Achieving an A* in Further Mathematics at the A-level requires dedication, strategic studying, and a deep understanding of the subject matter. Here are some tips to help you excel:

1. Master the Fundamentals: Ensure you have a strong foundation in core mathematics topics like calculus, algebra, and trigonometry. Further Mathematics builds upon these concepts.

2. Understand the Specification: Familiarize yourself with the exam board’s specifications (in this case, Edexcel). Know which topics are covered and how they are assessed.

3. Practice Regularly: Further Mathematics requires practice to internalize complex concepts. Regularly work through problems and exercises to reinforce your understanding.

4. Use a Variety of Resources: Apart from your textbook, use other resources such as past papers, revision guides, online tutorials, and videos to gain different perspectives and approaches to problems.

5. Solve Past Papers: Work through past exam papers under timed conditions. This will help you understand the format of the exam and identify areas where you need more practice.

6. Seek Help When Needed: Don’t hesitate to ask your teacher for clarification on difficult topics or seek help from peers or online forums.

7. Develop Problem-Solving Skills: Further Mathematics often involves complex problem-solving. Practice breaking down problems into manageable steps and applying different techniques.

8. Create Summary Notes: Condense your notes into concise summaries or mind maps. This helps reinforce your understanding and provides a quick revision resource.

9. Stay Organized: Plan your study schedule, allocating sufficient time to each topic. Make sure to cover all areas of the syllabus.

10. Stay Positive and Persistent: Further Mathematics can be challenging, but maintaining a positive attitude and persisting through difficulties will pay off.

11. Stay Updated with Changes: Occasionally, exam boards update their syllabus or exams. Stay updated with any changes to the curriculum to ensure your preparation is aligned with the current requirements.

12. Test Yourself Regularly: Use self-assessment tools and quizzes to gauge your progress. This will help identify areas where you need further improvement.

Remember, achieving an A* requires consistent effort and a deep understanding of the subject. Stay focused, practice regularly, and don’t hesitate to seek help when needed. Good luck!