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I participated in some high-school-level math competitions, but I never invested much of my time in them at that time, something that I regret immensely.

Now that I am an engineering grad student, I want to do something about it and grab the opportunities to compete in college-level math competitions. But, I am having a hard time finding free materials to prepare for them, online. I found a lot of high-school-level resources, but haven't had much luck in finding college-level resources.

I know I'm already asking for a lot of help, but I'm poor in a country where the dollar is really expensive. So if possible (I know it might not be possible), please help me find only free resources for preparation.

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    $\begingroup$ Could you tell us which examinations you want to study for? You could get old questions for those examinations--but they are not cheap. The book for the Putnam exams 1985-2000 costs $53.36 at Amazon.com. $\endgroup$ – Rory Daulton Jul 11 at 0:24
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    $\begingroup$ I believe the site artofproblemsolving.com has a section for those preparing for contests. $\endgroup$ – Gerald Edgar Jul 11 at 13:59
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    $\begingroup$ With acknowledgement to @RoryDaulton - there is an archive for the Putnam Math Competition. I believe this is exactly what you requested. Free. Let us know if you have trouble accessing. $\endgroup$ – JTP - Apologise to Monica Jul 11 at 17:20
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    $\begingroup$ @JoeTaxpayer: Wow, what a great find! That archive does not go back to the exam that I took back in 1976 but that is a really great resource. You should put that as an answer--it does answer the question and I would upvote it. (It's a shame this question is off-topic for this site, though.) $\endgroup$ – Rory Daulton Jul 11 at 17:24
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    $\begingroup$ Hmm. To me, the question seems on-topic. Self-education is education. He is not asking how to solve a math problem. He is asking how to learn more about certain kinds of math. (math.se has been around a lot longer than this site, so it's not surprising that some questions which may fit better here have been answered there.) $\endgroup$ – Sue VanHattum Jul 11 at 19:55
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With acknowledgement to @RoryDaulton - there is an archive for the Putnam Math Competition. I believe this is exactly what you requested. Free. Let us know if you have trouble accessing.

You can also download the entire book The William Lowell Putnam Math Competition 1985-2000. Note: the copywrite page offers “Reproduction. The work may be reproduced by any means for educational and scientific purposes without fee or permission with the exception of reproduction by services that collect fees for delivery of documents.” I need to state this because of the abundance of online pirated books.

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