The Uttar Pradesh Madhyamik Shiksha Parisad (UPMSP) has released the UP board class 12 mathematics syllabus on the official website. The class 12 maths syllabus covers topics like relations and functions, probability, linear programming, algebra, vectors and calculus. The UP Board 12th exams are expected to be held in February and March 2026, giving the students ample time to prepare for the examination. Students can go through the details of the UP Board class 12 maths syllabus 2026.
This Story also Contains
The mathematics portion of the UP Board class 12 syllabus 2025-26 constitutes a total of 100 marks, and the students get 3 hours to solve the paper in the board examination. This subject requires regular practice and a thorough understanding of the basic concepts. Class 12th plays a crucial part in the academic life of students; therefore, they must stay focused to score high. Students can take the help of their teachers or parents to clear all their doubts to avoid last-minute hassle while revising.
The chapter-wise breakdown of the UP Board Class 12 Maths Syllabus 2026 has been mentioned in the table given below.
Unit | Chapter | Topics |
Relations and functions | Types of relations | Reflexive, symmetric, transitive, equivalence relations, functions- one-one, onto, composition of functions, invertible functions, and binary operations |
Inverse trigonometric functions | Definition, domain, range, principal values, graphs of inverse trigonometric functions, elementary properties | |
Algebra | Matrices | Types, equality, addition, multiplication, scalar multiplication, non-commutative multiplication, existence of non-zero matrices, transpose, symmetric and skew-symmetric matrices, elementary operations, invertible matrices, proof of uniqueness |
Determinants | Determinants of square matrices, properties, mirrors, cofactors, and applications in solving systems | |
Calculus and differential equations | Continuity and Differentiability | Continuity, differentiability, chain rule, derivatives of inverse trigonometric functions, exponentials and logarithmic functions, second order derivatives, mean value theorem. |
Application of derivatives | Rate of change, increasing/decreasing functions, maxima and minima, simple problems on tangents, normals, optimisation | |
Integrals | Methods, integrals of standard functions, definite integrals, and evaluation, and their properties, | |
Applications of integrals | Area under simple curves | |
Differentials equations | Definition, order, degree, formation of differential equations, solution by separation of variables, homogeneous differential equations, linear differential equations of the form. | |
Vectors and three-dimensional geometry | Vectors | Magnitude, direction, unit vector, equal vector, collinear vectors, position vector, scalar multiplication, addition, scalar product, vector product, scalar triple product. |
Three-Dimensional geometry | Direction cosines, direction ratios, equation of a line in space, equation of a plane, angle between two lines, line and plane, two planes, shortest distance between two lines | |
Linear Programming | Problems involving two variables, graphical method of solutions, feasible region, feasible and infeasible solutions, optimal solution | - |
Probability | Conditional probability, multiplication theorem of probability, independent events, Bayes’ theorem, random variable, probability distribution, mean and variance of a random variable. | - |
The topic-wise marking scheme for the UPMSP 12th Class maths syllabus has been mentioned in the table given below. This will help the students to understand which section has higher mark weightages and which section they should focus on for their preparation.
Unit | Marks |
Relations and functions | 10 |
Algebra | 15 |
Calculus and differential equations | 44 |
Vector and three-dimensional geometry | 18 |
Linear programming | 05 |
Probability | 08 |
Total | 100 |
Students can get familiar with the detailed UP Board class 12 maths syllabus 2026, along with the topics they need to cover throughout their academic year.
While studying any chapter and solving problems, students must clearly understand all the basic concepts. This will help them tackle the questions and save a lot of time while revising.
Regular practice is quite important in this subject; students can make a plan to divide the chapter into daily routines. By creating a routine, they will be able to practice without missing out on any important chapter.
Students can use sample papers and mock tests to practice and analyse their performance. They can evaluate their weaknesses and strengths.
Also check,
Frequently Asked Questions (FAQs)
The calculus and differential equations carry the highest number of marks, which is 44 out of 100.
The UP Board prescribes the NCERT books for class 12 maths.
The UP Board class 12 maths syllabus 2026 includes Relations and Functions, Algebra, Calculus and differential equations, Vector and three-dimensional geometry, Linear programming, and Probability.
On Question asked by student community
Hello,
The UP Board 2025-26 physics syllabus is divided into the following units:
You can download the full pdf on physics syllabus UP Board through this link:
https://school.careers360.com/boards/upmsp/up-board-class-12-physics-syllabus
I hope this answer helps you!
Hello,
Yes, if you have passed your 12th from the UP board in 2025, you can appear for the improvement examination in 2026. You can take the improvement exam for one or more subjects to improve your performance. You need to follow these steps
I hope it will clear your query!!
Hello,
Here is the link where you will get the Question Paper : UP Board Class 12 Physics Question Paper 2025 with solutions
Hope it helps !
The UP Board Hindi medium syllabus for 2025,26 covers all main subjects for classes 9 to 12. This includes Hindi, English, Sanskrit, Urdu, Mathematics, Science, Social Science, Home Science, Computer, and optional subjects like Arts or Music. You can download the syllabus directly from the official UPMSP website. Simply select your class and click the download link for each subject. This ensures you have the latest syllabus for exam preparation. It’s important to follow the official syllabus to stay updated with all topics.
The Uttar Pradesh Madhyamik Shiksha Parishad (UPMSP) has released the syllabus for Class 12 Hindi for the academic year 2025-26.
Here is the link
download UP BOARD CLASS 12TH SYLLABUS
good luck!!
This ebook serves as a valuable study guide for NEET 2025 exam.
This e-book offers NEET PYQ and serves as an indispensable NEET study material.
As per latest syllabus. Physics formulas, equations, & laws of class 11 & 12th chapters
As per latest syllabus. Chemistry formulas, equations, & laws of class 11 & 12th chapters
As per latest 2024 syllabus. Study 40% syllabus and score upto 100% marks in JEE
As per latest syllabus. Maths formulas, equations, & theorems of class 11 & 12th chapters