Science stream without maths

There is no clarity in the internet where you searched about this information and that is the reason why you are not getting a correct guidance.

In most of the colleges in Kerala, whether CBSE or state board, Science stream is there. Generally the subjects offered are Physics, Chemistry, Mathematics and Biology. Most of the students are opting for PCM and in many cases students for PCB are not there and if available their number is less.

In such cases the school management will discourage you to take Biology. There are schools which have held classes sometimes with 2-3 students only in Biology. Anyway, it will differ from school to school.

Now what I will suggest you is to personally contact these colleges/ schools which are near your dwelling area and try to find out where more students are there in Biology so that you can also apply there for PCB stream.

You can check the online registration for these colleges also and if that option is visible there then you can apply accordingly.

Generally colleges will have different streams for the students aspiring for engineering and students aspiring for medical line. Those who want to prepare for engineering side take Physics, Chemistry and Maths. Others interested in medical line will go for Physics, Chemistry and Biology.

This is a general pattern and should be same in Kerala also.

I suggest the best thing is to go to the nearby college and find out these details to sort out the confusion.

Probably the schools you were looking after did not include Biology in the Science - stream and the combination consisted of Physics. Chemistry and Mathematics. Hence you have to trace out all such schools/ colleges where they allow the aspirants to take up Bilogy along with Physics and Chemistry and a thorough search is required either by personally visiting the schools or even the same can be surfed out in the Internet.
The intake of students with Mathematics always exceed because of greater demand of Mathematics in the science- stream and apart from it aspirants even like to take up Operation- research and Statistics at the later stage since the demand in this area has picked up. The other positive aspect of this subject is with the application of differential- calculus, Integral - calculus and Differential - equation, you can understand Physics in a much better way. In Physics, whatever the chapter is say Electricity and Magnetism, Mechanics, Light and Sound etc we cannot proceed without having any fundamental concept of Mathematics.
However, Biology is the indispensable subjected if one would like to proceed in the field of education or certain sections such as Microbiology, Applied - chemistry or for higher persuasion in Botany or Zoology at the later stage. In view of lesser demand for the subject of Biology this provision is not available in all schools. You need to make your own effort to find out the schools maintaining the Bilogy - combination.

If you don't want mathematics stream, you can select Biology and Physical Sciences in intermediate and after intermediate, you can pursue MBBS, MDS, Ag B.Sc. BV Sc and so many other courses with this biology stream qualification of +2 or Intermediate. I am giving below some good school of State syllabus in Keala.
1. Mannam Memorial Residential Higher Secondary School. It is a co-educational boarding school in Neeramankara, Thiruvananthapuram, Kerala state, India. It has classes from Kindergarten to Class XII.
Address: NSS College Rd, Neeramankara, Pappanamcode, Thiruvananthapuram, Kerala 695018
Founded: 1970
2.Loyola School, Thiruvananthapuram. It is a private Jesuit school for boys It is in the suburb of Sreekariyam in Thiruvananthapuram city, in the Indian state of Kerala.
Address: Sreekariyam - Aakkulam Rd, Opposite CTCRI, Bapuji Nagar, Sreekariyam, Thiruvananthapuram, Kerala 695017, Phone: 0471 259 8585
3.Christ Nagar Higher Secondary school. It was started in 1976. It is in Thiruvananthapuram, India, recognised by the state government of Kerala as a minority educational institution. In 2002, Christ Nagar English High School was upgraded to higher secondary level.
Address: 11, 273, Keston Rd, Kanaka Nagar, Kowdiar, Thiruvananthapuram, Kerala 695003
Phone: 0471 231 8485
4. Nirmala Bhavan Higher Secondary School. It is founded in 1964.
Address: Shree Mahadeva Temple, PMG TTC Road Opp Kowdiar, Nanthancodu, Thiruvananthapuram, Kerala 695003
5. St. Thomas Higher Secondary School Address: Poonthura, Thiruvananthapuram, Kerala 695026
Phone: 0471 251 1122

Yes, it happens in many schools both biology and mathematics are compulsory. I remember I took both the subjects in intermediate whereas my brother took engineering drawing and mathematics as he was never interested in biology. As our school had the facility of ED so we had the option whereas in many schools in those days biology was compulsory. Here is the list of schools for your reference:

1.Infant Jesus Residential School, Kattappana (CBSE)
Address: P O P B NO 20, Kattappana Post Office, Idukki 685508 Kerala
Contact Phone Number: 486-872808

2. THOPPUMUKKU NAVEENA VIDYALAYA (CBSE)
Address: THOPPUMUKKU VATTIYOORKAVU,TRIVANDRUM

3. SARVODAYA VIDYALAYA (CBSE)
Address: SARVODAYA VIDYALAYA, BETHANY HILLS,NALANCHIRA, TRIVANDRUM-695 015
Contact Phone Number: 0471-5230831

4. . SREE CHITHIRA THIRUNAL BOARDING SCHOOL (CBSE)
Address: JAGATHY, TRIVANDRUM, Kerala- 695 041
Contact Phone Number: 0471-2341601

5. Choice School, Tripunithura (CBSE)
Address: Nadama East, Tripunithura - 682301, Kerala
Contact Phone Number: 91-484-2779057

Further you can check google for more schools and can have more list of schools.