Lately, I've been on the lookout for really complex math problems or questions to challenge myself and enhance my problem-solving skills. Do you know any websites or resources with a collection of really hard math questions that I can try solving?
Oh, I'm glad to see that you're passionate about improving your math problem-solving skills! There are several resources out there that offer challenging math problems for different levels. Here are a few recommendations:
1. Art of Problem Solving (AoPS) — AoPS offers a wealth of materials for math enthusiasts, from competition books to online courses. You can explore their Forums (https://artofproblemsolving.com/community) and Alcumus (https://artofproblemsolving.com/alcumus), where you'll find various levels of difficulty and concepts to challenge yourself.
2. Project Euler — Project Euler (https://projecteuler.net/) is an online platform containing a collection of computational problems designed to challenge your math and programming skills. It is perfect for those who are interested in both problem-solving and computer science.
3. Brilliant — At Brilliant.org (https://brilliant.org/), you can find various math problems ranging from basic arithmetic to advanced topics. Their problems are usually designed to enhance your critical thinking and problem-solving abilities. While some content is free, a subscription unlocks more content, including quizzes and courses.
4. International Mathematics Olympiad (IMO) problems — This is the world's most prestigious mathematics competition for high school students. The problems posed in the IMO are typically of high difficulty. You can find an archive of past problems and solutions on the IMO official website (https://www.imo-official.org/problems.aspx) or Art of Problem Solving's IMO page (https://artofproblemsolving.com/community/c6_international_math_olympiad).
5. Mathcounts — If you're looking for middle-school-level problems, Mathcounts (https://www.mathcounts.org/) is a great place to start. They offer different types of problems and resources, including past Mathcounts competition questions that you can use to practice.
Remember to start with problems suitable for your current skill level and gradually progress to more difficult ones as you gain confidence and improve your skills. Good luck, and have fun challenging yourself!
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