JKBOSE Class 12 Mathematics Syllabus 2026-27: Unit-Wise Topics, Marks & Exam Pattern
Preparing for the JKBOSE Class 12 Maths Syllabus 2026-27 can become difficult when you have to keep track of multiple units, their marks distribution and the requirements for the theory paper and Internal Assessment. Knowing the Jammu and Kashmir Board Class 12 Maths Syllabus can help you understand the topics covered and how the 80-mark theory paper is divided.
The syllabus includes six units: Relations and Functions, Algebra, Calculus, Vectors and Three-Dimensional Geometry, Linear Programming and Probability. Calculus carries the highest unit-wise weightage with 35 marks, while the subject has 20 marks for Internal Assessment/Project Work. You can regularly visit the official JKBOSE website and official notifications for the latest syllabus, assessment scheme, examination pattern and any subsequent changes, while PW batches can provide additional learning and revision support.
JKBOSE Class 12 Mathematics Syllabus 2026-27: Overview
The Jammu and Kashmir Board Class 12 Mathematics syllabus covers six major units. The unit-wise marks distribution helps students understand how the 80-mark theory paper is divided across the syllabus.
|
Particulars |
Details |
|
Board |
JKBOSE / Jammu and Kashmir Board |
|
Class |
12 |
|
Subject |
Mathematics |
|
Academic Session |
2026-27 |
|
Theory Marks |
80 |
|
Internal Assessment |
20 |
|
Total Marks |
100 |
|
Time Allowed |
3 Hours |
|
Total Units |
6 |
Jammu & Kashmir Board Class 12 Mathematics Syllabus: Overview
The Jammu & Kashmir Board Class 12 Mathematics syllabus covers six major units. The table below lists the chapters included under each unit for the 2026-27 academic session.
|
Mathematics Syllabus Page |
Unit I: Relations and Functions |
|
Unit II: Algebra |
|
|
Unit III: Calculus |
|
|
Unit IV: Vectors and Three-Dimensional Geometry |
|
|
Unit V: Linear Programming |
|
|
Linear Programming |
|
|
Unit VI: Probability |
|
JKBOSE Class 12 Mathematics Unit-wise Syllabus
The JKBOSE Class 12 Mathematics syllabus is divided into six units, with Calculus carrying the highest weightage of 35 marks.
|
Unit |
Marks |
Chapter |
Topics Covered |
|
I. Relations and Functions |
8 |
Relations and Functions |
Types of relations (reflexive, symmetric, transitive, equivalence); one-one and onto functions |
|
Inverse Trigonometric Functions |
Definition, range, domain, principal value branch; graphs of inverse trigonometric functions |
||
|
II. Algebra |
10 |
Matrices |
Concept, notation, order, equality, types (zero, identity), transpose, symmetric and skew-symmetric matrices; addition, multiplication and scalar multiplication with simple properties; non-commutativity of multiplication and non-zero matrices with a zero product (square matrices of order 2); invertible matrices and proof of uniqueness of the inverse (real entries) |
|
Determinants |
Determinant of a square matrix (up to 3×3), minors, cofactors; area of a triangle; adjoint and inverse; consistency, inconsistency and number of solutions of linear systems; solving systems in two or three variables (unique solution) using the inverse of a matrix |
||
|
III. Calculus |
35 |
Continuity and Differentiability |
Continuity and differentiability, chain rule; derivatives of sin⁻¹x, cos⁻¹x, tan⁻¹x; implicit functions; exponential and logarithmic functions and their derivatives; logarithmic differentiation; parametric forms; second-order derivatives |
|
Applications of Derivatives |
Rate of change of quantities; increasing/decreasing functions; maxima and minima (first derivative test motivated geometrically, second derivative test as a provable tool); simple real-life problems |
||
|
Integrals |
Integration as the inverse of differentiation; substitution, partial fractions, by parts; standard forms: ∫dx/(x²±a²), ∫dx/√(x²±a²), ∫dx/√(a²−x²), ∫dx/(ax²+bx+c), ∫dx/√(ax²+bx+c), ∫(px+q)/(ax²+bx+c)dx, ∫(px+q)/√(ax²+bx+c)dx, ∫√(a²±x²)dx, ∫√(x²−a²)dx, ∫√(ax²+bx+c)dx; Fundamental Theorem of Calculus (without proof); properties and evaluation of definite integrals |
||
|
Applications of the Integrals |
Area under simple curves: lines, circles, parabolas, ellipses (standard form only) |
||
|
Differential Equations |
Definition, order and degree, general and particular solutions; separation of variables; homogeneous equations of first order and first degree; linear equations dy/dx + py = q (p, q functions of x or constants) and dx/dy + px = q (p, q functions of y or constants) |
