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?