Do I stand a chance of getting into The University of Cambridge for Maths/Mechanical Engineering?

It is true that Cambridge look for A* students but your grades are not all that bad, and considering all your extra work done on the subject. they are most likely to consider your a student. it is awesome that you got some work experience but make sure that it is not all about the academics when you apply. Cambridge as a top notch school looks for all rounders. So show a bit of extra curricular and other things as well. nut i should say with your marks you have a pretty good chance at getting an interview. for more info go check their admissions page @ http://www.cam.ac.uk/admissions/undergraduate/apply/