Pankaj Kandpal
Almora
Teaches Maths
- Classes
- 1–12
- Experience
- 14+ yrs
- Fee
- ₹500/hr
ISC maths tutors who know the CISCE syllabus, the sections and the marking, at home or online.
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Teaches Maths
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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 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.
| Component | Class 11 | Class 12 |
|---|---|---|
| Paper I: theory | 3 hours, 80 marks, school examination | 3 hours, 80 marks, ISC board examination |
| Paper II: project work | 20 marks (two projects) | 20 marks (two projects) |
| Who assesses the project | Subject teacher and a Visiting Examiner | Subject 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.
Class 11 is where ISC maths gets serious. The CISCE syllabus for Class 11 spreads the 80 theory marks across five units:
| Unit | Main topics | Marks |
|---|---|---|
| Sets and Functions | Sets; relations and functions; trigonometry | 18 |
| Algebra | Complex numbers; quadratic equations; permutations and combinations; binomial theorem; sequences and series | 26 |
| Coordinate Geometry | Straight lines; circles; conic sections (parabola, ellipse, hyperbola); introduction to three-dimensional geometry | 20 |
| Calculus | Limits and derivatives | 8 |
| Statistics and Probability | Statistics; probability | 8 |
| Theory total | 80 |
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.
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:
| Unit | Main topics | Marks |
|---|---|---|
| Relations and Functions | Types of relations; one-one and onto functions; composite and inverse functions; inverse trigonometric functions | 10 |
| Algebra | Matrices and determinants, including solving systems of linear equations with the inverse of a matrix | 10 |
| Calculus | Continuity and differentiability; applications of derivatives; integrals; area under curves; differential equations | 35 |
| Vector Algebra | Vectors, scalar and vector products, projections | 5 |
| Three-dimensional Geometry | Lines and planes in vector and Cartesian form; angles and distances | 6 |
| Linear Programming | Formulating problems; graphical solution in two variables | 5 |
| Probability | Conditional probability; multiplication theorem; total probability; Bayes' theorem; random variables, their distributions and mean | 9 |
| Theory total | 80 | |
| Project work | Two projects of 10 marks each | 20 |
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.
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:
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.
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:
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.
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:
| Criterion | Marks | Who assesses it |
|---|---|---|
| Overall format | 1 | Subject teacher and Visiting Examiner |
| Content | 4 | Subject teacher and Visiting Examiner |
| Findings | 2 | Subject teacher and Visiting Examiner |
| Viva-voce based on the project | 3 | Visiting Examiner only |
| Total per project | 10 |
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.
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:
| Feature | ISC | CBSE |
|---|---|---|
| Theory paper | 80 marks, 3 hours | 80 marks, 3 hours |
| Other 20 marks | Two projects, including a viva with a Visiting Examiner | Internal assessment: periodic tests and mathematics activities |
| Calculus | 35 marks | 35 marks |
| Vectors and 3D geometry | 11 marks | 14 marks |
| Probability | 9 marks | 8 marks |
| Textbooks | Schools choose books written to the CISCE syllabus | NCERT textbooks |
| Question style | Longer, multi-part questions; method and working heavily rewarded | Published 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.
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.
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.
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.
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.
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.
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:
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.
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:
| Period | Focus | Sessions a week |
|---|---|---|
| Class 11, first term | Sets, relations and functions; trigonometry; start of algebra. Secure algebraic fluency early | 2 |
| Class 11, second term | Complex numbers, quadratics, permutations and combinations, binomial theorem, sequences and series; coordinate geometry and conics | 2 |
| Class 11, final term | Limits and derivatives, statistics and probability; Class 11 projects; school final examination revision | 2 to 3 |
| Summer before Class 12 | Repair Class 11 gaps, especially trigonometry and functions; preview continuity and differentiation | 2 |
| Class 12, first term | Relations and functions, inverse trigonometric functions, matrices and determinants; start calculus | 2 |
| Class 12, second term | Calculus in depth: differentiation, applications, integration, area, differential equations; vectors and 3D geometry; projects | 2 to 3 |
| Pre-boards onwards | Linear programming, probability, full timed papers, internal-choice practice, error review, project viva rehearsal | 3 |
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.
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:
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.
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.
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.
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.
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:
For students in lower classes or on other boards, our maths home tutor page covers maths tuition more broadly.
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.
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 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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
Tell us the class, board and your area. We share two or three matched tutors, and the first class is a free demo.