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.

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?

Difference of Two Squareslive

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

What is special about the difference between squares of numbers adjacent to multiples of three?

Hollow Squareslive

Stage: 4 Challenge Level: Challenge Level:1

Which armies can be arranged in hollow square fighting formations?

Pythagoras Perimeterslive

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

If you know the perimeter of a right angled triangle, what can you say about the area?

Quadratic Patternslive

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

Surprising numerical patterns can be explained using algebra and diagrams...