Mathematical problems are usually based on mathematical knowledge, syllabus, students' ability and practical problems. Based on mathematical knowledge: Mathematical topics are usually the application and investigation of mathematical concepts, theorems and formulas. The questioner will choose important knowledge points according to the mathematics knowledge he has taught.

1, then there may be some algebraic equations or inequalities.

For example, if you are teaching algebra, there may be some problems with algebraic equations or inequalities. Syllabus requirements: Mathematics topics will also be given according to the requirements of the syllabus. The syllabus will stipulate the knowledge points and skills that need to be mastered, as well as the level that should be achieved in different grades or semesters. According to these requirements, questioners will make questions with corresponding difficulties and types.

2. Math topics are not only about examining the degree of knowledge mastery.

Investigation of students' ability: Mathematics topics are not only used to investigate the degree of knowledge mastery, but also to examine students' thinking ability and problem-solving skills. Questioners will design some challenging questions to test students' mathematical ability and thinking level. Application of practical problems: Mathematical problems often extract models from practical problems and turn them into mathematical problems.

3. Students can better understand and apply what they have learned in mathematics.

This kind of topic can make students better understand and apply the mathematical knowledge they have learned and improve their ability to solve practical problems. Math Competition Topics: In math competitions, such as the Olympic Math Competition, the questioners usually design some innovative and challenging topics.

These topics often involve the comprehensive application of several mathematical knowledge points, aiming at examining students' innovative thinking and mathematical problem-solving ability. Practical application background: Many mathematical problems are closely related to practical application.

For example, geometry topics may involve architectural design, engineering drawing and so on. Algebra topics may involve financial calculation, data analysis and so on. These topics can help students better understand the practical value of mathematics and stimulate their interest in learning mathematics.