Weekly Problem 7 - 2012
A disc with a pencil inside it is rolled around the outside and inside of a wire equilateral triangle. What shape is drawn by the pencil?
Weekly Problem 36 - 2013
The white square slides once around the pink square. Through what distance does the point P on the white square move?
Mark writes four points on a line at different lengths. What is the distance between the two points furthest apart?
Weekly Problem 25 - 2010
These four touching circles have another circle hiding amongst them...
Weekly Problem 45 - 2011
What shapes can be made by folding an A4 sheet of paper only once?
Weekly Problem 36 - 2014
An equilateral triangle is rolled along a line. What is the length of the path traced out by one of its vertices?
Weekly Problem 37 - 2011
Rotating a pencil twice about two different points gives surprising results...
Weekly Problem 9 - 2015
How many triangles can Jack draw with two sides of lengths $6$cm and $8$cm and an area of $7$cm$^2$?