Live Problems - Stage 3, 4 & 5

Almost Onelive

Stage: 3 Challenge Level: Challenge Level:1

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

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 Simple Lifelive

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

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

Fit for Photocopyinglive

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

Explore the relationships between different paper sizes.

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.

Irrational Arithmagonslive

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Can you work out the irrational numbers that belong in the circles to make the multiplication arithmagon correct?

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?

Stage 4 & 5 Toughnutslive

Stage: 5 Challenge Level: Challenge Level:1

These Stage 4 and 5 problems haven't been solved yet. 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.