1, different teaching methods: kangaroo mathematics and Olympic mathematics have different teaching methods. Kangaroo Mathematics focuses on cultivating students' logical thinking and problem-solving ability, and stimulates students' interest through interesting games and competitions in an entertaining way. Olympic Games pays more attention to the cultivation of theoretical knowledge and application ability, and uses rigorous logical reasoning and proof methods to train students' thinking ability.

2. Different teaching contents: Kangaroo Mathematics and Olympiad Mathematics are also different in teaching contents. Kangaroo mathematics mainly covers the mathematics knowledge of primary school and junior high school, including arithmetic, geometry, algebra and so on. Olympic Mathematics pays more attention to the mathematical knowledge of high schools and universities, involving a wider range of fields, such as calculus and linear algebra.

3. Different exam forms: Kangaroo Mathematics and Olympiad Mathematics are also different in exam forms. Kangaroo mathematics is mainly tested in the form of competitions, such as the national mathematics competition for primary and secondary school students and the international mathematics competition. Olympic Games pays more attention to theoretical proof and application ability test, such as the national high school mathematics league and the national college students' mathematics competition.