History at London universities

So I have my A Level grades already, I tried to apply to Economics this year around and only got an offer at Birmingham university, and I'm not too sure if I want to stick to economics anyway now. So I was thinking of going down the History route instead. My grades were, Economics - A*, History - A* and Maths - B, and in my GCSES I got 3A*s, 7As and a B. The only problem is I don't want to not get a place, I was thinking of applying to LSE, UCL, King's College and I would have 2 other options. LSE want AAA, which I don't have, due to my B in Maths, but do you think universities would still take me in? Let me know your thoughts, thanks!

UCL want AAA-A*AA and King's want A*AA, so it's not just LSE you might have problems with because of your B in Maths.

Do you mean you want to apply to start this September or next year? The former will be more difficult because of the lateness of any application.

I mean for 2014 entry.