Don't know how you charge up through levels like that,
It's easy, my ten year old son is currently level 11 with about fifteen hours in.
Make sure you are a member of a guild with practice rooms available or you own your own home(neither are required, but it makes it easier). Then you need a conjuration spell- for really low levels you can use a scamp or skeleton(currently I'm using Lich and Xivoli). When you summon a creature you get a few free shots on it whatever way you would like- weapon, hand to hand or magic. You can have your summoned creature dead or close to it before it starts attacking you. If you run into trouble, cast the same spell and you will resummon the same creature and it will be back to being on your side(the hostile summon instantly vanishes).
If I was looking to level up as fast as I could I would have been capped by now, but I also work on getting my multipliers up as high as possible which means I have to train minor skills up at least ten before I level up(use hand to hand or blunt to get my strength up etc). I still haven't touched the main quest, did a bit for the dark brotherhood, taking advantage of some of the 'fame' quests(ones that become available after your fame rating gets high enough) and working my way through the mage's guild.
My son is an Orc warrior and he is using the same technique I am(he is also handling guild quests, not like he's just grinding). You need not be a mage.