Unis for investment banking?

I am currently in year 12 considering my options for unis and degree apprentaships. In my GCSES I achieve 5 6’s and 4 7’s with a 6 in maths and English. I currently study psychology, economics and geography for my Alevels and I am predicted AAA*. I noticed every course needs maths though so I am going to start doing that. 
 

LSE- I am most interested in LSE are my GCSEs to low for LSE or does it not matter too much if I achieve all A* and an A in maths?

I am also interested in Oxford and Cambridge are my GCSEs also too low for them and are there any other unis that are good for investment banking

Furthermore I am considering degree apprenticeships but I have heard that you can get kicked to back office after your apprenticeship has finished does anyone know if any good investment banking degree apprenticeships?

Finally, if my GCSEs are too low for unis such as the likes of LSE and oxbridge what are my options?

 

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