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Take a look at the multiplication square. The first eleven triangle numbers have been identified. Can you see a pattern? Does the pattern continue?

I start my journey in Rio de Janeiro and visit all the cities as Hamilton described, passing through Canberra before Madrid, and then returning to Rio. What route could I have taken?

Can you make a spiral for yourself? Explore some different ways to create your own spiral pattern and explore differences between different spirals.

Can you sort numbers into sets? Can you give each set a name?

This train line has two tracks which cross at different points. Can you find all the routes that end at Cheston?

Jack's mum bought some candles to use on his birthday cakes and when his sister was born, she used them on her cakes too. Can you use the information to find out when Kate was born?

On a digital 24 hour clock, at certain times, all the digits are consecutive. How many times like this are there between midnight and 7 a.m.?

Here are some pictures of 3D shapes made from cubes. Can you make these shapes yourself?

Can you place the blocks so that you see the reflection in the picture?

This problem explores the shapes and symmetries in some national flags.