I set out on a quest to Newmarket last weekend but the direct route suffered from a lack of footpaths so I went this very round-about way and arrived quite late.
I would recommend skipping the first part up to Fulbourn: not Cambridge’s most interesting suburbs. But after that the scenery was great, definitely the east is where all the region’s nice countryside is.
Here’s some strange churches I discovered at Swaffam Prior.
Finally I crossed the famous Newmarket race course. Quite literally cross the course at one point as the path apparently ran across it, although the whole place was deserted at the time.