List

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
problem

Circles, Circles

Age
5 to 11
Challenge level
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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
problem
Favourite

2 Rings

Age
5 to 7
Challenge level
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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
problem
Favourite

Caterpillars

Age
5 to 7
Challenge level
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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?
Street Sequences
problem

Street Sequences

Age
5 to 11
Challenge level
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Investigate what happens when you add house numbers along a street in different ways.
Triangle Shapes
problem

Triangle Shapes

Age
5 to 11
Challenge level
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This practical problem challenges you to create shapes and patterns with two different types of triangle. You could even try overlapping them.
Plants
problem
Favourite

Plants

Age
5 to 14
Challenge level
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Three children are going to buy some plants for their birthdays. They will plant them within circular paths. How could they do this?
Train Carriages
problem

Train Carriages

Age
5 to 11
Challenge level
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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?