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WBJEE 2022 Mathematics Topic Wise Weightage & Important Topics

Sakunth Kumar
Sakunth KumarUpdated On: April 29, 2022 05:57 pm IST | WBJEE

Mathematics section carries 100 marks in the WBJEE exam. Check the topic-wise weightage for WBJEE 2022 Mathematics along with the list of important topics.

WBJEE Mathematics Topic Wise Weightage & Important Topics

WBJEE Syllabus 2022 - Mathematics is the only section in the WBJEE with the highest weightage of marks. The Mathematics part has 75 questions for a total of 100 marks, which are divided into three categories. Candidates from Category 1 will be required to answer 50 questions, each worth one mark. Candidates from Category 2 and 3 will be required to answer 15 and 10 questions, respectively, and each correct answer will be worth two marks. The Mathematics portion has a negative marking system. There are five key chapters in the Mathematics syllabus of WBJEE 2022  from which questions will be asked in the entrance exam. 

The WBJEE exam will be held on April 30, 2022. Students appearing in the exam should be familiar with the important topics and their weightage from the WBJEE Syllabus 2022 in order to score good marks in the first attempt. In this article, we have given the topic-wise weightage for Mathematics to assist WBJEE 2022 applicants in identifying the most important topics.

 WBJEE 2022 Mathematics Syllabus

The Mathematics syllabus for WBJEE 2022 is vast. Before venturing into the topic-wise weightage of the WBJEE 2022 Mathematics subject, the candidates must know the detailed syllabus of the same - 

ChapterTopics
Algebra
  • A.P., G.P., H.P.: Definitions of A. P. and G.P.; General term; Summation of first in-terms of series ∑n, ∑n², ∑n3; Arithmetic/Geometric series, A.M., G.M. and their relation; Infinite G.P. series and its sum
  • Logarithms: Definition; General properties; Change of base

  • Complex Numbers: Definition in terms of ordered pair of real numbers and properties of complex numbers; Complex conjugate; Triangle inequality; the amplitude of complex numbers and its properties; Square root of complex numbers; Cube roots of unity; De Moivre's theorem (statement only) and its elementary applications. Solution of quadratic equation in complex number system

  • Polynomial equation: nth degree equation has exactly n roots (statement only); Quadratic Equations: Quadratic equations with real coefficients; Relations between roots and coefficients; Nature of roots; Formation of a quadratic equation, sign and magnitude of the quadratic expression ax2 +bx+c (where a, b, c are rational numbers and a ≠ 0)

  • Permutation and combination: Permutation of n different things taken r at a time (r ≤ n). Permutation of n things is not all different. Permutation with repetitions (circular permutation excluded). Combinations of n different things taken r at a time (r ≤ n). Combination of n things is not all different. Basic properties. Problems involving both permutations and combinations

  • Principle of mathematical induction: Statement of the principle, proof by induction for the sum of squares, sum of cubes of first n natural numbers, divisibility properties like 22n — 1 is divisible by 3 (n ≥ 1), 7divides 32n+1+2n+2 (n ≥ 1)

  • Binomial theorem (positive integral index): Statement of the theorem, general term, middle term, equidistant terms, properties of binomial coefficients

  • Matrices: Concepts of m x n (m ≤ 3, n ≤ 3) real matrices, operations of addition, scalar multiplication and multiplication of matrices. Transpose of a matrix. Determinant of a square matrix. Properties of determinants (statement only). Minor, cofactor and adjoint of a matrix. Non-singular matrix. Inverse of a matrix. Finding area of a triangle. Solutions of system of linear equations. (Not more than 3 variables)

  • Sets, Relations and Mappings: Idea of sets, subsets, power set, complement, union, intersection and difference of sets, Venn diagram, De Morgan's Laws, Inclusion / Exclusion formula for two or three finite sets, Cartesian product of sets

  • Relation and its properties. Equivalence relation — definition and elementary examples, mappings, range and domain, injective, surjective and bijective mappings, composition of mappings, inverse of a mapping

  • Statistics and Probability

  • Measure of dispersion, mean, variance and standard deviation, frequency distribution. Addition and multiplication rules of probability, conditional probability and Bayes’ Theorem, independence of events, repeated independent trails and Binomial distribution

Trigonometry
  • Trigonometric functions, addition and subtraction formulae, formulae involving multiple and submultiple angles, general solution of trigonometric equations. Properties of triangles, inverse trigonometric functions and their properties

Coordinate Geometry of 2 Dimension
  • Distance formula, section formula, area of a triangle, condition of collinearity of three points in a plane. Polar co-ordinates, transformation from Cartesian to polar coordinates and vice versa. Parallel transformation of axes

  • Concept of locus, locus problems involving all geometrical configurations, Slope of a line. Equation of lines in different forms, angle between two lines. Condition of perpendicularity and parallelism of two lines. Distance of a point from a line. Distance between two parallel lines. Lines through the point of intersection of two lines. Angle bisector

  • Equation of a circle with a given center and radius. Condition that a general equation of second degree in x, y may represent a circle. Equation of a circle in terms of endpoints of a diameter. Equation of tangent, normal and chord. Parametric equation of a circle. Intersection of a line with a circle. Equation of common chord of two intersecting circles

