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For younger learners

  • Early Years Foundation Stage

Amazing Algebra


In this feature you can explore the properties of consecutive numbers, use algebra to justify your findings, and exploit the symmetries of equations in order to find efficient and elegant strategies for solving them.  We hope you will enjoy discovering that algebra can be a versatile tool for solving a range of problems.  

The last date for submitting solutions to the live problems is Monday 11th July.

Starting to Explore Four Consecutive Numbers

Age 11 to 16
Challenge Level Yellow star

Continuing to Explore Four Consecutive Numbers

Age 14 to 16
Challenge Level Yellow star

Is There More to Discover about Four Consecutive Numbers?

Age 14 to 16
Challenge Level Yellow starYellow star

Simultaneous Equations Sudoku

Age 11 to 18
Challenge Level Yellow star
Solve the equations to identify the clue numbers in this Sudoku problem.

A Change in Code

Age 14 to 16
Challenge Level Yellow star
Can you find the percentage increase if the results appear in code?

Symmetricality

Age 14 to 18
Challenge Level Yellow star
Five equations and five unknowns. Is there an easy way to find the unknown values?

Always Two

Age 14 to 18
Challenge Level Yellow starYellow star
Find all the triples of numbers a, b, c such that each one of them plus the product of the other two is always 2.

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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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