1. Solid basic knowledge of mathematics: Olympic games topics in mathematics often involve high-level mathematical knowledge, so participants need to have solid basic knowledge of mathematics, including algebra, geometry, probability and so on.

2. Fast calculation ability: The topic of Olympic Mathematics often needs complicated calculation, and the contestants need to have the ability of fast calculation and be able to complete the calculation steps in the topic quickly and accurately.

3. Logical thinking ability: The topic of Olympic Mathematics often requires contestants to make logical reasoning and analysis. Contestants need to have strong logical thinking ability and be able to extract key information from problems for reasonable reasoning and analysis.

4. Innovative thinking ability: The topic of Olympic Mathematics is often difficult and innovative. Participants need to have innovative thinking ability, be able to think about problems from different angles and find unique solutions.

5. Problem-solving skills and strategies: There are often a variety of problem-solving methods and strategies for the topic of Olympic Mathematics. Participants need to have certain problem-solving skills and strategies, and be able to choose the most appropriate method to solve the problem.

6. Good time management skills: Olympiad problems in mathematics often need to be completed in a limited time. Participants need to have good time management skills, be able to arrange their time reasonably and answer questions efficiently.

7. Perseverance and patience: The topic of Mathematical Olympics is often difficult and challenging. Participants need to have persistent perseverance and patience, and be able to keep calm and work hard when encountering difficulties.