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Pankaj Kandpal
Verified

Pankaj Kandpal

Almora

Teaches Maths

CBSE ICSE ISC +2
Classes
1–12
Experience
14+ yrs
Fee
₹500/hr
Siddhartha Kushwaha
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Siddhartha Kushwaha

Naharlagaun

Teaches Maths

CBSE ICSE ISC
Experience
10+ yrs
Fee
₹200/hr
Govind Gupta

Govind Gupta

Ghaziabad

Teaches Maths · Science

CBSE ICSE ISC
Classes
1–12
Experience
12+ yrs
NS
Verified · Woman tutor

Nagma Singh

Lake Town, Dum Dum & Baguiati, Kolkata

Teaches Maths · Science · English

CBSE ICSE ISC +1
Experience
10+ yrs
Fee
₹500/hr
GA
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Gaurav Agarwal

Whitefield, Marathahalli & KR Puram, Bengaluru

Teaches Maths · English

CBSE ICSE ISC
Experience
8+ yrs
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₹300/hr
K.Goutham K PRU
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K.Goutham K PRU

Chennai

Teaches Maths

CBSE ICSE ISC +2
Classes
1–12
Experience
5+ yrs
Fee
₹350/hr
Meghana singh
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Meghana singh

Sector 76, Noida

Teaches Maths · Science · Hindi

CBSE ICSE ISC +2
Classes
1–12
Experience
5+ yrs
Fee
₹15,000/hr
Rahul Kumar
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Rahul Kumar

Buxar

Teaches Maths · Science

CBSE ICSE ISC
Experience
4+ yrs
Fee
₹200/hr

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ISC maths tutor: Classes 11 and 12, the 2027 syllabus, the project and JEE

ISC Mathematics is one of the most demanding school maths courses in India, and it has just changed. For years the Class 12 paper had a compulsory Section A and a choice between Section B and Section C. The CISCE syllabuses for the 2027 and 2028 examinations drop that choice: every ISC maths student now studies the same seven units. This guide, written by Ajay Vatsyayan, who guides ISC maths on NXTutors alongside IB and IGCSE maths, explains what ISC maths in Classes 11 and 12 now covers, how the marks are split, what happened to Sections B and C, how ISC compares with CBSE, how it fits with JEE, and how to find the right ISC maths tutor, at home or online, wherever you are in India.

ISC maths at a glance

ISC is the Indian School Certificate, the Class 12 examination run by the Council for the Indian School Certificate Examinations (CISCE). The maths subject most science students take is Mathematics, subject code 860. CISCE describes it as the course for students heading towards mathematics, physics, chemistry, engineering, architecture and related fields.

The shape is the same in both years. Each year has a three-hour theory paper worth 80 marks and project work worth 20 marks. The difference is who sets the paper: the Class 11 final examination is conducted by the school, while the Class 12 paper is the ISC board examination set by CISCE.

ISC Mathematics (860): the structure in Classes 11 and 12
ComponentClass 11Class 12
Paper I: theory3 hours, 80 marks, school examination3 hours, 80 marks, ISC board examination
Paper II: project work20 marks (two projects)20 marks (two projects)
Who assesses the projectSubject teacher and a Visiting ExaminerSubject teacher and a Visiting Examiner

There is a second maths subject in ISC, Applied Mathematics (subject code 885), meant for students heading towards commerce, economics, humanities, biosciences and the social sciences. A student cannot take both. Most of this guide is about Mathematics (860), because that is what "ISC maths" usually means; Applied Mathematics comes up again in the section on Sections B and C.

ISC Class 11 maths: the syllabus and marks

Class 11 is where ISC maths gets serious. The CISCE syllabus for Class 11 spreads the 80 theory marks across five units:

ISC Class 11 Mathematics (860): units and marks
UnitMain topicsMarks
Sets and FunctionsSets; relations and functions; trigonometry18
AlgebraComplex numbers; quadratic equations; permutations and combinations; binomial theorem; sequences and series26
Coordinate GeometryStraight lines; circles; conic sections (parabola, ellipse, hyperbola); introduction to three-dimensional geometry20
CalculusLimits and derivatives8
Statistics and ProbabilityStatistics; probability8
Theory total80

Algebra and coordinate geometry carry more than half the marks, and both are heavy. Trigonometry arrives with a long list of identities, conics bring a new kind of geometry, and permutations and combinations reward careful thinking more than formula recall. Calculus is only 8 marks in Class 11, but limits and derivatives are the base for the 35 marks of calculus in Class 12.

