UP Board Class 12 Maths Syllabus 2027 for the 2026-27 session is available from the Uttar Pradesh Madhyamik Shiksha Parishad (UPMSP) at upmsp.edu.in. The paper is for 100 marks and has 6 units. Students should plan their study around Calculus, which carries 44 marks.
- The Maths paper is for 100 marks and has 6 units.
- Calculus has the highest weightage at about 44 marks.
- Vectors and 3D Geometry follows with about 18 marks, then Algebra with about 15 marks.
- No deleted or reduced topics have been announced for 2026-27.
- You should treat the NCERT Class 12 Maths textbooks as your main source.
- The official syllabus PDF is available at upmsp.edu.in.
Also Check:
- UP Board Syllabus 2027: Subject Wise Topics, Chapter Wise Weightage and PDF Download
- UP Board Exam Pattern 2027: Revised 80+20 Pattern for Class 12, Marking Scheme and Question Types
Key Summary
- UP Board Class 12 Maths syllabus 2026-27 is for 100 marks, all theory.
- The syllabus has 6 units: Relations and Functions, Algebra, Calculus, Vectors and 3D Geometry, Linear Programming and Probability.
- Calculus has the highest weightage at about 44 marks.
- No topic deletion has been announced for the 2026-27 session.
- Theory exams are expected in February to March 2027, but dates are not confirmed.
| Table of Contents |
UP Board Class 12 Maths Syllabus 2027: Overview
UPMSP prescribes one Maths paper of 100 marks for Class 12. The syllabus follows the NCERT pattern and has no practical component.
| Particulars | Details |
|---|---|
| Board | Uttar Pradesh Madhyamik Shiksha Parishad (UPMSP) |
| Class and subject | Class 12 Mathematics |
| Session | 2026-27 |
| Total marks | 100 (theory only) |
| Number of units | 6 |
| Exam duration | 3 hours |
Source: UPMSP Official Website
Related Links:
UP Board Class 12 Maths Syllabus 2027: Important Dates
UPMSP has not yet confirmed the 2027 theory exam dates. Based on earlier years, you can expect the exams in February to March 2027.
| Event | Date |
|---|---|
| Syllabus 2026-27 | Released |
| Theory exams | Expected February to March 2027 (not confirmed) |
| Result | To be announced by UPMSP |
UP Board Class 12 Maths Syllabus 2027: Unit-Wise Marks
Calculus alone carries nearly half the paper. Use this table to divide your study time.
| Unit | Unit Name | Approx. Marks |
|---|---|---|
| I | Relations and Functions | 10 |
| II | Algebra | 15 |
| III | Calculus | 44 |
| IV | Vectors and 3D Geometry | 18 |
| V | Linear Programming | 5 |
| VI | Probability | 8 |
| Total | 100 |
UP Board Class 12 Maths Syllabus 2026-27: Chapter List
Unit I: Relations and Functions
| Chapter | Topics Covered | Approx. Marks |
|---|---|---|
| Relations and Functions | Reflexive, symmetric, transitive and equivalence relations; one-one and onto functions; composition; invertible functions | 10 |
| Inverse Trigonometric Functions | Domain, range, principal values, graphs and properties |
Unit II: Algebra
| Chapter | Topics Covered | Approx. Marks |
|---|---|---|
| Matrices | Types of matrices, operations, transpose, symmetric and skew-symmetric matrices | 15 |
| Determinants | Determinants up to order 3, minors, cofactors, properties, area of a triangle, adjoint, inverse, and solving linear equations |
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Unit III: Calculus
| Chapter | Topics Covered | Approx. Marks |
|---|---|---|
| Continuity and Differentiability | Chain rule, implicit and inverse trigonometric derivatives, exponential and logarithmic derivatives, logarithmic differentiation, parametric derivatives, second-order derivatives | 44 |
| Applications of Derivatives | Rate of change, increasing and decreasing functions, maxima and minima, first and second derivative tests | |
| Integrals | Substitution, partial fractions, integration by parts, standard forms, definite integrals and their properties | |
| Applications of Integrals | Area under and between lines, circles, parabolas and ellipses | |
| Differential Equations | Order, degree, general and particular solutions, variable separation, first-order linear equations |
Unit IV: Vectors and Three-Dimensional Geometry
| Chapter | Topics Covered | Approx. Marks |
|---|---|---|
| Vectors | Types of vectors, direction cosines and ratios, section formula, dot product, cross product, projection | 18 |
| Three-Dimensional Geometry | Lines in vector and Cartesian form, angle between lines, coplanar and skew lines, shortest distance |
Unit V: Linear Programming
| Chapter | Topics Covered | Approx. Marks |
|---|---|---|
| Linear Programming | Constraints, objective function, feasible region, graphical solution in two variables, bounded and unbounded regions, optimal solution | 5 |
Unit VI: Probability
| Chapter | Topics Covered | Approx. Marks |
|---|---|---|
| Probability | Conditional probability, multiplication theorem, independent events, total probability, Bayes' theorem | 8 |
UP Board Class 12 Maths: Most Important Chapters
Calculus, Vectors and 3D Geometry, and Algebra together carry about 77 marks. Give these three units the most practice time.
