Hello... I am currently a newbie in mathematical competitions... It's my first time joining mathematical Olympiads, not to mention, starting from Philippine Mathematical Olympiad this year. I have some questions regarding these contests:
In number theory, can I use the laws of algebra or (other branches of mathematics I know) in this matter? Just to ensure knowledge.
How much do I need to know mathematics (apart from the mathematics subjects offered in my school and that I parallel study or independent study) in order to succeed in the contest? The subject is very new to me, yet I know some of the concepts yet I don't master some.
In mental competition, how does one achieve answer especially questions are difficult when mentally calculated? (Actually, I don't have much experience with mental calculations, except for MTAP orals.)
Thanks in advance for answering and good day!