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UP Board Class 12 Maths Syllabus 2026 – Exam Pattern, Marking Scheme & PDF
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
- UP Board 12th Class Maths Total Marks & Exam Duration
- UP Board Class 12 Chapter Wise Maths Syllabus 2026
- UPMSP Class 12 Maths Marking Scheme 2026
- How to Prepare for UP Board Class 12 Maths Exam 2026?
UP Board 12th Class Maths Total Marks & Exam Duration
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.
UP Board Class 12 Chapter Wise Maths Syllabus 2026
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. | - |
UPMSP Class 12 Maths Marking Scheme 2026
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 |
How to Prepare for UP Board Class 12 Maths Exam 2026?
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)
Q: Which chapter has the highest weightage in the UP Board syllabus for class 12?
A:
The calculus and differential equations carry the highest number of marks, which is 44 out of 100.
Q: Which book is used for UP Board Class 12 Mathematics?
A:
The UP Board prescribes the NCERT books for class 12 maths.
Q: What is the syllabus for the UP Board Class 12?
A:
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.
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Questions related to UP Board 12th
On Question asked by student community
Have a question related to UP Board 12th ?
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!!
If you have already given the improvement exam and want to use the marksheet in UPTAC counselling when physical reporting, you can just mention the name of the school/college mentioned on the marksheet and the passing year printed on it, which is the latest passing year, i.e., 2025.
Also, check out the UTPAC Seat Allotment 2025
It is not possible to predict exactly what questions will be asked in the UP Board Class 12 Hindi exam 2026. However, you can get a good idea of the UP 10th exam pattern and important topics by carefully studying the official UPMSP 10th syllabus and practising with the latest UPMSP Class 10 model papers . Focus on grammar, writing skills, and important chapters from the textbook, as these areas are significant. A thorough preparation of important topics along with model paper practice will give you confidence for the exam.
Hello
Yes, you can take pcmb.the UP Board does allow students to choose all four science subjects:
Physics
Chemistry
Mathematics
Biology
This combination is commonly called PCMB, and it's available in many government and private intermediate colleges affiliated with UP Board.
PhysicsCommon for NEET and JEE
ChemistryCommon for NEET and JEE
BiologyRequired for NEET
MathematicsRequired for JEE
Hindi/EnglishLanguage requirement (compulsory)
So by taking pcmb you are eligible for both neet and jee
Note:PCMB is demanding — you'll be covering two major streams (Medical + Engineering), so manage your time and focus well.
Some rural or small schools may not offer both Math and Biology due to limited teachers — confirm availability before admission.
Private schools affiliated to UP Board usually offer more flexibility in subject selection.
Choose a school that has proper faculty for both Maths and Biology.
The UP Board 12th exam 2026 will be held from February to March 2026. As per previous data, the students can choose to appear for the exam in any medium, depending on what they have chosen at their school. Those who have enrolled in the English medium will receive the English medium question paper, while Hindi medium students will have their paper in Hindi.
Check out UP Board 12th model papers . It will help you with the UP Board 12th exam preparation.
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