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APMO Archives – Anonymous Christian

  • Math Olympiad Classes in Kajang

    Anonymous Christian
    Apr 6, 2016
    APMO, IMO, MATH, Math Olympiad, OMK, Reason
    Comments Off on Math Olympiad Classes in Kajang
      Affordable Mathematics Olympiad Classes at Kajang for Secondary School Students “All are welcome” 🙂 For further information, one may consult me by calling (tel. mobile) 010-8803 763 (Jonathan) P/S: Class structure (classroom style delivery): “All lessons will be in English & occasionally some explanations will also be done in Malay. Students are required...
  • What is Olympiad Maths?

    Anonymous Christian
    Jun 7, 2015
    APMO, IMO, MATH, Math Olympiad, OMK
    Comments Off on What is Olympiad Maths?
    Finally: An Analogy (that works) I’ve often found it hard to explain what is Olympiad type Maths to people. Not anymore; I think the analogy below explains it well: Olympiad Maths can be likened to Magic. Its questions are like magical tricks. And, solving it is like decoding a magician’s trick. For example, a...
  • 15th APMO 2003 – Problem 1

    Anonymous Christian
    Sep 5, 2014
    APMO, MATH, Math Olympiad
    Comments Off on 15th APMO 2003 – Problem 1
    Question The polynomial a8x8 +a7x7 + … + a0 has a8 = 1, a7 = -4, a6 = 7 and all its roots positive and real. Find the possible values for a0. Answer Let the roots be xi. We have Sum xi2 = 42 – 2·7 = 2. By Cauchy-Schwarz inequality, we have (x1·1...

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