The National Mathematics Talent Contest, better known as NMTC, has been one of India's most respected mathematics competitions since 1968. It is organized every year by the Association of Mathematics Teachers of India (AMTI) and gives students from Class 5 to Class 12 a genuine platform to test their mathematical ability against some of the best young minds in the country. What makes NMTC different from most other exams is its focus on real problem-solving — the kind that requires thinking from scratch rather than applying a memorized method.

The Stage 2 Final Exam is the most challenging part of the entire contest. Students who reach this stage have already cleared the Preliminary Test, which means they have earned their spot. The Final brings these qualified students together for a 3-hour subjective paper that tests advanced problem-solving, logical reasoning, and the ability to think creatively under pressure. It is the stage where mathematical talent truly shows.

The official NMTC Final Exam question papers are available for download on this page for all levels Primary, Sub-Junior, Junior, and Inter. Going through these papers is one of the most effective things a student can do while preparing for the Final. They give you a clear picture of what AMTI expects, how questions are framed, and what level of depth is needed in your answers. Students who regularly practice with past papers go into the exam with a much stronger sense of direction and confidence than those who do not.

NMTC Final Exam — Quick Overview

About the National Mathematics Talent Contest (NMTC)

The National Mathematics Talent Contest (NMTC), organized annually by the Association of Mathematics Teachers of India (AMTI) since 1968, is the perfect platform for students to showcase their mathematical talent at a national level.

This competition encourages students who:

• Think creatively and logically
• Are eager to tackle unfamiliar or challenging problems
• Possess strong math skills appropriate for their age

Participating in NMTC allows students to build confidence, analytical thinking, and problem-solving abilities, which are valuable for future academic success.

NMTC Final Exam PDFs – Download by Level

Students can download official NMTC Final Exam PDFs for all categories. These papers are released by AMTI for educational and reference purposes.

Note: Using these papers, students can practice advanced-level problems and develop strategies for next year’s contest.

NMTC Final Exam Solutions – Download PDFs

After attempting the final exam, students can refer to the official NMTC Solution PDFs for detailed step-by-step answers and explanations. These solutions are great for analyzing mistakes and improving problem-solving techniques.

How to Use NMTC Stage 2 Papers for Preparation

1. Simulate Exam Conditions: Attempt the papers in 3 hours, just like the real Stage 2 exam.
2. Analyze Each Solution: Focus on the reasoning and steps, not just the final answer.
3. Identify Weak Topics: Focus on areas where mistakes were made.
4. Learn Alternate Approaches: Discuss with teachers or peers to understand multiple solving strategies.
5. Track Your Progress: Attempt at least 3–5 previous papers to build accuracy and speed.

Note: Practicing multiple previous NMTC papers helps students prepare for national-level competitions and improves logical thinking.

NMTC Exam Highlights

These highlights give students an easy-to-understand overview of NMTC, so they know what to expect and can plan their preparation with confidence.

NMTC Exam Structure and Pattern

NMTC follows a two-stage format. Every student except those at the Senior level has to go through both stages first the Preliminary Test, then the Final Test. Senior level students skip Stage 1 entirely and appear directly in the Final.

Stage 1: Preliminary Test

• Mode: Online
• Duration: 2 Hours
• Question Type: Multiple Choice & Fill-in-the-Blanks
• Marking Scheme:
  • MCQs: –0.5 for wrong answers
  • Numerical Questions: –0.25 for wrong answers
• Purpose: Shortlisting top 10% candidates for the final round

Stage 2: Final Test

The Final Test is a 3-hour fully subjective paper. There are no MCQs here every question requires a detailed, step-by-step solution. AMTI experts evaluate all answer sheets centrally, and partial marks are awarded for solutions that show correct reasoning even if the final answer is wrong. This means writing out your working clearly is just as important as getting the right answer.

There is no negative marking in Stage 2, so students can attempt all questions without the fear of losing marks for wrong answers.

NMTC Level-Wise Categories

The NMTC exam is conducted across five distinct levels to ensure fair assessment according to students’ grades.

Each level has a unique set of problems that match the mathematical maturity expected for that age group.

NMTC Final Results

NMTC Final Exam results are announced every year in the first week of December on the official AMTI website at amtionline.com. Once the results are out, students can download their result PDF which contains the following details:Details Available in the Result PDF

• Candidate’s Name and Roll Number
• Marks Obtained
• Rank/Qualification Status
• Certificate and Merit List Details

Note: Save a copy of your result PDF for official purposes or school records. Compare your performance with top performers to learn new problem-solving techniques and strategies.

Conclusion

The NMTC Final Exam is where real mathematical ability gets tested. There are no shortcuts here — just clear thinking, solid fundamentals, and the ability to reason through problems you have never seen before. Previous year question papers are the closest thing to a shortcut that actually works. They show you the pattern, the difficulty level, and the style of questions that AMTI sets year after year.

Download the papers for your level, attempt them seriously under timed conditions, go through the solutions carefully, and keep track of how you improve. That consistent, honest practice is what separates students who do well in the NMTC Final from those who struggle on the day.