NMTC 2025 STAGE 2 (Final) Test
Paper Solutions
Eligibility & Progression
It is open to Students who qualify for the Final Test by being among the top 10% performers in the Preliminary (Stage 1) test in their respective categories (Primary, Sub-Junior, Junior, Inter).
Participants will appear for the Final Test in their respective category from the AMTI- designated authorized exam centres.
Top performers in Stage 2 receive National Awards, Cash Prizes, Certificates, and invitations to Enrichment Programs.
ABOUT - NMTC Stage 2
The National Mathematics Talent Contest (NMTC) Stage 2, organized by the Association of Mathematics Teachers of India (AMTI), is the final and most challenging stage of one of India’s premier mathematics competitions. This round is entirely subjective and designed to identify and recognize mathematical talent, with an emphasis on advanced problem-solving and proof-based reasoning.
AIM OF THE TEST - NMTC Stage 2
The aim of NMTC Stage 2 is to develop high-level mathematical thinking and problem-solving skills through non-routine, Olympiad-level questions that require detailed proofs and logical arguments. The exam encourages participants to go beyond computation, focusing on clear reasoning and step- by-step solutions. It prepares students for advanced Olympiads, bridging the gap between regular school mathematics and international competition standards.
ADVANTAGES FOR STUDENTS
National Visibility:: Students gain exposure by competing at the all-India level and winners receive prizes and the merit certificates during AMTI ANNUAL CONFERENCE in December.
Challenging Mathematics:: NMTC final stage features advanced, non-routine, and proof-based questions that develop deep mathematical thinking well beyond school curriculum.
Preparation for Olympiads:: The contest serves as comprehensive preparation for higher Olympiads like RMO and INMO, sharpening skills needed for further competitive selections.
Problem-Solving Skills:: Regular participation enhances creative reasoning, logical analysis, and confidence to tackle unfamiliar mathematical challenges.
Opportunities:: High scorers receive invitations to exclusive mathematical training and exposure camps sponsored by AMTI.
NMTC 2025 Stage 2 (Final Test)
Official AMTI Structure
Format:: NMTC Stage 2 is a fully descriptive, subjectively evaluated, problem-solving test (no MCQs) for all the categories (Primary, Sub-Junior, Junior, Inter), reflecting the syllabi of IOQM, RMO, INMO & IMO.
Duration:: The duration is 3 hours for all categories in the Stage 2 (Final) test.
Medium:: The exam is conducted only in English.
Fee:: There is no separate fee for NMTC Level 2; the ₹150 registration fee covers participation in both Stage 1 and Stage 2 as per AMTI rules.
Schedule - 57th NMTC-2025
Important dates for National Mathematics Talent Contest 2025
Stage 1 Exam Date
Declaration of Stage-1 Results
Stage 2 Exam
Announcement of Final Results
The decision of AMTI is final in all matters.
NMTC Stage 2 - 2025
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Important Mathematical Olympiads
Explore prestigious mathematics competitions from around the world
IMO
InternationalInternational Mathematical Olympiad
Eligibility: Students selected via the Indian Mathematical Olympiad process (IOQM, RMO, INMO, IMOTC); must be under 20 years of age on July 1 of the year of the IMO, not entered university, and eligible for Indian citizenship
Organizer: IMO Committee (India’s participation coordinated by HBCSE on behalf of NBHM).
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AMC Series
InternationalAmerican Mathematics Competitions
Eligibility: AMC 8: Grade 8 or below, age under 15.5 years; AMC 10: Grade 10 or below, age under 17.5 years; AMC 12: Grade 12 or below, age under 19.5 years.
Organizer: Mathematical Association of America (MAA)
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APMO
InternationalAsian Pacific Mathematics Olympiad
Eligibility: Students selected from the Indian National Mathematical Olympiad process (via IOQM, RMO, INMO; under 20 years of age, not entered university).
Organizer: APMO Committee (India's participation coordinated by HBCSE)
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EGMO
InternationalEuropean Girls' Mathematical Olympiad
Eligibility: Female students selected from INMO as per HBCSE norms, via multiple Indian stages and EGMO Training Camp; usually under 20, pre-university.
Organizer: EGMO Committee (India's participation organized by HBCSE)
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