NMTC 2023

How to prepare for NMTC 2023 ?

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NMTC is conducted by AMTI, The Association of Mathematics Teachers of India is a registered body founded on 27th June 1965 and registered as SI43/1965 under the Societies Registration Act XXI of 1860 on 29 October 1965. It is an academically oriented premier organization of professionals and students interested in the field of mathematics and mathematics education.

Students from Schools, Junior Colleges of all boards, Degree Colleges and Technical Institutions in India can participate in this Exam as per the following category.

Primary (Gauss Contest) for V and VI Standards

Sub-Junior (Kaprekar Contest) for VII and VIII Standards  

Junior (Bhaskara Contest) for IX and X Standards 

Inter (Ramanujan Contest) for XI and XII Standards 

Senior (Aryabhata Contest) for   Degree  Classes in Arts, Science & Technical Institutions.

FEES : Rs.150/- per candidate ( Out of this, Rs.125/- per candidate should be sent to AMTI, and the Institution retaining Rs.25/- per candidate for all expenses, including the download and printing the question papers from the mail supply of the answer sheets and the invigilation charges.

SYLLABUS :

PRIMARY: V and VI Standards 

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.

SUB JUNIOR: VII and VIII Standards 

All the topics for primary and, 

ARITHMETIC: Square roots and cube roots, Allegation, average , time and work, time and distance, Races, Games of skill, Travelling around a circle. 

MENSURATION: Three Dimensional: cubes, cuboids, sphere, cone, cylinder, pyramids.

ALGEBRA: Algebraic equations of degree 1 and degree 2. Algebraic identities, factorization of algebraic expressions, laws of indices, basics of surds. 

GEOMETRY: Triangle inequalities, parallelograms, trapezoids, Pythagoras theorem. NUMBER THEORY: Prime and composite numbers, divisibility.

JUNIOR: IX and X Standards 

 All the topics for Primary, Sub junior and the following: 

ALGEBRA: Quadratic and Higher degree Algebraic equations, Remainder theorem, Logarithms, Sequences and series, Scales of notations, Mathematical Induction, Basic inequalities. 

GEOMETRY: Circle theorems, Chords, Arcs, Angles in segments, Cyclic Quadrilaterals, Tangents, Alternate Segment theorem, intersecting chord theorem, Apollonius theorem, and Stewart’s theorem. 

NUMBER THEORY: Modular arithmetic, Greatest Integer function, least integer functions. 

COMBINATORICS: Fundamental principle of counting, Basics of permutations and combinations, Principle of inclusion and exclusion, Pigeon hole principle.

INTER: XI and XII Standards 

All the topics for Primary, Sub Junior, Junior and the following: 

ALGEBRA: Polynomials, inequalities, (C-S inequality), Functional equations. 

GEOMETRY: Trigonometric, 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 hours examination of subjective questions with the syllabus of typical B.Sc. Mathematics course.

MODE OF EXAMINATION  Every candidate except the senior level will take two tests- Preliminary Test and Final Test. Senior (Degree College) level students will take only the final test. The date and time of the examination stipulated by AMTI should be strictly followed and cannot be altered by the centers.

THE PRELIMINARY TEST will be conducted by the participating schools. The top 10% of students based on the Preliminary test performance will be selected by the respective schools. · Preliminary test will be of objective type for Primary, Sub-Junior, Junior and Inter levels and will be of 2 hours duration. 20% of the questions that are of moderate level and 80% of questions with higher level of difficulty, somewhat similar to Olympiad.

FINAL (SECOND LEVEL) TEST Only the candidates selected at the preliminary level can appear for the final. It is 3-hours test of subjective type questions reflecting the syllabi of PRMO, RMO, INMO and IMO. These second level tests will be conducted only at the centres authorized by the AMTI.

TIME SCHEDULE 

 Last Date for entries 31 August 2023 

 Stage-1 Preliminary Test : 7 October 2023 (Saturday) 10 am to 12 pm 

Declaration of results of Stage-1 test 21 October 2023 

Stage-2 Final Test : Tentatively on 4 November 2023 (Saturday) 10 am to 1 pm

Announcement of Results First Week of December 2023

FOLLOW UP PROGRAMME: 

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 the promising toppers. Prizes and the Merit Certificates will be distributed to all the prize winners during our AMTI ANNUAL CONFERENCE in December 2023. Details of our conference will be sent to the prize winners separately.

PREPARATION  :

To prepare for NMTC 2023, You can contact us for guidance and reference books on +91 9785493000. An appointment will be fixed for Counselling and preparation guidance. You can also Join the Online Live Batch of Neharika Jayani Mam, certified NMTC educator.