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After my opinion it is not true: if you are good at mathematics you must be good at chemistry and physics.
It's correct to say that a person is good AT mathematics.
No. Albert Einstein is usually considered to have been a Physicist. But in order to do what he did in Physics, he needed to use tons of high-power mathematics.
You HAVE to be good at mathematics to be good at chemistry, physics and engineering. It's not a handicap, it's a necessity.
You will need to study Physics and Mathematics (preferabley with Mechanics) at A-level. Then do a degree in Physics at university though that is to general, you will need to specialise in a certain subject.