EMRS TGT Maths Syllabus 2025: The Eklavya Model Residential School(EMRS) Recruitment 2025 for various posts, In this post the EMRS TGT Maths Syllabus and Updated Exam Pattern will be given.
Overview
| Details | Information |
|---|---|
| Exam Name | EMRS TGT Exam 2025 |
| Post | Trained Graduate Teacher (TGT) |
| Mode of Exam | CBT (online) |
| Papers | Tier-1 and Tier 2 |
| Negative Marking | Yes (0.33 mark) |
| Duration | 2 Hours and 30 minutes for Tier 1 3 hours for Tier 2 Exam |
| Selection Process | Tier I – Preliminary Exam Tier II – Subject Knowledge Exam Personal Interaction/Interview |
| Language | Bilingual |
Exam Pattern for Tier-1 TGT Maths
The Exam Pattern for EMRS 2025 Tier 1 for Maths Subject Exam is given below-
| Subjects | Number of Questions | Marks | Exam Duration |
| General Awareness | 10 | 10 | 150 minutes |
| Reasoning Ability | 15 | 15 | |
| Knowledge of ICT | 15 | 15 | |
| Teaching Aptitude | 30 | 30 | |
| Domain Knowledge | |||
| a) Experiential activity-based pedagogy and case study-based questions. | 20 | 30 | |
| b) NEP-2020 | 10 | ||
| Total | 100 | 100 Marks | |
| Language Competency General English, General Hindi and Regional Language* (10 marks each subject). This part is qualifying in nature only with minimum 40% marks in aggregate i.e.12 out of 30 (English, Hindi and Regional Language put together). Part-I to V of the candidate will not be evaluated, if he/she fails to attain qualifying marks in Part-VI. | 30 | 30 | |
EMRS TGT Maths Tier 2 Exam Pattern 2025
The EMRS Tier 2 Maths Exam Contains the 40 Objective type questions and 15 Descriptive type questions, and this exam will be counted as final merit selection exam.
The Duration will be 3 hours for EMRS TGT Tier 2 Exam 2025.
| Subject | Types of Questions | Total Number of Questions | Marks | Time Duration |
| Marhmatics | Objective Questions | 40 | 40 | 3 hours |
| Descriptive Questions | 15 | 60 | ||
| Total | 55 | 100 | ||
Detailed Syllabus for EMRS TGT Maths 2025
1. Number System & Algebra
a. Real Numbers
- Properties of Real Numbers
- Fundamental Theorem of Arithmetic
- Euclid’s Division Lemma
- HCF and LCM of numbers
- Rational and Irrational numbers
- Representation on the Number Line
b. Polynomials
- Degree of a Polynomial
- Zeroes of a Polynomial
- Factorization of Polynomials
- Remainder and Factor Theorem
- Algebraic Identities
c. Linear Equations in Two Variables
- Graphical Method of Solution
- Substitution Method
- Elimination Method
- Cross-Multiplication Method
d. Pair of Linear Equations in Two Variables
- Solving by Graphical Method
- Solving by Algebraic Methods
- Applications in Word Problems
e. Quadratic Equations
- Standard Form of Quadratic Equation
- Factorization Method
- Completing the Square
- Quadratic Formula
- Nature of Roots (Discriminant)
f. Inequalities
- Linear Inequalities in One Variable
- Linear Inequalities in Two Variables
- Graphical Representation
- Algebraic Solutions and Applications
g. Elementary Number Theory
- Divisibility Rules
- Prime and Composite Numbers
- Coprime Numbers
- Modular Arithmetic Basics
h. Arithmetic Progressions (AP)
- Definition and General Term
- Sum of First n Terms
- Application of AP in Word Problems
Also read: EMRS TGT Syllabus 2025: Download Subject-wise Syllabus & Exam Pattern
2. Geometry & Mensuration
a. Euclidean Geometry
- Basic Definitions: Point, Line, Plane
- Triangles: Types, Properties, Congruence & Similarity
- Quadrilaterals & Polygons
- Circles: Tangents, Chords, Arcs
- Pythagoras Theorem and Its Applications
b. Coordinate Geometry
- Cartesian Plane, Plotting Points
- Distance Formula, Midpoint Formula
- Section Formula (Internal & External Division)
- Area of Triangle Using Coordinates
- Equation of Line: Slope, Intercept Form
c. Areas and Volumes
- Area of Triangle, Quadrilaterals, Circle, and Polygon
- Surface Area and Volume of: Cube, Cuboid, Sphere, Cone, Cylinder, Hemisphere
- Frustum of Cone, Composite Figures
3. Data Handling & Probabilit
a. Statistics
- Mean, Median, Mode
- Range, Variance, Standard Deviation
- Representation of Data: Bar Graph, Histogram, Pie Chart
b. Probability
- Classical Probability
- Simple and Compound Events
- Probability of Complementary Events
- Probability in Daily Life Applications
4. Advanced Mathematics
a. Matrices
- Types of Matrices: Row, Column, Square, Diagonal, Identity
- Addition, Subtraction, and Multiplication
- Determinant of 2×2 and 3×3 Matrices
- Inverse of a Matrix
b. Trigonometry
- Trigonometric Ratios and Identities
- Complementary Angles
- Heights and Distances
- Sine and Cosine Rules
- Graphs of Trigonometric Functions
c. Calculus
- Limits and Continuity (Basic Concept)
- Differentiation of Polynomials and Trigonometric Functions
- Integration: Basic Formulas and Definite Integrals
- Application: Area Under Curves, Rate of Change
d. Combinatorics
- Fundamental Principle of Counting
- Permutations and Combinations
- Factorial Notation
- Applications in Probability
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