NMTC class 9 syllabus

The syllabus for Mathematics Olympiad (Regional, National and International) is pre-degree college mathematics. 
The areas covered are, mainly 

Algebra

Geometry

Number theory

Graph theory & combinatorics.

• Algebra:

Polynomials, Solving equations, inequalities and complex numbers.

• Geometry:

Geometry of triangles and circles.(Trigonometric methods, vector methods, complex number methods, transformation geometry methods can also be used to solve problems)

• Number Theory:

Divisibility, Diophantine equations, congruence relations, prime numbers and elementary results on prime numbers.

• Combinatorics & Graph Theory :

Counting techniques, pigeon hole principle, principle of inclusion and exclusion, basic graph theory. Problems pertaining to these concepts will be of non-routine type with difficulty level increasing from RMO to INMO to IMO.

Further to motivate this type of thinking from Class V onwards questions solvable by the best with clear knowledge of concepts introduced to them applied to problem solving will be set for primary (V & VI), sub-Junior (VII & VIII), Junior (IX & X) and Inter (XI & XII).

A glance at the Questions & Solutions of previous years and the books published by the AMTI will facilitate students at all levels to understand the nature of Olympiad examinations. Please see details in our website amtionline.com