Because the Class 11 examination is set by the school, papers vary in length and difficulty from school to school. Some schools set papers close to the board standard; others are gentler. Either way, the Class 11 syllabus is the foundation for Class 12 and for JEE, so a student who coasts through it tends to pay for it the following year. Our Class 11 maths tutor page covers this year across boards.

ISC Class 12 maths for the 2027 exam: the syllabus and marks

For students sitting the ISC examination in 2027 (in Class 12 during 2026-27), CISCE's syllabus lists seven units, all compulsory. The 2028 syllabus, published in January 2026, keeps the same units and marks:

ISC Class 12 Mathematics (860), examination years 2027 and 2028
UnitMain topicsMarks
Relations and FunctionsTypes of relations; one-one and onto functions; composite and inverse functions; inverse trigonometric functions10
AlgebraMatrices and determinants, including solving systems of linear equations with the inverse of a matrix10
CalculusContinuity and differentiability; applications of derivatives; integrals; area under curves; differential equations35
Vector AlgebraVectors, scalar and vector products, projections5
Three-dimensional GeometryLines and planes in vector and Cartesian form; angles and distances6
Linear ProgrammingFormulating problems; graphical solution in two variables5
ProbabilityConditional probability; multiplication theorem; total probability; Bayes' theorem; random variables, their distributions and mean9
Theory total80
Project workTwo projects of 10 marks each20

Calculus is almost half the theory paper, and it is where the year is won or lost. The syllabus notes a few boundaries worth knowing: equations reducible to variable-separable form are included in differential equations, second-order differential equations are excluded, and proofs of geometrical theorems using vectors are excluded. A tutor who knows these edges saves the student time on material that will not be examined.

Syllabuses are revised from time to time, and CISCE's rule is that candidates follow the syllabus of the year in which they sit the examination. Always check the current CISCE syllabus for your child's exam year before relying on any table, including this one.

ISC maths Section B and Section C: what changed

Many families still search for help with "ISC maths Section B or C", and many guides, textbooks and older papers are built around it, so it is worth being clear about what has changed.

Up to the 2026 examination, the Class 12 paper had a compulsory Section A worth 65 marks and then a choice: students answered all the questions from either Section B or Section C, each worth 15 marks. Under the revised 2026 syllabus, Section B covered vectors, three-dimensional geometry and applications of integrals, while Section C covered applications of calculus in commerce and economics, linear regression and linear programming. Schools usually decided which section they taught, broadly Section B for engineering-minded students and Section C for commerce students.

From the 2027 examination, the CISCE syllabus for Mathematics (860) no longer divides the paper into Sections B and C. Vectors, three-dimensional geometry and linear programming are now compulsory units for every student, area under curves sits inside calculus, and linear regression no longer appears in the Mathematics syllabus. Students who want a maths course aimed at commerce and economics now have Applied Mathematics (885), whose Class 12 syllabus includes financial mathematics, index numbers and moving averages.

What this means in practice:

  • Old papers need care. ISC maths papers up to 2026 contain Section C questions on regression and commerce applications that are no longer in the 860 syllabus. They are still excellent practice for Section A, but a tutor should flag which questions to skip.
  • Commerce students with Mathematics (860) must now do vectors and 3D geometry. For a student who expected Section C, that is roughly eleven marks of unfamiliar geometry. It is very learnable, but it needs to be planned.
  • The subject choice matters more than before. In Class 11, families choosing between Mathematics and Applied Mathematics are really choosing the course, not a section. Engineering, architecture, physics and JEE point to Mathematics (860); many commerce, economics and humanities routes are served by Applied Mathematics, but check the entry requirements of the specific degree courses your child is considering.
  • Repeaters follow the new syllabus. A student taking the examination again follows the syllabus for the year of that examination, not the one they studied.

