Analyzing your performance while solving previous years question papers of UPSC Mathematics optional subject is crucial for understanding your strengths and weaknesses, identifying patterns, and improving your preparation strategy. Here is a detailed guide on how to effectively analyze your performance:

1. Start by Solving the Question Paper:
- Begin by solving the previous years question paper in a timed manner, just as you would during the actual exam.
- Take note of the time taken to solve each section or question.

2. Review and Evaluate Answers:
- Once you have completed the paper, review and evaluate your answers.
- Identify the questions you were able to solve correctly and those you struggled with.
- Note down any mistakes or errors made during the solving process.

3. Identify Patterns and Areas of Improvement:
- Analyze the questions you were unable to solve or made mistakes in.
- Look for patterns or recurring topics where you faced difficulties.
- Identify the specific areas of the syllabus that need improvement.

4. Assess Time Management:
- Evaluate the time taken to solve each section or question.
- Note any sections or question types that consumed more time than necessary.
- Identify strategies to improve time management, such as practicing more speed-based questions or adopting better problem-solving techniques.

5. Seek Conceptual Understanding:
- Focus on understanding the underlying concepts and principles related to the questions you struggled with.
- Refer to textbooks, reference materials, or online resources like EduRev for detailed explanations and examples.

6. Practice and Review:
- After identifying your weak areas, allocate more time for practice in those specific topics.
- Solve additional practice questions and revisit the concepts you find challenging.
- Regularly review and revise the topics you have covered to reinforce your learning.

7. Track Progress:
- Keep a record of your performance over time.
- Maintain a log or spreadsheet to track the number of questions attempted, correct answers, and areas where improvement is needed.
- Regularly compare your current performance with previous attempts to gauge your progress.

By following these steps, you can effectively analyze your performance while solving previous years question papers of UPSC Mathematics optional subject. This analysis will help you understand your strengths and weaknesses, focus your preparation, and improve your overall performance in the subject.