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In this feature we have collected together some problems about quadratic equations and sequences. We invite you to explore the problems, and explain and justify your conjectures using algebraic and diagrammatic representations.
Quadratic Patterns
Hollow Squares
Difference of Two Squares
Pythagoras Perimeters
Factorise This!
Factorise This!
In this feature we have collected together some problems about quadratic equations and sequences. We invite you to explore the problems, and explain and justify your 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?
