# Live Problems - Stage 3 & 4

Each time you visit the NRICH site there will be some activities which are 'live'. That means we are inviting you to send us your solutions and we will publish a selection of them, along with your name and school. If you'd like to read more about what we're looking for, read this short article.

### Almost Onelive

##### Stage: 3 Challenge Level:

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

### The Simple Lifelive

##### Stage: 3 Challenge Level:

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

### Triangles in Circleslive

##### Stage: 3 Challenge Level:

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

##### Stage: 3 Challenge Level:

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

### The Root of the Problemlive

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

Find the sum of this series of surds.

### Fit for Photocopyinglive

##### Stage: 4 Challenge Level:

Explore the relationships between different paper sizes.

### Stage 3 and 4 Toughnutslive

##### Stage: 3 Challenge Level:

These Stage 3 and 4 problems have not yet been solved. Can you be the first?