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
Solve the equations to identify the clue numbers in this Sudoku problem.
Symmetricality
Five equations and five unknowns. Is there an easy way to find the unknown values?
Always two
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
What do you get when you raise a quadratic to the power of a quadratic?
Agile algebra
Observe symmetries and engage the power of substitution to solve complicated equations.
Overturning fracsum
Can you solve the system of equations to find the values of x, y and z?