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In this feature, we offer a selection of rich problems on quadratics, which yield some surprising results. We hope to stimulate students' curiosity ”‹and challenge the view that algebra is dull. We invite them to explain and justify their conjectures using algebraic and diagrammatic representations.
Quadratic Patterns
Hollow Squares
Difference of Two Squares
Pythagoras Perimeters
Mega Quadratic Equations
System Speak
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 ”‹and 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 14Challenge Level 
Age 11 to 14
Challenge Level
Surprising numerical patterns can be explained using algebra and diagrams...
Hollow Squares Age 14 to 16Challenge Level
Age 14 to 16
Challenge Level
Which armies can be arranged in hollow square fighting formations?
Difference of Two Squares Age 14 to 16Challenge Level
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 16Challenge Level
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 14 to 18Challenge Level
Age 14 to 18
Challenge Level
What do you get when you raise a quadratic to the power of a quadratic?
System Speak Age 16 to 18Challenge Level
Age 16 to 18
Challenge Level
Five equations... five unknowns... can you solve the system?