CISCE had not yet published a 2027 specimen paper for Mathematics when this guide was written. The specimen paper shows how many questions there are and where the internal choices sit, so look for it on cisce.org and practise with it as soon as it appears.

How the ISC Class 12 maths paper works

The detailed layout for 2027 will be confirmed by the specimen paper, but several features of ISC maths papers have been stable and are worth building habits around. Going by the CISCE specimen paper for 2026:

  • Fifteen minutes of reading time. Students may read but not write. It is the time to choose between internal-choice questions and to spot the questions to do first.
  • A mix of question lengths. The paper opens with short items, including multiple-choice questions where only one option is written as the answer, and builds to longer questions worth several marks each.
  • Internal choices. Some questions offer an either/or. Choosing quickly and sticking with the choice saves more time than students expect.
  • Working on the same page. All working, including rough work, must be done on the same page as, and next to, the rest of the answer. Examiners look at it.
  • Tables and graph paper are provided. Students should not bring their own.

On calculators, the current ISC regulations permit the Casio fx-82 MS scientific calculator, calculators of other makes with similar functions, or basic calculators; any calculator that can store and retrieve information is not allowed. That does not mean every step can be handed to the calculator. ISC maths marks come from method, so the student still needs to show the working. Check the regulations for your exam year and any instructions printed on the paper.

The ISC maths project: 20 marks worth taking seriously

Project work is Paper II, and it is worth 20 marks in each of Classes 11 and 12. That is a fifth of the subject, and unlike the theory paper, much of it can be secured before the examination season begins.

Each student completes two projects, each marked out of 10. The syllabus sets out how the marks are divided:

ISC Mathematics project work: marks for each project
CriterionMarksWho assesses it
Overall format1Subject teacher and Visiting Examiner
Content4Subject teacher and Visiting Examiner
Findings2Subject teacher and Visiting Examiner
Viva-voce based on the project3Visiting Examiner only
Total per project10

CISCE provides a list of suggested project topics. In Class 12 these include finding areas bounded by pairs of curves, comparing methods for finding the area under a curve, tessellations and the derivation of determinants. Class 11 suggestions include illustrating trigonometric graphs, constructing conics and using Pascal's triangle for binomial expansions. No question paper is set for the project.

The part students underestimate is the viva. Three marks per project depend on the student explaining their own work to the Visiting Examiner. A project that was heavily "helped" at home shows up quickly in a viva. The right role for a tutor is to help the student choose a topic they can handle, check the mathematics, push for clear findings and rehearse the viva questions, while the work itself stays the student's.

How ISC maths differs from CBSE Class 12 maths

With Sections B and C gone, ISC Class 12 maths now looks closer to CBSE than it used to. The topic lists overlap heavily and calculus carries 35 of the 80 theory marks on both boards. The differences that remain are real, though, and they change how a student should prepare:

ISC Mathematics (860) and CBSE Mathematics (041) in Class 12
FeatureISCCBSE
Theory paper80 marks, 3 hours80 marks, 3 hours
Other 20 marksTwo projects, including a viva with a Visiting ExaminerInternal assessment: periodic tests and mathematics activities
Calculus35 marks35 marks
Vectors and 3D geometry11 marks14 marks
Probability9 marks8 marks
TextbooksSchools choose books written to the CISCE syllabusNCERT textbooks
Question styleLonger, multi-part questions; method and working heavily rewardedPublished question pattern, including case-study questions

The textbook point matters more than it looks. A CBSE student can treat NCERT as the course. An ISC student cannot treat any single book that way; the CISCE syllabus is the real guide, and schools use different books. A good ISC tutor works from the syllabus and the student's school book together.

Class 11 is where the boards differ most. The ISC Class 11 syllabus is dense, and ISC students often meet topics in more depth or a different order from CBSE students. For the CBSE side of the comparison, including the CBSE unit weightage and question paper design, see our Class 12 maths tutor page.

The jump from ICSE Class 10 to ISC Class 11

Students arriving from ICSE Class 10 usually have two big strengths: they are used to writing full working, and they are used to long papers. Those habits carry straight into ISC. What catches them out is the change in the mathematics itself.

