Get ready for the Games: Olympic logic II

Yesterday we brought you two Olympic brainteasers. Here are another two. Enjoy!

Fencing

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.