What happens to the perimeter of triangle ABC as the two smaller
circles change size and roll around inside the bigger circle?
Three circles have a maximum of six intersections with each other.
What is the maximum number of intersections that a hundred circles
Which is a better fit, a square peg in a round hole or a round peg
in a square hole?
This problem is taken from the UKMT Mathematical Challenges.View the archive of all weekly problems grouped by curriculum topic