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For younger learners

  • Early Years Foundation Stage

Symmetry, Substitutions and Surprises


In this feature you will be challenged to exploit the symmetries of a range of equations to derive elegant and efficient solutions to problems which, at first sight, might seem very difficult. 

Simultaneous Equations Sudoku

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

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.

Mega Quadratic Equations

Age 14 to 18
Challenge Level Yellow star
What do you get when you raise a quadratic to the power of a quadratic?

Agile Algebra

Age 16 to 18
Challenge Level Yellow star
Observe symmetries and engage the power of substitution to solve complicated equations.

Overturning Fracsum

Age 16 to 18
Challenge Level Yellow star
Can you solve the system of equations to find the values of x, y and z?

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Making Sense of Statistics

This collection of problems has been put together to help you to explore and understand important ideas in statistics.

The Value of Working Systematically

These problems are best solved using systematic approaches.

Integration as Area

These problems invite you to explore integration as area, and use area integrals to solve problems.

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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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