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 January 19th, 2011, 06:56 AM #1 Senior Member   Joined: Oct 2010 From: Vietnam Posts: 226 Thanks: 0 Some questions about International Mathematical Olympiad 1. Let n be a positive number. Let T be the set of points (x,y) in the plane where x,y are non-negative integers and x+y
 January 19th, 2011, 07:20 AM #2 Global Moderator   Joined: Dec 2006 Posts: 20,270 Thanks: 1958 Solutions are given here.
 January 19th, 2011, 11:26 AM #3 Senior Member   Joined: Nov 2010 Posts: 288 Thanks: 1 Re: Some questions about International Mathematical Olympiad Where do you get these solutions from?
 January 20th, 2011, 06:38 AM #4 Global Moderator   Joined: Dec 2006 Posts: 20,270 Thanks: 1958 Are you asking how one can tackle and solve these particular problems under exam conditions, or how one can find most IMO problems and their solutions on the internet?
January 20th, 2011, 07:35 AM   #5
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Re:

Quote:
 Originally Posted by skipjack Are you asking how one can tackle and solve these particular problems under exam conditions, or how one can find most IMO problems and their solutions on the internet?
actually both

 January 20th, 2011, 08:25 AM #6 Global Moderator   Joined: Dec 2006 Posts: 20,270 Thanks: 1958 Mathematical induction is worth trying if the problem looks as though it might be tackled using it. I hadn't tried the geometry problem before seeing the solution, but it's usually helpful to be aware of a range of theorems. Finding the problems and solutions on the internet can usually be accomplished by use of Google.
 January 20th, 2011, 09:33 AM #7 Senior Member   Joined: Nov 2010 Posts: 288 Thanks: 1 Re: Some questions about International Mathematical Olympiad thanks alot
 January 22nd, 2011, 12:25 AM #8 Senior Member   Joined: Oct 2010 From: Vietnam Posts: 226 Thanks: 0 Re: Some questions about International Mathematical Olympiad btw,what is the smallest number of ages can we participate IMO?
 January 22nd, 2011, 01:05 PM #9 Global Moderator     Joined: Oct 2008 From: London, Ontario, Canada - The Forest City Posts: 7,912 Thanks: 1110 Math Focus: Elementary mathematics and beyond Re: Some questions about International Mathematical Olympiad I've looked at a page here and it says ". . . for High School students . . .". I didn't see anything specific but I didn't look too hard.
January 23rd, 2011, 05:36 AM   #10
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Quote:
 Originally Posted by greg1313 ". . . for High School students . . ."
High School?I thought it's for grade 8!

,

### Mathematical induction hard problems

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