### Round and Round the Circle

What happens if you join every second point on this circle? How about every third point? Try with different steps and see if you can predict what will happen.

### Making Cuboids

Let's say you can only use two different lengths - 2 units and 4 units. Using just these 2 lengths as the edges how many different cuboids can you make?

### Two and Two

How many solutions can you find to this sum? Each of the different letters stands for a different number.

# First Connect Three

##### Age 7 to 14 Challenge Level:

In this game the winner is the first to complete a row of three, either horizontally, vertically or diagonally.

Spin the spinners, place each number in one of the squares and decide whether you want to add or subtract to produce a total shown on the board. Your total will then be covered with a counter.

You cannot cover a number which has already been covered.
If you are unable to find a total which has not been covered you must Pass.

You can use the interactive version below or print this board and use two 1-6 dice to play away from the computer.

Are there some numbers that we should be aiming for? Why?

Which number on the grid is the easiest to get? Why?

Which number is the most difficult to get? Why?

Printable NRICH Roadshow resources: Instructions and Game board.

For a more challenging version of this game, you could look at Connect Three, and/or change the settings of the interactivity by clicking on the purple cog.