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KCET 2025 Mathematics Syllabus - Important Topics, PDF and Weightage

KCET Maths syllabus 2025 carries topics like statistics, linear inequalities, binomial theorem, sets, matrices, and others. A thorough knowledge of the KCET maths syllabus will help the candidates identify the important topics. 

 

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KCET 2025 Math Syllabus: As per the recent notification framed by the Department of Pre-University Education of Karnataka, KCET Maths syllabus 2025 is based on the syllabus of PUC-I and PUC-II. Since mathematics forms a vital portion of the syllabus and is considered to be one of the challenging areas from which questions are asked, candidates must prepare for the subject with proper effective planning. As per KCET Maths Analysis from previous years, the major focus of the candidates should be on topics like Probability, Sets, Calculus, Integration, Vectors, and Permutation and Combination. Around 7 to 8 questions are asked from these chapters every year. Preparing for mathematics subject for KCET 2025 exam includes completing the KCET 2025 mathematics syllabus, practicing KCET previous year question papers, and attempting mock tests as many as possible before the exam. 

Also Check, 

KCET 2025 Mathematics Syllabus

The following sub-topics from the given topics mentioned above are expected to pave the way for maximum questions in the Mathematics section of KCET 2025:

Name of Topics

Sub-Topics

Important Topics

Mathematical Reasoning

Problems, Negation, Quantifiers, Proving a Statement - Using the Method of Contradiction by giving Counter Examples, Compound Propositions, Logical Connectives, Definitions of Problems, and Proposition

  • Logical Connectives
  • Definition of Problems and Proposition
  • Using Method of Contradiction by Giving Counter Example

Introduction to 3-D Geometry

Section Formula and Problems, Distance Between Two Points, Coordinates of a Point, Coordinate Planes and Coordinate Axes in 3-D

  • Coordinate Planes and Coordinate Axes in 3-D
  • Distance Between Two Points

Principle of Mathematical Induction

Simple Problems Based on Summation, Principle of Mathematical Induction, Process of the Proof of Induction, etc

  • Principle of Mathematical Induction
  • Simple Problems Based on Summation

Statistics

Analysis of Frequency Distributions with Equal Means (Different Variances), Mean Deviation, Range, Measure of Dispersion, Variance and Standard Deviation of Grouped or Ungrouped Data

  • Analysis of Frequency Distributions with Equal Means
  • Variance and Standard Deviation of Grouped or Ungrouped Data

Linear Inequalities

Algebraic Solutions of Linear Inequalities, Linear Inequalities, Graphic Solutions of Linear Inequalities, etc

Graphic Solutions of Linear Inequalities

Complex Numbers and Quadratic Equations

Square Root of a Complex Number given in Supplement and Problems, Solution of Quadratic Equations in the Complex Number System, Brief Description of Algebraic Properties of Complex Numbers, Need of Complex Numbers - esp. √

  • Square Root of a Complex Number given in Supplement and Problems
  • Solution of Quadratic Equations in the Complex Number System

Binomial Theorem

Coefficient of X(r), Middle Term, Term Independent of X, Finding Any Term, Problems Based on Expansion, General and Middle Term in Binomial Expansion, Pascal’s Triangle, History, etc

  • Pascal’s Triangle
  • Term Independent of X
  • Coefficient of X(r)

Permutation and Combination

Combinations - Definition, Examples proving nCr= nPr r!, nCr = nCn-r; nCr +nCr-1 = n+1Cr, Fundamental Principle of Counting, Permutation when all the objects are not distinct, problems, Factorial permutations: Definition, examples, derivation of formulae nPr

  • Examples proving nCr= nPr r!, nCr = nCn-r; nCr +nCr-1 = n+1Cr
  • derivation of formulae nPr

