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National Mathematics Talent Contest (NMTC)

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 2024 Answer Key - Download Free PDF

Particular

Primary Group

(Class 5th & 6th)

Sub-Junior Group

(Class 7th & 8th)

Junior Group

(Class 9th & 10th)

Answer Key

Paper with Solutions

2.0NMTC 2024 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.

Key Dates of the NMTC 2024 Exam

Staying updated with the latest National Mathematics Talent Contest (NMTC) 2024 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 2024-25:

Name of Event

Date of Event

Last Date for Entries

15th July 2024

Stage 1 Preliminary Exam Date

31st August 2024 (Saturday) 

10 a.m. to 12 noon

Stage 1 Results Announcement

10th September 2024

Stage 2 Final Test Exam Date

19th October 2024 (Saturday) 

10 a.m. to 1 p.m.

Dispatch of Answer Books from the Centres to AMTI 

The same day (Speed Post or courier)

NMTC Stage 2 Results Announcement

First Week of December 2024

3.0Highlights of the NMTC 2024 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)

4.0Syllabus for NMTC 2024 Exam

Knowing the syllabus is important in planning the preparation strategies for the NMTC 2024 exam. It helps to study better and learn what to expect in the exam. So you must know about the latest syllabus for NMTC 2024 Exam.

Recommended topics as per the updated NMTC Exam syllabus:

NMTC 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 2024 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 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.

5.0Eligibility Criteria for National Mathematics Talent Contest (NMTC) 2024

Students from schools, junior colleges of all boards, degree colleges, and technical institutions in India can apply for the NMTC 2024 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

6.0Application Process for NMTC 2024

Candidates can check a step-by-step procedure for the NMTC 2024 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.

7.0NMTC 2024 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.

8.0Top Recommended Books for NMTC 2024 Preparation

Here are some suggested books for preparing for the NMTC 2024 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

9.0How Are the Results for NMTC 2024 Declared?

The NMTC 2024 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.

NMTC FAQs

Register by downloading the Data Consolidation Sheet and Excel name list from amtionline.com, filling them out, and emailing them to support@amtionline.com with your fee payment details.

The exam has two stages: a 2-hour Preliminary Test with objective questions for most candidates and a 3-hour Final Test with subjective questions for top performers and direct entrants (senior students).

Students from V to XII standard, as well as college students, are eligible, divided into five categories: Primary (V-VI), Sub-junior (VII-VIII), Junior (IX-X), Inter (XI-XII), and Senior (college level).

Recommended books include "Problem Solving Strategies" by Arthur Engel, "Mathematical Circles" by Dmitri et al., and "Challenge and Thrill of Pre-College Mathematics" by V. Krishnamurthy, among others.

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