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.
Here's how you can send your solutions to the Wild Maths task.
problem
Circles, Circles
problem
Favourite
2 Rings
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?
problem
Favourite
Caterpillars
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?
problem
Street Sequences
Investigate what happens when you add house numbers along a street in different ways.
problem
Triangle Shapes
This practical problem challenges you to create shapes and patterns
with two different types of triangle. You could even try
overlapping them.
problem
Favourite
Plants
Three children are going to buy some plants for their birthdays. They will plant them within circular paths. How could they do this?
problem
Train Carriages
Suppose there is a train with 24 carriages which are going to be put together to make up some new trains. Can you find all the ways that this can be done?