Twelve players took part in a Scrabble tournament, where each played seven games against different opponents. From the clues below, can you work out what order the top five finished in, how many games they won, their last opponent, and their highest word (HW) and game (HG) scores for the tournament?
Top 5: Chris (m), Dianne (f), Edie (f), Russell (m), Sally (f)
Opponents: Carolyn (f), Judy (f), Mark (m), Russell (m), Sally (f)
Games won: 4, 4.5, 5, 5.5, 6
High Game scores: 470, ?, 576, ?, 601
High Word scores: 90, ?, 97, ?, 121
You will need to determine the missing high game and high word scores. They are presented in numerical order, and all the scores are different. Note also that a drawn game counts as half a win for both players.
1. The top five players were, in some order: the eventual winner; Carolyn's final opponent; the player with the best game score; the player with the best word score; and Chris.
2. Sally got off to a bad start, losing both her opening games before winning her third.
3. The only tie of the tournament was played between two ladies in game 3.
4. Edie's best game score was a perfect square; the only other player to achieve this came third.
5. The two players whose high game scores were in the 500's had high word scores ending in 5.
6. Only one of the top five played someone of the same gender in the last game; the winner of that match scored 576, their best score for the day.
7. Dianne was delighted to join the '600 Club' in game 5 against Carolyn; this eclipsed Russell's best by 4 points.
8. The champion's highest word score was exactly eight more than that of Mark's last opponent, who finished below Chris.
Answer:Pos - Name - Wins - Last Opp - HG - HW
1 - Russell - 6 - Sally - 597 - 105
2 - Edie - 5.5 - Carolyn - 576 - 95
3 - Chris 5 - Judy - 484 - 90
4 - Dianne - 4.5 - Mark - 601 - 97
5. Sally - 4 - Russell - 470 - 121
Sally and Russell must have played each other in the last game. Carolyn didn't play Chris last (Clue 1), and she played Dianne in game 5 (Clue 7), so she must have been Edie's final opponent. Clue 6 tells us the other games were between players of different genders, so Chris played Judy and Dianne played Mark.
Clue 3 tells us there was only one tied game, between two ladies in round 3. However, Sally could not have been one of them, because she won her third game (Clue 2). So Dianne and Edie must have finished with 4.5 and 5.5, in some order. We know that Mark's opponent (Dianne) finished below Chris (Clue 8) and that Chris did not win overall (Clue 1), so Dianne won 4.5 and Edie 5.5, and Chris therefore won 5. Sally couldn't have won 6 games, as she lost her first two (Clue 2), so Russell must have won 6 and Sally 4.
Dianne's high game (HG) was 601 and Russell's 597 (Clue 7). Clue 5 tells us that there were only two 500-games, so the other missing score is a perfect square between 471 and 499 (Clue 4), therefore it's 484 (22^2). Clue 4 also says this was scored by the player who came third, i.e. Chris. Clues 4 and 6 tell us Edie scored 576, which leaves Sally with 470.
The missing high word (HW) scores both end in 5 (Clue 5). One must be 95 and the other is either 105 or 115. Clue 8 says there must be a gap of 8 between scores, so 105 is the only possibility. This was Russell's HW and so Dianne scored 97 (also Clue 8). Edie had the other 500-game, so must have the HW of 95 (Clue 5). Chris didn't get the highest word score (Clue 1), so he scored 90 and Sally 121.
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