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CBSE Class 10 · Mathematics Standard (041) and Basic (241)

CBSE Class 10 Maths revision, chapter by chapter

Revision notes, original board-style questions with the step marks shown, and a four-step Route to 95 for every chapter. In the 80-mark board paper, Algebra carries 20 marks and Geometry 15, so those chapters repay revision first.

  • 14 of 14 chapters ready
  • 625 questions, each checked twice
  • Board paper: 80 marks, 3 hours, sections A to E

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Statistics · Section C style · 3 marks

Find the median of the distribution: 0–10: 5, 10–20: 8, 20–30: 12, 30–40: 10, 40–50: 5.

Worked answer

Answer: 1556≈25.83

n=40, n2=20; cumulative frequencies 5,13,25,35,40, so the median class is 20–30 M1
Median =l+n2−cff×h=20+20−1312×10 A1
=20+356=1556≈25.83 A1

More Statistics important questions →

Every Class 10 formula on one page: CBSE Class 10 Maths formula sheet (free PDF) · Three questions a day: CBSE Class 10 Maths Question of the Day

Class 10 formulas, one page each with the CBSE chapter, worked examples and the common mistakes: Arc length · Area of a circle · Area of a sector · Distance formula · Midpoint formula · nth term of an AP · Quadratic formula · Sum of n terms of an AP · Trig identities · Volume of a cone · Volume of a cylinder · Volume of a sphere · Section formula · all formulas A–Z

Before the board exam: step marking: how to set out answers so no mark slips · CBSE board exam dates

Chapters

In NCERT order, the order most schools teach. Every chapter has notes, practice by step, four checkpoints and the places marks are usually lost. Each card counts its questions by marks (as in sections A to E of the paper) and by difficulty, from 1 (easy) to 4 (HOTS).

Chapter 1 · Number SystemsReal Numbers40 questions · 4 route steps · about 8 hoursCovers: The Fundamental Theorem of Arithmetic (FTA); HCF and LCM by prime factorisation; Word problems; Irrational numbers1 mark: 15 · 2 marks: 9 · 3 marks: 8 · 4 marks: 3 · 5 marks: 5Difficulty 1: 8 · 2: 21 · 3: 9 · 4: 2Chapter 2 · AlgebraPolynomials41 questions · 4 route steps · about 8 hoursCovers: Basics; Geometrical meaning of zeroes; Zeroes and coefficients (quadratic ax² + bx + c); Forming a quadratic polynomial1 mark: 16 · 2 marks: 9 · 3 marks: 8 · 4 marks: 3 · 5 marks: 5Difficulty 1: 9 · 2: 18 · 3: 12 · 4: 2Chapter 3 · AlgebraPair of Linear Equations in Two Variables51 questions · 4 route steps · about 12 hoursCovers: General form and graphs; Number of solutions (consistency); Graphical method; Algebraic methods1 mark: 17 · 2 marks: 12 · 3 marks: 13 · 4 marks: 3 · 5 marks: 6Difficulty 1: 14 · 2: 25 · 3: 10 · 4: 2Chapter 4 · AlgebraQuadratic Equations49 questions · 4 route steps · about 12 hoursCovers: Standard form; Solving by factorisation (splitting the middle term); Quadratic formula; Nature of roots; Situational problems1 mark: 19 · 2 marks: 11 · 3 marks: 10 · 4 marks: 3 · 5 marks: 6Difficulty 1: 14 · 2: 25 · 3: 9 · 4: 1Chapter 5 · AlgebraArithmetic Progressions44 questions · 4 route steps · about 12 hoursCovers: Definition; General (nth) term; Sum of first n terms; Choosing terms1 mark: 16 · 2 marks: 10 · 3 marks: 10 · 4 marks: 3 · 5 marks: 5Difficulty 1: 12 · 2: 21 · 3: 9 · 4: 2Chapter 6 · GeometryTriangles46 questions · 4 route steps · about 14 hoursCovers: Similar figures; Basic Proportionality Theorem (BPT / Thales); Criteria for similarity of triangles; Useful consequences1 mark: 17 · 2 marks: 11 · 3 marks: 9 · 4 marks: 3 · 5 marks: 6Difficulty 1: 16 · 2: 20 · 3: 8 · 4: 2Chapter 7 · Coordinate GeometryCoordinate Geometry40 questions · 4 route steps · about 9 hoursCovers: Distance formula; Section formula (internal division); Mid-point formula; Identifying shapes1 mark: 15 · 2 marks: 8 · 3 marks: 9 · 4 marks: 3 · 5 marks: 5Difficulty 1: 11 · 2: 19 · 3: 8 · 4: 2Chapter 8 · TrigonometryIntroduction to Trigonometry38 questions · 4 route steps · about 12 hoursCovers: Trigonometric ratios; Ratios of specific angles; Trigonometric identities1 mark: 14 · 2 marks: 8 · 3 marks: 8 · 4 marks: 3 · 5 marks: 5Difficulty 1: 6 · 2: 21 · 3: 9 · 4: 2Chapter 9 · TrigonometrySome Applications of Trigonometry45 questions · 4 route steps · about 10 hoursCovers: Key terms; Standard method1 mark: 15 · 2 marks: 10 · 3 marks: 10 · 4 marks: 4 · 5 marks: 6Difficulty 1: 11 · 2: 21 · 3: 12 · 4: 1Chapter 10 · GeometryCircles54 questions · 4 route steps · about 10 hoursCovers: Tangent and secant; Two key theorems (proofs can be asked); Standard consequences1 mark: 23 · 2 marks: 12 · 3 marks: 11 · 4 marks: 3 · 5 marks: 5Difficulty 1: 13 · 2: 29 · 3: 11 · 4: 1Chapter 11 · MensurationAreas Related to Circles37 questions · 4 route steps · about 9 hoursCovers: Basic results (circle of radius r); Handy facts1 mark: 13 · 2 marks: 8 · 3 marks: 8 · 4 marks: 3 · 5 marks: 5Difficulty 1: 12 · 2: 16 · 3: 8 · 4: 1Chapter 12 · MensurationSurface Areas and Volumes46 questions · 4 route steps · about 11 hoursCovers: Formulae (radius r, height h, slant height l); Combinations of solids1 mark: 16 · 2 marks: 10 · 3 marks: 11 · 4 marks: 3 · 5 marks: 6Difficulty 1: 12 · 2: 22 · 3: 11 · 4: 1Chapter 13 · Statistics and ProbabilityStatistics41 questions · 4 route steps · about 12 hoursCovers: Mean of grouped data; Mode of grouped data; Median of grouped data; Empirical relationship1 mark: 15 · 2 marks: 9 · 3 marks: 9 · 4 marks: 3 · 5 marks: 5Difficulty 1: 11 · 2: 21 · 3: 7 · 4: 2Chapter 14 · Statistics and ProbabilityProbability53 questions · 4 route steps · about 8 hoursCovers: Theoretical (classical) probability; Standard sample spaces1 mark: 20 · 2 marks: 12 · 3 marks: 12 · 4 marks: 3 · 5 marks: 6Difficulty 1: 17 · 2: 25 · 3: 10 · 4: 1

