Enigma 344: Five-nations championship
From New Scientist #1493, 30th January 1986 [link]
England, Scotland, Wales, Ireland and France took part in the Rugby union five-nations championship, each country playing each other country once. Two match points were awarded for a win and one match point for a draw, and the total number of match points gained by each country was: England 7, Scotland 6, Wales 4, Ireland 2, France 1.
No two matches had the same score and no country scored more than six points in any match; but each country scored exactly the same number of points in the championship as each other country, and Wales also had this number of points scored against them.
Those not familiar with the point scoring system of rugby union merely need to know that it is not possible for a side to score one, two or five points in a match.
What were the results and scores of Wales’s matches in the championship?