Is it worth applying to Trinity?

Hello, I will be applying to Cambridge this year for maths, however I am still floating between the college I will be applying for. The one I would most want to go, but the one I am equally concerned about is Trinity. It is by far my favourite college, and has a strong mathematical community, but I have heard it is difficult to get into by Cambridge standards, and I heard a big thing for them is Olympiads, which I have done, but not greatly. I have a lot of strong things to put on my statement, and I believe in any other college I would probably fair a good chance, but I have heard Trinity is on a whole other level. I was wondering if I would be more likely to be pooled/rejected if I applied there (At current, the list goes Trinity, T. Hall, G&C, Peterhouse in terms of the ones I like the most)

Trinity would be more likely to reject you - by quite a lot. This is because they have such a high number of applicants they can't interview a lot of applicants who would get interviews elsewhere, and so anyone with a weaker paper application might not even get the chance to prove themselves at interview.

Thank you very much, I greatly appreciate the advice. It is true, the higher number may just mean that could cause me to get rejected, and my goal is Cambridge in general over Trinity specifically, so best avoid that. Would smaller colleges have the opposite issue? Meaning because they get so few applicants, each one faces more scrutiny? As I was thinking T. Hall for my second choice, but I was thinking that might make it potentially risky to apply for due to the aforementioned scrutiny on each applicant.

Thank you very much, I greatly appreciate the advice. It is true, the higher number may just mean that could cause me to get rejected, and my goal is Cambridge in general over Trinity specifically, so best avoid that. Would smaller colleges have the opposite issue? Meaning because they get so few applicants, each one faces more scrutiny? As I was thinking T. Hall for my second choice, but I was thinking that might make it potentially risky to apply for due to the aforementioned scrutiny on each applicant.

Thank you very much, I greatly appreciate the advice. It is true, the higher number may just mean that could cause me to get rejected, and my goal is Cambridge in general over Trinity specifically, so best avoid that. Would smaller colleges have the opposite issue? Meaning because they get so few applicants, each one faces more scrutiny? As I was thinking T. Hall for my second choice, but I was thinking that might make it potentially risky to apply for due to the aforementioned scrutiny on each applicant.