How to prepare for BMO

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#1
I did BMO last year and I couldn't answer most of it. I don't understand some of the notations or how to approach the questions because they are completely different to what we are taught in A level and the questions in SMC UKMT. Where can I learn topics like functional equations etc.(I searched online for some help but every guide excepts you to have some prior knowledge and are too advanced).
0
1 year ago
#2
(Original post by MathYani)
I did BMO last year and I couldn't answer most of it. I don't understand some of the notations or how to approach the questions because they are completely different to what we are taught in A level and the questions in SMC UKMT. Where can I learn topics like functional equations etc.(I searched online for some help but every guide excepts you to have some prior knowledge and are too advanced).
There are a reasonable number of ukmt, olympiad, aops, ame, competition/proble0m books out there, some of them downloadable. Ill see if i can dig out a few refs and edit this reply, but perhaps reply to the ukmt thread and discuss specific questions/topics? The questions are almost made so that there isn't an easy reference book.

http://www.cantab.net/users/henry.liu/mentoring.htm
https://kheavan.files.wordpress.com/...0471789011.pdf
https://www.ukmt.org.uk/shop
https://artofproblemsolving.com/community/c13_contests
https://www.maa.org/book-series/problem-books
https://www.worldscientific.com/series/mos
Last edited by mqb2766; 1 year ago
4
1 year ago
#3
Hi,
What other math olympiads require the same knowledge and/or are the same difficulty as the BMO1? I'm currently failing all BMO1 questions as I have to look up their answers constantly, so I want to leave them to do later when I come back more prepared from doing other paper problems.
Thanks

(Original post by mqb2766)
There are a reasonable number of ukmt, olympiad, aops, ame, competition/proble0m books out there, some of them downloadable. Ill see if i can dig out a few refs and edit this reply, but perhaps reply to the ukmt thread and discuss specific questions/topics? The questions are almost made so that there isn't an easy reference book.

http://www.cantab.net/users/henry.liu/mentoring.htm
https://kheavan.files.wordpress.com/...0471789011.pdf
https://www.ukmt.org.uk/shop
https://artofproblemsolving.com/community/c13_contests
https://www.maa.org/book-series/problem-books
https://www.worldscientific.com/series/mos
0
1 year ago
#4
Hi,
What other math olympiads require the same knowledge and/or are the same difficulty as the BMO1? I'm currently failing all BMO1 questions as I have to look up their answers constantly, so I want to leave them to do later when I come back more prepared from doing other paper problems.
Thanks
I presume you can do the Maclaurin well?
0
1 year ago
#5
(Original post by mqb2766)
I presume you can do the Maclaurin well?
Yes, I find it easy
0
1 year ago
#6
Yes, I find it easy
Have you been through Henry Liu notes? There is Zeitz book (art and craft of problem solving), MAA, ukmt, aops books, ...
Some of the book are about local Olympiad questions (China,US,..). If it was me, I'd pick an area like geometry and go through liu's notes, zeitz chapter, maa/aops/ukmt books and practice questions on that topic. Spend a few weeks on each topic, then move on.
If you want, I'll dig out some of the problem books, but can't guarantee they'll match bmo1.
Last edited by mqb2766; 1 year ago
0
1 year ago
#7
(Original post by mqb2766)
Have you been through Henry Liu notes? There is Zeitz book (art and craft of problem solving), MAA, ukmt, aops books, ...
Some of the book are about local Olympiad questions (China,US,..). If it was me, I'd pick an area like geometry and go through liu's notes, zeitz chapter, maa/aops/ukmt books and practice questions on that topic. Spend a few weeks on each topic, then move on.
If you want, I'll dig out some of the problem books, but can't guarantee they'll match bmo1.
Thanks a lot, ill look at them myself. I don't really want to learn further, I just want to practice. Because I only want to do upto BMO1 level, anything beyond that is not my cup of tea. So often what I find is material is way above my prerequisite knowledge and I have to learn from scratch and those techniques may never actually come up on BMO1 level, hence why I want to find problems similar to that level but not the BMO1 itself. I know about the MOG but nothing else pretty much.

Thanks, for the Henry Liu recommendation, they seem very helpful
Last edited by WassupLadz; 1 year ago
0
1 year ago
#8
Thanks a lot, ill look at them myself. I don't really want to learn further, I just want to practice. Because I only want to do upto BMO1 level, anything beyond that is not my cup of tea. So often what I find is material is way above my prerequisite knowledge and I have to learn from scratch and those techniques may never actually come up on BMO1 level, hence why I want to find problems similar to that level but not the BMO1 itself. I know about the MOG but nothing else pretty much.

Thanks, for the Henry Liu recommendation, they seem very helpful
There are books/web like
https://www.ukmt.org.uk/product/94
IMO Compendium
Lecture notes on mathematical olympiad 1 & 2
https://imomath.com/index.php?options=257&lmm=1
https://www.imo-official.org/problems.aspx

Note it's hard to just limit questions to just bmo1. For instance some of the earlier/easier IMO questions would be in this scope.
Last edited by mqb2766; 1 year ago
0
1 year ago
#9
(Original post by mqb2766)
There are books/web like
https://www.ukmt.org.uk/product/94
IMO Compendium
Lecture notes on mathematical olympiad 1 & 2
https://imomath.com/index.php?options=257&lmm=1
https://www.imo-official.org/problems.aspx

Note it's hard to just limit questions to just bmo1. For instance some of the earlier/easier IMO questions would be in this scope.
They are certainly much harder than BMO imo, considering I’m even struggling with BMO1. But thanks a lot anyway.
0
1 year ago
#10
They are certainly much harder than BMO imo, considering I’m even struggling with BMO1. But thanks a lot anyway.
I was starting to go through the 2019 paper the other day. I guess this is the one you took? How did you do On the first half, what did you find problems with?
Last edited by mqb2766; 1 year ago
0
1 year ago
#11
(Original post by mqb2766)
I was starting to go through the 2019 paper the other day. I guess this is the one you took? How did you do On the first half, what did you find problems with?
I haven’t done it yet. I’m currently about Doing the papers arouNd 2010
0
1 year ago
#12
I haven’t done it yet. I’m currently about Doing the papers arouNd 2010
Do you want to discuss one of the papers? If so, just let me know which.
0
1 year ago
#13
(Original post by mqb2766)
Do you want to discuss one of the papers? If so, just let me know which.
Thanks, I’ll let you know if I do.
0
1 month ago
#14
Hi! I know this was a year ago but the link to the Henry Liu notes doesn't work - could you maybe share the document if you have it downloaded? Thanks
0
1 month ago
#15
Past papers are always useful starting point and may actually be most time efficient
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