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

Aspirants preparing for the UP TGT Mathematics Exam 2026 must thoroughly review the latest UP TGT Maths Syllabus 2026 to understand the core topics covered in the written test. The mathematics curriculum encompasses diverse areas such as commercial mathematics, statistics, algebra, probability, set theory, real analysis, trigonometry, and complex numbers. Read on to discover the exam pattern and essential topics to optimize your preparation strategy.

UP TGT Maths Syllabus and Exam Pattern 2026

To structure a targeted study plan for the UP TGT 2026 written examination, candidates should carefully analyze the UP TGT Syllabus and Exam Pattern 2026 for Mathematics. While the syllabus defines the specific concepts you need to master, the exam pattern provides a comprehensive blueprint of the test, including the total number of questions, time duration, and marking scheme.

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UP TGT Maths Exam Pattern 2026

The structure and format for the UP TGT Mathematics 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 covers fundamental as well as advanced mathematical concepts that are critical for secondary-level teaching. Candidates should focus on strengthening their theoretical foundations, mastering formula applications, and practicing advanced problem-solving techniques. A detailed breakdown of the curriculum is provided below:

• 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 published the UP TGT Maths Syllabus 2026 on their official portal at www.upsessb.org. Candidates intending to appear for the UP TGT Maths Exam 2026 can conveniently access and download the comprehensive syllabus PDF using the direct link provided below. 

UP TGT Maths Syllabus 2026 PDF- Click to Download