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#1 2009-11-29 10:03:02
- Hioj
- Member
- Registered: 2009-10-25
- Posts: 16
Math competitions
Hello everyone.
I'm entering math competitions now and I'm going to be training for them. What I need to train are proofs. To give you an idea of how the problems are, here are some links to the previous years' competitions:
2009 - http://www.georgmohr.dk/gmopg/gm09pb.pdf
2008 - http://www.georgmohr.dk/gmopg/gm08pb.pdf
2007 - http://www.georgmohr.dk/gmopg/gm07pb.pdf
Can you give me any guidance?
Thanks!
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#2 2009-11-29 10:57:07
- mathsyperson
- Moderator
- Registered: 2005-06-22
- Posts: 4,900
Re: Math competitions
When I was doing competitions like this, I found that the best way to prepare was just to practice questions from past papers. The questions are designed to test mathematical thinking more than knowledge, so I found that revising from textbooks didn't really help.
It's good to practice proofs though. Make sure they're absolutely watertight - examiners for tests like this jump on every slight mistake or omission you make and take away marks for them.
Here are some I've done from the 2009 paper.
Why did the vector cross the road?
It wanted to be normal.
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#3 2009-11-30 09:21:30
- Hioj
- Member
- Registered: 2009-10-25
- Posts: 16
Re: Math competitions
Thank you so much!
Do you know other pages with previous math competition sets? I've only been able to find this one page.
Would you mind if I kept posting in this page with my solutions to the different problems and asking questions if I can't solve it?
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#4 2009-11-30 10:27:43
- Sarah Rebekah 13
- Guest
Re: Math competitions
That is a good idea.
#5 2009-11-30 11:31:08
- Identity
- Member
- Registered: 2007-04-18
- Posts: 934
Re: Math competitions
Here are some past problems http://www.artofproblemsolving.com/Forum/resources.php
Also from the USAMTS http://usamts.org/Problems/U_ProblemsPast.php
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#6 2009-12-01 12:15:39
- mathsyperson
- Moderator
- Registered: 2005-06-22
- Posts: 4,900
Re: Math competitions
I'd recommend sticking with the previous papers from your own competition. They go back to 2000, so there should be plenty to work with, and this way you'll know what difficulty to expect.
Identity's resources are good, but the level of the questions varies significantly and so it'd be hard to find some relevant to you.
You're more than welcome to post here with more questions and solutions attempts though.
Why did the vector cross the road?
It wanted to be normal.
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