Count the Digits

In this investigation we are going to count the number of 1s, 2s, 3s etc in numbers. Can you predict what will happen?

National Flags !

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

The Olympic Flame: Are You in the 95%?

95% of people in Britain should live within 10 miles of the route of the Olympic Torch tour. Is this true?

Spot Thirteen

Stage: 2 Challenge Level:

Have you watched the way the score changes as you add more and more spots?  This might give you a clue as to what is going on.

Trying to make a very low score might help.

Here is a picture showing the first $9$ spots I tried (in blue):

What do you think the score is so far?  Check using the interactivity.  How does this help?