The statement seems absurd to me.
No.
no
Possibly. You also have to be good at and enjoy engineering concepts which do involve math.
No, mathematics and writing skills are completely separate skill sets, most people are either good at one or the other, few are good at both. It's a good idea to work on your writing skills but in most math based jobs like accounting and engineering, you don't need writing skills as much as your mathematical skills.
After my opinion it is not true: if you are good at mathematics you must be good at chemistry and physics.
No.
No, it is not true. It is false. In order to PASS physics, chemistry, and engineering, you must be pretty good at mathematics.
No.
You'll certainly not fail physics BECAUSE you are good at math - you NEED math for physics and engineering.
no
I very much doubt it. You need Mathematics to understand Physics and Engineering. Perhaps if you are transfixed by the sheer almost crystalline beauty of Number Theory or the deep pools of structure hidden in the set of Primes then you may not have much interest in such mundane subjects as physics or engineering.If this is the case then you are not merely "good" at maths.You are a Born Mathematician.
No, it's not true, lots of engineers are very good with mathematics, physics and their engineering but they cannot write a good paper for their life.
No, you will fail those subject that you do not study for. Passing or failing is in your hands not "fate".
Not true. Chemistry is easier than Mathematics.
No, it is not true.
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.
No