Abstraction arrives quickly

ICSE Class 10 maths is largely concrete: commercial mathematics, mensuration, geometry with diagrams. ISC Class 11 opens with sets, relations and functions, and soon adds complex numbers. Students need to get comfortable with notation and definitions, not only procedures.

Trigonometry grows enormously

Class 10 trigonometry is mainly identities and heights and distances. Class 11 adds radian measure, trigonometric functions and their graphs, and compound-angle and multiple-angle identities. Fluency here affects calculus a year later.

Algebra has to be automatic

Factorising, handling indices and rearranging expressions are no longer the question; they are the tools used inside every question. Students who still hesitate over algebra in Class 11 find every topic slower.

The pace is higher

Class 11 covers a great deal in one year, and schools rarely slow down. A gap left in July is still there in February, and in Class 12.

The months after Class 10 boards are the easiest time to prepare. A few weeks on algebraic fluency, the basics of functions and early trigonometry make the first term of Class 11 far easier. Families still in ICSE Class 10 in Gurugram can see our ICSE maths tutor in Gurgaon page; the same advice applies anywhere.

Some students join ISC from CBSE, IGCSE or IB schools. They face the same jump, plus the ISC style of setting out working. A tutor who has taught those courses can map the gaps quickly; see our IGCSE maths tutor and IB maths tutor pages for those courses.

ISC maths and JEE

Many ISC science students also prepare for JEE, and the overlap is large. Most of what the ISC syllabus covers also appears in JEE Main maths: in Class 11, complex numbers, quadratic equations, permutations and combinations, the binomial theorem, sequences and series, straight lines, circles and conics; in Class 12, functions, matrices and determinants, calculus, vectors, three-dimensional geometry and probability.

The change for 2027 helps JEE students. Vectors and three-dimensional geometry are now compulsory in ISC, so no ISC science student skips them because their school chose the other section.

The difference is in the style of question. ISC rewards complete, well-presented working on questions that are usually direct applications of the syllabus. JEE rewards speed and the ability to combine ideas from several chapters, with no credit for working. A student preparing for both needs:

  • One set of concepts, two kinds of practice. Learn each chapter once, properly, then practise it both ways: written, board-style solutions, and timed objective problems.
  • Protected board time. In Class 12, the months before the ISC examination should be about ISC papers and presentation, even for committed JEE students. Board marks matter for many admissions.
  • A tutor who is honest about the difference. An ISC tutor is not automatically a JEE coach, and the reverse is also true. Say which you need, or whether you need both.

JEE planning usually involves physics and chemistry too; our JEE physics tutor page explains how we approach entrance preparation alongside the boards. Always check the current JEE syllabus published by the conducting body, since it changes independently of ISC.

A term-by-term plan for ISC Classes 11 and 12

Schools order chapters differently, so a tutor follows the school's sequence and fills in around it. This is the shape that works for most ISC maths students:

Typical ISC maths plan with a tutor
PeriodFocusSessions a week
Class 11, first termSets, relations and functions; trigonometry; start of algebra. Secure algebraic fluency early2
Class 11, second termComplex numbers, quadratics, permutations and combinations, binomial theorem, sequences and series; coordinate geometry and conics2
Class 11, final termLimits and derivatives, statistics and probability; Class 11 projects; school final examination revision2 to 3
Summer before Class 12Repair Class 11 gaps, especially trigonometry and functions; preview continuity and differentiation2
Class 12, first termRelations and functions, inverse trigonometric functions, matrices and determinants; start calculus2
Class 12, second termCalculus in depth: differentiation, applications, integration, area, differential equations; vectors and 3D geometry; projects2 to 3
Pre-boards onwardsLinear programming, probability, full timed papers, internal-choice practice, error review, project viva rehearsal3

Two things tend to go wrong. Class 11 is treated as a light year, and the calculus foundation is missing when Class 12 starts. And the projects are left to the last fortnight, when they compete with pre-board revision. Both are easy to prevent if the plan is made in April rather than December.

Students who start with a tutor late in Class 12 can still improve a great deal. The usual order is to secure calculus first, because it carries the most marks, then the shorter units that reward direct practice, such as matrices, linear programming and probability.

