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.
problem
Favourite
Quadratic Patterns
Age
14 to 16
Challenge level
Surprising numerical patterns can be explained using algebra and diagrams...
problem
Favourite
Hollow Squares
Age
14 to 16
Challenge level
Which armies can be arranged in hollow square fighting formations?
problem
Favourite
Difference of Two Squares
Age
14 to 16
Challenge level
What is special about the difference between squares of numbers adjacent to multiples of three?
problem
Favourite
Pythagoras Perimeters
Age
14 to 16
Challenge level
If you know the perimeter of a right angled triangle, what can you say about the area?
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Creating and manipulating linear and quadratic expressions - Stage 3
Working on these problems will help you develop a better understanding of how to create algebraic expressions.
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Creating and manipulating linear and quadratic expressions - Stage 4
Working on these problems will help you develop a better understanding of how to create algebraic expressions.
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Algebra
Challenge level
This collection of resources is designed to help you to improve your understanding of topics in Algebra.