Mathematics

This is a complete, free study companion for Mathematics — built around what the exam actually asks. The topics examiners repeat most are Calculus (Limits, Continuity, Differentiation, Integration), Differential Equations, and Matrices and Determinants. The syllabus runs to 23 chapters. Below you'll find the full topic-frequency ranking, the exam paper pattern, every chapter, a step-by-step study plan, and the official downloads — everything in one place.

Everything here is free. We're an independent student resource, not the official CET body, so always confirm the current syllabus and exam dates on the official CET website before you rely on them.

Key information

Level: Class 11-12
Programme: State CET (PCM)
Stream: Science
Exam: MHT-CET, KCET, WBJEE, KEAM, TG/AP EAPCET, GUJCET, COMEDK
Conducted by: State CET authorities

Frequently examined topics: Calculus (Limits, Continuity, Differentiation, Integration), Differential Equations, Matrices and Determinants, Vectors and 3D Geometry, Conic Sections (Circles, Parabola, Ellipse, Hyperbola), Probability, Trigonometric Functions and Equations, Complex Numbers, Permutations, Combinations and Binomial Theorem, Straight Lines and Coordinate Geometry.

What you will study (chapters)

Chapter 1: Sets, Relations and Functions
Chapter 2: Trigonometric Functions
Chapter 3: Complex Numbers and Quadratic Equations
Chapter 4: Linear Inequalities
Chapter 5: Permutations and Combinations
Chapter 6: Binomial Theorem
Chapter 7: Sequences and Series
Chapter 8: Straight Lines
Chapter 9: Conic Sections
Chapter 10: Introduction to Three Dimensional Geometry
Chapter 11: Limits and Derivatives
Chapter 12: Statistics
Chapter 13: Probability
Chapter 14: Matrices
Chapter 15: Determinants
Chapter 16: Continuity and Differentiability
Chapter 17: Application of Derivatives
Chapter 18: Integrals
Chapter 19: Application of Integrals
Chapter 20: Differential Equations
Chapter 21: Vector Algebra
Chapter 22: Three Dimensional Geometry
Chapter 23: Linear Programming

How to study Mathematics and score well

Start with the highest-frequency topics — In Mathematics, Calculus (Limits, Continuity, Differentiation, Integration), Differential Equations, Matrices and Determinants, and Vectors and 3D Geometry appear again and again in past papers. Master these first — they return the most marks for the time you put in.
Practise with previous-year papers — Solve the last 5–10 years of CET Mathematics papers under timed, exam-like conditions. Past papers show exactly which topics repeat and how questions are worded.
Revise actively, not passively — Write a one-page summary for each of the 23 chapters — key definitions, formulas and the points examiners reward — then re-test yourself instead of re-reading.
Mark your answers with the official scheme — After each practice paper, score yourself against the official marking scheme. It shows how marks are awarded step-by-step, so you learn to present answers the way examiners expect.

Exam tips: how to score higher in Mathematics

Where students lose marks: spending too long on one hard question, second-guessing answers they knew, and never practising full papers under time. Read the whole paper mentally as you go, bank the questions you are sure of first, and keep moving.

Attempt everything: MHT-CET and KCET carry no negative marking, so a blank answer is the only guaranteed zero. Eliminate what you can and answer every question — then confirm the current marking scheme for your session in the official brochure.

Frequently asked questions

What are the most important topics in Mathematics?

Based on past papers, the most frequently asked topics include Calculus (Limits, Continuity, Differentiation, Integration), Differential Equations, Matrices and Determinants. The full ranked list with how often each appears is in the "Most important topics" section above.

Where can I download Mathematics previous-year question papers?

Official CET previous-year question papers are available on the official CET website. Open the Question Papers section for the direct link, plus the exam pattern and the topics that repeat most.

How can I prepare for Mathematics faster?

Start with the highest-frequency topics, learn the exam pattern so you know how each section is marked, and practise with past papers. A subject-aware study tutor can quiz you on exactly these topics.