Rajasthan State Board Class 9 syllabus is prescribed by the Board of Secondary Education, Rajasthan, in short RSEB. The board mainly focuses on the promotion and development of secondary education in the state of Rajasthan. The Rajasthan Board Class 9 Maths Syllabus is designed by a group of subject experts who are well trained and experienced in mathematics.
The syllabus is the backbone of every subject. It provides a framework to the students and teachers for the sequential understanding of a subject. Especially when subjects are like Mathematics, referring syllabus is almost unavoidable if he/she is expecting to score high. Rajasthan Board Class 9 Mathematics Syllabus under RSEB incorporates a wide spectrum of topics starting from algebra to geometry. To master mathematics, he/she has to finish practising entire Rajasthan Board Class 9 Textbook. The only most coherent way to achieve this is following syllabus.
RBSE Class 9 Maths Syllabus
Class 9 mathematics syllabus is divided into a total of 6 units and comprises of chapters like Number system, polynomials, equations in two variables, Euclid’s geometry and probability, etc. Have a look at the table below to know the detailed class 9 Mathematics Syllabus of Rajasthan Board. Moreover, students can also download the pdf from the link below.
Download Rajasthan Board Class 9 Maths Syllabus PDF
Unit 1 : Number system  
Chapter 1  Real numbers:
Review of representation of natural numbers, integers, rational numbers on the number line. Representation of terminating / nonterminating recurring decimals, on the number line through successive magnification. Rational numbers as recurring /terminating decimals. Examples of non recurring / non terminating decimals such as √2,√3,√5 etc. Existence of nonrational numbers (irrational numbers) such as √2,√3 and their representation on the number line. Explaining that every real number is represented by a unique point on the number line and conversely, every point on the number line represents a unique real number. Existence of √x for a given positive real number x (visual proof to be emphasized). Definition of \(n^{th}\) root of a real number. Recall of laws of exponents with integral powers. Rational exponents with positive real bases (to be done by particular cases, allowing the learner to arrive at the general laws). Rationalization (with precise meaning) of real numbers of the type (& their combinations) 
Unit 2 : Algebra  
Chapter 1  Polynomials:
Definition of a polynomial in one variable, its coefficients, with examples and counterexamples, its terms, zero polynomial. Degree of a polynomial. Constant, linear, quadratic, cubic polynomials; monomials, binomials, trinomials. Factors and multiples. Zeros/roots of a polynomial / equation. State and motivate the Remainder Theorem with examples and analogy to integers. Statement and proof of the Factor Theorem. Factorization of \(ax^{2}+bx+c, a\neq 0\) where a, b, c are real numbers, and of cubic polynomials using the Factor Theorem.
and their use in factorization of polynomials. Simple expressions reducible to these polynomials. 
Chapter 2  Linear equation in two variables:
Recall of linear equations in one variable. Introduction to the equation in two variables. Prove that a linear equation in two variables has infinitely many solutions and justify their being written as ordered pairs of real numbers, plotting them and showing that they seem to lie on a line. Examples problems from real life, including problems on Ratio and Proportion and with algebraic and graphical solutions being done simultaneously. 
Unit 3 : Geometry  
Chapter 1  Introduction to Euclid’s geometry:
History – Geometry in India and Eulid’s geometry. Euclid’s method of formalizing observed phenomenon into rigorous mathematics with definitions, common / obvious notions, axioms/postulates and theorems. The five postulates of Euclid, Equivalent versions of the fifth postulate. Showing the relationship between axiom and theorem. 1. (Axiom) Given two distinct points, there exists one and only one line through them. 2. (Theorem) (Prove) two distinct lines cannot have more than one point in common. 
Chapter 2  Lines and angles:

Chapter 3  Triangles:

Chapter 4  Quadrilaterals:

Chapter 5  Area:
Review the concept of area, recall the area of a rectangle.

Chapter 6  Circles:
Through examples, arrive at definitions of circle related concepts, radius, circumference, diameter, chord, arc, subtended angle.

Chapter 7  Constructions:

Unit 4 : Coordinate Geometry  
Chapter 1  Coordinate geometry:
The Cartesian plane, coordinates of a point, names and terms associated with the coordinate plane, notations. Plotting points in the plane, graph of linear equations as examples; focus on linear equations of the type \(ax+by+c=0\) by writing it as \(y=mx+c\). 
Unit 5 : Mensuration  
Chapter 1  Areas:
Area of a triangle using Heron’s formula (without proof) and its application in finding the area of a quadrilateral. 
Chapter 2  Surface area and volumes:
Surface areas and volumes of cubes, cuboids, spheres (including hemispheres) and right circular cylinders/cones 
Unit 6 : Statistics and Probability  
Chapter 1  Statistics:
Introduction to Statistics : Collection of data, presentation of data – tabular form, ungrouped / grouped, bar graphs, histograms (with varying base length), frequency polygons, qualitative analysis of data to choose the correct form of presentation for the collected data. Mean, median, mode of ungrouped data. 
Chapter 2  Probability:
History, Repeated experiments and observed frequency approach to probability. Focus is on empirical probability. (A large amount of time to be devoted to group and to individual activities to motivate the concept; the experiments to be drawn from real – life situations, and from the examples used in the chapter on statistics 
Keep Learning and stay tuned for the latest updates on Rajasthan Board Exam. Moreover, students can access interactive lessons and videos of Maths and Science through BYJU’S Tablet/App.