Just buy a tool to cut your SIM down to the correct size, should be available on ebay. The actual SIM part of the cards are the same - although I think you have need a LTE SIM for full speed, may depend on provider...

I printed off a template to cut my normal sim to micro/ nano (cant remember which) for my Nexus 4. I just used some kitchen scissors and a little hand file to clean up the edges.

You're in luck - MicroSIM.

If it's anything like the 2013 Nexus 7, it'll be a micro SIM.