Get ready for the Games: Olympic logic II
Yesterday we brought you two Olympic brainteasers. Here are another two. Enjoy!
Fencing Tournament
Alice, Becky, Charlotte, Daphne, Elsie and Fran decide to compete in a fencing tournament. Each competitor has to fence against every other competitor. A match results in either a win or a loss.
- No competitor lost all their matches, but one person won all their matches.
- Daphne won her match against Becky.
- Alice and Elsie won the same, odd, number of matches, but Alice lost to Elsie.
- Becky and Fran won a total of seven matches
- Charlotte won only one match, against the only other person who also won only one match.
Can you deduce what all of the results were?
Hockey
In a hockey competition, four teams were to play each other once. 2 points were awarded for a win, and 1 point for a draw.
After some of the matches were played, most of the information in the results table was accidentally deleted.
| Team | Played | Won | Drawn | Lost | For | Against | Points |
|---|---|---|---|---|---|---|---|
| A | 4 | 4 | |||||
| B | 5 | 5 | |||||
| C | 0 | 4 | 2 | ||||
| D | 0 | 3 | 0 |
Can you work out the score in each match played?
These brain teasers come from our sister site NRICH, which also has detailed teachers notes for them.
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