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 

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2
Surprising numerical patterns can be explained using algebra and diagrams...

Hollow Squares 

Stage: 4 Challenge Level: Challenge Level:1
Which armies can be arranged in hollow square fighting formations?

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 

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?