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GATE Mathematics Free Mock Test
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GATE Mathematics Syllabus 2027, Exam Pattern
GATE Mathematics Syllabus 2027, Exam Pattern, Exam Date 2027
Detail Information about GATE has published notification 2027 for the recruitment of Mathematics (MA) vacancies. Those Candidates who are Interested to the following vacancy and completed all Eligibility Criteria can read the Notification & Apply Online. In this page we provide the Complete Syllabus of this Recruitment with Latest Update Exam Pattern and the Exam Date also.
GATE 2027 Exam Highlights
| Examination Name | Graduate Aptitude Test in Engineering (GATE) |
| Commonly Known As | GATE |
| GATE 2027 organising Institute | IIT Guwahati |
| Administered By | Jointly by IISc Bangalore and Seven IITs |
| Purpose of Examination | Qualifying Examination for M.E./ M.Tech/ Ph.D admissions and PSU Recruitment |
| Application Mode | Online |
| Mode of Examination | Computer-Based Mode |
| Examination Duration | 180 Minutes (3 Hours) |
| Frequency of Examination | Annual |
| Number of GATE Papers | 29 |
| Validity of GATE Score/Grade | 3 Years |
| Official website | gate2027.iitg.ac.in |
GATE Mathematics Syllabus 2027
General Aptitude :
Verbal Aptitude
1. Basic English grammar
2. Tenses
3. Articles
4. Adjectives
5. Prepositions
6. Conjunctions
7. Verb-noun agreement and other parts of speech
8. Basic vocabulary
9. Words
10. Idioms
11. Phrases in context
12. Reading and comprehension
13. Narrative sequencing
Quantitative Aptitude
1. Data interpretation
2. Data graphs (bar graphs, pie charts, and other graphs representing data)
3. 2- and 3-dimensional plots
4. Maps
5. Tables
6. Numerical computation and estimation
7. Ratios
8. Percentages
9. Powers
10. Exponents and logarithms
11. Permutations and combinations
12. Series
13. Mensuration and geometry
14. Elementary statistics
15. Probability
Analytical Aptitude
1. Logic: deduction and induction
2. Analogy
3. Numerical relations and reasoning
Spatial Aptitude
1. Transformation of shapes
3. Translation
4. Rotation
5. Scaling
6. Mirroring
7. Assembling
8. Grouping
9. Paper folding
10. Cutting
11. Patterns in 2 and 3 dimensions
1. Basic English grammar
2. Tenses
3. Articles
4. Adjectives
5. Prepositions
6. Conjunctions
7. Verb-noun agreement and other parts of speech
8. Basic vocabulary
9. Words
10. Idioms
11. Phrases in context
12. Reading and comprehension
13. Narrative sequencing
Quantitative Aptitude
1. Data interpretation
2. Data graphs (bar graphs, pie charts, and other graphs representing data)
3. 2- and 3-dimensional plots
4. Maps
5. Tables
6. Numerical computation and estimation
7. Ratios
8. Percentages
9. Powers
10. Exponents and logarithms
11. Permutations and combinations
12. Series
13. Mensuration and geometry
14. Elementary statistics
15. Probability
Analytical Aptitude
1. Logic: deduction and induction
2. Analogy
3. Numerical relations and reasoning
Spatial Aptitude
1. Transformation of shapes
3. Translation
4. Rotation
5. Scaling
6. Mirroring
7. Assembling
8. Grouping
9. Paper folding
10. Cutting
11. Patterns in 2 and 3 dimensions
Mathematics Syllabus :
Finite dimensional vector spaces; Linear transformations and their matrix representations, rank; systems of linear equations, eigenvalues and eigenvectors, minimal polynomial, Cayley-Hamilton Theorem, diagonalization, Jordan-canonical form, Hermitian, Skew-Hermitian and unitary matrices; Finite dimensional inner product spaces, Gram-Schmidt orthonormalization process, self-adjoint operators, definite forms.
Chapter 2 : Complex Analysis
Analytic functions, conformal mappings, bilinear transformations; complex integration: Cauchy’s integral theorem and formula; Liouville’s theorem, maximum modulus principle; Zeros and singularities; Taylor and Laurent’s series; residue theorem and applications for evaluating real integrals.
