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CBSE Class 12 Mathematics

CBSE Class 12 Mathematics (subject code 041) has a 3-hour, 80-mark board theory paper and 20 marks of internal assessment, covering six units from relations and functions to probability. Our CBSE Class 12 Maths course follows the latest NCERT syllabus chapter by chapter: relations and functions, inverse trigonometric functions, matrices, determinants, continuity and differentiability, applications of derivatives, integrals, applications of integrals, differential equations, vectors, three-dimensional geometry, linear programming and probability. Each lesson is live and one-to-one with a verified subject teacher, who explains concepts from first principles, solves NCERT and exemplar questions with you, and practises board-pattern questions, sample papers and previous years' questions. It also supports JEE Main and CUET maths preparation. Suitable for students in India and at CBSE schools in the Gulf and abroad, with lesson times in IST and GST.

Reviewed by M. Wazid, Master's in Mathematics, Jamia Millia IslamiaLast updated

500 enrolled·60 lessons·60h·Advanced·English
60
Lessons
60h
Total duration
500
Students enrolled
Advanced
Level

What you will learn

Learning outcomes

  • Understand relations and functions
  • Solve inverse trigonometric function problems
  • Perform matrix operations
  • Apply determinants to mathematical problems
  • Understand continuity and differentiability
  • Apply derivatives to real-world and mathematical problems
  • Evaluate integrals using appropriate techniques
  • Apply integration to calculate areas
  • Solve differential equations
  • Work with vectors and three-dimensional geometry
  • Solve linear programming problems
  • Calculate conditional probability
  • Apply Bayes theorem
  • Develop mathematical reasoning and problem-solving skills
  • Solve CBSE board exam-style questions

Prerequisites

  • CBSE Class 11 Mathematics
  • Basic algebra skills
  • Understanding of functions and graphs
  • Basic trigonometry
  • Coordinate geometry fundamentals
  • Basic probability concepts

Tags

CBSE Class 12 MathsClass 12 Mathematics tutorCBSE board exam mathsNCERT Maths Class 12calculusintegrationmatricesvectorsprobabilityJEE

Course structure

Syllabus(13 modules)

  • Types of relations: reflexive
  • symmetric
  • transitive and equivalence relations. One to one and onto functions.

What is CBSE Class 12 Mathematics?

In short: this course gives one-to-one online tutoring for CBSE Class 12 Mathematics. A verified tutor explains every chapter, works through textbook exercises and sample-paper questions step by step, and builds the exam technique you need for the board exam.

CBSE Class 12 Mathematics is the senior secondary maths subject of India's Central Board of Secondary Education, with calculus as its largest unit. It is assessed by a CBSE board theory exam plus internal assessment, and is essential preparation for JEE and many university courses.

This course covers every NCERT chapter one to one with a verified maths tutor.

For wider support, see our maths tutoring page, and if you are also preparing for engineering entrance exams, the JEE Mathematics course.

How is CBSE Class 12 Mathematics assessed?

CBSE Class 12 Mathematics follows the CBSE syllabus. Class 12 ends with the board examination, set by CBSE, alongside internal or practical assessment where the subject includes it. Marks, durations and question types can change from year to year, so check the current CBSE curriculum for your exam year. Tutors follow the textbook chapters your school teaches and practise the question styles in recent sample papers.

Which units are in the Class 12 Mathematics syllabus?

UnitChapters
Relations and functionsRelations and functions; inverse trigonometric functions
AlgebraMatrices; determinants
CalculusContinuity and differentiability; applications of derivatives; integrals; applications of integrals; differential equations
Vectors and three-dimensional geometryVectors; three-dimensional geometry
Linear programmingLinear programming
ProbabilityProbability

How do you score high in Class 12 Maths?

  1. Make calculus your priority, as it carries the most marks.
  2. Learn standard integrals and integration methods: substitution, parts and partial fractions.
  3. Solve every NCERT example and exercise.
  4. Practise step-by-step working, as CBSE awards step marks.
  5. Revise formulas daily.
  6. Solve full sample papers under timed conditions.

What does a worked maths question look like?

Here is a typical calculus question: find the gradient of y = x³ at x = 2.

StepWorking
Differentiatedy/dx = 3x²
Substitute x = 23 × 2² = 12
AnswerThe gradient is 12

Where do students lose marks in CBSE Class 12 Mathematics?

Students most often lose marks through the habits below. Each is easy to fix with regular practice and feedback.

