Curiously Quadratic

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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 link

Quadratic Patterns 

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

Surprising numerical patterns can be explained using algebra and diagrams...

Hollow Squares link

Hollow Squares 

Stage: 4 Challenge Level: Challenge Level:1

Which armies can be arranged in hollow square fighting formations?

Difference of Two Squares link

Difference of Two Squares 

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

What is special about the difference between squares of numbers adjacent to multiples of three?

Pythagoras Perimeters link

Pythagoras Perimeters 

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

If you know the perimeter of a right angled triangle, what can you say about the area?

Mega Quadratic Equations link

Mega Quadratic Equations 

Stage: 5 Challenge Level: Challenge Level:1

What do you get when you raise a quadratic to the power of a quadratic?

System Speak link

System Speak 

Stage: 5 Challenge Level: Challenge Level:1

Five equations... five unknowns... can you solve the system?