Mt Wellington has awesome mountain biking.
The official Wellington Park Bike Map can be found at http://www.wellingtonpark.org.au/maps/
A lot of the trails can be linked up with trails in South Hobart
Big Bend
Radfords Track
Junction Cabin
Pipeline Track
Main Firetrail
Illegal Tracks
The following tracks on the mountain are ridable but illegal: Lenah Valley Track, Middle Track, Fingerpost Track, Woods Track, Sawmill Track and others.