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### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# 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

### Hollow Squares

### Difference of Two Squares

### Pythagoras Perimeters

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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.

Age 11 to 14

Challenge Level

Surprising numerical patterns can be explained using algebra and diagrams...

Age 14 to 16

Challenge Level

Which armies can be arranged in hollow square fighting formations?

Age 14 to 16

Challenge Level

What is special about the difference between squares of numbers adjacent to multiples of three?

Age 14 to 16

Challenge Level

If you know the perimeter of a right angled triangle, what can you say about the area?