<p>Unlike some other posters, I think you have to improve your AP scores. I believe Cambridge expects 5s on relevant APs. I am also of the impression that the top British unis want to see 700+ scores on SATIIs. Your GPA probably will count because you are in college and you seem to be competitive at Columbia, which looks great. On a separate note, I think you are wise to not consider Scandinavian universities.</p>