The world of mathematics has long been a realm of fascination for intellectuals and problem solvers. It is a subject that has both enchanted and perplexed minds for centuries, serving as a cornerstone of human knowledge and scientific advancements. To celebrate the brilliance of young mathematicians and encourage their passion for numbers, the National Mathematics Talent Contests (NMTC) has been a prestigious annual event for over five decades.
In this blog, we delve into the significance and impact of the 55th National Mathematics Talent Contests, exploring how this esteemed competition continues to nurture the genius minds of our generation.
What is National Mathematics Talent Contest?
The National Mathematics Talent Contest, 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.”
NMTC has announced that the last date for response is August 31st, 2023. The exam will be held in two stages and the winners will receive cash rewards and merit certificates.
Important Dates
Events | Important Dates |
Last Date for entries | 31st August 2023 |
Stage-1 Preliminary Test | 07th October 2023 (Saturday) 10 a.m. to 12 noon. |
Declaration of results of Stage-1 test | 21st October 2023 |
There are five different categories for different classes as given under –
Primary | GaussContest | V and VI Standard |
Sub-Junior | Kaprekar Contest | VII and VIII Standard |
Junior | Bhaskara Contest | IX and X Standard |
Inter | Ramanujan Contest | XI and XII Standard |
Senior | Aryabhatta Contest | Degree Classes in Arts, Science & Technical Institutions |
Note: Students must note that the syllabus for each class and category is different. Students can visit the official website for complete details.
Medium of the Exam
The exam will be only in English Medium (for all levels).
Exam Fees
Rs.150/- per candidate ( Out of this, Rs.125/- per candidate should be sent to AMTI, and the Institution retain Rs.25/- per candidate for all expenses, including the download and printing the question papers from the main supply of the answer sheets and the invigilation charges. No further claim can be made
by the institution for any type of expenses).
The Legacy of NMTC
The National Mathematics Talent Contests (NMTC) was founded with the noble objective of identifying and nurturing young mathematical talent in India. Since its inception, it has served as a platform for gifted students to showcase their problem-solving prowess and mathematical acumen. The contest has become an integral part of the Indian academic landscape, inspiring countless students to explore the depths of mathematics.
Through the years, the NMTC has cultivated a sense of camaraderie among mathematics enthusiasts, fostering a spirit of healthy competition and cooperation. It has played a pivotal role in promoting a culture of learning and appreciating the beauty of mathematics, beyond the realm of textbooks and classrooms.
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 formats.
Stage 2, or the Final test, will mostly consist of subjective questions where students are expected to write the complete answers for each question.
NMTC Syllabus
Students are recommended to refer to the syllabus for NMTC 2023. The NMTC 2023 syllabus is given below.
NMTC Syllabus for Classes V and VI (Primary)
Arithmetic | Fractions, percentages, profit and loss, tests of divisibility, LCM, HCF, ratio and proportion, calendar |
Mensuration | Triangles, quadrilaterals, circles |
Algebra | Algebra as literal arithmetic, addition, subtraction, multiplication and division of simple arithmetic expressions |
Geometry | Straight lines, parallel lines, angle properties of triangles, quadrilaterals and polygons |
NMTC Syllabus for Classes VII and VIII (Sub-junior)
All the topics for primary are also included in the NMTC 2023 syllabus of the sub-junior.
Mensuration | Three-dimensional: cube, cuboid, sphere, cone, cylinder, and pyramid |
Arithmetic | Square roots and cube roots, allegation, average, time and work, time and distance, races, games of skill, and travelling around a circle |
Number theory | Prime and composite numbers, and divisibility |
Geometry | Triangle inequalities, parallelograms, trapezoids, and Pythagoras’ theorem |
Algebra | Algebraic equations of degree 1 and degree 2, algebraic identities, factorization of algebraic expressions, laws of indices, and basics of surds |
NMTC Syllabus for Class IX and X (Junior)
All the topics for primary and sub-junior levels are also included in the NMTC 2023 syllabus for the junior.
