Factorise This!

Current

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 link

Quadratic Patterns live

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 live

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 live

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 live

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?