UP Board Class 12 Mathematics Syllabus 2025-26 & Result 2026 Update
UP Board Class 12 Result 2026 Out
The UP Board Class 12 Result 2026 was released on 23 April 2026 by the Uttar Pradesh Madhyamik Shiksha Parishad (UPMSP). Students who appeared for the Intermediate examinations can check their results online through the official website or DigiLocker using their roll number. The marksheet displays subject-wise marks, overall percentage, and qualifying status. Candidates must secure a minimum of 33% marks in each subject to pass the examination.
Click Here to Know about UP Board Result Details: UP Board Class 12 Result 2026
UP Board Class 12 Mathematics Syllabus 2025-26 Overview
Mathematics plays a pivotal role in shaping logical and analytical thinking. The subject is not just about numbers and formulas but also focuses on developing reasoning, data interpretation, and geometric understanding.
The UP Board Class 12 Mathematics Syllabus 2025-26 comprises six broad units:
- Relations and Functions
- Algebra
- Calculus
- Linear Programming and Vectors
- Probability
- Project Work and Internal Assessment
This new format aims to make students more competent in handling complex mathematical problems while aligning with modern education goals.
| UP Board Class 12 Mathematics Syllabus Overview | |
| Particulars | Details |
| Exam Name | UP Board Class 12 Mathematics |
| Board | Uttar Pradesh Madhyamik Shiksha Parishad (UPMSP) |
| Total Marks | 100 |
| Duration | 3 Hours |
| Medium | Hindi / English (as per student preference) |
| Assessment Format | Written Exam (100% Theory-based) |
UP Board Class 12 Mathematics Syllabus 2025-26 Marks Distribution
Here’s a quick overview of how marks are allocated across the different units in the UP Board Class 12 Mathematics Syllabus 2025-26. This helps students prioritize chapters and streamline their study plan accordingly.
| UP Board Class 12 Mathematics Syllabus Marks Distribution | |
| Unit | Marks |
| Relations and Functions | 10 |
| Algebra | 15 |
| Calculus | 44 |
| Linear Programming & Vectors | 18 |
| Probability | 05 |
| Internal Assessment (Project Work) | 08 |
| Total | 100 |
UP Board Class 12th Mathematics Syllabus
2025-26
Unit-wise Topics in UP Board Class 12 Mathematics Syllabus 2025-26
This section offers a comprehensive overview of each unit included in the UP Board Class 12 Mathematics Syllabus 2025-26. It highlights key topics and mark allocations to help students prioritize their study plan effectively.
Relations and Functions (10 Marks)
- Types of relations: reflexive, symmetric, transitive, equivalence
- Functions: one-one, onto, bijective
- Composition of functions and inverse of a function
- Binary operations and graphical representation
This unit lays the foundation for understanding mappings and logical connections between sets, which are key concepts in advanced mathematics.
Algebra (15 Marks)
- Matrices: types, operations, zero and identity matrices
- Determinants: properties and applications
- Inverse of matrices using elementary transformations
- Solving systems of linear equations using matrices
Algebraic expressions and matrices are central to computational problems, and the UP Board Class 12 Mathematics Syllabus 2025-26 ensures thorough practice and clarity in this domain.
Calculus (44 Marks)
Calculus is the heart of Class 12 mathematics and holds maximum weightage.
Continuity and Differentiability:
- Derivatives of composite, implicit, and parametric functions
- Second-order derivatives
- Exponential and logarithmic differentiation
Application of Derivatives:
- Increasing and decreasing functions
- Maxima and minima
- Tangents and normals
Integrals:
- Indefinite integrals of standard functions
- Methods of integration: substitution, partial fractions, by parts
- Definite integrals and properties
Application of Integrals:
- Area under curves
- Area between two curves
Differential Equations:
- Formation and solution of differential equations
- General and particular solutions
- Applications of first-order equations
The UP Board Class 12 Mathematics Syllabus 2025-26 ensures that calculus is not just theoretically understood but also practically applied in various mathematical models.
Linear Programming & Vectors (18 Marks)
This section covers:
Vectors:
- Direction cosines and ratios
- Scalar and vector products
- Section formula
Linear Programming:
- Graphical method of solving linear inequalities
- Maximization and minimization problems
This unit tests the students’ ability to visualize and solve real-world problems using mathematical tools, a key feature of the UP Board Class 12 Mathematics Syllabus 2025-26.
Probability (05 Marks)
- Conditional probability
- Independent events
- Bayes’ Theorem
- Probability distribution of a random variable
- Mean and variance of binomial distribution
Despite its lower marks, this topic is crucial for statistical and logical reasoning, and is vital for competitive exam preparation.
Internal Assessment (Project Work) (08 Marks)
Students are expected to complete projects based on real-life mathematical applications
Focus on reasoning, visualization, and creativity
The UP Board Class 12 Mathematics Syllabus 2025-26 is a well-balanced curriculum that prepares students not only for board exams but also for higher academic challenges. By systematically covering theoretical concepts, this syllabus builds a strong foundation for mathematics and beyond.
Whether it's Algebra, Calculus, or Probability, each section is created to build a deeper understanding of mathematical structures. Students are advised to stay consistent with their preparation and make the most of this syllabus structure.