14
Challenge Level Yellow starYellow star

Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...

Method in Multiplying Madness? 
Age 7 to 14
Challenge Level Yellow starYellow star

Watch our videos of multiplication methods that you may not have met before. Can you make sense of them?

Power Mad! 
Age 11 to 14
Challenge Level Yellow starYellow star

Powers of numbers behave in surprising ways. Take a look at some of these and try to explain why they are true.

Short Problems 
Age 11 to 14

A collection of short problems to test your understanding of place value.

Related

  • Place Value, Integers, Ordering & Rounding
  • Number Operations & Calculation Methods

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Patterns in Number Sequences

These resources are designed to get you thinking about number sequences and patterns.

Secondary Student Latest

Latest list for the Lower Secondary Student page

Curriculum Topics

Problems organised by curriculum topic for lower secondary students.

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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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