Contents

- 1 NMTC 2021-22
- 2 AMTI
- 3 NMTC 2021-22 Eligibility
- 4 NMTC 2021-22 Exam Stage
- 5 NMTC 2021-22 Exam Paper Medium
- 6 NMTC 2021-22 Syllabus
- 7 NMTC 2021-22 Notification
- 7.0.1 NMTC 2021-22 Registration Dates
- 7.0.2 NMTC 2021-22 Registration Procedures
- 7.0.3 NMTC 2021-22 Registration Fee
- 7.0.4 NMTC 2021-22 Exam Dates
- 7.0.5 NMTC 2021-22 Result Date
- 7.0.6 NMTC Preliminary Test Result : On or Before 18 December 2021
- 7.0.7 NMTC Final Test Result : On or Before 31 March 2021
- 7.0.8 Number of Qualifying Students in NMTC
- 7.0.9 NMTC 2021-22 Notification Summary

- 8 NMTC Previous Year Question Papers
- 9 NMTC Awards

# NMTC 2021-22

NMTC is an acronym for * National Mathematics Talent Contest*. NMTC is conducted by AMTI (

*) to identify the talent of the students in Mathematics.*

**Association of Mathematics Teachers of India**NMTC exam is conducted to discover and encourage students who have the capacity for original and creative thinking, readiness to attack unfamiliar and non-routine problems exhibiting a general mathematical ability appropriate to their level.

This year NMTC 2021-22 will be conducted as NMTC 53^{rd} Inter State Competition.

# AMTI

AMTI (* Association of Mathematics Teachers of India*) is an academic body of professionals and students who have a passion in Mathematics research and education. AMTI organization first started in Tamil Nadu and now it is spreading its network in all over the country especially in South India.

AMTI conduct NMTC to identify and encourage students who have the capacity for original and creative thinking, willingness to attempt unfamiliar and non-routine problems, exhibiting a general mathematical ability appropriate to their level.

# NMTC 2021-22 Eligibility

NMTC exams is categorized into five levels according to class/grade studying the students.

The students may be from Schools, Junior Colleges of all boards, Degree Colleges and Technological Institutions in India and also Schools affiliated to the CBSE abroad.

NMTC Exams Level | |||||||
---|---|---|---|---|---|---|---|

Level | Known As | Eligibility | |||||

NMTC Primary | Gauss Contest | Class 5 and 6 | |||||

NMTC Sub-Junior | Kaprekar Contest | Class 7 and 8 | |||||

NMTC Junior | Bhaskara Contest | Class 9 and 10 | |||||

NMTC Inter | Ramanujam Contest | Class 11 and 12 | |||||

NMTC Senior | Aryabhata Contest | Degree Classes |

# NMTC 2021-22 Exam Stage

NMTC is a two stages examination. The stages of NMTC are as below:

**Stage 1** : NMTC Preliminary Test : Every candidates of NMTC Primary, Sub-Junior, Junior, except Senior level must appear in NMTC Preliminary test.

**Stage 2** : NMTC Final Test: Every candidates of NMTC Primary, Sub-Junior, Junior, and Senior level must appear in NMTC Final test. Senior (Degree College) Level students will appear only in NMTC Final Test.

# NMTC 2021-22 Exam Paper Medium

In previous years, the medium of the question paper for NMTC Primary, NMTC Sub-Junior, NMTC Junior level are according to state where the candidates belongs, it means the papers is in the English, Gujarati, Hindi, Kannada, Malayalam, Marathi, Tamil or Telgu. **But for this year NMTC 2021-22, the medium of paper will be ENGLISH only for all level of NMTC**.

And also, for the NMTC Senior Level, the medium of the question paper will be in English only.

# NMTC 2021-22 Syllabus

### NMTC 2021-22 Syllabus for Primary Level (Class 5 & 6)

NMTC 2021-22 syllabus for Primary Level (Class 5 and 6) is as below.

NMTC Syllabus for Primary Level | |||||||
---|---|---|---|---|---|---|---|

Topics | Subtopics | ||||||

Arithmetic | Fractions, Percentage, Profit and Loss, Tests of Divisibility, LCM and 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, Quadrilateral and Polygons. |

The above syllabus of * NMTC 2021-22 Primary Level* is described by the official notification of AMTI.

But, **Amans Maths Blogs (AMBiPi)** observe the question papers from * NMTC 2004 to 2019 for Primary Level*, it is found that the syllabus of

*includes the a lot of sub-topics apart from the above topics of syllabus.*

**NMTC Primary Level**To get these sub-topics of * NMTC for Primary Level*: Click Here.

### NMTC 2021-22 Syllabus for Sub Junior Level (Class 7 & 8)

NMTC 2021-22 syllabus for Sub Junior Level (Class 7 and 8) is all topics of NMTC Primary Level and as below.

NMTC Syllabus for Sub Junior Level | |||||||
---|---|---|---|---|---|---|---|

Topics | Subtopics | ||||||

Arithmetic | Square & Square Roots, Cube & Cube Roots, Allegation & Mixture, Average, Time & Work, Time & Distance, Races, Games of Skills, 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, Triangle Inequalities, Parallelograms, Trapezoids, Pythagoras Theorem. | ||||||

Number Theory | Prime and Composite Numbers, Divisibility |

The above syllabus of * NMTC 2021-22 Sub-Junior Level* is described by the official notification of AMTI.

But, **Amans Maths Blogs (AMBiPi)** observe the question papers from * NMTC 2004 to 2019 for Sub-Junior Level*, it is found that the syllabus of

*includes the a lot of topics apart from the above syllabus. To get these topics of*

**NMTC Sub-Junior Level***: Click Here.*

**NMTC for Sub-Junior Level**### NMTC 2021-22 Syllabus for Junior Level (Class 9 & 10)

NMTC 2021-22 syllabus for Junior Level (Class 9 and 10) is all topics of NMTC Primary Level and Sub-Junior Level and as below.

