Yes. Both use math; especially physics requires a lot of advanced math, at least at the more advanced levels.
Apparently, you haven't had much exposure to Physics, Chemistry, or Engineering, have you. Yes, they all do. In increasing order of mathematical intensity, they are Chemistry Engineering Physics
Yes indeed
Mathematics is a language that relates concepts to each other. Physics and chemistry can use mathematics as a tool for exploring and discovering relationships. On another view, physics and chemistry are physical manifestations of mathematical relationships.
Physics and chemistry use mathematics in order to quantify their observations about the world. Most mathematics were invented by scientists who needed the math to quantify their work.
Not to put too fine a point on it, but yes.
Yes, in chemistry and mathematics mainly. But in Engineering also.
Yes, chemistry uses mathematics. But being great with mathematics is not enough for studying chemistry: you must enjoy the subject.
Mathematics is the language of physics, and all the sciences are branches of physics. So if we are to explain, describe, or understand anything in our universe, we must use mathematics in one form or another to come to that understanding.
Obviously, in order to pass an examination in chemistry, physics or an engineering subject, you'd need to know something about the chosen subject beyond mathematics. However, all sciences heavily rely and use a lot of mathematics. You will find passing any such examination really difficult without a sound mathematical background. Therefore, the answer to this question is No. Being an expert mathematician will be beneficial when studying any science or engineering subject, and not being good at mathematics will be a marked disadvantage.
Of all the sciences, physics is very demanding for maths. So if you are really strong at maths, physics might just be for you
Mathematics is the language of science and thus chemistry uses math. It is difficult to say how much math is involved but Physical Chemistry and Theorectical chemistry use quite a bit more than Organic or Inorganic Chemistry. Physical and theoretical chemistry probably involve over 40 % math.
More than possible. It's a necessity. Physics is very much mathematics. Even the very simplest physics laws like Ohm's Law (3 variables) or the action of a crow-bar (4) are numerical, albeit just simple arithmetic. Chemistry may be less so, but you still need to know at least some maths and have the mathematician's logical mind. In fact there are few, probably no, areas of science that do not use mathematics.