Football Competition

During the recent football competition, 5 schools were competing. Each school played each other once, with 2 points for a win, 1 point for a draw, 0 points if they lost. Here are the final points after all of the matches: 
A     6
B      5
C     4
D      2
E      ?
How many points did E end the season with?

Answer:
3.

Since there were 5 teams in the league there were a total of 10 possible games (either way around):
Since each game distributed 2 points to the two teams there were a total of 20 points available to the league.

The results shown add to 17, leaving the remaining 3 to E.

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