Can you continue this pattern of triangles and begin to predict how many sticks are used for each new "layer"?...

Arrange the shapes in a line so that you change either colour or shape in the next piece along. Can you find several ways to start with a blue triangle and end with a red circle?...

Three children are going to buy some plants for their birthdays. They will plant them within circular paths. How could they do this?...

Look at the mathematics that is all around us - this circular window is a wonderful example....

How can the school caretaker be sure that the tree would miss the school buildings if it fell?...

Ben and his mum are planting garlic. Can you find out how many cloves of garlic they might have had?...

Investigate what happens when you add house numbers along a street in different ways....

Try some throwing activities and see whether you can throw something as far as the Olympic hammer or discus throwers....

Can you work out where these 5 riders came in a not-quite-so-famous bike race?...

Can you prove these triangle theorems both ways?...