The Ultimate Maths Competition Thread

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    (Original post by Maths465Man)
    Definitely. What problem do you want to discuss?
    Let\ x,y,z\ be\ positive\ real\ numbers\ such\ that\ x^2 + y^2 + z^2=1\ Prove\ that\ x^2yz + xy^2z + xyz^2 \leq 1/3
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    (Original post by 11234)
    Let\ x,y,z\ be\ positive\ real\ numbers\ such\ that\ x^2 + y^2 + z^2=1\ Prove\ that\ x^2yz + xy^2z + xyz^2 \leq 1/3
    I think I may have a solution
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    (Original post by Maths465Man)
    Well BMO1, BMO2, Balkan and IMO are designed for year 12 and 13 (16-18 years old) however many people that are younger attempt the papers.

    The senior section for maths competitions in England goes:

    SMC - BMO1 - BMO2- Balkan + Romanian Masters - IMO

    (In difficulty)
    Yeah I don't really know how to do those type of questions we just do vectors and logs and stuff in school haha.


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    (Original post by 11234)
    I think I may have a solution
    Ok. Let me have a look at it.

    What level is this? (i.e. BMO1)
    Also, what year are you in?
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    (Original post by Renzhi10122)
    Because Schurhead's kills them all
    True but my favourite has to be Chebyshevs
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    (Original post by RossB1702)
    Yeah I don't really know how to do those type of questions we just do vectors and logs and stuff in school haha.


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    My guess is that 95% of the stuff in olympiad problems isn't taught in schools. To learn all the olympiad stuff most people just go online and read olympiad style books.
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    (Original post by Maths465Man)
    Ok. Let me have a look at it.

    What level is this? (i.e. BMO1)
    Also, what year are you in?
    Yeah Bmo1 2002 or something. Year 12 wbu
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    (Original post by 11234)
    Yeah Bmo1 2002 or something. Year 12 wbu
    Oh, I asked because I thought we were the same age. I'm in Year 10.
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    (Original post by Maths465Man)
    My guess is that 95% of the stuff in olympiad problems isn't taught in schools. To learn all the olympiad stuff most people just go online and read olympiad style books.
    How do you use Jensens inequality. Its so difficult to use....
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    (Original post by Maths465Man)
    Oh, I asked because I thought we were the same age. I'm in Year 10.
    Doing a levels early Im guessing?
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    (Original post by 11234)
    Doing a levels early Im guessing?
    Yeah. What modules are you doing this year?
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    (Original post by Maths465Man)
    No I'm in Year 10
    That's incredible. A year ten student who is ready to sit their A level maths exams. Astonishing.
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    (Original post by 11234)
    Let\ x,y,z\ be\ positive\ real\ numbers\ such\ that\ x^2 + y^2 + z^2=1\ Prove\ that\ x^2yz + xy^2z + xyz^2 \leq 1/3
    ok, I've got solution. I've tried and tested it and I'm pretty sure it works.
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    (Original post by Wolfram Alpha)
    That's incredible. A year ten student who is ready to sit their A level maths exams. Astonishing.
    Thanks. Are you doing Maths and FM this year?
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    (Original post by Maths465Man)
    Yeah. What modules are you doing this year?
    DId them early as well in y11 so for fm FP1, FP2, S2 M2 with OCR MEI
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    (Original post by Maths465Man)
    ok, I've got solution. I've tried and tested it and I'm pretty sure it works.
    I'll post mine as well. Could take time though new to latex
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    (Original post by 11234)
    DId them early as well in y11 so for fm FP1, FP2, S2 M2 with OCR MEI
    what exam board are you doing them with?
    also do you want to share solutions?
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    (Original post by 11234)
    DId them early as well in y11 so for fm FP1, FP2, S2 M2 with OCR MEI
    Why did you do them early? Did your whole maths class do this or only you? Also, do you like in the UK?
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    (Original post by 11234)
    I'll post mine as well. Could take time though new to latex
    Yeah, ill have to work out how to post it as well.
    I'll also include what I know about Jensen's inequality
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    http://www.math-olympiad-telangana.in/participate
    Is the IMO for Indian students only?
 
 
 
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