UP TGT Maths Syllabus 2026 and Exam Pattern, Check Subject Wise Topics and Syllabus PDF

Candidates who are preparing for the UP TGT Exam 2026 for the maths subject must first understand the complete and latest UP TGT Maths Syllabus 2026 to know which topics will be covered in the written exam. The syllabus for the maths subject includes many topics, i.e., commercial mathematics, statistics, algebra, probability, set theory, real analysis, trigonometry, complex numbers, and other topics. Candidates must go through this article to know the exam pattern and the topics to prepare for the exam.

UP TGT Maths Syllabus and Exam Pattern 2026

To prepare in a well-focused manner for the UP TGT 2026 written exam, candidates should understand the UP TGT Syllabus and Exam Pattern 2026 for Maths Exam. The syllabus outlines the topics that candidates have to prepare for the exam, and the exam pattern provides the complete overview of the exam paper, i.e., number of questions, duration to solve, marking scheme, and more.

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UP TGT Maths Exam Pattern 2026

The format for the UP TGT Maths Exam 2026 will be as discussed 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 Maths syllabus includes fundamental and advanced mathematical concepts essential for teaching at the secondary level. Candidates must focus on theoretical understanding, formula applications, and problem-solving techniques. Below is a detailed 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 Download

The Uttar Pradesh Madhyamik Shiksha Sewa Chayan Board (UPSESSB), Allahabad, has officially released the UP TGT Maths Syllabus 2026 at their official website www.upsessb.org. Candidates who are planning to appear for the UP TGT Maths Exam 2026 can use the direct link provided below to download the syllabus PDF. 

UP TGT Maths Syllabus 2026 PDF- Click to Download