Live Problems - Stage 4 & 5

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.

Staircase Sequenceslive

Stage: 5 Challenge Level: Challenge Level:1

Can you make sense of these unusual fraction sequences?

Irrational Rootslive

Stage: 5 Challenge Level: Challenge Level:1

You're used to working with quadratics with integer roots, but what about when the roots are irrational?

Nested Surdslive

Stage: 5 Challenge Level: Challenge Level:1

Can you find values that make these surd statements true?

Irrational Constructionslive

Stage: 5 Challenge Level: Challenge Level:1

What questions does the spiral construction prompt you to ask?

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?