Quadratic Queries

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 

Age 14 to 16
Challenge Level
What is special about the difference between squares of numbers adjacent to multiples of three?

Pythagoras Perimeters 

Age 14 to 16
Challenge Level
If you know the perimeter of a right angled triangle, what can you say about the area?

Mega Quadratic Equations 

Age 16 to 18
Challenge Level
What do you get when you raise a quadratic to the power of a quadratic?

System Speak 

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