1. The problem of monkeys sharing peaches: examining people's logical thinking and mathematical ability. The solution needs to use mathematical knowledge and logical thinking. This problem can be solved by listing equations. Suppose there are x peaches and y monkeys. Every time the monkeys will divide the peaches equally, there will always be one peach left. This peach will be thrown away. Ask how many peaches and monkeys there are first.
2. Insect erosion calculation problem: it is a formula that replaces numbers with letters or spaces, and the formula is restored by the problem solver. The so-called moth-eaten calculation means that part of the original formula was bitten by insects, and the bitten letters need to be judged according to the remaining numbers.
3. Four-color problem: Four-color problem, also known as four-color conjecture, is one of the three major mathematical problems in the modern world. Countries with the same border can be painted in different colors with only four colors on any map. The problem is: how to color all areas on the map with the least color, so that the colors of adjacent areas are different.
4. Mathematical problems in origami: This is to study the art of origami from a mathematical point of view, such as studying the extensibility of a specific paper model (whether the model can be flattened without breaking) and using origami to solve mathematical equations.
5. The problem of keeping chickens and rabbits in the same cage: This is one of the famous typical interesting problems in ancient China. This problem was recorded in Sun Tzu's calculations about 65,438+0,500 years ago. The content is that there are pheasant rabbits in the same cage, with 35 heads above and 94 feet below. Ask the geometry of pheasant and rabbit.