CBSE Class 9 Maths Syllabus
Number System
 Introduction
 Irrational numbers
 Real numbers and their decimal expansions
 Representing real numbers on a number line
 Representing real numbers on a number line
 Law of exponents for real numbers

Polynomials
 Polynomial in one variable
 Zeroes of a polynomial
 Solving linear equations having variable on both sides
 Remainder theorem
 Factorization of polynomial
 Algebraic identities

Coordinate geometry
 Coordinate System
 Cartesian Coordinate System
 Quadrant
 Plotting of Points
 Distance Between Points

Linear equation in two variables
 Linear equations
 Solution of linear equations
 Graph of a linear equation in two variables

Introduction to Euclid’s geometry
 Introduction
 Euclid’s definition and postulates
 Equivalent versions of Euclid’s fifth postulate

Lines and angles
 Basic terms and definition
 Intersecting and nonintersecting lines
 Pair of angles: Linear pair
 Pair of angles: Vertically opposite angles
 Parallel lines and a transversal
 Lines parallel to the same line
 Angle sum property of triangle

Triangles
 Congruence of triangle
 Criteria for Congruence of triangle (SAS, ASA, AAS)
 Some properties of triangles
 Some more criteria for congruency of triangle (SSS, RHS)
 Inequalities in triangle

Quadrilaterals
 Angle sum property of quadrilateral
 Types of quadrilateral
 The diagonal divides a parallelogram into two congruent triangles.
 Properties of parallelogram
 The midpoint theorem

Areas of parallelograms and triangles
 Parallelograms and Triangles

Circles
 Circles and its relative terms
 Angle subtended by chord at a point
 Perpendicular from center to chord
 Circles through three points
 Equal chords and their distances from center
 Cyclic quadrilaterals

Construction
 Construction Of Angle And Perpendicular Bisector
 Construction of a triangle given its base, sum/difference of the other two sides and one base angle
 Construction of a triangle of given perimeter and base angles

Heron’s formula
 Heron’s formula
 Application of Heron’s formula for calculating area of triangle

Surface areas and volumes
 Surface area of cube and cuboid
 Surface area of right circular cylinder
 Surface area of right circular cone
 Surface area of a sphere
 Volume of a cuboid
 Volume of a cylinder
 Volume of a right circular cone
 Volume of a sphere

Statistics
 Collection of data & it presentation
 Graphical representation of data: grouped/ ungrouped bar graphs
 Histograms
 Frequency polygons
 Measure of Central tendency

Probability
 Probability an experimental approach
 Empirical probability


Best Reference Books for CBSE Class 9 Maths besides NCERT Textbooks:
Maths is one of the most important subjects and also considered as one of the most difficult subjects of CBSE Class 9. But besides NCERT Books there some excellent reference books which can make this subject a cake walk for you.
NCERT Textbook for class 9 Maths: Download PDF 
NCERT Exemplar for Class 9 Math: Download PDF 
R D Sharma for Class 9 Mathematics 201920 Edition (Contains More Variety of Questions) 
R S Aggarwal for Class 9 Mathematics 201920 Edition 