May 29, 2026
Quick Answer: The JEE B.Arch Math syllabus 2027 includes Mathematics topics from NCERT Class 11 and 12, covering algebra, coordinate geometry, calculus, trigonometry, vectors, probability, and 3D geometry.
The mathematics section in JEE Main Paper 2A (B.Arch) carries 25 questions for 100 marks and follows the same core syllabus as JEE Main Paper 1 Mathematics.
for effective JEE B.Arch Mathematics preparation.
The Mathematics section in JEE Main Paper 2A (B.Arch) exam pattern is one of the most important scoring sections because it contributes 100 marks out of the total 400 marks, accounting for 25% of the overall paper weightage.
It evaluates a student’s mathematical aptitude, problem-solving ability, calculation accuracy, and conceptual understanding required for architecture entrance preparation.
Unlike the Drawing and Aptitude sections, Mathematics is completely objective-based and includes:
with negative marking applicable for incorrect answers.
|
Aspect |
Details |
|
Total Questions |
25 Questions |
|
Question Types |
20 MCQs + 5 Numerical Value Questions |
|
Total Marks |
100 Marks |
|
Weightage in Overall Paper |
25% of Total Paper |
|
Negative Marking |
Yes (-1 for incorrect answers) |
|
Syllabus Base |
NCERT Class 11 & 12 Mathematics |
|
Difficulty Level |
Moderate to Difficult |
Check: JEE Mains Paper 2 Mock Test Series 2027
UNIT 1: SETS, RELATIONS, AND FUNCTIONS:
Sets and their representation: Union, intersection and complement of sets and their algebraic properties; Power set; Relation, Type of relations, equivalence relations, functions; one-one, into and onto functions, the composition of functions.
UNIT 2: COMPLEX NUMBERS AND QUADRATIC EQUATIONS:
Complex numbers as ordered pairs of reals, Representation of complex numbers in the form a + ib and their representation in a plane, Argand diagram, algebra of complex number, modulus and argument (or amplitude) of a complex number, square root of a complex number, triangle inequality, Quadratic equations in real and complex number system and their solutions Relations between roots and co-efficient, nature of roots, the formation of quadratic equations with given roots.
UNIT3: MATRICES AND DETERMINANTS:
Matrices, algebra of matrices, type of matrices, determinants, and matrices of order two and three, properties of determinants, evaluation of determinants, area of triangles using determinants, Adjoint, and evaluation of inverse of a square matrix using determinants and elementary transformations, Test of consistency and solution of simultaneous linear equations in two or three variables using determinants and matrices.
UNIT 4: PERMUTATIONS AND COMBINATIONS:
The fundamental principle of counting, permutation as an arrangement and combination as section, Meaning of P (n,r) and C (n,r), simple applications.
Check: JEE Mains Paper 2 Seat Allotment 2027
UNIT 5: MATHEMATICAL INDUCTIONS:
Principle of Mathematical Induction and its simple applications.
UNIT 6: BINOMIAL THEOREM AND SIMPLE APPLICATIONS:
Binomial theorem for a positive integral index, general term and middle term, properties of Binomial coefficients, and simple applications.
Check: GK Questions for JEE Main Paper 2 2027
UNIT 7: SEQUENCE AND SERIES:
Arithmetic and Geometric progressions, insertion of arithmetic, geometric means between two given numbers, Relation between A.M and G.M sum up to n terms of special series; Sn, Sn2, Sn3. Arithmetico-Geometric progression.
UNIT 8: LIMIT, CONTINUITY, AND DIFFERENTIABILITY:
Real–valued functions, algebra of functions, polynomials, rational, trigonometric, logarithmic, exponential functions, inverse functions. Graphs of simple functions. Limits, continuity, and differentiability. Differentiate the sum, difference, product, and quotient of two functions. Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions; derivatives of order up to two, Rolle’s and Lagrange's Mean value Theorems, Applications of derivatives: Rate of change of quantities, monotonic increasing and decreasing functions, Maxima and minima of functions of one variable, tangents and normal.
