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: Challenge Level:1

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

The Simple Lifelive

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

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

Triangles in Circleslive

Stage: 3 Challenge Level: Challenge Level:1

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

Cyclic Quadrilateralslive

Stage: 3 Challenge Level: Challenge Level:1

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: Challenge Level:2 Challenge Level:2

Find the sum of this series of surds.

Fit for Photocopyinglive

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Explore the relationships between different paper sizes.

Stage 3 and 4 Toughnutslive

Stage: 3 Challenge Level: Challenge Level:1

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