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### Number and algebra

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### For younger learners

### Advanced mathematics

# Amazing Algebra

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Simultaneous Equations Sudoku

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A Change in Code

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Symmetricality

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Always Two

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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.

Age 11 to 18

Challenge Level

Solve the equations to identify the clue numbers in this Sudoku problem.

Age 14 to 16

Challenge Level

Can you find the percentage increase if the results appear in code?

Age 14 to 18

Challenge Level

Five equations and five unknowns. Is there an easy way to find the unknown values?

Age 14 to 18

Challenge Level

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.