MP Board Class 12 Mathematics Syllabus 2027 covers major topics such as Relations and Functions; principal values; properties of Inverse Trigonometric Functions; Types, operations, properties, and transpose of Matrices; Linear equations; Differential equations; continuity, differentiability, derivatives; Rate of change, increasing/decreasing functions, maxima/minima; Integration, definite and indefinite integrals; Vector Algebra; Three-Dimensional Geometry; Linear Programming; and Probability (Conditional probability, Bayes’ theorem, independent events).

Algebraic concepts build the foundation of advanced mathematical relationships and cover Matrices and Determinants, which are essential for solving systems of equations. Calculus forms a major portion of the syllabus, including Continuity and Differentiability, Applications of Derivatives, Integrals, Applications of Integrals, etc. MP Board Class 12 Mathematics Syllabus 2027 provides a balanced combination of algebra, calculus, vectors, geometry, linear programming, and probability. Each unit builds logical thinking, problem-solving ability, and mathematical reasoning.

Table of Contents

MP Board Class 12 Mathematics Syllabus 2027
MP Board Class 12 Mathematics Exam Pattern 2027

MP Board Class 12 Mathematics Syllabus 2027

MP Board Class 12 Mathematics Syllabus 2027 covers chapters like Relations and Functions, Inverse Trigonometric Functions, Matrices, Determinants, Continuity and Differentiability, Applications of Derivatives, Integrals, Applications of Integrals, Differential Equations, Vector Algebra, Three-Dimensional Geometry, Linear Programming, and Probability. MP Board Class 12th Mathematics Syllabus 2027 also covers topics like Vector Algebra and Three-Dimensional Geometry to develop spatial understanding, along with Linear Programming for real-life optimisation problems. The units and detailed chapter-wise topics for MP Board Class 12 Mathematics are provided in the table below.

