CBSE Class 10 Maths Revision Notes 2026-27 Chapter wise

CBSE Class 10 Maths Notes: CBSE Class 10 Maths is an 80-mark theory paper (plus 20 marks internal assessment) that tests your understanding across 7 units and 15 chapters. The 2026 board exam continues the trend of competency-based questions - meaning you'll be tested not just on formulas, but on how you apply them to real-world situations.

Many students make the mistake of solving hundreds of problems without having a solid conceptual foundation. Good chapter-wise Class 10 notes fix this. They help you understand why a formula works, not just what it is - and that's what CBSE Board examiners look for when giving step marks.

The CBSE Class 10 Maths syllabus for 2025-26 has no major changes from the previous year. All 15 chapters remain, with the same unit-wise marks distribution. Focus your energy on preparation, not on syllabus anxiety.

CBSE Class 10 Maths Notes Chapter wise 

These chapter-wise Mathematics Class 10 notes cover all 14 chapters as per the latest CBSE syllabus, helping students revise concepts quickly and effectively. Access structured summaries, key Class 10 Maths formulas, and important points for smarter board exam preparation.

CBSE Class 10 Maths Syllabus 2026-27

The syllabus has no major changes for 2026. Use this weightage table to prioritize your preparation - focus more time on high-mark units like Algebra and Geometry.

Chapter-Wise CBSE Class 10 Maths Notes 2026

Real Numbers

Fundamental concepts of number theory essential for the rest of mathematics. Euclid's Division Lemma allows us to express the relationship between dividend, divisor, quotient and remainder the basis of the HCF algorithm.

Euclid's Division LemmaFundamental Theorem of ArithmeticIrrational NumbersDecimal Expansions

Key Theorem

Every composite number can be expressed as a product of primes in a unique way (ignoring order). This is the Fundamental Theorem of Arithmetic.

Proof Example: Prove √2 is irrational. Assume √2 = p/q (coprime). Then 2q² = p², so p² is even → p is even → p = 2k → 2q² = 4k² → q² = 2k² → q is even. Contradiction: p and q are not coprime.

Do Check - Additional Practice Questions CBSE Class 10 

Polynomials

Polynomials form the algebraic backbone of Class 10. The key insight is the relationship between the zeros (roots) of a polynomial and its coefficients a relationship that simplifies solving many problems.

Must-Know Formulas

For quadratic ax² + bx + c:

Sum of zeros (α+β) = –b/a

Product of zeros (αβ) = c/a

Pair of Linear Equations in Two Variables

This chapter covers methods for solving simultaneous equations and understanding the geometric interpretation whether lines intersect, are parallel, or coincide determines the nature of solutions.

Consistency Conditions

For a₁x + b₁y + c₁ = 0 and a₂x + b₂y + c₂ = 0:

Unique solution: a₁/a₂ ≠ b₁/b₂

Infinite solutions: a₁/a₂ = b₁/b₂ = c₁/c₂

No solution: a₁/a₂ = b₁/b₂ ≠ c₁/c₂

Quadratic Equations

One of the highest-yield chapters for the board exam. Understanding the discriminant and the nature of roots is essential expect at least one 3-mark or 5-mark question directly from this chapter.

Quadratic Formula

x = [–b ± √(b²–4ac)] / 2a

Discriminant D = b²–4ac: 
D > 0 → 2 distinct real roots
D = 0 → 2 equal real roots
D < 0 → No real roots

Do Check - CBSE Class 10 Previous Year Question Papers PDF

Arithmetic Progressions (AP)

APs appear in almost every section of the board paper from MCQs testing the formula to long-answer word problems. Mastering the nth term and sum formulas is non-negotiable.

Core Formulas

nth term:aₙ = a + (n–1)d
Sum of n terms:Sₙ = n/2 × [2a + (n–1)d]
Also:Sₙ = n/2 × (a + l) where l = last term

Coordinate Geometry

A precise, formula-driven chapter. Learn all three formulas thoroughly Distance, Section, and Midpoint and practice applying them to triangles and quadrilaterals for higher-order questions.

Key Formulas

Distance:√[(x₂–x₁)² + (y₂–y₁)²]
Section (m:n):((mx₂+nx₁)/(m+n), (my₂+ny₁)/(m+n))
Area of △:½|x₁(y₂–y₃) + x₂(y₃–y₁) + x₃(y₁–y₂)|

Triangles

Triangles is arguably the most important geometry chapter. The proofs for similarity theorems (AA, SSS, SAS) and the Pythagoras Theorem are standard long-answer questions. Understand every theorem with its proof.

