Tricky math problems to practice?

Hey everyone, I was wondering if anyone could point me towards some of the hardest math problems they've come across so I can practice and improve my skills. Thanks in advance!

Hello! If you're looking to challenge yourself with tricky math problems, I have a few suggestions for resources:

1. Art of Problem Solving (AoPS): AoPS offers a variety of books, online courses, and a forum where you can post and solve challenging math problems. Many students interested in math competitions, like the AMC and AIME, use AoPS as their go-to resource.

2. Project Euler: This is an online collection of challenging computational and mathematical problems that require creative problem-solving and programming skills. Although this resource does require some coding, it's an excellent way to practice problem solving while sharpening your coding skills.

3. International Mathematical Olympiad (IMO) Problems and Solutions: The IMO is the most prestigious high school math competition in the world, and its problems are known for their difficulty. You can find past IMO problems and solutions online, which can help you broaden your understanding of complex mathematical concepts and improve your problem-solving skills. This will give you a taste of the high-level challenges faced by top math students.

4. Putnam Exam Problems: The annual Putnam Exam is a college-level mathematics competition that's known for its challenging problems. You can find past Putnam problems and solutions online, and they can provide a glimpse into the types of advanced problems you might encounter in college-level math courses.

Keep in mind that these problems can be quite difficult, so don't be discouraged if they seem impossible at first. Remember, tackling these challenging problems is meant to expand your understanding and train your problem-solving skills. The more you practice, the better you'll become at overcoming them. Good luck!