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?

The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities can be found here.
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NRICH is part of the family of activities in the Millennium Mathematics Project.