If you have ten counters numbered 1 to 10, how many can you put into pairs that add to 10? Which ones do you have to leave out? Why?
My coat has three buttons. How many ways can you find to do up all
Dotty Six is a simple dice game that you can adapt in many ways.
These pictures were made by starting with a square, finding the half-way point on each side and joining those points up. You could investigate your own starting shape.
Watch the video to see how to fold a square of paper to create a flower. What fraction of the piece of paper is the small triangle?
How many ways can you find to do up all four buttons on my coat? How about if I had five buttons? Six ...?
You used excellent reasoning based on your own school circumstances
to answer this problem.
Go to last month's problems to see more solutions.
Jenny Piggott reflects on the event held to mark her retirement
from the directorship of NRICH, but also on problem solving itself.
These models have appeared around the Centre for Mathematical Sciences. Perhaps you would like to try to make some similar models of your own.