Working and presentation: where ISC marks are kept

ISC maths gives marks for method. A correct final answer with no working can lose most of the marks for a question, and a wrong answer with sound working can keep many of them. When I review an ISC student's written work, these are the habits I look for first:

State what you are using

Name the method or result: "Using the product rule", "By Bayes' theorem", "Applying the property of definite integrals". It tells the examiner the method is sound even if an arithmetic step slips.

Define before you calculate

In probability, name the events. In linear programming, define the variables and write the constraints before drawing anything. In 3D geometry, write the direction ratios before using them.

Draw what can be drawn

Area questions need a sketch of the curves and the region. Linear programming needs a clear graph with the feasible region marked. A neat diagram often earns marks and prevents errors.

Finish the question

Give the constant of integration, state the domain where asked, write the final answer in the form requested, and in word problems answer the question in a sentence with units.

Rough work belongs next to the answer, not on a separate sheet. None of this is complicated, but it only becomes automatic if someone reads every line the student writes, every week, and corrects the layout as well as the mathematics.

How to choose an ISC maths tutor

A strong general maths tutor is not automatically a good ISC maths tutor. These are the questions worth asking before and during the demo class:

  • Do they teach ISC now? The 2027 changes mean a tutor working from memory of the old Section B and C paper can plan the year wrongly. Ask how they are handling the new syllabus.
  • Do they work from the CISCE syllabus? Since there is no single ISC textbook, a good tutor knows the syllabus boundaries and works around the student's school book.
  • Do they mark working, not just answers? In the demo, watch whether the tutor reads the student's written steps and corrects the setting out.
  • Can they support the projects properly? Helping a student choose a topic and prepare for the viva is valuable; doing the project for them is not.
  • Are they clear about JEE? If your child is preparing for JEE, ask whether the tutor covers both, and how they would balance the two.
  • Does the student understand them? The most useful check of all. After the demo, ask your child whether the explanation made sense and whether they would be comfortable asking a question they felt silly about.

For students in lower classes or on other boards, our maths home tutor page covers maths tuition more broadly.

Home or online ISC maths tuition, anywhere in India

ISC schools are spread across India, with large numbers of ISC students in cities such as Kolkata, Lucknow, Delhi NCR, Mumbai, Bengaluru and Dehradun, and in many smaller towns. Experienced ISC maths tutors are not evenly spread, which is why families choose between home and online tuition differently depending on where they live.

Home tuition

The tutor sits beside the student and corrects written working as it happens, which suits ISC maths well. It works well where there is a good ISC tutor within reasonable travel time, which is more common in cities with many ISC schools.

Online tuition

Online widens the choice to ISC specialists anywhere in India and saves travel time in the busy Class 12 year. It works well when the student's notebook is on camera or the student uses a writing tablet, so the tutor can see every line.

Hybrid

Many families combine the two: one home session for written work and one online session for doubts or timed practice. With the same tutor for both, nothing gets lost between sessions.

Whichever you choose, the essentials are the same: the tutor knows the current ISC syllabus, sees the student's written working and sets work between sessions.

Fees and getting started

Across NXTutors, most home-tuition sessions fall between ₹800 and ₹2,500 an hour; Classes 11–12, IB/IGCSE and JEE/NEET sit toward the upper end; specialists for IB HL or JEE Advanced can charge more. ISC maths, especially Class 12 board preparation, generally sits in the upper part of that range. The fee also depends on the tutor's experience, whether sessions are at home or online, travel time and how many sessions a week you take. You see each tutor's fee before the demo, and our pricing guide explains more.

Two sessions a week is typical through most of Classes 11 and 12, rising to three from the pre-boards. A student who is already secure may need only one, focused on papers and presentation.

Tell us the class, the exam year, whether your child takes Mathematics or Applied Mathematics, the topics causing trouble, whether JEE is also a goal, your city and the slots that suit you. We shortlist two or three matched ISC maths tutors, you pick one for a free demo class, and switching later is free. Tutors who join go through an ID check, and the Verified badge appears only after our team has reviewed the ID. For more on maths boards and exams, browse our blog.

ISC Maths Tutors for Class 11 & 12: common questions

How much does an ISC maths tutor charge in India?

