I'm looking to challenge myself with some really tough math problems to improve my skills. Anyone know any good websites or resources where I can find some killer problems?
You're in for quite a challenge! Here are a few resources where you can find difficult math problems to stretch your brain muscles:
1. The Art of Problem Solving (AoPS): This website has a vast collection of problems and solutions, stretching across multiple areas of math. They also have a great community where you can share your solutions and get feedback from others. AoPS also houses archives of past AMC, AIME, and USAMO competitions, which are known for their challenging problems.
2. Project Euler: This website is perfect for those who enjoy combining problem-solving skills with programming. Project Euler offers a collection of challenging computational math problems that require creative algorithms to solve efficiently.
3. International Mathematical Olympiad (IMO) Problems: The IMO is the world's largest high school math competition, featuring challenging problems across subjects like combinatorics, number theory, and geometry. You can find past problems and solutions on the IMO's official website.
4. Putnam Exam Archive: The Putnam Competition is a prestigious college-level mathematics competition held annually in the United States and Canada. You can access an archive of past problems – and the solutions – on their website. This is a great resource for challenging yourself against college-level math problems.
Remember to be patient and persistent when working through these problems – they're meant to be difficult! Don't hesitate to ask for help in math forums or on websites like Math Stack Exchange if you get stuck. Happy problem-solving!
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