1. Understand the Syllabus

- Familiarize yourself with the mathematics syllabus for UPSC.
- Identify the specific topics and concepts that are covered in the exam.
- Create a study plan that covers all the relevant topics.

2. Strengthen Your Basics

- Start by revising the fundamental concepts of mathematics.
- Focus on topics such as algebra, geometry, trigonometry, and calculus.
- Practice solving basic problems to reinforce your understanding of the concepts.

3. Solve Previous Year Question Papers

- Solve previous year question papers to get an idea of the exam pattern and types of questions asked.
- Analyze your performance and identify areas where you need improvement.
- Work on improving your speed and accuracy in solving problems.

4. Practice Regularly

- Dedicate a specific amount of time each day for practicing math problems.
- Solve a variety of problems from different topics to develop a holistic understanding.
- Gradually increase the difficulty level of the problems to challenge yourself.

5. Use Online Resources

- Utilize online platforms like EduRev for accessing study materials, video lectures, and practice questions.
- Use interactive tools and simulations to visualize complex concepts.
- Engage in online forums and discussions to clarify doubts and learn from others.

6. Seek Guidance

- If you are facing difficulty in understanding any concept, seek guidance from a teacher or mentor.
- Join coaching classes or online courses specifically designed for UPSC mathematics preparation.
- Participate in study groups or form a study circle with fellow aspirants to share knowledge and insights.

7. Develop Analytical Thinking

- Solve puzzles, brain teasers, and logical reasoning questions to enhance your analytical thinking skills.
- Practice mental calculations to improve your computational speed.
- Develop a habit of critically analyzing the given information in problem-solving scenarios.

8. Time Management

- Learn to manage your time effectively during the exam.
- Solve questions in a systematic and organized manner.
- Prioritize questions based on difficulty level and allocate time accordingly.

9. Mock Tests and Revision

- Take regular mock tests to assess your progress and identify areas of improvement.
- Analyze your performance in mock tests and work on your weak areas.
- Revise the concepts and formulas regularly to reinforce your learning.

10. Stay Motivated and Positive

- Remember that improving mathematical problem-solving abilities requires consistent effort and practice.
- Stay motivated and maintain a positive mindset throughout your preparation journey.
- Celebrate small victories and learn from your mistakes to continuously improve.