NMTC 2020 - 2021

The National Mathematics Talent Contest or commonly known as NMTC is a popular test in the field of Mathematics. This contest is conducted by the Association of Mathematics Teachers of India (AMTI) and is held at a national level. NMTC is carried out with one sole aim –  “to find and encourage students who have the ability for original and creative thinking, preparedness to tackle unknown and non-routine problems having a general mathematical ability suitable to their level.” 

Who can participate in this contest? Students from schools, junior colleges of all boards, degree colleges and technological institutions in India can take part in it. Further details are given below.

NMTC 2021-22 Important Dates


Last date to fill the Online Application Form with Fees


31st December 2021  


Stage 1 Preliminary Exam Date


22nd January 2022


Stage 1 Results Announcement


05th February 2022


Stage 2 Final Test Exam Date


12 March 2022


Stage 2 Results Announcement


By the end of 30th Apr 2022

NMTC Exam Details

The examination is conducted in two stages.

Stage 1 (Preliminary Test)

The preliminary test is organized in online mode and it will be conducted by AMTI directly. For NMTC stage 1, the user ID and password will be generated by the exam authority and communicated to the student. The results will most likely be announced within a week after the completion of the test. Once the results are declared the list of top 10 % students in each school will be sent to the schools. These 10 % students will get their certificates and will be eligible to appear for the next and final stage of the contest. The certificates can be downloaded from AMTI website. 

Stage 2 (Final Test)

Stage 2 (final) test will be organized similar to the earlier pattern which will be in offline mode.

Meanwhile, the certificates of the top 10 % students will form the hall tickets for the NMTC final (Stage-2) test. This test will be a paper and pen-based and students will be able to take the Stage-2 test in their own institutions or schools. The solutions of all the problems have to be written by the candidates only in the answer sheets (strictly A4 size) supplied by their school.

NMTC Registration

There are some changes in the procedure for registration of participants for this year. The NMTC registration is now individualized and will be done directly from the official website. Due to the uncertainty created by the pandemic as well as the schools being in a closed state AMTI has decided to move the online way. All application and registration for NMTC will be carried out online via (amtionline.com) website. 

Students who are interested in taking the tests can apply individually by visiting the site. Once they complete their registrations the system will generate the school  ID and it will be sent to the corresponding school for their reference. The candidate will also need to provide a clear photo snap along with their name, school id and active mobile and email contact details.

The payment of application fee will also be online. Once the payment is made, the system will send a 13 digit registration number to the students active personal mobile and email id.

Registration Fee is Rs. 150/- per candidate to be directly paid to the AMTI by the student.

NMTC Levels and Eligibility Criteria

NMTC has a total of five levels that are mainly defined in accordance with the academic level of the students. The details 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 in degree courses in Arts, Science and Technical Institutions

NMTC Syllabus

The syllabus for NMTC is similar to the usually pre-degree college mathematics, covering topics such as; 

a) Algebra, b) Geometry, c) Number theory and d) Graph theory & Combinatorics

Algebra: Polynomials, Solving equations, inequalities and complex numbers.
Geometry: Geometry of triangles and circles. (Trigonometric methods, vector methods, complex number methods, transformation geometry methods can also be used to solve problems)
Number Theory: Divisibility, Diophantine equations, congruence relations, prime numbers, and elementary results on prime numbers.
Combinatorics & Graph Theory: Counting techniques, pigeon-hole principle, the principle of inclusion and exclusion, basic graph theory.
Problems pertaining to these concepts will be of the non-routine type with difficulty level increasing from RMO to INMO to IMO.

NMTC Exam Pattern

Stage 1 or the preliminary test of NMTC will mainly consist of objective type questions and will be a mixture of multiple choices and fill in the blanks format.

Stage 2 or the final test will mostly consist of subjective questions where students are expected to write the complete answers for each question.

Problems pertaining to the concepts given in the syllabus will basically be of a non-routine type and their difficulty level will increase from RMO to INMO to IMO standard.

However, the standard of the questions will be class appropriate but they will require original thinking. Questions in Primary and Sub-Junior will test the students’ clear understanding of the concepts learnt in their classes. Junior and Inter will be more difficult because it is expected that students of these classes are ready to face PRMO and RMO. So they should have a fundamental knowledge of all the topics.

NMTC Medium of Exam

Unlike previous years, (just for this year only), the medium will be only ENGLISH (for all levels). In previous years, NMTC was conducted in eight different language mediums. The paper was set in English, Gujarati, Hindi, Kannada, Malayalam, Marathi, Tamil or Telugu.

NMTC Awards

Cash awards and merit certificates are offered to the top 3 winners in each level in the finals. 1st position will receive Rs.5000/-, 2nd will get Rs.3000/- and 3rd is awarded Rs. 2000/-. Additionally, merit certificates with a token cash award are also given to others selected at the final level. This will be based on their revealing a fair level of mathematical maturity. Enrichment contact courses are also likely to be organized for the promising toppers.

NMTC Mock Test

Students can also take the NMTC mock test before the final exams. This test will be of 90 minutes duration. A window of 4 hours is provided within which the students have to log in. The timer will start as soon as the student logs in. At the end of 90 minutes, the test will automatically close, and students have to submit their answers before that.

Mock test date: 15/03/2021 Test duration: 90 minutes  Window time: (3 pm to 7 pm)

Points to Remember

  • Students are advised to read all the details of 2020-21 NMTC Online Stage-1 thoroughly.
  • Students should fill their e-Application form with relevant details and carefully. 
  • You can make the necessary payment online to complete your registration for NMTC.
  • An acknowledgement message will be sent to your mobile and email id.
  • Your user name and password will also be sent for taking the test.
  • Keep checking the official and our website for updates on NMTC 2021-22.

Other National And International Level Olympiads And Exams

NTSE National Talent Search Examination
NSTSE National Science Talent Search Examination
KVPY Kishore Vaigyanik Protsahan Yojana
PRMO Pre-Regional Mathematical Olympiad
RMO Regional Math Olympiad
IOQ Indian Olympiad Qualifier