UNIT 9: INTEGRAL CALCULUS:
Integral is an anti-derivative, Fundamental Integrals involving algebraic, trigonometric, exponential, and logarithmic functions. Integrations by substitution, by parts, and by partial functions. Integration using trigonometric identities.
Check: JEE Main Paper 2 Drawing Questions with Answers
UNIT 10: DIFFERENTIAL EQUATIONS
Ordinary differential equations, their order and degree, the formation of differential equations, solution of differential equation by the method of separation of variables, solution of a homogeneous and linear differential equation of the type
UNIT 11: CO-ORDINATE GEOMETRY
UNIT 12: THREE-DIMENSIONAL GEOMETRY
Coordinates of a point in space, the distance between two points, section formula, direction ratios, direction cosines, and the angle between two intersecting lines. Skew lines, the shortest distance between them, and their equation. Equations of a line and a plane in different forms, the intersection of a line and a plane, and coplanar lines.
UNIT 13: VECTOR ALGEBRA
Vectors and scalars, the addition of vectors, components of a vector in two dimensions and three-dimensional space, scalar and vector products, scalar and vector triple product.
UNIT 14: STATISTICS AND PROBABILITY
Measures of discretion; calculation of mean, median, mode of grouped and ungrouped data, standard deviation, variance and mean deviation for grouped and ungrouped data.
Probability: Probability of an event, addition and multiplication theorems of probability, Baye's theorem, probability distribution of a random variate, Bernoulli trials, and binomial distribution.
UNIT 15: TRIGONOMETRY
Trigonometrical identities and equations, trigonometrical functions, inverse trigonometrical functions, their properties, heights, and distance.
UNIT 16: MATHEMATICAL REASONING
Statement logical operations and, or, implies, implied by, if and only if, understanding of tautology, contradiction, converse, and contrapositive.
Check: Percentile v/s Scores in JEE Main Paper 2
The three sections of JEE Main Paper 2A test different skill sets:
|
Section |
What It Tests |
Marks |
|
Mathematics |
Logical thinking, calculation ability, problem-solving |
100 Marks |
|
Aptitude Test |
Visualization, spatial ability, analytical reasoning, architecture awareness |
200 Marks |
|
Drawing Test |
Creativity, perspective, composition, visual communication |
100 Marks |
While Aptitude carries the highest weightage and Drawing evaluates creative ability, Mathematics provides a strong scoring opportunity because answers are objective and concept-driven.
Read More: How to download JEE main paper 2 admit card
|
Chapter |
Importance Level |
Expected Question Trend |
|
Coordinate Geometry |
Very High |
Straight Lines, Circles, Parabola, Ellipse, Hyperbola asked almost every year |
|
Calculus |
Very High |
Limits, Continuity, Differentiation, Integration, Area Under Curve, Differential Equations |
|
Matrices & Determinants |
High |
Matrix operations, determinants, system of equations |
|
Vector Algebra |
High |
Dot product, cross product, direction ratios, vector applications |
|
3D Geometry |
High |
Lines, planes, shortest distance, angle between lines/planes |
|
Probability |
High |
Conditional probability, distributions, counting-based probability |
|
Permutation & Combination |
High |
Arrangement, selection and counting problems |
|
Sequence & Series |
Medium-High |
AP, GP, special series, summations |
|
Complex Numbers |
Medium-High |
Modulus, argument, roots, geometric interpretation |
|
Statistics |
Medium |
Mean, variance, standard deviation |
|
Trigonometry |
Medium |
Trigonometric identities and applications |
|
Binomial Theorem |
Medium |
Expansion and coefficient-based questions |
|
Sets, Relations & Functions |
Medium |
Domain, range, relations, function properties |
Check: JEE Main Paper 2 Syllabus
|
Chapter |
Average Questions |
Marks Potential |
|
Coordinate Geometry |
4-5 |
16-20 Marks |
|
Calculus |
4-5 |
16-20 Marks |
|
Vectors & 3D Geometry |
3-4 |
12-16 Marks |
|
Matrices & Determinants |
2-3 |
8-12 Marks |
|
Probability & Statistics |
2-3 |
8-12 Marks |
|
Permutation & Combination |
1-2 |
4-8 Marks |
|
Sequence & Series |
1-2 |
4-8 Marks |
|
Complex Numbers |
1-2 |
4-8 Marks |
|
Trigonometry |
1-2 |
4-8 Marks |
|
Binomial Theorem |
0-1 |
0-4 Marks |
|
Sets, Relations & Functions |
1-2 |
4-8 Marks |
|
Mathematical Reasoning / Miscellaneous |
1-2 |
4-8 Marks |
Check: Important drawing questions for JEE Main Paper 2 Exam
Your preparation strategy should change depending on the time available.