Chapter 3 : Real Analysis
Sequences and series of functions, uniform convergence, power series, Fourier series, functions of several variables, maxima, minima; Riemann integration, multiple integrals, line, surface and volume integrals, theorems of Green, Stokes and Gauss; metric spaces, compactness, completeness, Weierstrass approximation theorem; Lebesgue measure, measurable functions; Lebesgue integral, Fatou’s lemma, dominated convergence theorem.
Chapter 4 : Ordinary Differential Equations
First order ordinary differential equations, existence and uniqueness theorems for initial value problems, systems of linear first order ordinary differential equations, linear ordinary differential equations of higher order with constant coefficients; linear second order ordinary differential equations with variable coefficients; method of Laplace transforms for solving ordinary differential equations, series solutions (power series, Frobenius method); Legendre and Bessel functions and their orthogonal properties.
Chapter 5 : Algebra
Groups, subgroups, normal subgroups, quotient groups and homomorphism theorems, automorphisms; cyclic groups and permutation groups, Sylow’s theorems and their applications; Rings, ideals, prime and maximal ideals, quotient rings, unique factorization domains, Principle ideal domains, Euclidean domains, polynomial rings and irreducibility criteria; Fields, finite fields, field extensions.
Chapter 6 : Functional Analysis
Normed linear spaces, Banach spaces, Hahn-Banach extension theorem, open mapping and closed graph theorems, principle of uniform boundedness; Inner-product spaces, Hilbert spaces, orthonormal bases, Riesz representation theorem, bounded linear operators.
Chapter 7 : Numerical Analysis
Numerical solution of algebraic and transcendental equations: bisection, secant method, Newton-Raphson method, fixed point iteration; interpolation: error of polynomial interpolation, Lagrange, Newton interpolations; numerical differentiation; numerical integration: Trapezoidal and Simpson rules; numerical solution of systems of linear equations: direct methods (Gauss elimination, LU decomposition); iterative methods (Jacobi and Gauss-Seidel); numerical solution of ordinary differential equations: initial value problems: Euler’s method, Runge-Kutta methods of order 2.
Chapter 8 : Partial Differential Equations
Linear and quasilinear first order partial differential equations, method of characteristics; second order linear equations in two variables and their classification; Cauchy, Dirichlet and Neumann problems; solutions of Laplace, wave in two dimensional Cartesian coordinates, Interior and exterior Dirichlet problems in polar coordinates; Separation of variables method for solving wave and diffusion equations in one space variable; Fourier series and Fourier transform and Laplace transform methods of solutions for the above equations.
Chapter 9 : Topology
Basic concepts of topology, bases, subbases, subspace topology, order topology, product topology, connectedness, compactness, countability and separation axioms, Urysohn’s Lemma.
Chapter 10 : Probability and Statistics
Probability space, conditional probability, Bayes theorem, independence, Random variables, joint and conditional distributions, standard probability distributions and their properties (Discrete uniform, Binomial, Poisson, Geometric, Negative binomial, Normal, Exponential, Gamma, Continuous uniform, Bivariate normal, Multinomial), expectation, conditional expectation, moments; Weak and strong law of large numbers, central limit theorem; Sampling distributions, UMVU estimators, maximum likelihood estimators; Interval estimation; Testing of hypotheses, standard parametric tests based on normal, distributions; Simple linear regression.
Chapter 11 : Linear Programming
Linear programming problem and its formulation, convex sets and their properties, graphical method, basic feasible solution, simplex method, big-M and two phase methods; infeasible and unbounded LPP’s, alternate optima; Dual problem and duality theorems, dual simplex method and its application in post optimality analysis; Balanced and unbalanced transportation problems, Vogel’s approximation method for solving transportation problems; Hungarian method for solving assignment problems.
Chapter 12 : Calculus
Functions of two or more variables, continuity, directional derivatives, partial derivatives, total derivative, maxima and minima, saddle point, method of Lagrange’s multipliers; Double and Triple integrals and their applications to area, volume and surface area; Vector Calculus: gradient, divergence and curl, Line integrals and Surface integrals, Green’s theorem, Stokes’ theorem, and Gauss divergence theorem.
