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The Ultimate Maths Competition Thread

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Reply 180
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11234
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Does anyone want to work through
https://cms.math.ca/crux/v28/n2/CRUXv28n2.pdf with me?
Reply 181
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ben167
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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...
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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Reply 183
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11234
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Original post by physicsmaths
Lol Q2 is so easy. Unless i misreading it


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Did you do it directly
Reply 184
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11234
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Original post by physicsmaths
Lol Q2 is so easy. Unless i misreading it


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Have you done Q1
Reply 185
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11234
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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.
Anyone sitting the UKMT SMC this year? I have mine scheduled for the 8th of November.
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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