Dotty Six is a simple dice game that you can adapt in many ways.
Investigate the sum of the numbers on the top and bottom faces of a line of three dice. What do you notice?
Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possibilities that could come up?
When you throw two regular, six-faced dice you have more chance of getting one particular result than any other. What result would that be? Why is this?
There are nasty versions of this dice game but we'll start with the nice ones...
Can you find a way to identify times tables after they have been shifted up?
Many numbers can be expressed as the sum of two or more consecutive integers. For example, 15=7+8 and 10=1+2+3+4. Can you say which numbers can be expressed in this way?
Use the animation to help you work out how many lines are needed to draw mystic roses of different sizes.
Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?
It would be great to have some images of the spirals you have made but in the meantime here are a few ideas.
Go to last month's problems to see more solutions.