Class 11

St. Paul, Sri Satya Sai Vihar, Daly College, Emerald Heights, IPS are some of the good schools you can opt for maths.

You can get them from market book store. You can also check CBSE's website and mycbseguide.com.

Are you looking for applied arts or applied science?
You can check The College of Applied Science in Kerala.

You should choose your stream according to your interest because your biology is too good. You should not worry about mathematics and physics. If you put some efforts in these subjects, you will surely get success.

Every competitive exams needs the concepts to be rigid. If you do not have some high class knowledge, then it will do, but if your basics are not clear, then it will be a trouble for you. Being a science student, you have chosen for JEE Mains, it means that you aspire to become an engineer.
Being passionate, you must have some basic knowledge. There is still time, you can devote more time to clear your concepts. You can practice more and enjoy while you prepare. I think you will gain interest in the subjects.
Best of luck.

Hi,
To improve your mathematics, you can take some coaching classes and do practice. You need to understand the question and the basic concept behind it.

Hi,
It depends from school to school. The top ranked schools will require SAT. TOEFL is also for English language ability. You should connect with some high schools.

Maths is not tough and you should not fear it. With good external help, you can improve your maths fundamentals and overcome the fear of maths. Commerce with maths opens wider choices/options and will help you both in your studies and career, therefore, I will recommend you to opt for commerce with Maths in ISC.

JEE hotel management is an all India level exam conducted by the NCHMCT every year for admissions in IHMs. The exam has 5 sections:
1. Quantitative aptitude.
2. Logical reasoning.
3. GK and current affairs.
4. English.
5. Service aptitude.
It is a 3 hour exam, so there will be a lot of time. Now, you can either join some coaching or you can go for self-preparation.
Books:
1. Quant: RS Agarawal.
2. Reasoning: Verbal and non-verbal reasoning by RS Aggarawal.
3. English: You should read newspapers. Norman Lewis for Vocab.
4. GK/ CA: Newspaper for current affairs and Lucent for static GK.
5. Service aptitude: RS Aggarawal.