To me, it really doesn't sound like you're mature enough to move out and live on your own, and that you certainly don't know the expenses involved. Rent, Council Tax, TV licence (if you have a TV), gas, electricity, water… all these things have to be paid for before you even begin to pay for your day to day expenses like food and travel. Even with a full time job, these things can take up a HUGE wedge of a wage or salary, especially if you’re living on your own. You can’t expect the government to just pay for your entire lifestyle – it’s the start of a very slippery slope in my opinion, and I as a tax payer, wouldn’t want my taxes paying for your entire lifestyle just because you don’t get on with your Mom and are still in education.
As far as I see it, you do have a home. Work things out with your Mom for at least the next two years of education – finish your A Levels and then you can start living your own life (whether that be at Uni or by getting a job). I think it’s a good idea to try and earn a bit of money, and pay your way at home. It’s not uncommon to pay rent to your parents above the age of 16, and don’t think you’re being hard done by if asked to do chores. Education and A Levels is not an excuse not to contribute to the home unfortunately.
Once you move out, it’s very hard to re-establish that sense of “home” – trust me. Enjoy it for as long as it lasts. I never used to get on with my parents for most of the time, and often wanted to move out – but I wanted to do it on my terms and not with handouts from the government. You’ll probably screw up your education more living on your own, than you would living at home.
Sorry if I sound harsh, but you don’t seem to have any grasp of what living on your own in like and what it involves. It’s a fantasy to you at the moment, and the reality would be a sharp bump.