Honestly never really thought about tracing it.Why are you trying to stick a paper template to the foam? I would think that would just gunk up the surface of the foam and make tougher to get a nice surface finish later on.
Why not just trace the patterns onto the foam?
Same here,although you could probably suffice with making 'dots' on every corner with push pins and 'connect' them with your cuts.The tracing with a pen to me is just a backupI like (...) holding it in place with push pins or thumb tacks while I trace it. And then I cut it out.
Some people like to cut the foam with just the paper on top of the foam, but I have a hard time keeping everything lined up right if I'm cutting and moving around. Better for me with a ballpoint pen outline.