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Class 10 Exam

UP Board Class 12 Maths Syllabus 2026

Each academic session, the UP Board publishes the new Class 12 Maths syllabus and exam format to provide students with an adequate opportunity to efficiently plan their exam preparation based on the syllabus. The syllabus for the 2025–26 session has also been developed to provide more clarity to students on improving mathematical thinking, analytical thinking, and problem-solving while benefiting students in the areas of higher education and competitive exams (JEE, NDA, CUET, Polytechnic entrances and various state-level engineering exams).

1.0UP Board Class 12 Maths Syllabus 2026 : Unit-wise

The board also kept the evaluation structure of 100 marks; including multiple-choice questions (MCQs) and Subjective answers. Students should note that Calculus, Algebra, and Probability comprise around 60% of the syllabus; therefore, these chapters' importance is far greater for revision. The question paper's assessment also covers stepwise marking, logical reasoning, algebraic manipulation, diagrammatic representation (in the cases of LPP and 3D Geometry), and clarity of problem solving.

Unit No.	Unit Name	Marks	Detailed Topics Included (English Translation)
1	Relations & Functions	10	Types of relations: reflexive, symmetric, transitive, equivalence; types of functions; composite and invertible functions; inverse trigonometric functions — definition, domain, range, principal values, properties.
2	Algebra	15	Matrices: concept, notation, types, equality, zero/identity matrix, operations, multiplication rules, transpose, symmetric & skew-symmetric matrices, determinants (up to 3×3), minors & cofactors, adjoint, inverse, solving linear equations using matrix method. Determinants: properties, area of triangle using determinants, applications in solving 2×2 and 3×3 systems of equations.
3	Calculus	44	Continuity & Differentiability: continuity, differentiability, chain rule, derivative of composite & implicit functions, logarithmic differentiation, parametric differentiation, derivative of inverse functions, second-order derivatives. Applications of Derivatives: rate of change, increasing/decreasing functions, maxima–minima, tangent & normal, approximate values, Rolle’s Theorem & Mean Value Theorem (statement only). Integration: methods of integration — substitution, partial fractions, by parts; integration of algebraic, trigonometric & exponential functions. Definite Integrals: definition as limit of a sum, properties, evaluation. Applications of Integrals: area between curves, area under curves (line, parabola, circle, etc.). Differential Equations: formation of DEs, solutions of first-order DEs (dy/dx + py = q) and (dx/dy + px = q).
4	Vectors & Three-Dimensional Geometry	18	Vectors: magnitude & direction, position vector, unit vector, addition, subtraction, scalar multiplication, dot & cross product, projection of a vector, section formula. 3D Geometry: direction cosines & ratios, equation of a line, shortest distance between lines, angle between lines, equation of a plane, distance of a point from a plane, angle between planes.
5	Linear Programming	05	Formulation of linear programming problems, graphical solution method, feasible region, optimal values (maximum/minimum).
6	Probability	08	Random experiment, sample space, types of events, independent events, conditional probability, multiplication rule, Bayes’ theorem, random variable, probability distribution, binomial distribution & mean.
Total	—	100 Marks	—

2.0How to Prepare for UPMSP Class 12 Maths

Start with the NCERT + UP Board textbook
Make a formula notebook
Solve 10+ sample papers before February.
Practice full-length papers in 3 hours
Focus on Calculus + Algebra + Probability.
Revise graphs, LPP, and 3D Geometry formulas daily

Exam Guide for Biology

UP Class 12 Maths Exam Overview

UP Class 12 Maths Syllabus & Exam Pattern

UP Class 12 Maths Sample Papers

UP Class 12 Maths Previous Year Papers

UP Class 12 Maths Preparation Tips

MSBSHSE Class 12 All Subjects

UP Class 12 Biology

UP Class 12 Physics

UP Class 12 Chemistry

Other State Boards

Maharashtra – MSBSHSE

Bihar – BSEB

Madhya Pradesh – MPBSE

Uttar Pradesh – UPMSP

Test Prep Study Materials

JEE Previous Year Papers

JEE Sample Papers

JEE Mock Test

NEET Previous Year Papers

NEET Sample Papers

NEET Mock Test

Frequently Asked Questions

Join ALLEN!

(Session 2026 - 27)

Name

Mobile Number

Class

Choose class

Goal

Choose your goal

Preferred Programs

Preferred Mode

State

Choose State

I agree to

I authorise ALLEN Career Institute Pvt Ltd to send me regular updates via Phone calls, Whatsapp, SMS, Robocalls (Automated Calls), Emails, or on postal address.

UP Board Class 12 Maths Syllabus 2026

Each academic session, the UP Board publishes the new Class 12 Maths syllabus and exam format to provide students with an adequate opportunity to efficiently plan their exam preparation based on the syllabus. The syllabus for the 2025–26 session has also been developed to provide more clarity to students on improving mathematical thinking, analytical thinking, and problem-solving while benefiting students in the areas of higher education and competitive exams (JEE, NDA, CUET, Polytechnic entrances and various state-level engineering exams).

1.0UP Board Class 12 Maths Syllabus 2026 : Unit-wise

The board also kept the evaluation structure of 100 marks; including multiple-choice questions (MCQs) and Subjective answers. Students should note that Calculus, Algebra, and Probability comprise around 60% of the syllabus; therefore, these chapters' importance is far greater for revision. The question paper's assessment also covers stepwise marking, logical reasoning, algebraic manipulation, diagrammatic representation (in the cases of LPP and 3D Geometry), and clarity of problem solving.

Unit No.	Unit Name	Marks	Detailed Topics Included (English Translation)
1	Relations & Functions	10	Types of relations: reflexive, symmetric, transitive, equivalence; types of functions; composite and invertible functions; inverse trigonometric functions — definition, domain, range, principal values, properties.
2	Algebra	15	Matrices: concept, notation, types, equality, zero/identity matrix, operations, multiplication rules, transpose, symmetric & skew-symmetric matrices, determinants (up to 3×3), minors & cofactors, adjoint, inverse, solving linear equations using matrix method. Determinants: properties, area of triangle using determinants, applications in solving 2×2 and 3×3 systems of equations.
3	Calculus	44	Continuity & Differentiability: continuity, differentiability, chain rule, derivative of composite & implicit functions, logarithmic differentiation, parametric differentiation, derivative of inverse functions, second-order derivatives. Applications of Derivatives: rate of change, increasing/decreasing functions, maxima–minima, tangent & normal, approximate values, Rolle’s Theorem & Mean Value Theorem (statement only). Integration: methods of integration — substitution, partial fractions, by parts; integration of algebraic, trigonometric & exponential functions. Definite Integrals: definition as limit of a sum, properties, evaluation. Applications of Integrals: area between curves, area under curves (line, parabola, circle, etc.). Differential Equations: formation of DEs, solutions of first-order DEs (dy/dx + py = q) and (dx/dy + px = q).
4	Vectors & Three-Dimensional Geometry	18	Vectors: magnitude & direction, position vector, unit vector, addition, subtraction, scalar multiplication, dot & cross product, projection of a vector, section formula. 3D Geometry: direction cosines & ratios, equation of a line, shortest distance between lines, angle between lines, equation of a plane, distance of a point from a plane, angle between planes.
5	Linear Programming	05	Formulation of linear programming problems, graphical solution method, feasible region, optimal values (maximum/minimum).
6	Probability	08	Random experiment, sample space, types of events, independent events, conditional probability, multiplication rule, Bayes’ theorem, random variable, probability distribution, binomial distribution & mean.
Total	—	100 Marks	—