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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.
problem
Simultaneous equations Sudoku
Age
11 to 18
Challenge level
Solve the equations to identify the clue numbers in this Sudoku problem.
problem
Favourite
A change in code
Age
14 to 16
Challenge level
Can you find the percentage increase if the results appear in code?
problem
Symmetricality
Age
14 to 18
Challenge level
Five equations and five unknowns. Is there an easy way to find the unknown values?
problem
Favourite
Always two
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.