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# Quadratic Queries

### Difference of Two Squares

### Pythagoras Perimeters

### Mega Quadratic Equations

### System Speak

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Quadratic equations and expressions crop up in all sorts of contexts. Each of the problems in this feature includes a quadratic element; we hope you find them intriguing...

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?

Age 14 to 18

Challenge Level

What do you get when you raise a quadratic to the power of a quadratic?

Age 16 to 18

Challenge Level

Five equations... five unknowns... can you solve the system?