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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.
problem
Simultaneous equations Sudoku
Age
11 to 18
Challenge level
Solve the equations to identify the clue numbers in this Sudoku problem.
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.
problem
Mega quadratic equations
Age
14 to 18
Challenge level
What do you get when you raise a quadratic to the power of a quadratic?
problem
Agile algebra
Age
16 to 18
Challenge level
Observe symmetries and engage the power of substitution to solve complicated equations.
problem
Overturning fracsum
Age
16 to 18
Challenge level
Can you solve the system of equations to find the values of x, y and z?