## Get ready for the Games: Olympic logic

Submitted by Marianne on July 25, 2012While the athletes are flexing their muscles, why not train your brain with these two Olympic puzzles? There'll be another two tomorrow.

### Medals Count

Given the following clues, can you work out the number of gold, silver and bronze medals that France, Italy and Japan got?

- Japan has 1 more gold medal, but 3 fewer silver medals, than Italy.
- France has the most bronze medals (18), but fewest gold medals (7).
- Each country has at least 6 medals of each type.
- Italy has 27 medals in total.
- Italy has 2 more bronze medals than gold medals.
- The three countries have 38 bronze medals in total.
- France has twice as many silver medals as Italy has gold medals.

### Football Champ

Three teams A, B and C have each played two matches.

Three points are given for a win and one point to each team for a draw.

The table below gives the total number of points and goals scored for and against each team.

Fill in the table and find the scores in each match.

Teams | Games Played | Won | Drawn | Lost | Goals For | Goals Against | Points |
---|---|---|---|---|---|---|---|

A | 2 | 5 | 3 | 3 | |||

B | 2 | 2 | 1 | ||||

C | 2 | 3 | 2 | 4 |

These brain teasers come from our sister site NRICH, which also has detailed teachers notes for them.