Yes, solving previous years question papers of UPSC Mathematics optional subject can help in managing time during the actual exam. Here's how:

1. Familiarity with exam pattern and question types:
- Solving previous years' question papers gives you an understanding of the exam pattern, types of questions, and the level of difficulty.
- This familiarity helps you strategize your time allocation for different sections and question types.

2. Time management skills:
- Solving previous years' papers under timed conditions helps you develop time management skills.
- You become accustomed to the time constraints and learn to allocate appropriate time to each question or section.
- This practice enhances your speed and accuracy, enabling you to complete the exam within the given time frame.

3. Identifying frequently asked topics:
- By solving previous years' papers, you can identify the topics that are frequently asked in the exam.
- Focus more on these topics during your preparation to maximize your chances of scoring well in the actual exam.
- This targeted approach saves time as you can prioritize your study plan accordingly.

4. Practice of solving complex problems:
- UPSC Mathematics optional subject often includes complex and lengthy problems.
- Solving previous years' papers exposes you to a variety of such problems, allowing you to practice and improve your problem-solving skills.
- Regular practice enhances your ability to quickly grasp the problem, apply relevant concepts, and arrive at the correct solution within the given time.

5. Building confidence:
- Solving previous years' papers gives you a sense of confidence and familiarity with the exam.
- It reduces exam anxiety as you become comfortable with the format, question types, and time constraints.
- This confidence positively impacts your performance during the actual exam, allowing you to manage time effectively.

Conclusion:
Solving previous years' question papers of UPSC Mathematics optional subject is an excellent strategy to manage time during the actual exam. It provides familiarity with the exam pattern, enhances time management skills, helps identify frequently asked topics, allows practice of complex problems, and builds confidence. By incorporating this practice into your preparation, you can optimize your performance and increase your chances of success in the UPSC Mathematics optional subject exam.