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What route of education to become a quant?

I'm currently an 18 year old from the UK. I originally applied to Cambridge, LSE, UCL for economics in hoping to enter finance and investment banking. However, will doing economics restrict me in being able to become a quant?
Will I be restricted doing a bachelor's is an economics course that is very mathematical like Cambridge, LSE or UCL after which I would hope to do a masters such as MSc Financial Mathematics?
"Our minimum requirement is a 2.1 degree in mathematics, applied mathematics or physics." Imperial Mathematics and Finance Msc