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?
Here is a machine with four coloured lights. Can you make two lights switch on at once? Three lights? All four lights?
Watch the video to see how to sum the sequence. Can you adapt the method to sum other sequences?
Explore creating 'factors and multiples' graphs such that no lines joining the numbers cross
We received some elegant solutions to this problem.
Go to last month's problems to see more solutions.
What would you do if your teacher asked you add all the numbers from 1 to 100? Find out how Carl Gauss responded when he was asked to do just that.
An introduction to the notation and uses of modular arithmetic