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CBSE Class 12 · Route to 95

The Route to 95: Class 12

To score 95 in Class 12 Maths you can lose at most 5 of the 100 marks (80 for the board paper, 20 for internal assessment). That comes from two habits: no careless slips in the 1- to 3-mark questions, and complete, step-by-step long answers. Start with Calculus (35 marks) and Vectors and Three-Dimensional Geometry (14).

A clear plan to the board exam: every chapter in four steps, each ending in a short checkpoint, then timed sample papers. This page shows the plan, and your own progress once you sign in.

Track your route

Sign in (free) and every checkpoint you pass shows here, chapter by chapter.

Your progress

Checkpoint results by chapter and step.

92% passed (best score)60% tried, not yet passed· not started

The four steps in every chapter

The board paper has 38 questions, 80 marks, 3 hours: Section A 20 × 1 mark (18 multiple choice and 2 assertion–reason), B 5 × 2, C 6 × 3, D 4 × 5 and E three case studies × 4. Each step trains a part of it.

Step 1

Secure the basics

Section A: fast, accurate one-mark answers.

Step 2

Board standard

Sections B and C: every standard two- and three-mark question.

Step 3

Full marks on long answers

Sections D and E: complete five-mark answers and case studies.

Step 4

95+ stretch

The internal-choice and higher-order items that separate 95 from 90. Optional until the chapter's step 3 checkpoint is passed.

Move on when the checkpoint is passed (80%). A checkpoint missed twice in a row means going back one step.

A plan from April to the board exam

About 154 hours of chapter work in all.

  • Weeks 1 to 26 (April to September): chapters 1 to 9, 8 to 9 hours a week, so that Calculus is finished (steps 1 to 3) by the end of September.
  • Weeks 27 to 32 (October to mid-November): chapters 10 to 13, and step 4 on the Calculus chapters.
  • Weeks 33 to 38 (mid-November to December): step 4 on everything else, mixed practice and one timed sample paper every two weeks. School pre-boards.
  • Weeks 39 to 46 (January to February): one full timed sample paper a week (two in the final three weeks), each followed by redoing every lost mark against the chapter's "where marks are lost" list.

Starting in October (about 20 weeks)? Calculus steps 1 to 3 first (10 weeks at 10 hours a week), then Vectors and 3D Geometry, Probability and Algebra steps 1 to 3, then five weeks of sample papers.

For the final month: the last 30 days and a revision timetable. On the day: how answers are step-marked. More in the Class 12 exam strategy guides.

For the timed papers: CBSE's own sample paper (on our Class 12 question papers page) and our 5 sample papers on the 2026-27 pattern, each with a 3-hour timer and a step-marking scheme.

The weekly rhythm

DayWhatResult
1 to 2Learn: read the notes section named on the step, then do the step's questions in order.Step questions done
3Checkpoint: the 3 or 4 checkpoint questions, closed book, about 1.5 minutes per mark.Pass at 80%, or redo the weakest questions and retry in 2 days
4 to 5Next step of the same chapter, or the next chapter.
6Mixed practice: 30 to 45 minutes of step 2 and 3 questions from chapters finished 2 to 6 weeks ago.Old chapters stay secure
7Timed practice: one board-style section until October, then a full 3-hour sample paper every two weeks, weekly from December.A scored paper

The Sunday paper lands just before the parent report goes out on Sunday evening.

What "on track for 95+" means

The parent dashboard shows an estimated score range, worked out from timed sample-paper scores and chapter mastery: 60% from the average of the last five scored papers and 40% from mastery. The range is ± 4 marks with three or more scored papers, ± 7 with one or two, and ± 10 from mastery alone.

It says "on track for 95+" only when the low end of the range is 95 or more, which needs three or more scored papers and a centre of at least 98.5. "Within reach of 95+" means the high end is 95 or more. It is deliberately cautious: an estimate, never a promise.

Red flags for a parent: a chapter slipping back from "secure", two missed checkpoints in a row in the same chapter, more than ten days without scored practice, or sample-paper marks lost mainly in Sections A and B (careless slips, fixed with the mark-loss lists) rather than D and E.

What steps 3 and 4 ask, chapter by chapter

Each chapter's last two steps (full marks on long answers, then the 95+ stretch) and what you can do once their checkpoints are passed.

