Yes, solving previous years question papers of UPSC Mathematics optional subject can help in improving time management skills. Here's how:

1. Familiarity with exam pattern:
- Solving previous years' question papers will give you an insight into the exam pattern, types of questions asked, and the level of difficulty.
- This familiarity will help you understand the time required to solve each question and allocate your time accordingly during the actual exam.

2. Practice under timed conditions:
- Solving previous years' question papers will allow you to practice solving questions within the time constraints of the actual exam.
- Time management is crucial in UPSC exams, and practicing under timed conditions will help you develop the ability to solve questions quickly and efficiently.

3. Identify your weak areas:
- By solving previous years' question papers, you can identify the topics or areas where you are facing difficulties or taking more time to solve.
- This awareness will allow you to focus more on those areas during your preparation, thereby improving your overall time management.

4. Develop effective strategies:
- Solving previous years' question papers will help you develop effective strategies to tackle different types of questions.
- You can learn shortcuts, tricks, and techniques to solve questions faster, thereby saving valuable time during the exam.

5. Build confidence:
- Regularly practicing previous years' question papers will build your confidence as you become familiar with the exam pattern and gain experience in solving a variety of questions.
- This confidence will enable you to manage your time effectively during the exam, reducing stress and improving your performance.

Conclusion:
Solving previous years' question papers of UPSC Mathematics optional subject is an effective way to improve time management skills. It helps in understanding the exam pattern, practicing under timed conditions, identifying weak areas, developing effective strategies, and building confidence. Regular practice of previous years' question papers will enhance your ability to manage time efficiently during the actual exam, thereby increasing your chances of success.