NMTC Syllabus for Junior Level | |||||||
---|---|---|---|---|---|---|---|

Topics | Subtopics | ||||||

Algebra | Quadratic and Higher Degree Algebraic Equations, Remainder Theorem, Logarithms, Sequence and Series, Scale of Notations, Mathematical Induction, Basic Inequalities. | ||||||

Geometry | Circle Theorems, Chords, Arcs, Angles in Segment, Cyclic Quadrilaterals, Tangents, Alternate Segment Theorem, Intersecting Chord Theorem, Apollonius Theorem, Stewart Theorems. | ||||||

Number Theory | Modular Arithmetic, Greatest Integer Functions, Least Integer Functions | ||||||

Combinatorics | Fundamental Principle of Counting, Basic of Permutation and Combinations, Principle of Inclusion and Exclusion, Pigeon Hole Principle. |

The above syllabus of * NMTC 2021-22 Junior Level* is described by the official notification of AMTI.

But, **Amans Maths Blogs (AMBiPi)** observe the question papers from * NMTC 2004 to 2019 for Junior Level*, it is found that the syllabus of

*includes the a lot of topics apart from the above syllabus. To get these topics of*

**NMTC Junior Level***: Click Here.*

**NMTC for Junior Level**### NMTC 2021-22 Syllabus for Inter Level (Class 11 & 12)

NMTC 2021-22 syllabus for Inter Level (Class 11 and 12) is all topics of NMTC Primary Level, Sub-Junior Level and Junior Level and as below.

NMTC Syllabus for Inter Level | |||||||
---|---|---|---|---|---|---|---|

Topics | Subtopics | ||||||

Algebra | Polynomials, Inequations, CS Inequality, Functional Equations | ||||||

Geometry | Trigonometric, Vector, Coordinate Geometry and Complex Number methods may be used. | ||||||

Number Theory | Fermat and Wilson Theorem, Diophantine Equations | ||||||

Combinatorics | Counting Techniques, Recurrence, Relations |

### NMTC 2021-22 Syllabus for Senior Level (Degree Class)

NMTC 2021-22 syllabus for Senior Level (Degree Classes) is a three hours examination questions with the syllabus of typical B.Sc. Mathematics Course.

# NMTC 2021-22 Notification

AMTI released the NMTC 2021-22 notification of the official website of AMTI. In this notification, all the details regarding the NMTC examination like application date, last syllabus, exam pattern are described, which are as below.

### NMTC 2021-22 Registration Dates

The last date for NMTC 2021-22 registration is **15 November 2021 (Monday)**.

### NMTC 2021-22 Registration Procedures

To register for NMTC 2021-22 exam, you need to download the Institution- Data Consolidation sheet and Excel format from official website of AMTI (amtionline.com) under the head “NMTC”.

The school should fill up both Institution – Data Consolidation Sheet and Excel format. After that scan both of them and send it to AMTI through email [email protected] along with the details of fees transfer. Incomplete entries are not acceptable. Fill all the details (in English only).

For more details about NMTC 2021-22 registration process, Click Here.

### NMTC 2021-22 Registration Fee

The registration fee for **NMTC 2021-22** is **Rs 150.00**.

Out of Rs. 150, each institution will receive from AMTI Rs.25/- per candidate appearing for Stage-1; this is for their incidental expenses and also to conduct the Stage-2 Final test.

### NMTC 2021-22 Exam Dates

The **NMTC 2021-22 Preliminary Test (Stage 1)** exam will be conducted on **04 December 2021 (Saturday) **from 2 PM to 4 PM.

The **NMTC 2021-22 Final Test (Stage 2)** exam will be conducted on **22 January 2022 (Saturday) **from 1 PM to 4 PM.

Stage-2 (Final) test will be 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 centers authorized by the AMTI.

The solutions of problems shall be written by the candidates only in the answer sheets (strictly A4 size) supplied by their school. Answer books of the final test containing the solutions written by participants should be dispatched on the same day of the examination and delayed receipts will not be entertained.

### NMTC 2021-22 Result Date

The result of NMTC 2021-22 will be declared as following.

**NMTC Preliminary Test Result **: On or Before 18 December 2021

**NMTC Final Test Result **: On or Before 31 March 2021

### Number of Qualifying Students in NMTC

In the result of NMTC Preliminary test, the top 10% scorers at each level will be qualified for the second stage NMTC Final test.

### NMTC 2021-22 Notification Summary

The summary of **NMTC 2021-22** is as below.

NMTC 2021-22 Notification Summary | |||||||
---|---|---|---|---|---|---|---|

Notification | Released Now | ||||||

Registration Dates | Last Date : 15 November 2021 | ||||||

Registration Fee | Rs 150 per students | ||||||

Eligibility | Class 5 to 12 and Degree Classes | ||||||

NMTC Preliminary Test Date | 04 December 2021 (2 pm to 4pm) |
||||||

Dispatch of 10% Top Result | 05 December 2021 | ||||||

NMTC Final Test Date | 22 January 2022 (1 pm to 4 pm) |
||||||

Dispatch of Answer Books | Same Day of NMTC Final Test | ||||||

NMTC Final Result Date | 31 March 2022 |

# NMTC Previous Year Question Papers

The question papers of **NMTC **is as below.

Get Sample Paper for NMTC Stage 1 Primary Level

# NMTC Awards

Cash Awards to the top 3 winners in each level at the finals, (1st position Rs.5000/-, 2nd Rs.3000/- and 3rd Rs.2000/-), Merit Certificates for them and others selected at the final level with some cash award for the latter also will be given based on their revealing a reasonable level of mathematical maturity.