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The Ultimate Maths Competition Thread

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Reply 40
Original post by Maths465Man
Definitely. What problem do you want to discuss?


Let x,y,z be positive real numbers such that x2+y2+z2=1 Prove that x2yz+xy2z+xyz21/3Let\ 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
Reply 41
Original post by 11234
Let x,y,z be positive real numbers such that x2+y2+z2=1 Prove that x2yz+xy2z+xyz21/3Let\ 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
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.


Posted from TSR Mobile
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?
Reply 44
Original post by Renzhi10122
Because Schurhead's kills them all


True but my favourite has to be Chebyshevs
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.


Posted from TSR Mobile


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.
Reply 46
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 :smile: wbu
Original post by 11234
Yeah Bmo1 2002 or something. Year 12 :smile: wbu


Oh, I asked because I thought we were the same age. I'm in Year 10.
Reply 48
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....
Reply 49
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?
Original post by 11234
Doing a levels early Im guessing?


Yeah. What modules are you doing this year?
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.
Original post by 11234
Let x,y,z be positive real numbers such that x2+y2+z2=1 Prove that x2yz+xy2z+xyz21/3Let\ 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.
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?
Reply 54
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
Reply 55
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
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?
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?
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
http://www.math-olympiad-telangana.in/participate
Is the IMO for Indian students only?

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