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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
1 out of 3
Symmetricality
Age
14 to 18
Challenge level
1 out of 3
Five equations and five unknowns. Is there an easy way to find the unknown values?
problem
2 out of 3
Favourite
Always Two
Age
14 to 18
Challenge level
2 out of 3
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
1 out of 3
Favourite
Mega Quadratic Equations
Age
14 to 18
Challenge level
1 out of 3
What do you get when you raise a quadratic to the power of a quadratic?
problem
1 out of 3
Agile Algebra
Age
16 to 18
Challenge level
1 out of 3
Observe symmetries and engage the power of substitution to solve complicated equations.
problem
1 out of 3
Overturning Fracsum
Age
16 to 18
Challenge level
1 out of 3
Can you solve the system of equations to find the values of x, y and z?