**NMTC PREVIOUS YEAR PAPERS WITH SOLUTIONS**

Contents

- 1 What is NMTC?
- 2 What is AMTI?
- 3 Eligibility
- 4 Medium of Paper
- 5 Examination Fee
- 6 Syllabus
- 7 Awards Details
- 8 NMTC Previous Years Papers With Solution
- 8.1 NMTC 2004 (5th & 6th Standard) Question Paper and Solution
- 8.2 NMTC 2004 (7th & 8th Standard) Question Paper and Solution
- 8.3 NMTC 2004 (9th & 10th Standard) Question Paper and Solution
- 8.4 NMTC 2005 (5th & 6th Standard) Question Paper and Solution
- 8.5 NMTC 2005 (7th & 8th Standard) Question Paper and Solution
- 8.6 NMTC 2005 (9th & 10th Standard) Question Paper and Solution
- 8.7 NMTC 2006 (5th & 6th Standard) Question Paper and Solution
- 8.8 NMTC 2006 (7th & 8th Standard) Question Paper and Solution
- 8.9 NMTC 2006 (9th & 10th Standard) Question Paper and Solution
- 8.10 NMTC 2007 (5th & 6th Standard) Question Paper and Solution
- 8.11 NMTC 2007 (7th & 8th Standard) Question Paper and Solution
- 8.12 NMTC 2007 (9th & 10th Standard) Question Paper and Solution
- 8.13 NMTC 2008 (5th & 6th Standard) Question Paper and Solution
- 8.14 NMTC 2008 (7th & 8th Standard) Question Paper and Solution
- 8.15 NMTC 2008 (9th & 10th Standard) Question Paper and Solution
- 8.16 NMTC 2009 (5th & 6th Standard) Question Paper and Solution
- 8.17 NMTC 2009 (7th & 8th Standard) Question Paper and Solution
- 8.18 NMTC 2009 (9th & 10th Standard) Question Paper and Solution
- 8.19 NMTC 2010 (5th & 6th Standard) Question Paper and Solution
- 8.20 NMTC 2010 (7th & 8th Standard) Question Paper and Solution
- 8.21 NMTC 2010 (9th & 10th Standard) Question Paper and Solution
- 8.22 NMTC 2010 (11th & 12th Standard) Question Paper and Solution
- 8.23 NMTC 2011 (5th & 6th Standard) Question Paper and Solution
- 8.24 NMTC 2011 (7th & 8th Standard) Question Paper and Solution
- 8.25 NMTC 2011 (9th & 10th Standard) Question Paper and Solution
- 8.26 NMTC 2012 (5th & 6th Standard) Question Paper and Solution
- 8.27 NMTC 2012 (7th & 8th Standard) Question Paper and Solution
- 8.28 NMTC 2012 (9th & 10th Standard) Question Paper and Solution
- 8.29 NMTC 2014 (5th & 6th Standard) Question Paper and Solution
- 8.30 NMTC 2014 (7th & 8th Standard) Question Paper and Solution
- 8.31 NMTC 2014 (9th & 10th Standard) Question Paper and Solution
- 8.32 NMTC 2014 (11th & 12th Standard) Question Paper and Solution
- 8.33 NMTC 2015 (5th & 6th Standard) Question Paper and Solution
- 8.34 NMTC 2015 (7th & 8th Standard) Question Paper and Solution
- 8.35 NMTC 2015 (9th & 10th Standard) Question Paper and Solution
- 8.36 NMTC 2016 (5th & 6th Standard) Question Paper and Solution
- 8.37 NMTC 2016 (7th & 8th Standard) Question Paper and Solution
- 8.38 NMTC 2016 (9th & 10th Standard) Question Paper and Solution
- 8.39 NMTC 2016 (11th & 12th Standard) Question Paper and Solution
- 8.40 NMTC 2017 (5th & 6th Standard) Question Paper and Solution
- 8.41 NMTC 2017 (7th & 8th Standard) Question Paper and Solution
- 8.42 NMTC 2017 (9th & 10th Standard) Question Paper and Solution
- 8.43 NMTC 2018 (5th & 6th Standard) Question Paper and Solution
- 8.44 NMTC 2018 (7th & 8th Standard) Question Paper and Solution
- 8.45 NMTC 2018 (9th & 10th Standard) Question Paper and Solution

**What is NMTC?**

NMTC is a short form of National Mathematics Talent Competition. This is conducted by AMTI to identify the talent of the students in Mathematics. The students who have an ability for unique creativity thinking a unique and imaginative considering, preparation to assault new and non-routine issues displaying a general numerical capacity proper to their level.

