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Open Spaces

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's how you can send your solutions to the Wild Maths task.

Circles, Circles link

Circles, Circles 

Stage: 1 and 2 Challenge Level: Challenge Level:1

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?

2 Rings link

2 Rings live

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

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?

Caterpillars link

Caterpillars live

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

These caterpillars have 16 parts. What different shapes do they make if each part lies in the small squares of a 4 by 4 square?