Each chapter on one page: Class 10 knowledge organisers (key facts, formulas, mistakes to avoid). Section E practice: Class 10 case study questions, chapter-wise. Exam technique: competency-based questions · theorems and proofs · the last 30 days. Where you stand: Class 10 baseline test · 12-day pre-board revision plan · 4-week pre-board plan.

Where the 80 marks come from

CBSE publishes marks by unit, not by chapter (curriculum 2025-26, unchanged for 2026-27). The other 20 marks are internal assessment.

Every topic in every chapter, to tick off as you go: CBSE Class 10 Maths syllabus 2026-27 checklist (printable).

Examiner Insights: common mistakes in CBSE Class 10 Maths, with fixes (our analysis of public sources) →

Exam season: 12-day pre-board revision plan · Final exam countdown · Results day: what next? · All exam-season plans

How each chapter works

Step 1

Secure the basics

The one-mark questions of Section A: multiple choice and assertion–reason.

Step 2

Board standard

The two- and three-mark questions of Sections B and C.

Step 3

Full marks on long answers

Five-mark answers and case studies (Sections D and E), written so no step mark slips.

Step 4

95+ stretch

The harder items that separate 95 from 90.

Each step ends in a 3 to 4 question checkpoint. Pass at 80% to move on; results are saved to your Route to 95 and to a linked parent's dashboard.

Beyond the syllabus: the maths olympiad route (IOQM to IMO) with original IOQM-level practice sets, and competition-style problems for Class 10.

Parents: create a free account · Got a class code? Join your teacher's class

Sample papers on the 2026-27 pattern

When the chapters are secure, sit full papers against the clock: 80 marks, 38 questions, sections A to E, with a step-marking scheme. Original papers written to the CBSE pattern by us, not official CBSE papers.

Before the exam: Class 10 exam strategy, on step marking, the last 30 days, competency-based questions and proofs.

Board exam 2027: Class 10 important questions, chapter-wise, ordered by the unit weightage so you revise the heaviest units first.

Section A practice: Class 10 assertion–reason questions, one for every chapter.

Done them all? Take a timed full mock, a new 80-mark paper in the board pattern each time, or a 30-mark timed test on one chapter (CBSE Pro or the free trial).

Sitting the board exam in 2027? You still choose Mathematics Basic or Standard: how to choose.

Sitting the board exam in 2028 or later? There will be one common paper plus an optional 25-mark Mathematics Advanced paper, with two practice papers (paper 1, paper 2). Thinking about the optional second board exam in May? How the two Class 10 board exams work.

What's free

What is free for Class 10 without signing in?

The revision notes for every chapter, the important questions on each chapter page (half with their worked answers open), the MCQ and case-study sets, and our sample papers.

What does a free account add?

A free account (no card) adds 5 more practice questions on every chapter with instant feedback, full worked answers on free questions, and marking schemes for our sample papers. Every question in the chapter banks with its marking scheme is part of CBSE Pro.