Sets

Simple Practical Problems on Union and Intersection of Two Sets, Properties of Complement Sets, Complement of a Set, Difference of Sets, Union and Intersection of Sets, Universal Set, Power Set, Subsets of the set of real numbers especially intervals (with notations), Subsets, Equal Sets, Finite and Infinite Sets, Empty Set

  • Difference of Sets, Union, and Intersection of Sets
  • Subsets of the set of real numbers especially intervals
  • Finite and Infinite Sets

Matrices

Concept of Elementary Row and Column Operations, Symmetric and Skew Symmetric Matrices, Transpose of a Matrix, Scalar Multiplication of Matrices, Multiplication, Addition, Equality of Matrices, Scalar and Unit Matrix, Diagonal Matrix, Zero Matrix, Square Matrix, Rectangular Matrix, Row Matrix and Column Matrix

  • Square Matrix
  • Scalar Multiplication of Matrices
  • Symmetric and Skew Symmetric Matrices

Inverse Trigonometric Functions

Conversion of One Trigonometric Function to Another, Principle Value Branches, Domain, Range, Definition, Mentioning domain and range of trigonometric and inverse trigonometric functions

  • Mentioning domain and range of trigonometric and inverse trigonometric functions
  • Principle Value Branches

Linear Programming

Different Types of L.P.P, Mathematical Formulation of L.P.P, Non-Negativity Restrictions, Constraint Equations, Optimization, Objective Function, Introduction of L.P.P Definition of Constraints

  • Mathematical Formulation of L.P.P, Non-Negativity Restrictions
  • Introduction of L.P.P Definition of Constraints
  • Different Types of L.P.P

Application of Integrals

Problems - Area Bounded by Two Above Curves, Arcs of Ellipses/Parabolas/Circles, Area Under the Curve

  • Arcs of Ellipses/Parabolas/Circles
  • Area Under the Curve

Also Read:KCET 2025 Paper Analysis

KCET 2025 Mathematics Important Topics

Below is the list of topics from Mathematics from where the questions will be asked in KCET 2025: -

Name of Topics

Weightage

Mathematical Reasoning

06

Introduction to 3-D Geometry

07

Principle of Mathematical Induction

05

Statistics

07

Linear Inequalities

07

Complex Numbers and Quadratic Equations

09

Binomial Theorem

08

Permutation and Combination

09

Sets

08

Matrices

09

Inverse Trigonometric Functions

08

Linear Programming

07

Application of Integrals

08

KCET Best Books for Mathematics 2025

  • NCERT books of Class 11 and 12 for Mathematics
  • CET by Bosco
  • MCQ by Asit Das Gupta Mathematics by Dinesh
  • Mathematics for 1st Year PUC by Dr. PG Umarani
  • Karnataka CET Mathematics by S. Ravi Prakash and S.K. Gupta
  • Mathematics for Karnataka CET and COMEDK by MTG Editorial Board
  • Problems in Mathematics with Hints and Solutions by V. Govorov, P. Dybov, N. Miroshin and S. Smirnova
  • KCET Chapterwise Mathematics Solved by Arihant Publications

Also read: Best Books for KCET Preparation 2025

Tips for KCET Mathematics 2025 Exam Preparation

According to students, the KCET Mathematics section is typically thought to be long. As a consequence, fast tricks and tips are required for better outcomes. Following are a few tricks and tips:

  1. When calculating complicated trigonometric equations, the factorization formula can be quite useful
  2. Drawing graphs for coordinate geometry might be useful for anticipating solutions based on supplied statements/equations
  3. Similarly, a method of adjoining first, transposing first, or square other operation first might be employed for matrices
  4. Another key method for KCET 2025 preparation is to practice and answer as many questions as possible, particularly from previous years' questions of KCET 
  5. The student's time management abilities would improve with regular practice
  6. A fair number of mock tests should be completed to comprehend the diversity of questions and, as a result, to improve confidence
  7. Apart from that, creating a schedule with both short- and long-term objectives is critical
  8. Personalised timetables with adequate time divided for review and problem solutions are required
  9. Another key aspect is sticking to the schedule

Related Links on KCET 2025:

The students can refer to the following direct links for more about the KCET 2025 exam:

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FAQs

What is the marking scheme of KCET 2025 Mathematics?

