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Unicus Global Mathematics Olympiad Class 9 Syllabus

Class 9

Classic Section

Content Domain Main Topics Sub Topics
Number system Real Numbers Rational numbers and their properties
Identities of rational numbers
Real numbers
Surds
HCF and LCM
Algebra Polynomials Polynomials in 1 variable
Zeroes of a polynomial
Factor and remainder theorem
Factorisation of polynomial
Algebraic Identities
Division of polynomial by polynomial
Linear Equations in Two Variables Formation and standard form of linear equation in 2 variables
Solving two Simultaneous linear equations
Coordinate Geometry Coordinate Geometry Cartesian coordinate system
Distance formula, section formula, area of triangle and mid- point formula
Collinearity of points
Geometry Euclid's Geometry Axioms and postulates
Lines and Angles Angles formed by transversal -alternative interior angles, corresponding angles, etc.
Problems based on theorems of lines and angles
Triangles Congruence of triangles
Problems based on theorems of triangles (mid-point theorem, converse of mid-point theorem)
Properties of triangle
Quadrilaterals Angle sum property of a quadrilateral
Theorems based on quadrilateral
Circles Theorems related to circles
Cyclic quadrilateral
Trigonometry Trigonometry Trigonometric Ratios: sine, cosine, tangent of an angle and their reciprocals
Trigonometric ratios of standard angles - 0, 30, 45, 60, 90 degrees
Evaluation of an expression involving these ratios
Simple 2-D problems involving one right-angled triangle
Concept of trigonometric ratios of complementary angles and their direct application
Mensuration Heron’s Formula Problems based on the area of the triangle using heron's formula
Surface Areas and Volumes Area of the ring, area of sector
Surface area and Volume of solid shapes- cube, cuboid, right circular cylinder, pyramid, prism, sphere, hemisphere
Statistics Statistics Types of data - primary data, secondary data
Statistical graphs- bar graph, histogram, frequency polygon, frequency curve
Measures of central tendencies for grouped and ungrouped data- mean, median, mode
Probability Problems based on the formula of probability, theoretical probability

Scholar Section

Higher Order Thinking Questions - Syllabus as per Classic Section

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