If you do well in math, you probably will do better in the disciplines that use math.
Mathematics and physics are both required for computer science and computer engineering degrees; chemistry might not be, depending upon your individual school.
nothing and everything
computer science engineering
you wont always fail
That depends on the individual
No. You can still excel or do well in physics even if you are not good at computer science and chemistry. For example, physics is one of my favorite subjects, and I am pretty good at it. I am also good in math, but have never done anything computer science-related. I dislike chemistry, but love physics. I do not know much about the engineering aspect though, sorry. I'm sure you'd be fine though.
Science is more about vocabulary while math is about numbers
Math is used to describe nature. Chemistry and physics are described by math and engineering is the application of these sciences. Computer science requires math because code writing and design of parts all require math to be proficient. If you study engineering at university you will take 2 years of calculus before you can get into pro school.
Chemistry, Biology, Physics, Astronomy, Botany, Engineering. That's all I got, and Engineering isn't all science.
Not necessarily but you will be expected to understand computing - as a tool for aiding complex calculations, not an end in itself. You are right about the maths, but economics? Engineering is the practical application of science, principally physics but also chemistry.
The fact that it's required to even begin to understand fundamental theory in all of them?
They do, as do many fields that are not science.