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Snookered

Stage: 4 and 5 Challenge Level: Challenge Level:2 Challenge Level:2

At a recent snooker competition, one player found herself faced with the situation below:

snookered diagram

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.

  • Could she pot the brown ball by playing the white ball off only one cushion?
  • Could she pot the brown ball by playing the white ball off two cushions?
  • What are the coordinates of any points on the cushion that she could aim for to pot the brown ball?