By bike
There are thousands of bicycles in Maastricht, often the young gents giving their girlfriends a lift on the parcel carrier at the back, with the girls sitting "side saddle". A charming sight, and you can join in the bicycle culture very easily, there are several bicycle hire shops in Maastricht. At around â¬10 per day 2006 prices you can explore the flat country of South Limburg. Dutch traffic law is heavily biased towards the cyclist, so you might find cars slowing down to let you pass when they are pulling in to a side street which you are about to cross - no sane car driver is going to cut you off since in the case of an accident the cyclist is always presumed innocent unless grossly negligent. Also while there are many one-way streets in Maastricht, almost all if not all of them have a cycle lane going the other way up the street. Very handy. I would dispute the previous reviewer's assertion that foot is the most attractive option, for me it has to be the bicycle.
Maastricht-Biking (http://www.maastricht-bik...) offers 2 hour guided city tours off the beaten track.
On foot
This is by far the most attractive option as it allows travellers to see the beautiful winding streets in the centre of the city, as well as experience the cultural melting pot that Maastricht's location allows. A particularly nice walk outside of the centre is along the river, from St Servaas Brug The Stone Bridge near the entrance to the city down to the JFK Bridge near the bottom, which goes through Maastricht's largest park. Visitors can then cross the JFK bridge and go to Maastricht's modern art museum - the Bonnefanten see below.
Maastricht Running Tours (http://www.maastrichtrunn...) offers guided city jogging tours in Maastricht or their green surroundings. During tours you get to see more and you do your work out at the same time. The Higlight tours is about 6km 1,5 hours. During several stops on the tour you get to hear the interesting stories behind the most interesting sights of the old historical center. The pace is very easy and adapted to the group.