Mark-loserWhat to do instead
Steps skippedWrite every step; method carries marks
Formula errorsKeep a formula list and revise it daily
Sign mistakesCheck each line, especially with negatives
Diagrams missing in geometryDraw and label a neat diagram
Not practising NCERT exercisesComplete every NCERT exercise and example

NCERT, sample papers and exam technique

CBSE board questions are based closely on the NCERT textbooks, so tutors work through NCERT text, in-text questions and exercises first, then CBSE sample question papers and previous years' papers. Recent papers include more competency-based questions, such as case-based and assertion-reason questions, and tutors practise these question types specifically. The Class 12 exam is the CBSE board exam, usually held in February and March.

How the lessons work

Lessons are live and one to one on video with a shared whiteboard, at times that suit students in India and abroad. Your tutor follows the latest CBSE syllabus and your school's schedule. See also CBSE Class 11 Mathematics, ISC Class 12 Mathematics and JEE Mathematics Preparation.

CBSE Class 12 maths online tuition: who this course is for, prerequisites and study plan

CBSE Class 12 maths online tuition gives you live 1-to-1 lessons on calculus, matrices, vectors and probability, with NCERT practice and sample papers for your board exam.

This course suits Class 12 CBSE students in India and in CBSE schools abroad, including the Gulf.

Prerequisites: CBSE Class 11 Maths, including functions, trigonometry and coordinate geometry.

Course length: 60 one-hour lessons across 13 chapters.

StageTopicsWhat you can do afterwards
1Relations and functions; inverse trigonometric functionsWork with function types and inverse ratios
2Matrices; determinantsSolve systems of equations
3Continuity and differentiability; derivatives; integrals; differential equationsSolve calculus problems for the board paper
4Vectors; 3D geometry; linear programming; probabilitySolve geometry, optimisation and probability questions

Where it leads: see the JEE Maths course if you are also preparing for JEE, or our CBSE hub.

CBSE Class 12 Mathematics: frequently asked questions

Which unit has the most marks?

Calculus carries the largest share of marks.

Is NCERT enough for Class 12 Maths?

NCERT plus exemplar problems and sample papers is ideal for boards.

Does CBSE give step marks?

Yes. Showing working earns marks even if the final answer is wrong.

How do I get faster at integration?

Learn standard forms and practise many varied integrals.

Do you help with JEE Maths?

Yes. See our JEE Mathematics Preparation course.

Is a calculator allowed?

No. Calculators are not allowed in the CBSE maths exam.

Do you use CBSE sample papers?

Yes. Tutors use CBSE sample question papers and previous years' papers.

How much does a CBSE Class 12 Mathematics tutor cost?

The price depends on the tutor and session length. You see the hourly rate before booking, with no subscription.

Can I study online from outside India?

Yes. Lessons are online and scheduled around your time zone.

What does CBSE Class 12 Mathematics cover?

The chapters in the current CBSE syllabus for Class 12; tutors follow the textbook and the order your school teaches.

How should I use the textbook exercises?

Complete every exercise and worked example, then move on to sample papers and previous questions.

How do I score well in Mathematics?

Learn concepts before formulas, practise regularly, show full working and review every mistake.

Which is the hardest chapter in CBSE Class 12 Maths?

Many students find integrals, applications of derivatives and three-dimensional geometry the hardest, because they need many methods and careful algebra. Calculus also carries the most marks, so it repays extra practice. Working through NCERT exercises and examples first, then previous years' questions, is the most reliable way to build confidence.

Is CBSE Class 12 Maths difficult?

CBSE Class 12 Maths is manageable for students who keep up through the year, because the paper closely follows the NCERT textbook. Difficulty comes from the volume of calculus and from careless errors under time pressure. Regular practice of NCERT exercises, sample papers and previous years' questions makes a high score realistic.

Can I get help before school tests?

Yes. Tutors focus lessons on the chapters coming up in your tests.

Can parents book lessons?

Yes. Parents can book, choose the tutor and agree goals, and the student joins the lessons.

Do you offer lessons in my time zone?

Yes. Lessons are online, so students in India, the Gulf and elsewhere can book convenient times.

Can I book a single lesson first?

Yes. You can book one session to see if the tutor suits you, with no subscription.

How often should I have lessons?

Weekly lessons suit most students; add extra sessions before exams.

Can my tutor set practice between lessons?

Yes. Tutors can set questions and go through them in the next session.

Can I take CBSE Class 12 maths online tuition?

Yes. You can take CBSE Class 12 maths online tuition through live 1-to-1 video lessons from India or abroad. Your tutor follows NCERT and your school schedule, works through calculus step by step and uses sample papers so you can manage your time in the board exam.

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