As per the KCET mathematics marking scheme, candidates are awarded 1 mark for each correct answer. There is no negative marking for incorrect answers. 
 

What are the important textbooks required for KCET 2025 Mathematics?

Some of the important books required for KCET mathematics 2025 are NCERT books of Class 11 and 12 for Mathematics, CET by Bosco, MCQ by Asit Das Gupta Mathematics by Dinesh, and Mathematics for 1st Year PUC BY Dr. PG Umarani.
 

What are the important topics of the KCET 2025 mathematics syllabus?

Mathematical Reasoning, Introduction to 3-D Geometry, Principle of Mathematical Induction, Statistics, Linear Inequalities, Complex Numbers and Quadratic Equations, and Binomial Theorem are some of the important topics of the KCET 2025 mathematics syllabus.
 

What will be the difficulty level of the Mathematics section in the KCET 2025 exam?

In KCET 2025, the difficulty level of the Mathematics section may range from moderate to difficult. Candidates are required to check the KCET previous year’s question papers for more accurate observation. A thorough study of the NCERT books will prove to be helpful to ace the Mathematics section of the KCET 2025 exam. 

 

What topics should not be avoided while preparing the KCET Mathematics Syllabus 2025?

The extremely crucial topics of KCET Mathematics Syllabus 2024 are Complex Numbers, Quadratic Equations and Permutation and Combination. These topics carry high weightage in the KCET 2025 exam. To ace the KCET 2025 exam, the candidates need to thoroughly go through these topics. 

 

How much time will be required to complete the KCET Mathematics syllabus 2024?

Candidates generally start preparing for the KCET Mathematics Syllabus from their Class 11 itself. It is advisable that they must devote at least 6 months to complete the KCET Syllabus 2025. However, the candidates must remember that the more they study the more the probability of them securing high marks on the first attempt.

 

Is studying from the NCERT books enough for acing the Mathematics section of KCET 2025?

NCERT textbooks are good for the KCET Mathematics preparation and it should be used as the basic source for the KCET 2025 preparation. But it is not enough for the same because of the unavailability of the variety of the questions from different topics in the book. Hence, it is advisable to use previous year questions of Arihant Publications or the APCs for the same. 

 

Is it necessary to join the coaching institutes for completing the preparation of KCET Mathematics Syllabus 2025?

Mathematics is a subject that can help candidates in scoring well in the KCET 2025 exam if prepared well. It completely depends upon the intellect levels of the respective candidates if they can do it without the coaching classes. Moreover, the majority of the syllabus in KCET 2025 mathematics belong to the topics of class 11 and 12. Hence, joining coaching is not compulsory if candidates prepare well for Class 11 and 12.

How to prepare for KCET Mathematics 2025 Exam?

To prepare for the KCET Mathematics 2025, begin by thoroughly understanding the syllabus, focusing on topics like Algebra, Geometry, and Calculus. Practice solving a variety of problems from textbooks, sample papers, and online resources to strengthen concepts and improve problem solving and time management skills. Allocate specific time for each topic in a structured study schedule and regularly review formulas and theorems. Attempt mock tests to familiarize yourself with the exam pattern and enhance your time management skills. Seek guidance from teachers or tutors if needed and stay updated with any changes in the syllabus or exam format announced by the Karnataka Examination Authority.
 

What is KCET Maths Syllabus 2025?

KCET 2025 Maths syllabus contains 13 chapters from PUC 1 and 14 from PUC II. Such chapters are Sequence and Series, Relations, Sets, and Functions, Trigonometric Function, Permutation and Combination, Linear Inequalities, Probability, Statistics, and others. 
 

Admission Updates for 2025

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