Across NXTutors, most home-tuition sessions fall between ₹800 and ₹2,500 an hour; Classes 11–12, IB/IGCSE and JEE/NEET sit toward the upper end; specialists for IB HL or JEE Advanced can charge more. ISC maths, especially Class 12 board preparation, generally sits in the upper part of that range. Experience, home or online, travel and sessions a week also move the fee; you see each fee before the free demo.

How do I find an ISC maths tutor through NXTutors, at home or online?

To find an ISC maths tutor through NXTutors, at home or online anywhere in India, tell us the class, exam year and whether it is Mathematics or Applied Mathematics. Add weak topics, any JEE goal, city and slots. We shortlist two or three matched tutors, each fee shown first. The first class is a free demo, and switching tutor later is free.

Is there still a Section B or Section C choice in ISC Class 12 maths?

No, ISC Class 12 Mathematics (860) has no Section B or Section C choice from the 2027 examination. The 2027 and 2028 syllabuses list seven compulsory units, so vectors, three-dimensional geometry and linear programming are studied by every student. Students wanting a commerce-oriented course take Applied Mathematics (885) instead.

How are marks divided in ISC Class 12 maths for 2027?

ISC Class 12 maths for 2027 has an 80-mark, three-hour theory paper plus 20 marks of project work. Theory marks are Relations and Functions 10, Algebra 10, Calculus 35, Vector Algebra 5, Three-dimensional Geometry 6, Linear Programming 5 and Probability 9. Calculus is almost half the paper.

Which units carry the most marks in ISC Class 11 maths?

In ISC Class 11 maths, Algebra carries the most marks at 26, then Coordinate Geometry at 20 and Sets and Functions, including trigonometry, at 18. Calculus and Statistics and Probability carry 8 each. The school conducts the Class 11 final examination, and adds 20 marks of project work.

How is the ISC maths project marked, and how can a tutor help?

Each ISC maths project is marked out of 10: format 1, content 4, findings 2 and a viva 3, across two projects a year. The Visiting Examiner alone conducts the viva, so the student must explain their own work. A tutor helps choose a manageable topic, checks the mathematics and rehearses viva questions.

Are calculators allowed in the ISC maths exam?

The current ISC regulations allow the Casio fx-82 MS scientific calculator, similar calculators of other makes, or basic calculators in the maths exam. Calculators that store and retrieve information are not allowed. ISC marks come from method, so students must still show working; check the regulations for your exam year.

Is ISC Class 12 maths harder than CBSE Class 12 maths?

ISC Class 12 maths now overlaps heavily with CBSE, and calculus carries 35 of 80 theory marks on both boards. ISC papers have longer multi-part questions and strict marking of working, there is no single national textbook, and the other 20 marks come from two projects with a viva instead of periodic tests.

What makes the jump from ICSE Class 10 to ISC Class 11 maths hard?

The jump from ICSE Class 10 to ISC Class 11 maths is hard because abstraction arrives quickly with sets, relations, functions and complex numbers. Trigonometry grows into radian measure, graphs and compound-angle identities, algebra must be automatic, and the pace is higher. A few weeks after the Class 10 boards make the first term easier.

Can an ISC maths tutor prepare my child for JEE as well?

Many ISC maths tutors can prepare a student for JEE too, because most of the ISC syllabus also appears in JEE Main maths. JEE needs fast objective problem-solving, while ISC rewards full written working. Tell us if JEE is a goal, and we shortlist tutors who can plan both, with board time protected before the ISC exam.

Should we choose a home tutor or online classes for ISC maths?

A home tutor suits ISC maths where a good ISC tutor lives within reasonable travel time, because they correct written working as it happens. Online classes widen the choice to ISC specialists anywhere in India and save travel in Class 12. Many families combine one home and one online session with the same tutor.

Who wrote this guide

Ajay Vatsyayan

Ajay Vatsyayan

Maths tutor · IB, IGCSE and ISC specialist
  • TutorTeaches on NXTutors

Ajay Vatsyayan teaches maths on NXTutors and specialises in the international and senior boards: IB Diploma Mathematics (Analysis and Approaches and Applications and Inte...

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