(Tuj) While watching the snooker, work out in your head the angle of departure of the object ball as a function of the direction of the cue ball and the distance between them in ball radii. Differentiate it with respect to the cue-ball direction. Appreciate the skill of snooker players.
[Rosie] My forays as a very amateurish snooker player suggest to me there's more to be gained from experience and practice than maths skills! I'm told darts is good for one's counting skills also, though I've never found that much of a spectator sport...