UP TGT Maths Syllabus 2026 & Exam Pattern: Subject-Wise Topics & PDF Download

Candidates preparing for the UP TGT Maths Exam 2026 must thoroughly review the latest UP TGT Maths Syllabus 2026 to understand the core topics covered in the written examination. The mathematics syllabus spans key areas such as Commercial Mathematics, Statistics, Algebra, Probability, Set Theory, Real Analysis, Trigonometry, Complex Numbers, and more. Read on to discover the exam pattern and essential topics to streamline your preparation.

UP TGT Maths Syllabus and Exam Pattern 2026

To build a well-focused study plan for the UP TGT 2026 written exam, aspirants should analyze both the syllabus and the exam structure. While the syllabus outlines the specific concepts you need to master, the exam pattern offers critical insights into the paper layout, including the total number of questions, time duration, marking scheme, and overall structure.

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UP TGT Maths Exam Pattern 2026

The structured format and guidelines for the UP TGT Maths Exam 2026 are outlined below:

• Mode of exam: Offline mode
• Type of questions: Objective-type questions
• Total questions: 125 questions
• Duration of exam: 02 hours
• Total marks: 500 marks
• Subjects:
  (i) General Knowledge
  (ii) English Language
  (iii) Quantitative Aptitude
  (iv) Maths
• Marking Scheme:
  (i) Marks for Correct answer: +4 marks
  (ii) Negative Marking: No negative marking

UP TGT Maths Syllabus 2026

The UP TGT Mathematics syllabus encompasses fundamental and advanced mathematical principles vital for secondary-level teaching. Aspirants should prioritize conceptual clarity, formula applications, and advanced problem-solving methodologies. Below is a comprehensive breakdown of the syllabus:

• Commercial Mathematics: Work, Time, and Speed, Compound Interest, Banking and Taxation, Elementary Rules and Flowcharts
• Statistics: Frequency Distributions, Graphical Representation of Data, Measures of Central Tendency (Mean, Median, Mode), Measures of Dispersion (Variance and Standard Deviation), Birth and Death Statistics, Indices
• Algebra: Polynomials and Their Factors, Logarithms, Linear Equations in Two Variables, Quadratic Polynomials and Equations, Ratios and Proportions, Number System and Set Operations, Simultaneous Equations (Three Variables)
• Determinants and Matrices: Determinants up to 3×3 Order, Properties of Determinants (Kramer’s Rule), Types of Matrices and Matrix Operations, Symmetric and Skew-Symmetric Matrices, Solution of Simultaneous Equations Using Inverse Matrix
• Set Theory and Probability: Laws of Set Algebra, Relations and Mappings, Equivalence and Composition of Mappings, Addition and Multiplication Principles in Probability
• Real Analysis: Real Numbers and Countability, Limits, Continuity, and Differentiability, Bolzano-Weierstrass Theorem, Cauchy Sequences and Their Convergence, Theorems on Continuity and Differentiability
• Trigonometry: Trigonometric Ratios and Identities, Inverse Trigonometric Functions, Heights and Distances, Trigonometric Equations and Solutions, Properties of Circular and Convex Functions
• Complex Numbers: Sum and Products of Complex Numbers, De Moivre’s Theorem and Its Applications, Exponential and Logarithmic Functions of Complex Numbers
• Geometry: Pythagoras Theorem and Its Applications, Circle, Segments, and Chords, Tangents, Secants, and Angles in Circles, Similarity of Plane Figures
• Coordinate Geometry: Equations of Lines and Planes, Homogeneous Equations of Second Degree, Conic Sections (Circle, Parabola, Ellipse, Hyperbola), Tangents, Normals, and Their Properties, Three-Dimensional Geometry (Sphere, Cone, Cylinder)
• Calculus: Differentiation: Algebraic, Trigonometric, Exponential, and Logarithmic Functions. Integration by Substitution and Partial Fractions, Definite Integration and Its Applications, Differential Equations and Their Solutions
• Vector Analysis: Displacement, Velocity, and Acceleration Vectors, Scalar and Vector Products, Work, Force, and Torque Calculations
• Statics and Kinematics: Equilibrium of Forces (Lami’s Theorem), Laws of Motion and Work-Energy Theorem, Projectile Motion and Power Calculations in MKS System

UP TGT Maths Syllabus PDF 2026

The Uttar Pradesh Madhyamik Shiksha Sewa Chayan Board (UPSESSB), Allahabad, has officially published the UP TGT Maths Syllabus 2026 on its official website, www.upsessb.org. Candidates planning to appear for the UP TGT Mathematics Exam 2026 can conveniently download the complete syllabus PDF using the direct link provided below. 

UP TGT Maths Syllabus 2026 PDF- Click to Download