Pure mathematics is an abstract field related solely to axions and theorems. Applied mathematics is the use of mathematics in other fields like engineering economics medicine natural science. Some fields like computer science are derived from applied mathematics.There are a lot of physics competitions held at the school and high level but the competitions at the college are more time consuming and are fewer in number since only a small number of school students study physics in high school.
Most of the major universities like MIT University of Pennsylvania in USA conduct competitions in physics and related technical subjects for students.
MIT Caltech are other tech schools usually have a robotic competition annually. The practical application of physics principles is tested. The problems at the International Physics Olympiad are usually from the syllabus prescribed and if a problem is from outside the syllabus sufficient information will be provided to the students.
All problems are set in SI units