The goal is not to study everything equally, but to maximize marks from high-weightage chapters while maintaining strong accuracy.
|
Timeline |
Focus Areas |
Mock Frequency |
|
6 Months Before Exam |
Complete the entire syllabus systematically. Build concepts using NCERT and standard JEE resources. Focus heavily on Coordinate Geometry, Calculus, Matrices, Probability, Vectors, and 3D Geometry. Create a formula notebook and solve chapter-wise JEE B.Arch PYQs after every topic. |
1 sectional mock every week |
|
3 Months Before Exam |
Syllabus should be largely complete. Shift focus to mixed-topic practice, numerical value questions, weak chapter improvement, and speed-building. Start revising formulas weekly and solving full-length mathematics tests. |
1–2 full mocks per week |
|
1 Month Before Exam |
No new topics. Focus entirely on revision, PYQs, mock analysis, error correction, and high-weightage chapters. Strengthen calculation speed and accuracy. Revise all formulas repeatedly. |
2–3 full mocks per week |
Check: JEE B.Arch Exam Analysis 2027
One of the biggest confusions among architecture aspirants is whether the JEE B.Arch Math syllabus is different from JEE Main Paper 1 Mathematics.
In reality, the core Mathematics syllabus remains almost the same, but the role, weightage, competition level, and preparation strategy differ significantly.
|
Factor |
JEE B.Arch Maths |
JEE Main Paper 1 Maths |
|
Syllabus |
Same Mathematics syllabus based on NCERT Class 11 & 12 |
Same Mathematics syllabus based on NCERT Class 11 & 12 |
|
Exam Paper |
Part of JEE Main Paper 2A (B.Arch) |
Part of JEE Main Paper 1 (B.Tech/B.E.) |
|
Total Maths Questions |
25 Questions |
25 Questions |
|
Marks Weightage |
100 Marks out of 400 |
100 Marks out of 300 |
|
Percentage Weightage |
25% of total paper |
33.3% of total paper |
|
Question Types |
MCQs + Numerical Value Questions |
MCQs + Numerical Value Questions |
|
Negative Marking |
Applicable |
Applicable |
|
Difficulty Level |
Moderate to Difficult |
Moderate to Difficult (often slightly more competitive) |
|
Competition Level |
Lower compared to B.Tech aspirants |
Extremely high due to large engineering applicant pool |
|
Role in Final Rank |
Important but balanced with Aptitude & Drawing |
One of the three core rank-defining subjects |
|
Additional Sections in Exam |
Aptitude + Drawing Test |
Physics + Chemistry |
|
Preparation Priority |
Balanced with Drawing and Aptitude |
Balanced with Physics and Chemistry |
Check: Eligibility Criteria off JEE Mains
Studying from the NCERT textbooks will be sufficient. However, you can refer to the following books for better concept clarity and practice papers.
Check: How To Prepare For JEE Main Paper 2 in 6 Months
The JEE B.Arch Maths syllabus is comprehensive and covers various topics. It is designed to give students a solid foundation in mathematics and the ability to apply mathematical principles in various contexts.
By mastering the concepts and topics in the JEE B.Arch Maths syllabus, students will be well-equipped to excel in their upcoming examinations and career paths.
Preparing for JEE Main Paper 2 for B.Arch program at IITs in 2027? We can help you with exact strategic roadmap, study material and crucial feedback required to ace this exam.
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Frequently Asked Questions
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