Ummm, I read about some 3000 year old trick to stop nose bleeding:
Don't tilt your head anywhere. Keep it balanced, like you're standing up straight. It's still probably safer to sit while doing that lil trick.
Then simultaneously slap your forehead with your palm while hitting the back of your neck with the edge of your other hand. Don't hurt yourself but dont go too soft either. Do this three times in a row, in quick succession. Like... about 1.5 seconds for the three hits. I cant remember the correct position on the back of your neck, whether its closer to the skull or closer to the "base" of the neck, but I think aiming for the center, roughly, should do it. You shouldnt hit so hard you could cause any damage, anyway. Again, no teasing, either.
Oh, and it's better if somebody else does it for you, while you just sit there, but if you're not totally faint in nature you can do it yourself, standing up, wherever you are.
The bleeding wont stop instantly but definetly very quickly, usually in ... i dont know, a few seconds, maybe 20 tops. Works a treat, really. Has something to do with the blood circulation in the head, maybe it was a blood pressure thing and supposedly it's a very "healthy" way to stop the nose bleed.
I use it (on other people, mostly, since I rarely ever have to do it to myself) regularily for -I dont know... 15 years?- and it has helped everytime, as far as I can remember.