||
|
IV. Vectors and Three-Dimensional Geometry |
14 |
Vectors |
Scalars and vectors, magnitude and direction; direction cosines and ratios; types of vectors (equal, unit, zero, parallel, collinear); position vector, negative of a vector, components; addition and scalar multiplication; section formula; scalar (dot) product with geometrical interpretation and properties; vector (cross) product |
|
Three-Dimensional Geometry |
Direction cosines and ratios of a line joining two points; Cartesian and vector equations of a line; skew lines; shortest distance between two lines; angle between two lines |
||
|
V. Linear Programming |
5 |
Linear Programming |
Constraints, objective function, optimisation; graphical method for two variables; feasible and infeasible regions (bounded or unbounded); feasible and infeasible solutions; optimal feasible solutions (up to three non-trivial constraints) |
|
VI. Probability |
8 |
Probability |
Multiplication theorem; conditional probability; independent events; total probability; Bayes' Theorem; random variable and its probability distribution; mean of a random variable |
|
80 |
Total theory marks |
JKBOSE Class 12 Mathematics Exam Pattern 2026-27
The JKBOSE Class 12 Maths Exam Pattern consists of an 80-mark theory paper divided into four sections. The paper includes objective, very short answer, short answer and long answer questions with internal choice.
|
Section |
Question Type |
Questions |
Marks |
|
Section A |
Objective/MCQ |
10 |
10 |
|
Section B |
Very Short Answer |
10 |
20 |
|
Section C |
Short Answer |
8 |
32 |
|
Section D |
Long Answer with Internal Choice |
3 |
18 |
|
Total |
31 Questions |
80 |
Note: The question paper shall include Higher Order Thinking Skills (HOTS) questions apart from knowledge, memory and application-based questions.
JKBOSE Class 12 Mathematics Books Prescribed
The JKBOSE Class 12 Maths Books prescribed for the subject include the Class XII NCERT Mathematics textbooks and the Mathematics Lab Manual.
|
Book |
Details |
|
Mathematics Part-I Textbook |
Class XII, NCERT Publication |
|
Mathematics Part-II Textbook |
Class XII, NCERT Publication |
|
Mathematics Lab Manual |
Class XII, NCERT |
How to Prepare for JKBOSE Class 12 Mathematics Syllabus?
You can divide your preparation across the six units and give additional practice to topics that require more calculation and problem-solving.
1. Cover the Units Step-by-Step
Complete each unit along with its chapters instead of moving between unrelated topics. Keep track of the chapters you have completed and those that still require revision.
2. Give More Practice to Calculus
Since JKBOSE Class 12 Calculus Syllabus carries 35 marks, practise its chapters regularly. Focus on Continuity and Differentiability, Applications of Derivatives, Integrals, Applications of Integrals and Differential Equations.
3. Practise Numerical Questions
Work through problems from matrices, determinants, vectors, three-dimensional geometry, linear programming and probability after revising the relevant concepts.
4. Revise Important Concepts
Maintain short notes for formulas, definitions, methods and concepts that you find difficult to recall. Use these notes for quick revision before practising questions.
5. Practise the Exam Pattern
Solve JKBOSE questions according to the different sections of the Class 12 Maths Exam Pattern. Include objective, very short answer, short answer and long answer questions in your practice.
6. Prepare for Internal Assessment
Along with the theory syllabus, complete the requirements related to JKBOSE Class 12 Mathematics Internal Assessment or Project Work as applicable.
7. Check Official Updates
Students can regularly visit the official JKBOSE website and check official notifications for the latest Mathematics syllabus, examination pattern, assessment scheme, test schedule and any subsequent changes before starting or updating their preparation.
The JKBOSE Class 12 Maths Syllabus 2026-27 covers six units and includes 80 marks of theory along with 20 marks for Internal Assessment or Project Work. PW supports your preparation for the JKBOSE Exam 2026-27 with learning and revision support to help you prepare for the examination.
JKBOSE Class 12 Maths Syllabus 2026 FAQs
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