NMTC Stage 1 Question Papers and Solutions — Download by Level

The Stage 1 papers and solutions are available below for all three school levels. Download the paper for your level, attempt it under timed conditions, and then go through the solutions carefully. This is the most effective way to use these resources.

Primary Level (Class 5 & 6)

On the Primary level, we have now prepared the NMTC Primary Question Paper with Solutions in a single PDF. This helps young hopefuls to practice and check answers at the same time.

Download Primary Level Question Paper & Solution PDF

Sub-Junior Level (Class 7 & 8)

NMTC Stage 1 Paper and Solutions can be downloaded separately by Sub-Junior level students. Practicing these will assist in increasing accuracy, time management, and confidence in Stage 2.

Download Sub-Junior Level Question Paper & Solution PDF

Junior Level (Class 9 & 10)

The Junior level is significantly more demanding. Topics include quadratic equations, coordinate geometry, circle theorems, number theory, combinatorics, and more. The questions require a deeper level of mathematical maturity and clear logical reasoning.

Download Junior Level Question Paper & Solution PDF

Why Practicing Stage 1 Papers Actually Helps

A lot of students download past papers but do not use them the right way. Here is what actually makes a difference:

• Attempt first, solutions later: Set a 2-hour timer and attempt the full paper without any help. Only open the solutions once you are done. This gives you an honest picture of where you actually stand.
• Study the method, not just the answer: Go through each solution carefully, especially the ones you got wrong. Focus on the reasoning and approach, not just whether your final answer matched.
• Track what you keep getting wrong: After a few papers, patterns will emerge. The topics where you consistently lose marks are your weak areas. Give them focused attention rather than avoiding them.
• Practice speed and accuracy together: Stage 1 has negative marking and a 2-hour limit. Timed practice builds the instinct for when to push through a question and when to move on.

Stage 2 What Comes After Stage 1

Students who finish in the top 10% of Stage 1 qualify for the NMTC Final Test. Stage 2 is a 3-hour fully subjective paper — no MCQs, no fill-in-the-blank. Every question needs a complete, step-by-step solution. Partial marks are awarded for correct reasoning even if the final answer is wrong, so showing your working clearly matters just as much as getting the right answer.

How to Prepare for Stage 2 After Clearing Stage 1

The preparation approach for Stage 2 needs to be different from Stage 1. Here is what actually matters:

• Write full solutions every time: Stage 2 evaluators assess your reasoning, not just your answer. Practice writing every step clearly. Students who explain their thinking well always score better than those who just state a final number.
• Go deeper into key topics: Number theory, combinatorics, and geometry are the areas where Stage 2 goes deepest. Focus on modular arithmetic, the pigeonhole principle, circle theorems, geometric inequalities, and polynomial identities.
• Build on Stage 1 solutions: The concepts in Stage 1 are the same ones that appear at greater depth in Stage 2. Going through Stage 1 solutions carefully especially the questions you got wrong — is a solid foundation for Stage 2 preparation.
• Do full 3-hour practice sessions: Stamina is a real factor in a 3-hour subjective exam. Students who have never practiced for the full duration often lose focus well before time is up. Make it a regular habit.

Conclusion

NMTC Stage 1 question papers are one of the best preparation resources available — but only if you use them properly. Attempt them seriously, study the solutions honestly, and let the patterns you find guide your preparation. The goal is not to finish the papers — it is to understand them deeply enough that the actual exam holds no surprises. Download the paper for your level, start practicing, and build from there. Every paper you work through properly is a genuine step forward.