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The Uttar Pradesh Secondary Education Services Selection Board (UPSESSB) has released the UP TGT Maths Syllabus and Exam Pattern 2025. Candidates aspiring to become Trained Graduate Teachers (TGT) in Mathematics must be well-versed in the detailed syllabus and exam pattern to enhance their preparation. This article provides an in-depth understanding of the subject-wise topics, marking scheme, and other crucial details to help candidates prepare effectively for the exam.
UP TGT Maths Syllabus
The UP TGT Mathematics syllabus is designed to evaluate candidates’ mathematical aptitude, problem-solving abilities, and subject knowledge required for teaching at the secondary level. The syllabus encompasses a range of topics, including Algebra, Geometry, Trigonometry, Calculus, and Statistics. Candidates are expected to have a strong grasp of mathematical concepts, their applications, and logical reasoning. A thorough understanding of the syllabus is crucial for excelling in the exam and securing the position of a Mathematics TGT Teacher.
UP TGT Maths Syllabus: Outline
The UP TGT Mathematics exam is designed to assess candidates’ mathematical proficiency, problem-solving skills, and conceptual clarity. The exam follows a structured pattern, ensuring a comprehensive evaluation of applicants’ subject knowledge.
| Uttar Pradesh Hindi TGT Syllabus | |
| Recruitment Name | UP TGT PGT Teacher Vacancy |
| Origination Name | Uttar Pradesh Secondary Education Service Selection Board |
| Advertisement No. | Advt No. 01/2022 |
| Selection Process | Written Exam, Interview |
| Section | UP TGT Maths Syllabus |
| No. of TGT Vacancy | 3539 |
| Syllabus Sections | Algebra, Geometry, Trigonometry, Calculus, Statistics |
| Exam Date for TGT | 14-15 May 2025 |
UP TGT Maths Exam Pattern
The UP TGT Mathematics exam is designed to assess candidates’ mathematical proficiency, problem-solving skills, and conceptual clarity. The exam follows a structured pattern, ensuring a comprehensive evaluation of applicants’ subject knowledge. The exam consists of 125 multiple-choice questions (MCQs), with each question carrying 4 marks, making the total exam 500 marks. The duration of the exam is 2 hours. Notably, there is no negative marking, allowing candidates to attempt all questions without fear of penalty. The questions cover a wide range of mathematical topics, including Algebra, Geometry, Trigonometry, Calculus, and Statistics.
| UP TGT Maths Exam Pattern | |||||
| Examination Scheme | Total Questions | Marks per Question | Total Marks | Exam Duration | Answer Options per Question |
| 125 MCQs | 4 marks | 500 marks | 2 hours | 4 options (only 1 correct) | |
| Question Type | Multiple Choice Questions (MCQs) | ||||
| Marking Scheme | No negative marking | ||||
| Compulsory Questions | All questions are compulsory | ||||
| Focus Areas | Algebra, Geometry, Trigonometry, Calculus, Statistics | ||||
UP TGT Maths Detailed Syllabus 2025
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:
| UP TGT Maths Detailed Syllabus 2025 | |
| Subject Area | Topics Covered |
| 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 |
Download UP TGT Maths Syllabus 2025 PDF
To streamline your preparation, candidates can download the UP TGT Mathematics Syllabus 2025 PDF, which provides a structured breakdown of topics. This PDF serves as a vital resource to help candidates focus on key areas and track their progress efficiently. If required, candidates can also refer to the complete UP TGT PGT Syllabus for all UP TGT subjects to ensure a holistic approach to exam preparation.
Download UP TGT Maths Syllabus 2025 PDF
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