National Mathematics Talent Contest (NMTC)
Have you ever wanted to explore the world of numbers and tackle tricky problems with cleverness and creativity? If so, the National Mathematics Talent Contest (NMTC) could be the perfect opportunity for you to dive into Math and showcase your abilities across the country.
Organized annually by the Association of Mathematics Teachers of India (AMTI), the NMTC has spotlighted young Math enthusiasts since 1968. This esteemed competition seeks students who can think creatively, are eager to tackle unfamiliar problems, and possess strong mathematical skills for their age. This article provides all the vital information for the upcoming NMTC exam, including eligibility criteria, syllabus details, related books and the registration process.
1.0Latest: NMTC 2025 Answer Key – Download Free PDF
2.0NMTC 2025 Exam – Overview
Organizing NMTC is to inspire students who can think creatively and innovatively, are prepared to confront challenges, and can demonstrate math skills appropriate for their level.
3.0Key Dates of the NMTC 2025 Exam
Staying updated with the latest National Mathematics Talent Contest (NMTC) 2025 schedule and related events is essential. Exam dates for the 56th NMTC will be announced soon. Below, we have provided the NMTC exam dates for 2025-26:
4.0Highlights of the NMTC 2025 Exam
Exam Name | International Olympiad of Science (iOS) |
Mode of Exam | Online |
Medium of Exam | English |
Level of Exam | Every candidate except the senior level: Preliminary Test and Final Test. Senior level: Final Test |
Duration of Exam | Preliminary Test: 2 Hours Final Test: 3 Hours |
Type of Questions | Preliminary Test: MCQs Last Test: Subjective Type Question |
Conducting Body | Association of Mathematics Teachers of India (AMTI) |
5.0Syllabus for NMTC 2025 Exam
Knowing the syllabus is important in planning the preparation strategies for the NMTC 2025 exam. It helps to study better and learn what to expect in the exam. So you must know about the latest syllabus for NMTC 2025 Exam.
Recommended topics as per the updated NMTC Exam syllabus:
NMTC 2025 Syllabus for Classes V and VI | |
PRIMARY: Gauss Contest | |
Arithmetic | Fractions, percentages, profit and loss, tests of divisibility, LCM, HCF, Ratio and proportion, Calendar |
MENSURATION: | Triangles, Quadrilaterals, Circles |
ALGEBRA: | Algebra is literal arithmetic, adding, subtracting, multiplying, and dividing simple arithmetic expressions. |
GEOMETRY: | A straight line, a parallel line, and the angle properties of triangles, quadrilaterals, and polygons. |
NMTC 2025 Syllabus for Classes VII and VIII | |
SUB JUNIOR: Kaprekar Contest | |
Arithmetic | Square roots and cube roots, Allegation, average, time and work, time and distance, Races, Games of skill, Traveling around a circle. |
MENSURATION: | Three-dimensional: cubes, cuboids, spheres, cones, cylinders, pyramids. |
ALGEBRA: | Algebraic equations of degree 1 and 2. Algebraic identities, laws of indices, basics of surds, factorization of algebraic expressions. |
GEOMETRY: | Triangle inequalities, parallelograms, trapezoids, Pythagoras theorem. |
NUMBER THEORY: | Prime and composite numbers, divisibility. |
NMTC 2025 Exam Syllabus for Classes IX and X | |
JUNIOR: Bhaskara Contest | |
ALGEBRA: | Quadratic and Higher degree Algebraic equations, Logarithms, Remainder theorem, Sequences and series, Scales of notations, Mathematical Induction, and Basic inequalities. |
GEOMETRY: | Circle theorems, Chords, Arcs, Angles in segments, Cyclic Quadrilaterals, Tangents, intersecting chord theorem, Apollonius theorem, Alternate Segment theorem, and Stewart’s theorem. |
NUMBER THEORY: | Modular arithmetic, Greatest Integer function, most minor integer functions. |
COMBINATORICS: | Fundamental Principle of counting, Basics of permutations and combinations, Pigeon hole principle, Principle of inclusion and exclusion. |
NMTC Syllabus for Classes IX and X | |
INTER: Ramanujan Contest | |
ALGEBRA: | Polynomials, inequalities, (C-S inequality), Functional equations |
GEOMETRY: | Trigonometry, vector, Coordinate Geometric and Complex number methods may be used. |
NUMBER THEORY: | Fermat and Wilson theorem, Diophantine equations. |
COMBINATORICS: | Counting techniques, Recurrence relations. |
SENIOR: (ARYABHATTA CONTEST FOR COLLEGE LEVEL)
It is a three-hour examination of subjective questions with the syllabus of a typical B.Sc. Mathematics course.
