The shortest path between any two points on a snooker table is the straight line between them but what if the ball must bounce off one wall, or 2 walls, or 3 walls?
Four circles all touch each other and a circumscribing circle. Find
the ratios of the radii and prove that joining 3 centres gives a
Consider a watch face which has identical hands and identical marks
for the hours. It is opposite to a mirror. When is the time as read
direct and in the mirror exactly the same between 6 and 7?
At a recent snooker competition, one player found herself faced
with the situation below:
Her next shot was the brown ball which was nicely positioned on
the lip of the pocket. Unfortunately she was unable to hit the
brown ball directly as the black ball was in the way.