List

Quadratic Queries

Quadratic equations and expressions crop up in all sorts of contexts. Each of the problems in this feature includes a quadratic element; we hope you find them intriguing...

Difference of Two Squares
problem
Favourite

Difference of two squares

Age
14 to 16
Challenge level
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What is special about the difference between squares of numbers adjacent to multiples of three?
Pythagoras Perimeters
problem
Favourite

Pythagoras perimeters

Age
14 to 16
Challenge level
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If you know the perimeter of a right angled triangle, what can you say about the area?
Mega Quadratic Equations
problem

Mega quadratic equations

Age
14 to 18
Challenge level
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What do you get when you raise a quadratic to the power of a quadratic?
System Speak
problem
Favourite

System speak

Age
16 to 18
Challenge level
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Five equations... five unknowns... can you solve the system?