  • Relations and Functions: step 3, write the 5-mark relation and function proofs in full, with a heading and reason for each property and counter-examples where needed; step 4, handle bijection proofs on restricted domains, tricky counting of relations and the hardest assertion-reason items.
  • Inverse Trigonometric Functions: step 3, write complete multi-part answers (the case studies, the 5-mark simplification and the multi-part domain questions), stating the branch you use at each step; step 4, handle radian inputs like sin⁻¹(sin 3), substitution-based simplifications and justifying the signs when you write sin θ and cos θ in terms of x.
  • Matrices: step 3, write complete, step-marked solutions to 5-mark and case-based matrix questions, including context problems; step 4, solve unfamiliar matrix problems: matrix equations with unknown entries, nilpotent/idempotent reasoning and pattern arguments for powers.
  • Determinants: step 3, score full marks on the 5-mark matrix-method question and on determinant case studies, with every step mark visible; step 4, handle parameter systems (unique / none / infinitely many), adj-inverse identities and unfamiliar applications.
  • Continuity and Differentiability: step 3, write long answers and case studies in full, especially 'prove that' second-derivative questions and xˣ-type derivatives; step 4, handle piecewise functions with two unknowns, |x| and greatest-integer functions and max/min-defined functions.
  • Application of Derivatives: step 3, write full-marks optimisation and case-study answers: function set up, derivative, test, and the value that was asked for; step 4, handle monotonicity with parameters or trig functions and the harder optimisation problems.
  • Integrals: step 3, write complete long answers on definite integrals, including the property questions, with each step and the property named; step 4, handle the hardest property-based integrals and the tricky substitutions that decide 95+.
  • Application of Integrals: step 3, write full-marks 5-mark area answers and case studies: sketch, shading, limits, integral and sq units; step 4, handle regions that need two integrals, parts of circles and ellipses and area questions where symmetry is only partial.
  • Differential Equations: step 3, write complete long answers and case studies, including setting up a differential equation from a real situation; step 4, handle equations that are linear in x, mixed-method problems and modelling questions that need interpretation.
  • Vector Algebra: step 3, write complete multi-step vector solutions (triangle and parallelogram problems, case studies with forces or displacements); step 4, work with vectors given only by magnitudes and angles, minimisation and perpendicular-component arguments.
  • Three Dimensional Geometry: step 3, score full marks on 5-mark shortest-distance, intersection and foot-of-perpendicular/image questions and on 3-D case studies; step 4, solve common-perpendicular, image-of-a-point and multi-part triangle problems in 3-D.
  • Linear Programming: step 3, write full-mark 5-mark LPP answers from a word problem: formulation, labelled graph, corner-point table and conclusion; step 4, handle parameters in the objective function, multiple optimal solutions and existence questions for unbounded regions.
  • Probability: step 3, write complete 5-mark Bayes and random-variable answers (events defined, tree/table, formula, conclusion) and handle probability case studies; step 4, handle proofs about conditional probability and independence, sequential evidence in Bayes, and distributions built from without-replacement experiments.

What's free

How do I score 95 in CBSE Class 12 Maths?

Lose no more than 5 of the 100 marks. Learn every chapter to board standard, then spend the last three months on timed sample papers, redoing every mark you lose. At this level the marks you cannot afford are the small ones: an arithmetic slip in a short answer, or a step left out of a long one.

Which Class 12 Maths chapters matter most for 95?

All of them, because 95 leaves almost no room. Start with the heaviest units: Calculus (35 marks), Vectors and Three-Dimensional Geometry (14 marks), Algebra (10 marks) of the 80-mark paper.

How many hours does the Route to 95 take?

About 154 hours of chapter work over the year by our estimate, plus timed sample papers. Starting late? The plan on this page has a shorter version from October.

When should I start sample papers?

Once most chapters are done: one full 3-hour paper every two weeks in November, then one a week from December, each marked straight after against the step-marking scheme.

Chapter order and hours

ChChapterUnit (marks / 80)Hours
1Relations and FunctionsRelations and Functions (8)12
2Inverse Trigonometric FunctionsRelations and Functions (8)10
3MatricesAlgebra (10)7
4DeterminantsAlgebra (10)8
5Continuity and DifferentiabilityCalculus (35)20
6Application of DerivativesCalculus (35)16
7IntegralsCalculus (35)28
8Application of IntegralsCalculus (35)12
9Differential EquationsCalculus (35)16
10Vector AlgebraVectors and Three-Dimensional Geometry (14)7
11Three Dimensional GeometryVectors and Three-Dimensional Geometry (14)7
12Linear ProgrammingLinear Programming (5)4
13ProbabilityProbability (8)7