**What is AMTI?**

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

# Eligibility

For Primary Level (Gauss Contest): Those students are eligible who studying in class 5th and 6th.

For Sub Junior Level (Kaprekar Contest): Those students are eligible who studying in class 7th and 8th.

For Junior Level (Bhaskara Contest): Those students are eligible who studying in class 9th and 10th.

For Inter Level (Ramanujan Contest): Those students are eligible who studying in class 11th and 12th.

For Senior Level (Aryabhata Contest): Those students are eligible who studying in Degree classes in Arts, Science, Technical courses.

**Medium of Paper**

The medium of the question paper for Primary, Sub-Junior, 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 the Senior Level, the medium of the question paper will be in English only.

# Examination Fee

Rs. 50/- per candidate (out of which Rs.10/- only will be retained by the institution for all expenses and Rs.40/- per candidate to be sent to AMTI.)

The amount paid once is not refundable on any account.

# Syllabus

The syllabus of NMTC mainly focus on

## 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 System

Divisibility, Diophantine equations, congruence relations, prime numbers and elementary results on prime numbers.

## Combinatorics and Graphs Theory

Counting techniques, pigeon hole principle, principle of inclusion and exclusion, basic graph theory.

# Awards Details

After the final test of NMTC, selected students are awarded with a cash prize to the Top 3 Winner in each level.

1^{st} Winner will get a cash of Rs. 5000 with a merit certificate.

2^{nd} Winner will get a cash of Rs. 2500 with a merit certificate.

3^{rd} Winner will get a cash of Rs. 1250 with a merit certificate.

Other selected at final level also get some cash as award with a merit certificate.

A changes is made in this award from 2010 as below.

Students who get selected at INMO through AMTI will get a sum of Rs. 10000 at each level.

Students who get selected at IMO through AMTI will get a sum of Rs. 20000 at each level.

