The tasks that are offered to you this time are characterized by a weakly formalized condition. So, if you like to talk in the face of uncertainty, welcome under cat.
Task 1.Two ropes hanging from the ceiling in an empty room. The distance between these ropes is quite large, therefore, holding on to one rope, it is impossible to reach the other. The task is to tie the loose ends of the ropes, without using anything other than scissors.
Task 2.')
Two people must stand on a newspaper sheet so that neither of them can touch the other. To leave the newspaper is not allowed.
Task 3.It is necessary to throw a tennis ball so that it, after flying a short distance, stops and starts moving in the opposite direction. The ball must not hit the obstacle. You are also not allowed to hit the ball with anything or tie it to anything.
Task 4.Can you throw a cardboard match on the floor from a height of 1 m so that it falls on a rib?
Task 5.A coffee cup is hung on a hook in the ceiling about 2 m long. Can you cut the thread with scissors in the middle so that the cup does not fall to the floor? Hold the thread until you cut it, or the cup is prohibited.
Task 6.The dam lacks one brick. Through the resulting gap the size of 5 cm X 20 cm water flows. The Dutchman who discovered the leak has a saw and a cylindrical wooden pole with a diameter of 50 mm. What is the best way for him to cut a pole in order to plug the gap?
Task 7.The bottom of the wine bottle has the shape of a cylinder. Its height is 3/4 the height of the bottle. The upper quarter of the bottle, consisting of a neck and a smooth transition to the bottom, has an irregular shape. In the bottle until the middle of it is poured liquid. It is prohibited to open the bottle. Can you, using only the ruler, determine exactly what part of the volume of the bottle is filled with liquid?
UPD. All solutions found.
Thanks to everyone who participated :)