Functions of two or more variables, continuity, directional derivatives, partial derivatives, total derivative, maxima and minima, saddle point, method of Lagrange’s multipliers; Double and Triple integrals and their applications to area, volume and surface area; Vector Calculus: gradient, divergence and curl, Line integrals and Surface integrals, Green’s theorem, Stokes’ theorem, and Gauss divergence theorem.
GATE Mathematics Exam Pattern 2027
GATE Exam Pattern 2027 : Highlights
| GATE Examination Mode | Computer-Based Test (CBT) |
| GATE Exam Language | English |
| GATE Duration | 3 Hours (180 Minutes) |
| GATE Sectional Time Limit | None |
| GATE Total Marks | 100 |
| GATE Total Number of questions | 65 |
| GATE Type of Questions | Multiple Choice Questions (MCQ)
Multiple Select Questions (MSQ);
Numerical Answer Type (NAT) Questions
|
| GATE Number of Sections | Two/ Three (depending on the paper) |
| GATE Section-wise Number of Questions |
General Aptitude- 10 questions,
Core Discipline- 55 questions
|
| GATE Section-wise Weightage |
General Aptitude- 15 marks,
Core Discipline- 85 marks
|
| GATE Marking Scheme | 1 or 2 marks for each correct answer |
| GATE Negative Marking |
For 1 mark MCQ, 1/3 mark will be deducted for a wrong answer;
For 2-mark MCQ, 2/3 mark will be deducted for a wrong answer;
No negative marking for MSQs and NATs
|
Duration : 180 Minutes
Negative Mark :
For 1 mark MCQ, 1/3 mark will be deducted for a wrong answer;
For 2-mark MCQ, 2/3 mark will be deducted for a wrong answer;
No negative marking for MSQs and NATs
| S.No | Subject | No.of Question | Marks |
| 1 | General Aptitude | 10 | 15 |
| 2 | Mathematics Engineering | 55 | 85 |
| Total | 65 | 100 |
Mathematics
| Subject | No.of Question | Marks per Question | Marks |
Mathematics |
25 | 1 | 25 |
| 30 | 2 | 60 | |
| Total | 55 | 03 | 85 |
GATE Exam Date 2027
GATE Exam Date 2027 (Week 1) : 6th February 2027 to 7th February 2027
GATE Exam Date 2027 (Week 2) : 13th February 2027 to 14th February 2027
GATE Exam Date 2027 (Week 3) : 20th February 2027 to 21st February 2027
Starting Date of Application Form : 14th August 2026
Last Date of Application Form : 21st September 2026
GATE 2027 Mathematics Free Mock Test
Crack GATE Mathematics Mock Test exam 2027 with the help of GATE Mathematics Engineering Online Test Free or Question Paper. Every Sample Paper in GATE Exam has a designated weightage so do not miss out any Paper. Preprare and Practice Mock for GATE MA exam and check your test scores.
GATE Mathematics Exam Free Online Question Bank
GATE Mathematics question answer with solutions are available in Hindi & English. Join MCQ, Important Questions, Question Bank, questions and answers for Free GATE Mathematics exam preparation.
Combo Offers
GATE Mathematics Combo Packages
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Combo Package
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2. Question Bank - 1400 Questions with Answer.
3. Printed Material 10 Mock Test Papers with OMR Sheet.
4. 1500 (+) Current Affairs MCQ with Answer PDF in English.
5. 1000 (+) GK MCQ with Answer PDF Book in English.
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Combo Package
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Combo - 3 (English)
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4. EBook of GATE Mathematics (1000 MCQ) PDF Format in English.
5. 1500 (+) Current Affairs MCQ with Answer PDF in English.
6. 1000 (+) GK MCQ with Answer PDF Book in English.
2. Question Bank - 1400 Questions with Answer.
3. Printed Material 10 Mock Test Papers with OMR Sheet.
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FAQs
GATE Mathematics 2027 Free Mock Test Frequently Asked Questions (FAQ's)
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