Algebra | Quadratic and higher degree algebraic equations, remainder theorem, logarithms, sequences and series, scales of notations, mathematical induction, and basic inequalities |
Number theory | Modular arithmetic, greatest integer function, and least integer functions |
Geometry | Circle theorems, chords, arcs, angles in segments, cyclic quadrilaterals, tangents, alternate segment theorem, intersecting chord theorem, Apollonius theorem, and Stewart’s theorem. |
Combinatorics | The fundamental principle of counting, the basics of permutations and combinations, the principle of inclusion and exclusion, and pigeon hole principle |
NMTC Syllabus for Class XI and XII (Inter)
The NMTC 2023 syllabus of Classes 11 and 12 includes all the topics for primary, sub-junior, junior, and the following.
Algebra | Polynomials, inequalities (C-S inequality), and functional equations |
Number theory | Fermat and Wilson theorem, Diophantine equations |
Geometry | Trigonometric, vector, coordinate geometric, and complex number methods may be used |
Combinatorics | Counting techniques and recurrence relations. |
NMTC Syllabus for Degree Classes in Arts, Science & Technical Colleges (Senior)
The syllabus of BSc Maths is followed for the senior category.
Impact and Benefits Of the Contest
The impact of the NMTC extends far beyond the realm of mere competition. One of the most significant benefits of participating in such contests is the development of problem-solving skills. The intricate and challenging problems posed during the contest push the boundaries of the participants’ mathematical knowledge and encourage them to think creatively to find innovative solutions.
Moreover, the NMTC serves as a springboard for talented young mathematicians to explore new avenues in research and academia. Many past contestants have gone on to become successful mathematicians, engineers, computer scientists, and researchers, attributing their achievements in part to the confidence and motivation they gained from participating in the competition.
Additionally, the NMTC fosters a sense of community among mathematics enthusiasts, creating a network of support that extends well beyond the event itself. This camaraderie encourages students to collaborate, share knowledge, and inspire each other, paving the way for collective growth in the field of mathematics.
Cash Rewards for Students
Cash awards to the top 3 winners in each level at the finals (1st position Rs 5000/-, 2nd Rs 2500/- and 3rd Rs 1250/-), Merit certificates for them and others selected at the final level with Rs 500/- cash award for the latter also will be given based on their revealing a reasonable level of mathematical maturity. Enrichment contact courses are likely to be organized for promising toppers. Prizes and Merit certificates will be distributed to all the prize winners during the AMTI Annual Conference in December 2023.
Recommended Books for NMTC
The following are some books recommended for NMTC preparation.
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 |
How to Apply for the Contest?
Mentioned below are the complete steps to apply for the National Mathematics Talent Contest:
- Download the Data Consolidation Sheet and Excel format of the name list from our website –
- amtionline.com under the head “NMTC”.
- The school should fill up both the Data Consolidation Sheet and the Excel format of the name list.
- Filled Data Consolidation Sheet and Excel format of name list (only Excel format accepted) Send it to AMTI through email support@amtionline.com along with the details of fee transfer.
- Incomplete entries are not acceptable.
- Make sure to fill in the details in English.
Amount transfer appropriately (Online account transfer (NEFT, IMPS, etc.)) (Namely, Rs. 125
number of entries – only for institutions).
Name: “The Association of Mathematics Teachers of India”
Type: Savings
Bank: Axis Bank
Account Type: Saving account
Account Number: 920010074677919
IFSC code : UTIB0000006
Branch : Mylapore, Chennai-600004
Registration will not be complete without payment completed properly. The amount paid once is NOT REFUNDABLE on any account.
Conclusion:
The NMTC stands as a testament to the fact that mathematics is not merely a subject to be studied and forgotten but a language of logic and beauty that enriches the minds of those who immerse themselves in its depths. Through events like the NMTC, we must celebrate the genius minds that will shape the future of mathematics and contribute to the progress of human knowledge and understanding.
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