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### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Quadratic Queries

### Difference of Two Squares

### Pythagoras Perimeters

### Mega Quadratic Equations

### System Speak

## You may also like

### Patterns in Number Sequences

### Reasoning Geometrically

### Reasoning with Numbers

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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?

These resources are designed to get you thinking about number sequences and patterns.

These resources are designed to get you thinking about geometrical reasoning.

These resources are designed to get you thinking about reasoning with numbers.