Natural Sciences entry requirements

Hi,
I am taking Maths, economics and chemistry and wondering if its likely that I will get into natural sciences at Cambridge (given good grades and a personal statement)

Likely? No. Sorry.
On a pure numbers basis, Natural Sciences at Cambridge gets about four applicants per place, so a significant majority of applicants don't receive an offer.
Also, see their subject requirements on this page:
"To apply to any of our Colleges for Natural Sciences, you will need A levels/IB Higher Levels (or the equivalent) in:
Mathematics
2 other science or mathematics subjects (please see lists below for College specific requirements).
Colleges may require you to achieve A*/7 in Chemistry and/or another science or mathematics subject.
Please note, ‘science/mathematics subjects’ refers to Biology, Chemistry, Physics, Mathematics and (A Level only) Further Mathematics. If you’re studying a science not listed above as your third subject, please contact the College you wish to apply to for advice."
Note that Economics does not appear in their list of "science/mathematics subjects". As they say above, you should therefore "contact the College you wish to apply to for advice."

it was worth a shot.

thank you anyway!