A dangerous game

In Sansepolcro, a small village in Tuscany (Italy), was born about 750 years ago Fra Luca Bartolomeo de Pacioli, or even Paciolo, a religious, mathematician and economist, author of the “Summa de Arithmetica, Geometria, Proportioni et Proportionalita and the Divina Proportione”. He is recognized as the founder of accounting. Many, however, do not know that he wrote a book where he collected a series of ancient puzzles and mathematical games. The mayor, passionate about puzzles and games, has organized an international competition, using the mathematical puzzles of Luca Pacioli, so that you know his figure!

Your class has joined the initiative! But there is a small problem: the person in charge of setting up the class specifically for the test, is a fool who took this challenge too seriously! Not only has he locked you inside the room, but he has announced that if within an hour you will not be able to get out, solving all the puzzles, he will free a black widow inside the room, one of the most poisonous spiders!  It is now impossible to hold back! The door is closed and there is no way out except by solving the puzzles!