NMTC Syllabus 2025: The Association of Mathematics Teachers of India (AMTI) has designed the NMTC Syllabus 2025 for all levels of the National Mathematics Talent Contest (NMTC). Students should carefully study the NMTC chapters as per their respective classes to succeed in the Preliminary and Final Stages of the exam.
The NMTC syllabus 2025 is according to level – Primary (Class 5 & 6), Sub-Junior (Class 7 & 8), Junior (Class 9 & 10), Inter (Class 11 & 12), and Senior (Degree level). The exam primarily tests problem-solving, logical reasoning, number theory, geometry, algebra, and combinatorics. Completing the syllabus early will help students in effective revision before the exam.
How to Prepare for NMTC
NMTC Syllabus 2025 Overview
This NMTC Syllabus 2025 ensures an understanding of mathematics for different levels. The table below provides an overview of the NMTC Exam 2025:
| NMTC Syllabus 2025 Overview |
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Particulars
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Details
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Organization
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Association of Mathematics Teachers of India (AMTI)
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Exam Name
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National Mathematics Talent Contest (NMTC)
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Stage 1 Exam Date
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23rd August 2025 (Saturday), 10 AM – 12 PM
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Stage 2 Final Exam Date
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25th October 2025 (Saturday), 10 AM – 1 PM
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Mode of Exam
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Pen and Paper
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Duration
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Stage 1: 2 Hours, Stage 2: 3 Hours
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Official Website
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https://amtionline.com
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NMTC Syllabus 2025 – Class-Wise Topics
The NMTC Syllabus 2025 class-wise covers important topics in Arithmetic, Algebra, Number Theory, Geometry, and Combinatorics for Primary, Sub-Junior, Junior, Inter, and Senior levels. Students should prepare according to their class-wise NMTC syllabus to excel in Stage 1 and Stage 2 exams.
NMTC Syllabus 2025 for Class 5th And 6th
We have tabulated below the class-wise NMTC Syllabus 2025 for Classes 5 and 6
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NMTC Syllabus for Class 5th & 6th
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Topics
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Sub-Topics
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Arithmetic
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Fractions, Percentage, Profit & loss, Test of Divisibility, LCM & HCF, Ratio & Proportions, Calendar
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Mensuration
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Triangles, Quadrilaterals, and Circles
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Algebra
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Algebra as literal Arithmetic, Addition, Subtraction, Multiplication, Division of simple arithmetic expressions
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Geometry
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Straight lines, Parallel Lines, Angle Properties of Triangles, Quadrilaterals, and Polygons
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NMTC Syllabus 2025 for Class 7th And 8th
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NMTC Syllabus for Class 7th & 8th
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Topics
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Sub-Topics
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Arithmetic
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Square & Square roots, Cube & Cube Roots, Allegation & Mixture, Average, Time & Work, Time & Distance, Races, Games & Skills, Traveling Around a Circle
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Mensuration
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Three Dimensional: Cubes, Cuboids, Sphere, Cone, Cylinder, Pyramids
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Algebra
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Algebraic Equations of Degree1 & Degree 2. Algebraic Identities, Factorisation of Algebraic Expressions, Laws of Indices, Basic of Surds.,
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Number Theory
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Triangle, Triangle Inequalities, Parallelogram, Trapezoids, Pythagoras Theorem
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Geometry
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Prime & Composite Numbers, Divisibility
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NMTC Syllabus for Class 9th & 10th
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NMTC Syllabus for Class 9th & 10th
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Topics
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Sub-Topics
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Algebra
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Quadratic & Higher Degree Algebraic Equations, Remainder Theorem, Logarithms, Sequence & Series, Scale & Notations, Mathematical Induction, Basic Inequalities.
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Number Theory
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Modular Arithmetic, Greatest Integer Functions, Least Integer Functions
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Geometry
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Circle Theorems, Chords, Arcs, Angle in Segment, Cyclic Quadrilaterals, Tangents, Alternate Segment Theorem, Intersecting Chord Theorem, Apollonius Theorem, Stewart Theorems
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Combinatorics
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Fundamental Principle of Counting, Basic of Permutation and Combinations, Principle of Inclusion and Exclusion, Pigeon Hole Principle
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NMTC Syllabus for Class 11th & 12th
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NMTC Syllabus for Inter-level (11th & 12th)
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Topics
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Sub-Topics
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Algebra
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Polynomials, Inequations, CS Inequality, Functional Equations
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Number Theory
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Fermant & Wilson Theorem, Diophantine equations
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Geometry
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Trigonometric, Vector, Coordinate, Geometry, and complex numbers method may be used
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Combinatorics
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Counting Techniques, Recurrence, Relations
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NMTC Exam Pattern 2025
The NMTC exam is conducted in two stages:
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Preliminary Test (Stage 1) – 2 Hours, school-based, mixed objective & subjective questions.
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Final Test (Stage 2) – 3 Hours, advanced mathematical problem-solving test.
NMTC Prelims Exam Pattern 2025
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NMTC Prelims Exam Pattern 2025
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Group
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No of Objective Questions
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No of Subjective Questions
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Total Questions
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Primary Group
(Class 5th & 6th)
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15
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10
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25
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Junior Group
(Class 7th & 8th)
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15-20
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10-15
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30
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Junior Group
(Class 9th & 10th)
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15-20
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10-15
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30
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Senior Group
(Class 11th & 12th)
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15-20
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10-15
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30
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NMTC Answer Key 2025
After the exam, AMTI will release the NMTC Answer Key 2025 for all levels. Students can download it from amtionline.com to cross-check their responses and calculate expected scores before the official results.