In a right triangle, the square of the hypotenuse equals the sum of squares of the other two sides:
AC² = AB² + BC²
Converse: If this holds, the angle at B is 90°.

Circles

Two key theorems drive this chapter: the tangent-radius perpendicularity theorem, and the theorem on equal tangents from an external point. Both are frequently tested in proofs and application problems.

Key Theorems

Theorem 1: The tangent at any point of a circle is perpendicular to the radius through the point of contact.

Theorem 2: The lengths of tangents drawn from an external point to a circle are equal.

Introduction to Trigonometry

This chapter lays the foundation. Memorize the trigonometric ratios, their values at standard angles, and the three fundamental identities. Questions on proving identities are high-frequency in the board exam.

Trig Ratios (sin, cos, tan)Standard Angle Values (0°–90°)Trigonometric IdentitiesComplementary Angles

Fundamental Identities

sin²θ + cos²θ = 1
1 + tan²θ = sec²θ
1 + cot²θ = cosec²θ

Complementary: sin(90°–θ) = cosθ

Some Applications of Trigonometry

Heights and Distances is a practical application chapter heavily tested in boards. Master the concepts of angle of elevation and angle of depression, and always draw a clear diagram before solving.

Strategy

Step 1: Draw a neat diagram. Step 2: Identify the right triangle. Step 3: Assign angles of elevation/depression. Step 4: Use tan θ = Opposite/Adjacent for most problems. Step 5: Simplify using √3 = 1.732, √2 = 1.414.

Areas Related to Circles

This chapter combines circle geometry with area calculations. Sector and segment areas, and combination problems (circle + square, etc.) are popular board questions. Keep π = 22/7 or 3.14 as specified.

Formulas

Area of sector:(θ/360) × πr²
Length of arc:(θ/360) × 2πr
Area of segment = Area of sector – Area of triangle

Surface Areas and Volumes

Problems involving combinations of solids (cone + hemisphere, cylinder + cone) are standard 5-mark questions. Also practice conversion of solids (melting and recasting) as these appear frequently.

Key Formulas

Cylinder: V = πr²h, CSA = 2πrh
Cone: V = ⅓πr²h, l = √(r²+h²)
Sphere: V = 4/3 πr³, SA = 4πr²
Frustum: V = πh/3 (r₁²+r₂²+r₁r₂)

Statistics

Focus on calculating mean, median, and mode for grouped data - these are tested in almost every board paper. The Ogive (cumulative frequency curve) is also an important topic for graphical questions.

Core Formulas

Mean (Direct):x̄ = Σfxᵢ / Σf
Median:l + [(n/2 – cf)/f] × h
Mode:l + [(f₁–f₀)/(2f₁–f₀–f₂)] × h

Probability

Probability in Class 10 focuses on classical (theoretical) probability. Problems involving coins, dice, cards, and coloured balls are standard. Always list the sample space carefully before calculating.

Core Formula

P(E) = Number of favourable outcomes / Total outcomes

Key Properties: 0 ≤ P(E) ≤ 1
P(E) + P(Ē) = 1 (complementary events)

Important Formulas for CBSE Class 10 Maths 2026

A consolidated formula sheet across all units. Print this out and keep it on your study desk for rapid revision in the weeks leading up to the board exam.

Algebra

Quadratic Formula

x = [–b ± √(b²–4ac)] / 2a

Sum of Zeros (Quadratic)

α + β = –b/a

Product of Zeros (Quadratic)

α · β = c/a

AP: nth Term

aₙ = a + (n–1)d

AP: Sum of n Terms

Sₙ = n/2 · [2a + (n–1)d]

Discriminant

D = b² – 4ac

Geometry & Coordinate Geometry

Pythagoras Theorem

AC² = AB² + BC²

Distance Formula

√[(x₂–x₁)² + (y₂–y₁)²]

Section Formula (m:n)

((mx₂+nx₁)/(m+n), (my₂+ny₁)/(m+n))

Area of Triangle (coords)

½|x₁(y₂–y₃) + x₂(y₃–y₁) + x₃(y₁–y₂)|

Midpoint Formula

((x₁+x₂)/2, (y₁+y₂)/2)

Tangent Lengths (ext. point)

PA = PB (equal tangents)

Trigonometry & Mensuration

Pythagorean Identity

sin²θ + cos²θ = 1

Sec-Tan Identity

1 + tan²θ = sec²θ

Cosec-Cot Identity

1 + cot²θ = cosec²θ

Area of Sector

(θ/360) × πr²

Volume of Cone

V = (1/3)πr²h

Volume of Sphere

V = (4/3)πr³

CSA of Cylinder

2πrh

Slant Height of Cone

l = √(r² + h²)

Statistics & Probability

Mean (Direct Method)

x̄ = Σfxᵢ / Σf

Median (Grouped)

l + [(n/2 – cf)/f] × h

Mode (Grouped)

l + [(f₁–f₀)/(2f₁–f₀–f₂)] × h

Probability of Event

P(E) = n(E) / n(S)

Complementary Events

P(E) + P(Ē) = 1

Mean (Step Deviation)

x̄ = a + h × (Σfuᵢ / Σf)

Preparation Strategy

30-Day Revision Plan for CBSE Class 10 Maths 2026

A structured, week-by-week revision strategy designed to maximize your score. Adapt timings based on your current preparation level.

