NMTC Sample Paper 2026 PDF: Stage 1 & Stage 2, Download Now

NMTC Sample Paper 2026: Stage 1 and Stage 2

The NMTC Sample Paper 2026 helps students practise mathematical reasoning, solve unfamiliar problems and identify concepts that need revision. On this page, students can download NMTC Stage 2 sample papers for Gauss, Kaprekar and Bhaskara levels, along with Stage 1 sample papers for Classes 5 to 12. For broader practice, combine these sample papers with NMTC previous year papers to explore questions asked in earlier contests.

NMTC is conducted by the Association of Mathematics Teachers of India (AMTI). The contest encourages students to think independently and apply mathematical ideas to non-routine questions. Preparing for it requires more than memorising formulas. Students must understand why a method works and how to apply it to different problems.

Preparing for NMTC Stage 2? Focus on writing complete, step-by-step solutions. The final stage is subjective, so your practice should include explaining your approach, justifying important steps and checking whether your answer satisfies every condition in the question.

NMTC Stage 2 Sample Paper 2026 PDF

Download the NMTC Stage 2 Sample Paper 2026 PDF for your class from the table below. The available papers cover Gauss for Classes 5 and 6, Kaprekar for Classes 7 and 8, and Bhaskara for Classes 9 and 10.

Before attempting a paper, review the NMTC syllabus for your level. Keep a notebook ready and write your solutions fully. Avoid checking a solution or asking for help until you have made a serious attempt.

Use these sample papers as practice resources. Follow the instructions in each PDF, and refer to AMTI’s current guidelines for the actual examination format.

NMTC Stage 1 Sample Paper 2026 PDF

Students preparing for the preliminary stage can use the NMTC Stage 1 sample papers below. These papers provide additional practice in applying concepts, selecting suitable approaches and solving questions accurately.

If you have already qualified for Stage 2, use Stage 1 questions to revise weak concepts. Give more preparation time to descriptive problems that require a complete written explanation.

How to Use NMTC Stage 2 Sample Papers for Preparation

A Stage 2 sample paper is most useful when you attempt the questions independently and review the quality of your written solutions. Getting the final answer is only one part of practice. You should also be able to explain how you reached it.

1. Choose the correct paper: Select Gauss for Classes 5 and 6, Kaprekar for Classes 7 and 8, or Bhaskara for Classes 9 and 10.
2. Follow the paper’s instructions: Attempt it in a quiet place within the specified time, without referring to notes or online help.
3. Read the complete question: Identify the given information, restrictions and the result you need to find or prove.
4. Plan your approach: Consider whether a diagram, a list of cases, an equation or a useful pattern can help.
5. Write a complete solution: Explain the main idea and show the steps needed to support your conclusion.
6. Review your reasoning: Check calculations, unsupported claims and any cases you may have missed.
7. Reattempt difficult questions: After revising the relevant concept, solve the question again without help.

For Gauss-level practice, explain observations in simple sentences and show calculations clearly. At Kaprekar and Bhaskara levels, pay particular attention to connecting ideas and justifying each important step. Across all levels, clear reasoning is more useful than a long solution with unexplained calculations.

Include NMTC previous year papers in your preparation to practise different question styles. Choose papers that match your class and contest stage. For Stage 2, attempt previous descriptive questions and write complete solutions before reviewing your approach. This will help you identify gaps in both your understanding and your explanations.

Also Read: NMTC Stage 2 Important Topics 2026: Classes 5th to 12th

How to Write Better Answers in NMTC Stage 2

In a descriptive mathematics paper, the reader should be able to follow your argument from the given information to the final conclusion. A short, well-explained solution is easier to follow than a page of disconnected calculations.

Start by defining any variables you introduce. If you use a diagram, label it clearly. When applying a mathematical property, explain how it helps solve the problem. If your approach involves different cases, show that you have covered all relevant possibilities.

For example, finding a pattern in a few numbers can suggest an approach, but it does not automatically prove that the pattern always holds. If a question asks you to prove a statement, your solution must explain why it is true for every case covered by the question.

Before moving on, reread what you have written. Check that your conclusion answers the original question and that you have not assumed something the problem did not give.

Also Read: NMTC Stage 2 Last-Minute Revision Strategy & Important Topics

What Can Students Learn From NMTC Sample Papers?

NMTC sample papers help students identify both conceptual weaknesses and problems in their approach. For Stage 2 preparation, review how clearly you explain a solution as well as whether the answer is correct.

NMTC Sample Papers vs NMTC Previous Year Papers

NMTC sample papers offer additional practice questions, while NMTC previous year papers contain questions asked in earlier contests. Sample papers help you apply concepts to new problems, and previous year question papers provide direct exposure to past contest questions. Use both resources according to your class and the stage you are preparing for.

After each paper, note the questions you could not solve and the steps you could not explain. Revise those areas before attempting another paper. This makes practice more useful than simply completing a large number of tests.

Common Mistakes to Avoid While Solving NMTC Stage 2 Papers

A common mistake in Stage 2 preparation is writing only the final answer. Students also lose clarity when they skip explanations, use an observation as proof or leave important cases unchecked.

• Attempting a paper meant for a different class or stage
• Starting calculations before understanding the question
• Writing answers without explaining the method
• Assuming that a pattern is true without justification
• Ignoring restrictions or overlooking possible cases
• Using unclear variables or unlabelled diagrams
• Spending too much time on one problem
• Reading a solution before making an independent attempt
• Checking only the answer and overlooking gaps in reasoning

Maintain an error notebook with the missed concept, the gap in your approach and the correction. Revisit these questions after a few days and try to write a complete solution independently.

Also Read: NMTC Stage 2 Preparation Strategy 2026, Important Topics

NMTC Sample Paper 2026: Conclusion

The NMTC Sample Paper 2026 PDFs help students practise questions suitable for their contest level. Download the Stage 2 Gauss, Kaprekar or Bhaskara sample paper according to your class, and use the Stage 1 papers for additional concept revision. Include NMTC previous year papers in your study routine to understand how mathematical ideas have been tested in earlier contests.

For NMTC Stage 2 preparation, focus on writing complete solutions, explaining important steps and checking every condition in a question. Alternate between sample papers and previous year question papers, review your mistakes and reattempt difficult problems independently. Regular practice and careful analysis can help you develop clearer reasoning and greater confidence.