I just passed exam for ITIL v3 Expert.
The exam was difficulty comparing to intermediate level.
1 case study, 10 question, 120 min (english not native) to answer.
My suggestions:
1. Read case study carefully - twice if needed
2. Learn (understand) interfaces between Lifecycle phases - SS - SD; SS - ST, SS - SO, SS - CSI, and so on.
3. Accent on CSI (Register, KPI, CSF, Service and Process Improvement) and Service Strategy
4. Gap analysis, Potter, V-Model, Risk Management (not ITIL process, but you have to relate Risks to SD processes, SWOT, SDP, Communication, BRM role and process)
5. Forget previous IT/Organizational experience when reading case study or answering questions.
Universal truth is in case study in front of you. 
6. Good luck!