This solution was submitted by Wymondham High School who reasoned their solution in the following way:
To start off we tried to work out the logical answers. For example where it says 'D had no points', it was obvious they had neither a win or a draw.
Then we found out that 'For' and 'Against' columns must add up to the same number. In the end we put 4 in the 'For' column and 2 in the 'Against' column.
At one point we worked out the results to each match. These were:
| A v B | 0 - 2 | B v C | 2 - 2 | C v D | not played |
| A v C | 2 - 2 | B v D | 1 - 0 | ||
| A v D | 2 - 0 |
Here is the finished table of results:
| Team | Played | Won | Drawn | Lost | For | Against | Points |
| A | 3 | 1 | 1 | 1 | 4 | 4 | 3 |
| B | 3 | 2 | 1 | 0 | 5 | 2 | 5 |
| C | 2 | 0 | 2 | 0 | 4 | 4 | 2 |
| D | 2 | 0 | 0 | 2 | 0 | 3 | 0 |
Correct solutions to the problem were
also sent in by:
Daniel and David from Archbishop Sancroft
High School, Mary from West Flegg Middle School, Ruth from Lynn
Grove High School, and students from Necton Middle School and
Sheringham High School.