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UP TGT Maths Syllabus: Download the Math Syllabus PDF!

489.1k+Students Enrolled
Last Updated on May 14, 2025

The purpose of the UP TGT Mathematics syllabus is to evaluate candidates' understanding of mathematical ideas and instructional strategies. In line with the curriculum recommended by the Uttar Pradesh Secondary Education Service Selection Board (UPSESSB), it covers subjects like algebra, trigonometry, geometry, statistics, and real analysis. The exam lasts two hours and consists of 125 multiple-choice questions, each worth four marks. To succeed on the test, one must have a thorough understanding of these topics in addition to efficient teaching techniques. In this page we have provided the UPSESSB Maths Syllabus in both Hindi and English language. Alongside the syllabus we have also provided the UP TGT Eligibility Criteria, UP TGT Cut Off and so on. Aspirants can also save the PDF for later use.

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Download the UP TGT Maths Syllabus here!

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UP TGT Math Syllabus

The Uttar Pradesh Secondary Education Service Selection Board (UPSESSB) has established the UP TGT Mathematics syllabus, which includes a wide range of subjects intended to evaluate candidates' mastery of mathematical ideas and instructional strategies. Among other important subjects are coordinate geometry, algebra, geometry, trigonometry, statistics, and real analysis. The detailed syllabus for UP TGT Math is mentioned below:

Subject

Syllabus

Mathematics

  • Work, Time and Speed
  • Compound Interest
  • Banking and Taxation
  • Elementary Rules and Flowcharts

Statistics

  • Frequency Distribution
  • 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 Equation 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 Diffrentiability

Trignometry

  • 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 Moiver’s Theorem and its Applications
  • Exponential and Logarithmic Functions of Complex Numbers

Geometry

  • Pythagoras Theorem and its Applications
  • Circles
  • Segments and Chords
  • Tangents 
  • Secants and Angels in Circles
  • Similarity of Plane Figures

Coordinate Geometry

  • Equation 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

Get the UP TGT Eligibility Criteria here!

Check the UP TGT Cut Off here!

Hope you have found this article helpful and informative. You can always reach out to us In case of any queries and doubts. You can attempt mock tests and test series on the Testbook app for multiple competitive and entrance exams. You can also download UP TGT Maths Syllabus for free by downloading or going to the official website of Testbook.

Latest UP TGT Updates

Last updated: May 14, 2025

-> The UP TGT Exam for Advt. No. 01/2022 will be held on 21st & 22nd July 2025.

-> The UP TGT Notification (2022) was released for 3539 vacancies.

-> The UP TGT 2025 Notification is expected to be released soon. Over 38000 vacancies are expected to be announced for the recruitment of Teachers in Uttar Pradesh. 

-> Prepare for the exam using UP TGT Previous Year Papers.

UP TGT Maths Syllabus Frequently Asked Questions

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