Nearly every Thursday evening up until about Easter time (March/April), this one guy--probably in his early twenties or so, and who I can only assume is some homeless bum--often walked up to me when I was waiting for the bus home from college and asked me if I had any spare change. When it frst started happening, I got a bit taken by surprise, but after a while I just responsded with "sorry, mate, I've only got enough for the bus home".
Perhaps one of the most random things that a stranger's ever asked me was on one of my last days of term (again, waiting for the bus): this old black guy came up to me asking if I had a TV, Sky, broadband, Freeview, etc, etc. He then offered me his "card"--to which I declined--and walked off.