Problem of the Week

Mild

Olympic Rings

If you had to place the 5 Olympic circles in a row (like the picture above), how many different ways could you order the 5 Olympic circles so that you never repeated the pattern? Above shows one way you could do this.

Spicy

Medals Count

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

• 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.