Being collaborative

On a digital clock showing 24 hour time, over a whole day, how many times does a 5 appear? Is it the same number for a 12 hour clock over a whole day?

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?

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

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

By choosing to add numbers from 1-4, can you hit the target number in this game?

This task develops spatial reasoning skills. By framing and asking questions a member of the team has to find out what mathematical object they have chosen.

Here's a strategy game with lots to explore. Can you find out enough to guarantee a win, no matter what the settings?