Bihar Board 12th Maths Syllabus 2025: Check Chapter-Wise Topics and Weightage

Sushmita Sundas

Updated on - Oct 28, 2024

The Bihar board 12th Maths syllabus 2024-25 carries six units and will be conducted for 100 marks. The syllabus includes important chapters such as Matrices, Determinants, Application of Derivatives, Integrals, Differential Equations, Applications of the Integrals, etc.

There will be no internal assessment for BSEB 12th Maths, and students must score at least 30 percent to pass the exam. Furthermore, students must start their preparation as per the latest Bihar Board 12th 2024-25 syllabus, which will allow them to prepare according to the paper's marking scheme and pattern of the Bihar Board 12th exam. Students can also refer to the BSEB 12th sample paper to strengthen their preparation skills.

BSEB 12th Maths Syllabus 2024-25: Download PDF

Students must download the Bihar board 12th Maths syllabus 2024-25 to understand the topic-wise chapters and their sub-topics. Moreover, the Mathematics paper will be conducted for 3 hours in pen and paper mode. The 12th Maths syllabus Bihar board download PDF is provided below for the student's reference. 

Bihar Board 12th Maths Syllabus 2024-25: Unit-Wise Details

The BSEB 12th Maths syllabus 2024-25 is designed to equip students with various Math topics to complete their endeavors. The BSEB Maths is one of the most crucial subjects in students' lives as it will help them in their professional courses such as engineering in universities. The detailed unit-wise topics and sub-topics are mentioned below.

BSEB 12th Maths Syllabus 2024-25 Unit 1: Relations and Functions

The detailed unit 1 BSEB 12th Maths syllabus is tabulated below for the students' reference. 

BSEB 12th Maths Syllabus 2024-25 Unit 2: Algebra

The unit 1 Algebra BSEB 12th Maths syllabus is mentioned below in detail. 

Matrices

1. Concept, notation, order, equality, types of matrices, zero and identity matrix, transpose of a matrix.
2. symmetric and skew-symmetric matrices.
3. Operations on matrices: Addition and multiplication and
4. multiplication with a scalar.
5. Simple properties of addition, multiplication, and scalar multiplication.
6. Non-commutativity of multiplication of matrices and the existence of non-zero matrices whose product is the zero matrix (restrict to square matrices of order 2).
7. Invertible matrices and proof of the uniqueness of inverse, if it exists; (Here all matrices will have real entries).

Determinants

1. Determinants of a square matrix (up to 3 x 3 matrices), minors, co-factors, and applications of determinants in finding the area of a triangle.
2. Adjoint and inverse of a square matrix.
3. Consistency, inconsistency, and number of solutions of the system of linear equations by examples, solving a system of linear equations in two or three variables (having unique solution) using the inverse of a matrix.

BSEB 12th Maths Syllabus 2024-25 Unit 3: Calculus

The Calculus chapter is tabulated below for the student's reference. 

Continuity and Differentiability

1. Continuity and differentiability, chain rule, Derivative of inverse trigonometric functions, like sin−1 ????, cos−1 ???? and tan−1 ????, derivative of implicit functions. Concept of exponential and logarithmic functions.
2. Derivatives of logarithmic and exponential functions.
3. Logarithmic differentiation, Derivative of functions expressed in parametric forms. Second-order derivatives

Application of Derivatives

1. Applications of derivatives: rate of change of quantities, increasing/decreasing functions, maxima, and minima (first derivative test motivated geometrically and second derivative test given as a provable tool).
2. Simple problems (that illustrate basic principles and understanding of the subject as well as real-life situations)

Integrals

1. Integration as an inverse process of differentiation, integration of a variety of functions by substitution, partial fractions, and parts; evaluation of simple integrals of the following types and problems based on them.
2. Fundamental Theorem of Calculus (without proof). Basic properties of definite integrals and evaluation of definite integrals.

Applications of the Integrals

Applications in finding the area under simple curves, especially lines, circles/ parabolas/ellipses (in standard form only)

Differential Equations

1. Definition, order, and degree, general and particular solutions of a differential equation.
2. Solution of differential equations by method of separation of variables, solutions of homogeneous differential equations of first order and first degree.
3. Solutions of linear differential equation of the type

BSEB 12th Maths Syllabus 2024-25 Unit 4: Vectors and Three-Dimensional Geometry

The BSEB class 12th Maths syllabus 2024-25 unit 4 details are mentioned below for the student's reference. 

Vectors

1. Vectors and scalars, magnitude and direction of a vector.
2. Direction cosines and direction ratios of a vector.
3. Types of vectors (equal, unit, zero, parallel, and collinear vectors), position vector of a point,
4. negative of a vector, components of a vector, addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio.
5. Definition, Geometrical Interpretation, properties, and application of scalar (dot) product of vectors, vector (cross) product of vectors.

Three-Dimensional Geometry

1. Direction cosines and direction ratios of a line joining two points.
2. Cartesian equation and vector equation of a line, skew lines, the shortest distance between two lines.
3. The angle between two lines.

BSEB 12th Maths Syllabus 2024-25 Unit 5: Linear Programming

This unit covers only one chapter in the Bihar board 12th Maths syllabus which is tabulated below. 

Linear Programming

Introduction, related terminology such as constraints, objective function, optimization, graphical method of solution for problems in two variables, feasible and infeasible regions (bounded or unbounded), feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constraints)

BSEB 12th Maths Syllabus 2024-25 Unit 6: Probability

The unit also covers only one chapter in the BSEB 12th syllabus for 2024-25 which is tabulated below for the student's reference. 

Probability

Probability - Conditional probability, multiplication theorem on probability, independent events, total probability, Bayes’ theorem, Random variable, and its probability distribution, mean of a random variable

Bihar Board 12th Maths Syllabus 2024-25: Marking Scheme

Below is the BSEB 12th Maths syllabus 2024-25 marking scheme, which students must refer to while preparing for the upcoming board exams. However, students must also use the BSEB 12th previous year question papers to understand the paper pattern and its marks distribution.  

Read more: BSEB Class 12 Answer Key 2024-25 

BSEB 12th Maths Syllabus 2024-25: Textbooks

Students must use the BSEB 12th Maths textbook recommended by the school authorities to score higher grades. The BSEB textbook provides a clear explanation with detailed examples. Some of the prescribed BSEB 12th Maths textbooks are as follows. 

Also Read: Bihar Board 12th Books 2024-25

How to Prepare the Class 12 Math Syllabus Bihar Board 2024-25?

The Maths subject is based on calculation and problem-solving, so understanding the concepts plays a significant role. Further, students can use the tips below to put themselves in the right mindset for their Bihar board 12th exam preparation.

Read more: Bihar Board 12th Scrutiny Online Form 2024-25