>>13222881Best way to git gud at contest problems is to build up experience. Old putnam tests should be available for free online. If you're just starting, the very old tests (pre-80's or so) are significantly easier overall than later ones. You can also look at USAMO or IMO problems, though the subject matter is a little different usually. If you want books (which will often have easier problems more geared toward beginners) find ones that are specifically aimed at contest training and have long long problem lists.
>Project EulerDon't know much about the site but just clicking around it seems like the problems are meant to be solved with the help of computers (or at least would be much much easier with computers and there's nothing stopping you). That's very different from putnam-style problems which are timed with no outside aids.
>Putnam and BeyondSeems like that book is 90% teaching you shit and 10% problems. A high degree of fluency in the subject matter is required but if you haven't already learned the topics you won't be able to learn them well enough just from a book like that. Probably has some good tips if you do already know the topics though.