We regularly did this in Scouts in the UK in the eighties. We would have map and compass and know where we were supposed to get to, but there was general disorientation and disinformation about the starting location. IIRC we were always dropped somewhere such that the obvious path would lead us away from roads and there were certainly adults and/or venture scouts (16-21?) keeping some kind of track of us, but usually done subtly enough that we weren't aware that they were around