Do you enjoy exploring maths? In this feature, we have chosen a task from the Open Spaces pathway on wild.maths.org as well as some NRICH problems, all of which give you some starting points for mathematical investigation. What can you discover?
Here are some arrangements of circles. How many circles would I need to make the next size up for each? Can you create your own arrangement and investigate the number of circles it needs?
The red ring is inside the blue ring in this picture. Can you rearrange the rings in different ways? Perhaps you can overlap them or put one outside another?