UP TGT Mathematics Exam 2026: Syllabus, Exam Pattern & PDF Download

Aspirants preparing for the upcoming recruitment drive can now access the comprehensive details regarding the UP TGT Mathematics Exam 2026. Administered by the Uttar Pradesh Madhyamik Shiksha Sewa Chayan Board (UPSESSB), Allahabad, this test evaluates candidates across diverse foundational and advanced mathematical concepts. If you are aiming to crack UP TGT 2026, understanding the core structure, marking scheme, and precise syllabus topics is crucial for success.

With the UP TGT PGT New Notification 2026 Out Soon for 20340+ Vacancies- Click to Check, candidates should align their study plans with official guidelines. For deeper insights, you can review the UP TGT Syllabus and Exam Pattern 2026.

UP TGT Maths Exam Pattern Overview

The selection process consists of a Written Exam followed by Document Verification. Below is the structured breakdown of the examination pattern:

UP TGT Maths Exam Pattern Overview Checklist

• 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: General Knowledge, English Language, Quantitative Aptitude, Maths
• Marking Scheme: Marks for Correct answer: +4 marks, Negative Marking: No negative marking

UP TGT Mathematics Detailed Syllabus Topics

The curriculum covers extensive areas including commercial mathematics, statistics, algebra, probability, set theory, real analysis, trigonometry, and complex numbers. Review the detailed topic checklist 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 3x3 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

Official Syllabus Document Download

Candidates can access the official notification details directly via the official portal www.upsessb.org. To assist with offline preparation, you can download the official reference file: UP TGT Maths Syllabus 2026 PDF.

Next Steps for Candidates

After reviewing the syllabus and exam pattern, applicants should immediately organize their study schedule. Focus on practicing objective-type questions under timed conditions to master the 2-hour duration constraint. Keep track of updates on the official website for admit card releases, exam center allocations, and document verification guidelines.