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# The Ultimate Maths Competition Thread

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1. Does anyone want to work through
https://cms.math.ca/crux/v28/n2/CRUXv28n2.pdf with me?
2. (Original post by 11234)
Does anyone want to work through
https://cms.math.ca/crux/v28/n2/CRUXv28n2.pdf with me?
I think no3 generalises to ramsey theory...
3. (Original post by 11234)
Does anyone want to work through
https://cms.math.ca/crux/v28/n2/CRUXv28n2.pdf with me?
Lol Q2 is so easy. Unless i misreading it

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4. (Original post by physicsmaths)
Lol Q2 is so easy. Unless i misreading it

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Did you do it directly
5. (Original post by physicsmaths)
Lol Q2 is so easy. Unless i misreading it

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Have you done Q1
6. Interesting geometry problem:

Let AXYZB be a convex pentagon inscribed in a semicircle of diameter AB.Denote by P,Q,R,S the feet of the perpendiculars from Y onto lines AX,BX,AZ,BZ, respectively. Prove that the acute angle formed by lines PQ and RS is half the size of∠XOZ, where O is the midpoint of segment AB.
7. Anyone sitting the UKMT SMC this year? I have mine scheduled for the 8th of November.
8. (Original post by Enigmatically)
Anyone sitting the UKMT SMC this year? I have mine scheduled for the 8th of November.
Maybe... but I'm going to be doing BMO1.

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