King Kreso had decided that one of his daughters, princess Ikani had to marry the mean grave Gwenn. When Ikani did hear of this she started crying for days and she did not want to eat anything anymore. The king became a little bit uncomfortable with this situation, so he decided that she should take a small stone from a hat. If Ikani would take the white stone, she would have to marry grave Gwenn, if she takes the black one she would not have to. Some days later, grave Gwenn, King Kreso and Ikani are together on the lane to the castle which is paved with small black and with stones. The king asks grave Gwenn to take two stones and put it in his hat. Princess Ikani sees that the mean grave puts in two white stones. She thinks of saying this, but then most likely the procedure has to start over. Suddenly she gets a great idea. Some minutes later it is decided that princess Ikani does not have to marry grave Gwenn. What did princess Ikani do?

Somebody would like to have a new garden with 10 trees which have to stand in 5 rows of 4 trees each. How can he or she achieve this? After the new garden has been layed out, neigbor Sym becomes enthousiastic. He says: "I also would like to have a new garden with trees. But it should have 12 trees which have to be planted in 6 rows of 4 trees each. Furthermore, my garden should be symmetric." How will his garden look like? And can you tell something more about Sym?

Imagine you are a pilot of a plane. You are going to fly a plane from Northern Maine to Los Angelos, California, which is 3000 miles. It takes 10 hours. You drive to a hotel in LA which is 18 miles from the airport. The next day, you wake up and drive back to the airport which is another 18 miles. You fly another plane up to Vancouver, Canada which is 700 miles. When you arrive in Canada, you go into the employees lounge and you sleep at the airport that night. The next day, you fly a long trip to Sydney, Australia which is 10,000 miles. You stay in Sydney for 3 days, and then you fly all the way back to Northern Maine, where your home is. The flight is 12,000 miles. How may miles did you go in total and how old is the pilot?