# Sharpen Your Skills

### Sharpen your Skills

Practising a mathematical skill doesn't need to be tedious... dust off your angle, algebra and adding fractions skills, and put them to good use solving this set of problems!

### 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?

### Cyclic Quadrilaterals

##### 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?