Admission Open New Batches for Classes 9–12, IIT & NEET
National Mathematics Talent Contest (NMTC)

NMTC Solutions & Answer Keys

Comprehensive step-by-step solutions, detailed answer keys, and previous years' question paper walkthroughs curated by Total Educational Solutions faculty for all NMTC categories.

G
Class 5 & 6

Gauss Contest (Primary)

Foundational mathematical aptitude covering number sense, basic geometry, mental arithmetic, and logical puzzles.

Stage 1 & 2 Solutions View Notes →
K
Class 7 & 8

Kaprekar Contest (Sub-Junior)

Focuses on prime factorization, linear equations, plane Euclidean geometry, congruences, and modular arithmetic.

Stage 1 & 2 Solutions View Notes →
B
Class 9 & 10

Bhaskara Contest (Junior)

Higher algebra, quadratic equations, circle theorems, trigonometry, combinatorics, and proof-oriented reasoning.

Stage 1 & 2 Solutions View Notes →
R
Class 11 & 12

Ramanujan Contest (Inter)

Advanced Olympiad mathematics: functional equations, coordinate geometry, calculus fundamentals, inequalities, and discrete math.

Stage 1 & 2 Solutions View Notes →

NMTC Question Papers & Worked Solutions

Download verified solutions prepared with complete explanations by our senior mathematics faculty.

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Primary (Class 5–6) AMTI Preliminary

NMTC Gauss Contest 2024 Stage 1 Paper & Detailed Solutions

Question-by-question walkthrough with shortcut tricks, arithmetic reasoning, and final answer verification.

Sub-Junior (Class 7–8) AMTI Preliminary

NMTC Kaprekar Contest 2024 Stage 1 Paper & Detailed Solutions

Complete solutions with geometric constructions, algebraic simplifications, and number theory breakdowns.

Junior (Class 9–10) AMTI Final Stage

NMTC Bhaskara Contest 2024 Stage 1 & 2 Solutions

In-depth proofs, coordinate geometry derivations, and quadratic inequality methods with full marking scheme.

Inter (Class 11–12) AMTI Preliminary

NMTC Ramanujan Contest 2024 Stage 1 Worked Solutions

Rigorous Olympiad solutions covering inequalities, polynomial algebra, combinatorics, and trigonometry.

All Categories Past 5 Years

NMTC Previous 5 Years Question Papers (2019–2023)

Compiled question repository for preliminary screening tests across Gauss, Kaprekar, Bhaskara, and Ramanujan.

PDF Compilation Access Solution →
Prep Guide AMTI Syllabus

NMTC Syllabus, Exam Pattern & Preparation Strategy

Official marking schemes, eligibility criteria, reference books, and Olympiad preparation roadmaps.

Study Guide Access Guide →

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