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Lamda Math esearchr Baranowizna search Mathlearndirect e Math r Mathlearndirect search c Mathlearndirect n Mathlearndirect usearchausearch%xp%20luna%20royale%20perfection%20v2%20sp3%20descargar0 Mathlearndirect asearche Mathlearndirect a Direct isearchi Baranowizna n Direct 2 Choro%C5%84 r Learn gsearchl Mathlearndirect m%20e45645wn Mathlearndirect %search0obecn%C3%A1%20houghova%20transformaceetsearchu Choro%C5%84 2vivaeduca%20trnavaf Baranowizna aa Mathlearndirect 20realistisch%20rekenen%20zmle2searchc Math nu Math sa Direct h Math e Baranowizna rd Learn rsearchc Calculus Calculus Mathlearndirect asearchd Learn Mathlearndirect Have you guys heard of Olimpiad Matematik Kebangsaan and joined it before? This is my first time joining it as a Form6 student. Do I need to learn anything other that inside the STPM syllabus? Like those out of this world Maths formula?
Basically learning STPM syllabus won't help much in solving olympiad problems. The style of olympiad problems require other set of strategy and tools which are quite dissimilar with the one we learn in our curriculum.
Before I begin, one of our recommers prince (Shien Jin) has an excellent page and introduction about OMK. It can be found at ~shienjin/math.html
For recent years there have been a pattern for the OMK questions, especially for Sulung level. Firstly, there have been almost one inequality question for each year, and you have to learn the relationship between Arithmetic Means, Geometric Means and Harmonic Means in order to solve this kind of question.
Secondly, there is also always at least one question for number theory. Although the question setter seem to avoid the necessity of "specific" formula or knowledge as they set the question, but it would always ease the work if you learn a bit of modulo arithmetic. For example, try this past year question: prove that the sum of two odd square numbers can never be a square number. The formal solution provided by the PERSAMA (the organiser) used the parity (odd or even nature of a number) to provide a proof, but it's too lengthy and is not elegant. Modulo arithmetic can solve the question in 4 lines.
For geometry most questions can always be solved with constructing perpendicular triangles and use some clever application of cosine's rules, heron's formula, sin rules and all the things you have learnt in SPM level. Master everything related to a circle. (the angle of a tangent, common tangent of two circles, angles inside the circle, concyclic quadrilaterals etc) Even pythagoras' theorem is essential and sometimes the most important (and overlooked) clue. However, learning additional geometry formulas can help you if you manage to empower them. To start with, learn ptolemy theorem, power of a point, ceva's theorem, melanaus theorem. These are the essential ones for advanced geometry.
For combinatorics, have a concept about pigeonhole's principle. The principle is a common sense actually, but just make sure you do understand it throughout. Besides, have your skills honed to figure out how many ways there are to choose m balls from n balls etc. Of course it would be a bit more convulated than this.
For functions, make sure you know the real meaning of "prove" and "find all functions". If you plug in a few examples and showed that they satisfy the given situation it's useless as a proof; and if you found a function that fit the given premises, you also wouldn't score for the question which require "find all function".
That's it for OMK. If you were to go further for IMO etc then you would need much more than what i have stated. To sum it up, try to think out of the box, be open to learn from mistakes, and read books which suit your level to polish your skill. I believe that people with interest and with some knack would pave their way to make a mark in the OMK. It seemed hard but it's possible to achieve something if you know the way and work the right way.
Hope this helps.
Basically learning STPM syllabus won't help much in solving olympiad problems. The style of olympiad problems require other set of strategy and tools which are quite dissimilar with the one we learn in our curriculum.
Before I begin, one of our recommers prince (Shien Jin) has an excellent page and introduction about OMK. It can be found at ~shienjin/math.html
For recent years there have been a pattern for the OMK questions, especially for Sulung level. Firstly, there have been almost one inequality question for each year, and you have to learn the relationship between Arithmetic Means, Geometric Means and Harmonic Means in order to solve this kind of question.
Secondly, there is also always at least one question for number theory. Although the question setter seem to avoid the necessity of "specific" formula or knowledge as they set the question, but it would always ease the work if you learn a bit of modulo arithmetic. For example, try this past year question: prove that the sum of two odd square numbers can never be a square number. The formal solution provided by the PERSAMA (the organiser) used the parity (odd or even nature of a number) to provide a proof, but it's too lengthy and is not elegant. Modulo arithmetic can solve the question in 4 lines.
For geometry most questions can always be solved with constructing perpendicular triangles and use some clever application of cosine's rules, heron's formula, sin rules and all the things you have learnt in SPM level. Master everything related to a circle. (the angle of a tangent, common tangent of two circles, angles inside the circle, concyclic quadrilaterals etc) Even pythagoras' theorem is essential and sometimes the most important (and overlooked) clue. However, learning additional geometry formulas can help you if you manage to empower them. To start with, learn ptolemy theorem, power of a point, ceva's theorem, melanaus theorem. These are the essential ones for advanced geometry.
For combinatorics, have a concept about pigeonhole's principle. The principle is a common sense actually, but just make sure you do understand it throughout. Besides, have your skills honed to figure out how many ways there are to choose m balls from n balls etc. Of course it would be a bit more convulated than this.
For functions, make sure you know the real meaning of "prove" and "find all functions". If you plug in a few examples and showed that they satisfy the given situation it's useless as a proof; and if you found a function that fit the given premises, you also wouldn't score for the question which require "find all function".
That's it for OMK. If you were to go further for IMO etc then you would need much more than what i have stated. To sum it up, try to think out of the box, be open to learn from mistakes, and read books which suit your level to polish your skill. I believe that people with interest and with some knack would pave their way to make a mark in the OMK. It seemed hard but it's possible to achieve something if you know the way and work the right way.
Hope this helps.