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The Ultimate Maths Competition Thread

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    Does anyone want to work through
    https://cms.math.ca/crux/v28/n2/CRUXv28n2.pdf with me?
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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...
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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?
    Lol Q2 is so easy. Unless i misreading it


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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
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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
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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.
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    Anyone sitting the UKMT SMC this year? I have mine scheduled for the 8th of November.
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    (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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