I know how much you guys love solving olympiad math problems. So, here is a set full of problems from olympiads around the world.
Finding good problems is a lot easier than coming up with them. So, I took some time to compile a couple of problems that appeared in different olympiads. The problems aren't that hard [this means I've been able to solve them :)] and they are arranged [roughly] in increasing order of difficulty.
Some of these problems are taken from the source with no change. Some of them had to be 'brilliantized' [some of the proof-problems had to be modified].
If this proves to be popular, I'll probably do it in a regular basis.
If you want sets like this to appear in your feed, you can add the tag #Mursalin'sSets. You can do that by clicking on the link and adding it. Or you can just follow me :)
A final note: as these problems are taken from open sources, you'll probably be able to find solutions to them via an internet search. But if you choose to do that, you'll probably won't feel the sense you accomplishment you get after you solve a problem.. It's so much better to think about a problem for a while than looking at its solution instantly and not thinking about it at all. Trust me. I know!
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2^{34}
a_{i-1}
\frac{2}{3}
\sqrt{2}
\sum_{i=1}^3
\sin \theta
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Comments
Great set! I am looking forward to the next one.
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Thanks!
I'm looking forward to it as well :)
Thanks! This problem packet is pretty fun! :)
I added Mursalin'sSets to my #s! :D
Thanks, for the problems. I would love to solve the next set.