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Syllabus for International Mathematics Olympiad (INMO)  
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The syllabus for Mathematics Olympiad (regional, national and
  international) is pre-degree college  
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mathematics.    
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The areas covered are   
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 Arithmetic of integers, 
   
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 Geometry,   
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 Quadratic equations and expressions,   
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 Trigonometry,   
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 Co-ordinate geometry,   
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 Systems of linear equations, 
   
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 Permutations and combinations, 
   
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 Factorisation of polynomials, 
   
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 Inequalities,   
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 Elementary combinatorics, 
   
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 Probability theory and number theory, finite series   
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 Complex numbers   
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 Elementary graph theory.  
   
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Note:  The syllabus does
  not include Calculus and Statistics. The major areas from which problems are
  given  
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are number theory, geometry, algebra and combinatorics. The
  syllabus is in a sense spread over  
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Class IX to Class XII levels, but the problems under each topic
  are of exceptionally high level in  
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difficulty and sophistication. The difficulty level increases
  from RMO to INMO to IMO.  
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