Curiously Quadratic

Curiously Quadratic


In this feature, we offer a selection of rich problems on quadratics, which yield some surprising results. We hope to stimulate students' curiosity ‚Äčand challenge the view that algebra is dull. We invite them to explain and justify their conjectures using algebraic and diagrammatic representations.


Quadratic Patterns 

Age 11 to 14 Challenge Level:
Surprising numerical patterns can be explained using algebra and diagrams...

Hollow Squares 

Age 14 to 16 Challenge Level:
Which armies can be arranged in hollow square fighting formations?

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?