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Class 12 Maths Syllabus, Weightage, and Important Questions

This page covers the Class 12 Maths syllabus for the 2026-27 CBSE boards — relations and functions, algebra, calculus, vectors and 3D geometry, linear programming, and probability — with unit weightage, notes, important questions, and step-marked practice. It is for students targeting 90-plus and JEE aspirants alike.

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Calculus alone carries 35 of the 80 theory marks, so the paper is effectively decided there first. Twenty internal marks complete the 100, roughly half the theory paper is competency-based, and the same 13 chapters form the JEE mathematics syllabus at greater depth.

OmniTutor maps every chapter to derivation-style whiteboard videos, adaptive practice from NCERT-accuracy to JEE depth, and recovery quizzes targeting the exact step where a solution broke. Timed mocks and the countdown plan build board rhythm without abandoning JEE speed.

What is the Class 12 Maths syllabus for 2026-27?

Thirteen chapters: relations and functions, inverse trigonometric functions, matrices, determinants, continuity and differentiability, application of derivatives, integrals, application of integrals, differential equations, vector algebra, three-dimensional geometry, linear programming, and probability — taught from the rationalised NCERT and examined in one 80-mark paper.

Twenty internal marks complete the 100, and roughly half the theory paper is competency-based — case-study items wrapped around derivatives, probability, or LPP contexts. JEE Main aspirants get direct reuse: the same 13 chapters are the JEE mathematics syllabus with more depth.

Why does calculus dominate the Class 12 Maths paper?

Calculus carries 35 of 80 marks — continuity and differentiability, applications of derivatives, integrals, application of integrals, and differential equations. No other unit comes close; a student strong in calculus walks in with nearly half the paper banked and one weak in it cannot cross 60.

The recurring forms: checking continuity of piecewise functions, chain-rule differentiation including logarithmic and inverse-trig forms, maxima-minima and tangent-normal problems, definite integral properties, area under curves, and variable-separable plus linear differential equations. Drill them as archetypes, not as a reading list.

Class 12 maths syllabus and calculus practice on OmniTutor

What is the unit-wise weightage for Class 12 Maths?

After calculus: vectors and three-dimensional geometry carry 14, algebra (matrices and determinants) 10, relations and functions 8, probability 8, and linear programming 5. The table below shows the split, indicative for the 2026-27 boards — verify against the year’s official syllabus.

Planning read: LPP is five near-guaranteed marks for two hours of graph practice; probability’s eight marks hide Bayes theorem and distribution questions that punish casual study. Weightage is a priority signal, not a deletion list — every unit questions every year.

Which are the most important questions in Class 12 Maths?

Bankable archetypes: proving a function invertible, ITF principal-value questions, solving systems by matrix method, determinant properties, continuity and differentiability proofs, maxima-minima word problems, definite integrals by substitution and properties, area between curves, linear first-order differential equations, shortest distance between lines, and Bayes theorem.

Previous years’ papers plus NCERT exemplar cover this list almost exhaustively. Practise writing complete solutions — boards award method marks step by step, and a correct answer with no working forfeits most of them, even when the final value is right.

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Is Class 12 Maths harder than Class 11?

Most students find Class 12 easier to score in: calculus is systematic, and the paper pattern rewards practiced archetypes, while Class 11 demanded new ways of thinking. The catch is volume — 13 chapters at board depth plus practicals plus competitive prep leaves little slack for backlog.

Class 11 gaps do surface — mainly in functions, trigonometry, and coordinate geometry that calculus assumes fluent. A September week spent patching those foundations pays for itself twice over by February, when mock papers start counting and there is no time left for repairs.

How does OmniTutor help with Class 12 Maths?

Chapter videos derive rather than state — a definite integral built on the whiteboard, a 3D line traced to the shortest-distance formula — and practice runs from NCERT-accuracy to JEE depth on the same chapter. Wrong answers schedule recovery on the exact step: a misapplied chain rule, a sign in a definite integral bound.

Timed section tests and 80-mark mocks run in exam-room mode with delayed scoring; results feed the countdown plan, which rebalances weekly toward whatever the mocks expose. Board answer-writing and JEE speed live on one calendar instead of two competing timetables.

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Learners

They kept going. It shows.

★★★★★

Definite integral properties finally clicked when the video derived each one on the whiteboard instead of tabulating them. Calculus is now my strongest unit going into boards.
NandiniClass 12 student, KochiCBSE Class 12

★★★★★

Step-marked feedback showed I was skipping the statement of formulas and losing a mark per question. Twenty questions later the habit was gone and pre-board maths hit 96.
OmClass 12 student, DelhiCBSE Class 12

★★★★★

Doing boards and JEE maths on one plan saved my January. The same chapter got board-style written practice and timed JEE sets, and both scores moved together.
IshaanClass 12 student, ChandigarhCBSE Class 12

Questions

Asked before you did.

For the core, yes — most theory questions are NCERT exercises or near variants, and exemplar adds the stretch layer. Add five years of previous papers for pattern and pacing. Reference books help JEE-level depth, which boards do not require, only reward at the margins.

No. Calculators are not permitted in CBSE board mathematics, which is why the paper is engineered for clean numbers. Train accordingly: arithmetic fluency, sensible approximations in checking, and zero dependence on a calculator during practice months, because habits formed with one fail without one.

None — every unit questions every year and the choice system does not guarantee your skipped chapter stays optional. If time forces triage, master linear programming and probability quickly (13 combined marks, formula-driven) and never sacrifice calculus, which is 35 marks on its own.

NCERT plus exemplar fully solved, ten years of previous papers, and disciplined presentation: formulas stated, steps in order, figures drawn. Ninety-plus lives in method marks and silly-error control, so keep an error log and review it before every mock — patterns repeat embarrassingly often.

Six to seven hours weekly through the year, front-loaded on calculus, plus one timed paper a week from December. JEE aspirants should count board practice inside their maths budget, not as extra — the syllabus is one, only the formats differ.

Periodic tests, mathematics activities or projects, and portfolio work assessed by the school across the year. They are the most controllable marks in the subject and a common casualty of last-minute scrambling; treat each periodic test as a board paper.

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