It is crucial to have a clear understanding of the syllabus for the Mathematics section of the UPSC exam. This will help you identify the subtopics you need to focus on and prioritize your preparation accordingly. Familiarize yourself with the different areas such as algebra, geometry, trigonometry, calculus, statistics, and so on.


Before diving into complex problem-solving, ensure that you have a strong foundation in the fundamental concepts of mathematics. Review the basic principles, formulas, and theorems. Practice solving simple problems to reinforce your understanding of the basics.


Regular practice is key to improving problem-solving skills in mathematics. Solve a variety of problems from different subtopics regularly. This will help you become comfortable with different types of questions and develop strategies to approach them effectively. Use textbooks, previous year question papers, and online resources to access a wide range of practice problems.


Mistakes are a natural part of the learning process. Whenever you make a mistake, take the time to analyze it and understand where you went wrong. Identify the concept or technique that you struggled with and work on improving it. This will help you avoid similar mistakes in the future.


If you encounter difficulties in understanding certain concepts or solving specific types of problems, seek guidance from teachers, mentors, or fellow aspirants. Joining a coaching institute or online forums can provide you with valuable insights and explanations from experienced individuals.


Mathematics problems often require logical thinking and step-by-step approaches. Develop problem-solving strategies such as breaking down complex problems into smaller, more manageable parts, visualizing the problem, and using diagrams and graphs to aid understanding. Practice applying these strategies to different types of problems.


Time management is crucial during the UPSC exam. Develop the ability to solve problems within the given time limit. Practice solving problems under timed conditions to improve your speed and accuracy. Identify time-consuming areas and work on improving your efficiency in those areas.


Regularly review and revise the concepts and techniques you have learned. This will help reinforce your understanding and ensure that you do not forget important formulas or methods. Make concise notes or flashcards for quick revision before the exam.

Remember, improving problem-solving skills in mathematics requires consistent effort, practice, and perseverance. Stay motivated, stay focused, and keep pushing yourself to solve increasingly challenging problems. Good luck with your UPSC preparation!