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.

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?

Of All the Areaslive

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

Can you find a general rule for finding the areas of equilateral triangles drawn on an isometric grid?

Towering Trapeziumslive

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

Can you find the areas of the trapezia in this sequence?

Graphs of Changing Areaslive

Stage: 5 Challenge Level: Challenge Level:1

Use graphs to gain insights into an area and perimeter problem, or use your knowledge of area and perimeter to gain insights into the graphs...

Area Llive

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

By sketching a graph of a continuous increasing function, can you prove a useful result about integrals?