RBSE Class 12 Maths Sample Question Papers - PDF Download

RBSE 12th Model Paper 2025 is released by Rajasthan Board of Secondary Education (RBSE) so you can download RBSE Class 12 Sample Papers PDF from here on eSaral to get ahead in exam preparation. These RBSE Model Paper are for Class 12th aspirants. These sample papers contain sample questions from RBSE syllabus of class 12 in exam pattern similar to what you get in actual std 12 exam. Therefore, by solving the Rajasthan Class 12 Model Paper 2024-25, anyone can aim to get full marks in your board exams.

Syllabus Of Class 12th Maths

Unit	Topics and NCERT Solution
Unit 1: Relations and Functions	Types of relations: Equivalence, Symmetric, Transitive and Reflexive Relations Functions: One to one and onto functions, the inverse of a function, and composite functions. Binary operations Inverse Trigonometric Functions And Graphs of inverse trigonometric functions: properties of inverse, range, domain, principal value branch.
Unit 2: Algebra	Matrices Properties of addition, scalar multiplication, and non-commutativity of multiplication of matrices Existence of non-zero matrices Concept of elementary row and column operations. Invertible matrices and proof of the uniqueness of inverse Determinants: Consistency and inconsistency Solutions of systems of linear equations in two or three variables using the inverse of a matrix
Unit 3: Calculus	Continuity and Differentiability: Concept of logarithmic and exponential functions. Lagrange’s and Rolle’s Mean Value Theorems Applications of Derivatives Integrals Applications of the Integrals in finding areas under Straight lines, simple curves, circles/ellipse/parabolas. Differential Equations: Introduction, order, and degree Formation of a differential equation, solution of differential equations, Solutions of the linear differential equation of the form: dy/dx + py = q
Unit 4: Vectors and 3-D Geometry	Vectors: Vectors and scalars Magnitude and direction of a vector, direction ratios of a vector, and direction cosines. Types of vectors, components of a vector, position vector of a point dividing a line in an assigned ratio. Geometrical Evaluation, properties, and application of scalar (dot) product of vectors, a scalar triple product of vectors, vector (cross) product of vectors Direction ratios and direction cosines of a line connecting two points. Cartesian equation and vector equation of a line and a plane. Angle between line and two lines Angle between a plane and two planes
Unit 5: Linear Programming	Definition, objective function, optimization, and constraints Different types of linear programming problems. Mathematical formulation of linear programming problems. Graphical method of solution for linear equation problems in two variables, feasible and infeasible regions, feasible and infeasible solutions
Unit 6: Probability	Conditional probability and Multiplication theorem on probability, total probability Independent events Baye’s theorem Random variable, Mean and variance of the random variable and its probability distribution Binomial distribution

RBSE Class 12th Maths Syllabus 2024-25

Unit-I: Relations and Functions

1 Relations and Functions

1.1 Introduction

1.2 Types of relations

1.3 Types of functions

1.4 Composition of functions and Invertible function

2 Inverse Trigonometric Functions

2.1 Introduction

2.2 Basic Concepts

2.3 Properties of inverse trigonometric functions

Unit-II: Algebra

3 Matrices

3.1 Introduction

3.2 Matrix

3.3 Types of matrices

3.4 Operations on Matrices

3.5 Transpose of a Matrix

3.6 Symmetric and skew-symmetric matrices.

3.7 Invertible matrices

4 Determinants

4.1 Introduction

4.2 Determinant

4.3 Area of a Triangle

4.4 Minors and Co-factors

4.5 Adjoint and inverse of a matrix

4.6 Applications of Determinants and Matrices

Unit-III: Calculus

5 Continuity and Differentiability

5.1 Introduction

5.2 Continuity

5.3 Differentiability

5.4 Exponential and logarithmic functions

5.5 Logarithmic differentiation

5.6 Derivatives of Functions in Parametric Forms

5.7 Second order derivative

6 Applications of Derivatives

6.1 Introduction

6.2 Rate of change of quantities

6.3 Increasing/decreasing functions

6.4 Maxima and minima

7 Integrals

7.1 Introduction

7.2 Integration as inverse process of differentiation

7.3 Methods of Integration

7.4 Integrals of Some Particular Functions

7.5 Integration by Partial Fractions

7.6 Integration by Parts

7.7 Definite Integral

7.8 Fundamental Theorem of Calculus

7.9 Evaluation of Definite Integrals by Substitution

7.10 Some Properties of Definite Integrals

8 Applications of The Integrals

8.1 Introduction

8.2 Area Under Simple Curves

9 Differential Equations

9.1 Introduction

9.2 Basic concepts

9.3 General and Particular solutions of a differential equation

9.4 Methods of solving first order first degree differential equations

Unit-IV: Vectors and Three-Dimensional Geometry

10 Vector Algebra

10.1 Introduction

10.2 Some Basic Concepts

10.3 Types of Vectors

10.4 Addition of Vectors

10.5 Multiplication of a Vector by a Scalar

10.6 Product of Two Vectors.

11 Three - dimensional Geometry

11.1 Introduction

11.2 Direction cosines and direction ratios of a line

11.3 Equation of a line in space

11.4 Shortest distance between two lines.

Unit-V: Linear Programming

12 Linear Programming

12.1 Introduction,

12.2 Linear programming problems and its mathematical formulation

Unit-VI: Probability

13 Probability

13.1 Introduction

13.2 Conditional probability

13.3 Multiplication theorem on probability

13.4 Independent events

13.5 Bayes’ theorem

RBSE 12th Maths Exam Pattern 2025

Units	Marks
Relations and Functions	7
Algebra	10
Calculus	36
VECTORS AND THREE - DIMENSIONAL GEOMETRY	16
LINEAR PROGRAMMING	4
Probability	7

How to Download Rajasthan Board Class 12 Model Paper 2024-25

The RBSE has published the model papers in a more structured fashion this time. Along with books and other study resources, you can obtain both the most recent and past years' model papers. To obtain the model paper PDFs, simply follow these steps.

Step 1: Visit the official website at rajeduboard.rajasthan.gov.in.

Step 2: Look for ‘Books/Old Papers/Model Questions’ on the left hand side menu bar.

Step 3: On the new page, choose ‘Model Papers 2025’.

Step 4: Now click on the stream you belong to.

Step 5: The PDF with all the subjects of that particular stream will open. Scroll and navigate for your subjects.

Step 6: Download PDF for better understanding.

Benefits of RBSE Class 12 Mathematics Model Papers

By regularly solving the Rajasthan board Class 12 Mathematics Model Papers, you can gain confidence and aim at performing better in the board exams. You can check various benefits of solving Mathematics model papers in the points given below.

Knowledge of a variety of questions - By solving model papers, you develop a good understanding of all types of questions. According to it, you can write answers in board exams.
Understand the exam pattern - You can easily understand the exam pattern through the question papers. They can get an idea about the types of questions and difficulty level of exam.
Focus on time - After solving the model papers of maths, you are able to solve all questions within the time limit. You get an idea about the time required for the short and long questions.
Writing answers - You can check the marks and write answers accordingly. You learn to include the important points as per the marks allotted to the questions.
Solving numerical problems - The model papers of Maths introduce you to a variety of numerical problems. These questions enable you to solve the similar questions in board exams quickly.