6.0Eligibility Criteria for National Mathematics Talent Contest (NMTC) 2025
Students from schools, junior colleges of all boards, degree colleges, and technical institutions in India can apply for the NMTC 2025 exam. The detailed eligibility criteria are as follows:
Primary | Gauss Contest | V and VI Standard Students |
Sub-junior | Kaprekar Contest | VII and VIII Standard Students |
Junior | Bhaskara Contest | IX and X Standard Students |
Inter | Ramanujan Contest | XI and XII Standard Students |
Senior | Aryabhata Contest | Students studying degree courses in arts, science, and technical Institutions |
7.0Application Process for NMTC 2025
Candidates can check a step-by-step procedure for the NMTC 2025 exam registration here.
- Visit amtionline.com and download the Data Consolidation Sheet and Excel name list from the “NMTC” section.
- Complete both the Data Consolidation Sheet and the Excel name list.
- Email the filled Data Consolidation Sheet and Excel name list (only Excel format is accepted) to AMTI at support@amtionline.com. Include your fee payment details.
- Make sure all entries are complete.
- Pay the fee online (NEFT, IMPS, etc.). The charge is Rs. 125 per entry, applicable only to institutions.
Note: Each candidate is charged Rs. 150, with Rs. 125 going to AMTI and the institution keeping Rs. 25 to cover expenses like downloading and printing question papers, answer sheets, and invigilation. No additional costs will be reimbursed.
8.0NMTC 2025 Exam Pattern
Exam pattern helps candidates to understand question types, manage time during the exam, focus on essential topics, and reduce anxiety by knowing what to expect.
The NMTC exam consists of two main stages for most participants, with an exception for senior-level students:
- Preliminary Test: All candidates, except seniors, start here. It’s held at participating schools, lasts 2 hours, and includes objective questions (multiple choice and fill-in-the-blanks). The test assesses problem-solving skills using moderate (20%) and challenging (80%) questions. The top 10% of performers advance to the final test.
Note: Students selected for the preliminary level test will get certificates, which may be treated as the Hall Ticket for the final examination.
- Final Test: Only for those who pass the preliminary round, this 3-hour subjective test covers more advanced topics. It’s conducted in the respective institutions, focusing on deeper mathematical understanding.
Key Points:
- Senior students directly enter the final test.
- Exams follow strict schedules set by AMTI.
- Schools evaluate preliminary responses, and the final tests are by AMTI.
- The top 10% in the preliminary round move to the last, with their performance certificates as their entry ticket.
9.0Top Recommended Books for NMTC 2025 Preparation
Here are some suggested books for preparing for the NMTC 2025 Exam:
Book Name | Author |
Problem-Solving Strategies | Arthur Engel |
Combinatorics for Mathematical Olympiads | Dr. S. Muralidaran |
Mathematical Circles (Russian Experience) | Dmitri et al. |
Olympiad Maths | M.K. Singhal and A.R. Singhal |
Elements of Geometry (Part I – VI) | S. Barnard, and J.M. Child |
Elementary Algebra | H.S. Hall and S.R. Knight |
Challenge and Thrill of Pre-College Mathematics | V. Krishnamurthy |
Adventures in Problem Solving | Shirali Shailesh |
10.0How Are the Results for NMTC 2025 Declared?
The NMTC 2025 results will be announced by the Association of Mathematics Teachers of India (AMTI) after completing both the Preliminary and Final tests. The results will showcase participants’ performance, highlighting those who have excelled at national levels in mathematical talent. Candidates can check their results on the official AMTI website.