Units

Chapter-wise Topics

Unit 1 – Relations and Functions

Chapter 1: Relations and Functions

• Types of relations

• Reflexive relations

• Symmetric relations

• Transitive relations

• Equivalence relations

• One-one functions

• Onto functions

• Composite functions

• Inverse of a function

• Binary operations

Chapter 2: Inverse Trigonometric Functions

• Inverse trigonometric functions

• Domain

• Range

• Principal value branches

• Properties of inverse trigonometric functions

• Graphs of inverse trigonometric functions

Unit 2 – Algebra

Chapter 3: Matrices

• Types of matrices

• Matrix operations

• Addition of matrices

• Scalar multiplication

• Multiplication of matrices

• Non-commutativity of matrix multiplication

• Elementary row operations

• Elementary column operations

• Invertible matrices

• Inverse of a matrix

Chapter 4: Determinants

• Determinants

• Properties of determinants

• Minors

• Cofactors

• Adjoint

• Inverse of a matrix

• Consistency and inconsistency

• System of linear equations

• Solutions of equations in two and three variables

Unit 3 – Calculus

Chapter 5: Continuity and Differentiability

• Continuity

• Differentiability

• Logarithmic functions

• Exponential functions

• Chain rule

• Derivatives of inverse trigonometric functions

• Implicit differentiation

• Logarithmic differentiation

• Parametric differentiation

• Second-order derivatives

• Rolle's Mean Value Theorem

• Lagrange's Mean Value Theorem

Chapter 6: Applications of Derivatives

• Rate of change

• Increasing and decreasing functions

• Tangents and normals

• Approximation

• Maxima and minima

Chapter 7: Integrals

• Indefinite integration

• Definite integration

• Integration by substitution

• Integration by parts

• Partial fractions

• Properties of definite integrals

• Fundamental theorem of calculus

Chapter 8: Applications of Integrals

• Areas under curves

• Areas bounded by straight lines

• Areas involving circles

• Areas involving ellipses

• Areas involving parabolas

• Area between curves

Chapter 9: Differential Equations

• Introduction

• Order

• Degree

• Formation of differential equations

• General solution

• Particular solution

• Separation of variables

• Linear differential equations

• Equations of the form dy/dx + py = q

Unit 4 – Vectors and 3-D Geometry

Chapter 10: Vector Algebra

• Vectors and scalars

• Magnitude and direction

• Direction ratios of a vector

• Direction cosines

• Types of vectors

• Components of vectors

• Position vectors

• Section formula

• Scalar triple product of vectors

• Geometrical applications

• Magnitude and direction of a vector• Position vector of a point dividing a line in an assigned ratio• Geometrical evaluation of vectors• Scalar (dot) product of vectors: properties and applications• Vector (cross) product of vectors: properties and applications

Chapter 11: Three-Dimensional Geometry

• Direction ratios

• Direction cosines

• Line joining two points

• Cartesian equation of a line

• Vector equation of a line

• Cartesian equation of a plane

• Vector equation of a plane

• Angle between two lines

• Angle between line and plane

• Angle between two planes

• Distance between points, lines and planes• Relationships between lines and planes

Unit 5 – Linear Programming

Chapter 12: Linear Programming

• Definition

• Objective function

• Constraints

• Optimisation

• Types of linear programming problems

• Mathematical formulation

• Graphical method

• Feasible region

• Infeasible region

• Feasible solution

• Infeasible solution

• Optimal solution

Unit 6 – Probability

Chapter 13: Probability

• Conditional probability

• Multiplication theorem

• Total probability

• Independent events

• Bayes' theorem

• Random variable

• Probability distribution of a random variable

• Mean of a random variable• Variance of a random variable• Binomial distribution• Bernoulli trials and related probability concepts

MP Board Class 12 Mathematics Exam Pattern 2027

MP Board Class 12 Mathematics Exam Pattern 2027 indicates that the paper will contain objective questions, 2-mark questions, 3-mark questions, and 4-mark questions. The objective questions will include multiple-choice questions, fill in the Blanks, True/False, match the following, and answer in one sentence.

Particulars

Details

Marks Allotted for Theory Paper

80 marks

Time Duration

3 hours

Total Number of Questions

23 questions

Pattern of Questions 1–5

32 objective questions carrying 1 mark each

Pattern of Questions 6–15

10 Very Short Answer type questions carrying 2 marks each

Question Numbers 16–19

4 Short Answer questions carrying 3 marks each

Question Numbers 20–23

4 Long Answer questions carrying 4 marks each

Total Theory Marks

Negative Marking

MP Board Class 12 Mathematics Question Paper Pattern 2027

Questions 1–5 contain 32 objective questions, Questions 6–15 carry 2 marks, Questions 16–19 carry 3 marks, and Questions 20–23 carry 4 marks. The total marks allotted to the theory paper are 80 marks, and the duration of the exam is 3 hours.

Question Number

Type of Questions

Number of Questions

Marks per Question

Total Marks

1–5

Objective-type questions

6–15

Very Short Answer

16–19

Short Answer

20–23

Long Answer

Total

—

50 individual questions

—

MP Board Class 12 Mathematics Chapter-wise Marks 2027

MP Board Class 12 Mathematics high-weightage topics include Integrals (12 marks), Continuity and Differentiability (8 marks), Vector Algebra (7 marks), Three-Dimensional Geometry (7 marks), Matrices (6 marks), Determinants (6 marks), Applications of Derivatives (6 marks), and Differential Equations (6 marks). The chapter-wise marks distribution has been provided in the table below.

Chapter

Marks

Relations and Functions

Inverse Trigonometric Functions

Matrices

Determinants

Continuity and Differentiability

Applications of Derivatives

Integrals

Applications of Integrals

Differential Equations

Vector Algebra

Three-Dimensional Geometry

Linear Programming

Probability

Total

Also Check: MP Board Class 12th Computer Science Syllabus 2027

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