Being collaborative

Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?

Can you order the digits from 1-3 to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on?

Can you find a way of counting the spheres in these arrangements?

How could you arrange at least two dice in a stack so that the total of the visible spots is 18?

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

This dice train has been made using specific rules. How many different trains can you make?

What is the largest 'ribbon square' you can make? And the smallest? How many different squares can you make altogether?

If you'd like to explore the game freely, without any nudges from us, choose this version.

Can you select the missing digit(s) to find the largest multiple?