# Your Solutions - Stage 3 & 4

### Almost One

##### Stage: 3 Challenge Level:

Choose some fractions and add them together. Can you get close to 1?

### Triangles in Circles

##### Stage: 3 Challenge Level:

Can you find triangles on a 9-point circle? Can you work out their angles?

##### Stage: 3 and 4 Challenge Level:

Draw some quadrilaterals on a 9-point circle and work out the angles. Is there a theorem?

### The Simple Life

##### Stage: 3 Challenge Level:

The answer is $5x+8y$... What was the question?

### Fit for Photocopying

##### Stage: 4 Challenge Level:

Explore the relationships between different paper sizes.

### The Root of the Problem

##### Stage: 4 and 5 Challenge Level:

Find the sum of this series of surds.