Dear Sir/Madam,
I am an oversea student, this is the final year of my first degree(Bsc biochem), I found out our department homepage says the funding for non Euro are extremely competitive. Now, I am expecting a 2:1 degree for my Bsc, do I worth to try the application of this department. In addition, my department is quite good in biochem, it is rated as 5*, thank you very much!

sorry, I mean either fundings for a Phd or a Msc degree, thanks

It is worth trying, but you should start early. Full scholarships for international students are rare and you will need to spend a lot of time on the web sites of individual universities to seek out special scholarships. The first thing you should do is contact the Department of Education in your home country. You should also contact the British Council (again in your home country).