Week 1 · Days 1–7

Master Algebra (20 Marks)

Revise Polynomials, Pair of Linear Equations, Quadratic Equations, and Arithmetic Progressions. Solve 15 NCERT questions per day. Focus on word problems and discriminant-based questions. Take one chapter test at the end of the week.

Week 2 · Days 8–14

Geometry + Trigonometry (27 Marks)

Revise Triangles similarity theorems and proofs, Circles tangent theorems. Then switch to Introduction to Trigonometry and Heights & Distances. Practice writing out proofs fully - do not skip steps. Attempt 3 previous-year questions daily.

Week 3 · Days 15–21

Mensuration + Stats + Remaining Chapters

Cover Areas Related to Circles, Surface Areas & Volumes, Statistics (mean/median/mode formulae), and Probability. Do 10 numerical problems from each chapter. Revise Real Numbers and Coordinate Geometry formulae - these are short but guarantee marks.

Week 4 · Days 22–30

Full Mock Tests + Revision

Attempt 2 full sample papers under timed conditions. Analyze errors, revisit weak chapters. Revise all formulas daily. On the last 2 days, only go through your formula sheet and quick notes - no new topics.

Daily Study Routine

• 06:00–07:30 Morning: New chapter study + NCERT reading
• 09:00–11:00 NCERT exercise problems (focus on 3-5 mark types)
• 15:00–16:30 Previous year questions for the day's topic
• 20:00–20:30 Formula revision + next day planning

Exam Tips to Score 90+ in CBSE Class 10 Maths 2026

• Always Show Step-by-Step Work

CBSE awards step marks. Even if your final answer is wrong, you can score 2–3 marks out of 5 for correct method and intermediate steps. Never skip steps.

• Time Management in the Exam

Spend ~40 minutes on Section A (MCQs), ~60 minutes on Sections B & C, and ~60 minutes on Sections D & E. Leave 20 minutes for revision and checking.

• Draw Neat Diagrams

For Geometry, Trigonometry (Heights & Distances), and Mensuration, always draw a labeled diagram. Examiners look for this and it helps you set up the solution correctly.

• Memorize Standard Values

sin 30°=½, cos 60°=½, tan 45°=1, sin 90°=1 - these appear in every MCQ section. Memorizing the full table (0°, 30°, 45°, 60°, 90°) saves crucial time.

• Attempt High-Weightage First

If you're stuck, skip and move on. Prioritize attempting all 5-mark questions from Algebra and Geometry before going back to incomplete problems.

• NCERT is Non-Negotiable

CBSE sets questions directly or slightly modified from NCERT exercises. Complete 100% of NCERT exercises (main + examples) before solving any other book.

• Practice with Actual Previous Papers

Solve at least 5 full CBSE previous year papers (2019–2024) under exam conditions. This builds speed, accuracy, and familiarity with question phrasing.

• Use Neat Handwriting & Boxes

Box your final answers. Use rulers for diagrams. Organized answer sheets create a positive impression and make it easier for examiners to award marks.

Best Books and Resources for CBSE Class 10 Maths 2026

Your book choice matters - too many books leads to scattered preparation. Stick to a maximum of two books at a time, and only move to supplementary material after completing NCERT.

• NCERT Mathematics Class 10 (Primary) - The only compulsory book. Every CBSE question is directly or indirectly from here. Complete every single exercise and worked example in the textbook.
• R.D. Sharma Class 10 - Best for extra practice in Algebra and Geometry. Use after NCERT for chapters where you feel you need more varied problem types.
• R.S. Aggarwal Class 10 - Strong on Statistics, Probability, and word problems. Good for MCQ practice across chapters.
• Oswaal CBSE Question Bank - Contains chapter-wise previous year questions organized by type, along with CBSE sample papers and topper answer sheets. Highly useful in the last month before exams.
• CBSE Official Sample Papers - Released by CBSE around October–November each year. Free to download from @cbseacademic.nic.in. These are the most accurate predictor of the actual paper's style and difficulty.