| Priority | Unit | Why It Matters |
|---|---|---|
| High | Calculus | About 44 marks, with five chapters to practise |
| High | Vectors and 3D Geometry | About 18 marks and formula-based questions |
| Medium | Algebra | About 15 marks and easy scoring in matrices and determinants |
| Medium | Relations and Functions | About 10 marks, including inverse trigonometry |
| Quick wins | Probability and Linear Programming | About 13 marks together, with short, standard problems |
UP Board Class 12 Maths: Deleted or Reduced Topics 2026-27
No topic has been announced as deleted or reduced for the 2026-27 Maths syllabus. You should prepare all six units.
Older online PDFs may show a reduced syllabus. Always follow the latest document on the UPMSP website.
UP Board Class 12 Maths Unit Tests 2026-27
These are school-level tests. Their marks are not counted in the final board result.
| Test | Type | Marks | Month |
|---|---|---|---|
| First Test | MCQ | 20 (includes 10 for summer homework) | July |
| Second Test | Descriptive | 20 | August |
| Third Test | MCQ | 20 | November |
| Fourth Test | Descriptive | 20 | December |
Best Books for UP Board Class 12 Maths 2027
| Book | Author / Publisher | Why This Book |
|---|---|---|
| Mathematics Part I and Part II (Class 12) | NCERT | Main source for theory, examples and exercises |
| Mathematics Class 12 | R.D. Sharma (Dhanpat Rai) | Extra practice in Calculus, Vectors and Algebra |
How to Download UP Board Class 12 Maths Syllabus 2027 PDF
Follow these steps to download the official Maths syllabus PDF.
- Visit the official UPMSP website at upmsp.edu.in.
- Open the "Downloads" section and select "Syllabus".
- Choose Class 12 and open the Mathematics file.
- The PDF will open in a new tab.
- Press Ctrl + S (Windows) or Cmd + S (Mac) to save it.
UP Board Class 12 Maths Preparation Tips 2027
Calculus
- Practise differentiation rules daily until they feel automatic.
- Solve every NCERT integral exercise, including by parts and partial fractions.
- Revise area and differential equation questions in the last month.
Algebra and Functions
- Learn the properties of determinants and the matrix method of solving equations.
- Memorise the principal value ranges of inverse trigonometric functions.
Vectors, 3D Geometry, LPP and Probability
- Keep a one-page formula sheet for vectors and lines in space.
- Draw a neat graph for every Linear Programming problem.
- Practise Bayes' theorem questions with a tree diagram.
- Attempt full papers in 3 hours to build speed.
UP Board Class 12 Maths Syllabus 2027: FAQs
Ques. Has the UP Board Class 12 Maths syllabus 2026-27 been released?
Ans. Yes. The syllabus for the 2026-27 session is available on the UPMSP website.
Ques. How many marks is the UP Board Class 12 Maths paper?
Ans. The paper is of 100 marks and is all theory. There is no practical component.
Ques. How many units are there in the UP Board Class 12 Maths syllabus?
Ans. The syllabus has 6 units. They are Relations and Functions, Algebra, Calculus, Vectors and 3D Geometry, Linear Programming and Probability.
Ques. Which unit has the highest weightage in UP Board Class 12 Maths?
Ans. Calculus has the highest weightage at about 44 marks.
Ques. Are any topics deleted from the UP Board Class 12 Maths syllabus 2026-27?
Ans. No deletion has been announced. Follow the full syllabus.
Ques. Is NCERT enough for UP Board Class 12 Maths?
Ans. NCERT is the main source. You can add R.D. Sharma for extra practice in Calculus and Vectors.
Ques. Which are the most important chapters in UP Board Class 12 Maths?
Ans. Integrals, Applications of Derivatives, Differential Equations, Vectors, 3D Geometry and Matrices and Determinants are the most important.
Ques. Is Linear Programming in the UP Board Class 12 Maths syllabus?
Ans. Yes. It is Unit V and carries about 5 marks.
Ques. Is Bayes' theorem in the UP Board Class 12 Maths syllabus?
Ans. Yes. It is part of the Probability unit.
Ques. Where can I download the UP Board Class 12 Maths syllabus PDF?
Ans. You can download it from the Downloads section of upmsp.edu.in.
Ques. When will the UP Board Class 12 exams 2027 be held?
Ans. UPMSP has not confirmed the dates yet. Exams are expected in February to March 2027.
Ques. How should I cover the Maths syllabus in time?
Ans. Finish Calculus first, then Vectors and Algebra. Keep the last month for full papers and revision.
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