  • Definition of conic section, Directrix, Focus and Eccentricity, classification based on eccentricity. Equation of Parabola, Ellipse and Hyperbola in standard form, their foci, directrices, eccentricities and parametric equations

Coordinate Geometry of 3 Dimension
  • Direction cosines and direction ratios, distance between two points and section formula, equation of a straight line, equation of a plane, distance of a point from a plane

Calculus
  • Differential calculus: Functions, domain and range set of functions, composition of two functions and inverse of a function, limit, continuity, derivative, chain rule and derivative of functions in various forms. Concept of differential

  • Rolle's Theorem and Lagrange's Mean Value theorem (statement only). Their geometric interpretation and elementary application. L'Hospital's rule (statement only) and applications. Second order derivative

  • Integral calculus: Integration as a reverse process of differentiation, indefinite integral of standard functions. Integration by parts. Integration by substitution and partial fraction

  • Definite integral as a limit of a sum with equal subdivisions. Fundamental theorem of integral calculus and its applications. Properties of definite integrals

  • Differential Equations: Formation of ordinary differential equations, solution of homogeneous differential equations, separation of variables method, linear first order differential equations

  • Application of Calculus: Tangents and normals, conditions of tangency. Determination of monotonicity, maxima and minima. Differential coefficient as a measure of rate. Motion in a straight line with constant acceleration. Geometric interpretation of definite integral as area, calculation of area bounded by elementary curves and Straight lines. Area of the region included between two elementary curves

  • Vectors: Addition of vectors, scalar multiplication, dot and cross products, scalar triple product

WBJEE 2022 Mathematics Topic Wise Weightage

The topic-wise weightage of WBJEE Mathematics can be checked here. With an objective to give a better understanding, based on the WBJEE previous years paper analysis we have listed out the last three years’ topic-wise weightage as per WBJEE 2020, 2019 & 2018 question papers.

Name of the Topic

Expected No. of Questions in 2022

Total No. of Questions in 2020

2019

2018

Sets & Relation

4-5

4

4

6

Logarithms & Exponentials

2

2

2

1

Sequence & Series

1-2

1

1

1

Quadratic Equation

2-3

2

3

3

Complex Numbers

3-4

4

2

3

Matrices & Determinants

5-6

5

5

7

Binomial Theorem

1-2

1

1

2

Permutation & Combination

2-3

2

2

4

Probability & Statistics

2-3

3

2

2

Functions

3-6

3

7

-

Limits

5-8

8

8

5

Differentiation

4-7

7

2

6

Integration

7-9

7

8

9

Differential Equation

2-3

2

2

3

Trigonometry & Inverse

2-4

3

2

4

Straight Line, Circle, Parabola. Ellipse, Hyperbola

15-17

15

15

19

Vector

2

3

2

2

3D

1

1

2

2

Note: The 2022 expected weightage is calculated on the basis of previous years’ weightage. Therefore, the above data can be treated as a reference. The actual WBJEE Mathematics weightage for 2022 may vary.

Easy Scoring Topics in WBJEE 2022 Mathematics

Here is the list of easy scoring chapters in WBJEE 2022 Mathematics. With proper preparation, it is easy to score full marks for the questions related to these chapters.

Sets, Relation and Function

Integration & Area

Matrices & Determinants

LCD

Probability

Vector & 3D

Good & Average Score in WBJEE 2022 Mathematics

The most important aspect that the aspirants must keep in mind while attempting the WBJEE Mathematics question paper is negative marking. Out of 75 Questions, it is easy to attempt 45+ questions in the Mathematics section. The good & average scores in WBJEE 2022 can be as follows –

Good Score

85+

Average Score

65+

WBJEE 2022 Mathematics Marking Scheme 

WBJEE 2022 Mathematics paper will be conducted out of 100 marks. The paper for Mathematics in WBJEE 2022 will consist of 50 questions of 1 mark, 15 questions of 2 marks and 5 questions of 2 marks. 

WBJEE 2022 Preparation Tips

Keeping in mind the huge syllabus of WBJEE 2022, candidates must prepare accordingly so that they remain healthy and are able to score good marks in the examination. Some preparation tips for WBJEE 2022 exam  have been mentioned below.

  • Be Familiar with the syllabus: Visit the official website and check out the detailed WBJEE Syllabus 2022.
  • Devise a timetable: Set up a timetable and allot good time on the topics they you are weak in. Some short breaks in between the studying will increase the focus of the students.
  • Attempt Mock Tests: Attempt a good amount of mock tests before appearing for WBJEE 2022. This will provide a real-time exam experience. 
  • Thorough Revision: Refrain from studying any new topics a week before WBJEE 2022. This time must be spent in a thorough revision of the already learned topics. 

We hope that the Mathematics topic-wise weightage of WBJEE was helpful to you. With a proper preparation strategy, a student can score 75+ marks in the Mathematics section. You can also click on the links below for additional information.

WBJEE 2022 Exam Pattern & Marking Scheme

WBJEE Question Papers

WBJEE 2022 Preparation Strategy & Study Plan

For the latest WBJEE 2022 updates, stay tuned to CollegeDekho.

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