List

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
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Favourite

Quadratic Patterns

Age
14 to 16
Challenge level
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Surprising numerical patterns can be explained using algebra and diagrams...

Hollow Squares
problem
Favourite

Hollow Squares

Age
14 to 16
Challenge level
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Which armies can be arranged in hollow square fighting formations?
Difference of Two Squares
problem
Favourite

Difference of Two Squares

Age
14 to 16
Challenge level
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What is special about the difference between squares of numbers adjacent to multiples of three?
Pythagoras Perimeters
problem
Favourite

Pythagoras Perimeters

Age
14 to 16
Challenge level
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If you know the perimeter of a right angled triangle, what can you say about the area?
Algebra
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Algebra

Challenge level
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This collection of resources is designed to help you to improve your understanding of topics in Algebra.