# NMTC Previous Years Papers With Solution

## NMTC 2004 (5th & 6th Standard) Question Paper and Solution

Click Here NMTC 2004 (5th & 6th Standard) Question Paper With Answer Keys

## NMTC 2004 (7th & 8th Standard) Question Paper and Solution

Click Here NMTC 2004 (7th & 8th Standard) Question Paper With Answer Keys

## NMTC 2004 (9th & 10th Standard) Question Paper and Solution

Click Here NMTC 2004 (9th & 10th Standard) Question Paper With Answer Keys

## NMTC 2005 (5th & 6th Standard) Question Paper and Solution

Click Here NMTC 2005 (5th & 6th Standard) Question Paper With Answer Keys

## NMTC 2005 (7th & 8th Standard) Question Paper and Solution

Click Here NMTC 2005 (7th & 8th Standard) Question Paper With Answer Keys

## NMTC 2005 (9th & 10th Standard) Question Paper and Solution

Click Here NMTC 2005 (9th & 10th Standard) Question Paper With Answer Keys

## NMTC 2006 (5th & 6th Standard) Question Paper and Solution

Click Here NMTC 2006 (5th & 6th Standard) Question Paper With Answer Keys

## NMTC 2006 (7th & 8th Standard) Question Paper and Solution

Click Here NMTC 2006 (7th & 8th Standard) Question Paper With Answer Keys

## NMTC 2006 (9th & 10th Standard) Question Paper and Solution

Click Here NMTC 2006 (9th & 10th Standard) Question Paper With Answer Keys

## NMTC 2007 (5th & 6th Standard) Question Paper and Solution

Click Here NMTC 2007 (5th & 6th Standard) Question Paper With Answer Keys

## NMTC 2007 (7th & 8th Standard) Question Paper and Solution

Click Here NMTC 2007 (7th & 8th Standard) Question Paper With Answer Keys

## NMTC 2007 (9th & 10th Standard) Question Paper and Solution

Click Here NMTC 2007 (9th & 10th Standard) Question Paper With Answer Keys

## NMTC 2008 (5th & 6th Standard) Question Paper and Solution

Click Here NMTC 2008 (5th & 6th Standard) Question Paper With Answer Keys

## NMTC 2008 (7th & 8th Standard) Question Paper and Solution

Click Here NMTC 2008 (7th & 8th Standard) Question Paper With Answer Keys

## NMTC 2008 (9th & 10th Standard) Question Paper and Solution

Click Here NMTC 2008 (9th & 10th Standard) Question Paper With Answer Keys

## NMTC 2009 (5th & 6th Standard) Question Paper and Solution

Click Here NMTC 2009 (5th & 6th Standard) Question Paper With Answer Keys

## NMTC 2009 (7th & 8th Standard) Question Paper and Solution

Click Here NMTC 2009 (7th & 8th Standard) Question Paper With Answer Keys

## NMTC 2009 (9th & 10th Standard) Question Paper and Solution

Click Here NMTC 2009 (9th & 10th Standard) Question Paper With Answer Keys

## NMTC 2010 (5th & 6th Standard) Question Paper and Solution

Click Here NMTC 2010 (5th & 6th Standard) Question Paper With Answer Keys

## NMTC 2010 (7th & 8th Standard) Question Paper and Solution

Click Here NMTC 2010 (7th & 8th Standard) Question Paper With Answer Keys

## NMTC 2010 (9th & 10th Standard) Question Paper and Solution

Click Here NMTC 2010 (9th & 10th Standard) Question Paper and Solution

## NMTC 2010 (11th & 12th Standard) Question Paper and Solution

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## NMTC 2011 (5th & 6th Standard) Question Paper and Solution

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## NMTC 2011 (7th & 8th Standard) Question Paper and Solution

Click Here NMTC 2011 (7th & 8th Standard) Question Paper With Answer Keys

## NMTC 2011 (9th & 10th Standard) Question Paper and Solution

Click Here NMTC 2011 (9th & 10th Standard) Question Paper and Solution

## NMTC 2012 (5th & 6th Standard) Question Paper and Solution

Click Here NMTC 2012 (5th & 6th Standard) Question Paper With Answer Keys

## NMTC 2012 (7th & 8th Standard) Question Paper and Solution

Click Here NMTC 2012 (7th & 8th Standard) Question Paper With Answer Keys

## NMTC 2012 (9th & 10th Standard) Question Paper and Solution

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## NMTC 2014 (5th & 6th Standard) Question Paper and Solution

Click Here NMTC 2014 (5th & 6th Standard) Question Paper With Answer Keys

## NMTC 2014 (7th & 8th Standard) Question Paper and Solution

Click Here NMTC 2014 (7th & 8th Standard) Question Paper With Answer Keys

## NMTC 2014 (9th & 10th Standard) Question Paper and Solution

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## NMTC 2014 (11th & 12th Standard) Question Paper and Solution

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## NMTC 2015 (5th & 6th Standard) Question Paper and Solution

Click Here NMTC 2015 (5th & 6th Standard) Question Paper With Answer Keys

## NMTC 2015 (7th & 8th Standard) Question Paper and Solution

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## NMTC 2015 (9th & 10th Standard) Question Paper and Solution

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## NMTC 2016 (5th & 6th Standard) Question Paper and Solution

**Click Here **NMTC 2016 (5th & 6th Standard) Question Paper and Solution

## NMTC 2016 (7th & 8th Standard) Question Paper and Solution

**Click Here **NMTC 2016 (7th & 8th Standard) Question Paper and Solution

## NMTC 2016 (9th & 10th Standard) Question Paper and Solution

**Click Here **NMTC 2016 (9th & 10th Standard) Question Paper and Solution

## NMTC 2016 (11th & 12th Standard) Question Paper and Solution

**Click Here **NMTC 2016 (11th & 12th Standard) Question Paper and Solution

## NMTC 2017 (5th & 6th Standard) Question Paper and Solution

**Click Here **NMTC 2017 (5th & 6th Standard) Question Paper and Solution

## NMTC 2017 (7th & 8th Standard) Question Paper and Solution

**Click Here **NMTC 2017 (7th & 8th Standard) Question Paper and Solution

## NMTC 2017 (9th & 10th Standard) Question Paper and Solution

**Click Here **NMTC 2017 (9th & 10th Standard) Question Paper and Solution

## NMTC 2018 (5th & 6th Standard) Question Paper and Solution

**Click Here **NMTC 2018 (5th & 6th Standard) Question Paper and Solution

## NMTC 2018 (7th & 8th Standard) Question Paper and Solution

**Click Here **NMTC 2018 (7th & 8th Standard) Question Paper and Solution

## NMTC 2018 (9th & 10th Standard) Question Paper and Solution

**Click Here **NMTC 2018 (9th & 10th Standard) Question Paper and Solution