Gigi's Logic Puzzles

This Week's Exciting Puzzle: the Tiddleywinks Game

This puzzle appeared in Volume 77, Issue 2 (May 29, 1998) of mathNEWS,
and was co-authored by Andrea Knowles.


Six friends got together one evening and decided to play tiddleywinks. Each of them played a different colour: green, red, orange, blue, purple, and yellow. They all had different scores ranging from 105 to 160. The points are awarded 10, 15, and 25 depending on where the chip landed on the board. There's no score for not hitting the board. They all got 10 chips. The six people were named Amy, Beth, Calvin, Dave, Edmund, and Fiona. Their last names, in alphabetical order are Kennedy, Lincoln, McGuinty, Nichols, Orville, and Patterson. Find each person's full name, the colour of chip they used, the order the played in, and their final score.


  1. No two people got the same score.
  2. Everyone scored 25 at least once.
  3. The six people who played were (in no particular order) Amy who played blue, the person who never missed the board but didn't get the high score, the person who played with orange, the person who scored 110 points, the guy who played last, and Nichols who played first.
  4. Dave did not play last, and was not green.
  5. Two men had the highest and lowest scores.
  6. Beth is not Ms. Patterson.
  7. The greatest difference between two consecutive scores is 20 points.
  8. Kennedy played after Orville and scored more points than Fiona.
  9. Two women played first, followed by two men.
  10. Orville scored 15 points less than Amy, who in turn scored fewer points than Edmund.
  11. All three women played with primary colours.
  12. The sum of all the scores is 755.
  13. The order of play was Fiona, the person who scored 125 points, Lincoln, Calvin, the person who used the red chip, and McGuinty (who played with purple).


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