CBSE Class 10/Overview
Curriculum 2026–27
Practice
Concept Revision NotesCBSE Class 10 · 2026–27152 Prescribed Chapters

CBSE Class 10 Concept Revision Notes & Formula Master Sheets

Authoritative, syllabus-aligned revision notes for all 6 prescribed subjects. Select a subject below to view its chapter revision modules, formulas, solved NCERT examples, and board scoring tips.

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Mathematics (Standard & Basic)

15 Chapters · Number Systems, Algebra, Geometry, Trigonometry, Mensuration & Statistics
15 Chapters Available
Chapter 1• 15 min read

Real Numbers

Fundamental Theorem of Arithmetic, unique prime factorization, proofs of irrationality by contradiction, and LCM-HCF word problems.

Explains the Fundamental Theorem of Arithmetic and shows how every composite number can be uniquely expressed as a product of prime factors.
Covers rigorous contradiction methods to prove irrationality and applies HCF and LCM relationships to solve real-world mathematical problems.
Chapter 2• 15 min read

Polynomials

Geometrical meaning of zeroes, relationship between coefficients and zeroes of quadratic polynomials, and graph interpretations.

Explores how the zeroes of linear and quadratic polynomials correspond geometrically to the x-intercepts of their graphs.
Establishes the core algebraic relationships between the zeroes and coefficients of quadratic polynomials to construct and evaluate equations.
Chapter 3• 15 min read

Pair of Linear Equations in Two Variables

Graphical representation, consistency conditions (intersecting, parallel, coincident), algebraic methods of elimination and substitution, and word problems.

Teaches graphical and algebraic techniques (substitution and elimination) to find unique, infinitely many, or no solutions for pairs of linear equations.
Applies consistency conditions to model and solve practical problems involving speed, distance, age, fractions, and commercial applications.
Chapter 4• 15 min read

Quadratic Equations

Standard form, factorization method, quadratic formula derivation, discriminant analysis, and nature of real roots.

Demonstrates how to solve quadratic equations using factorization and the quadratic formula to determine unknown quantities.
Uses the discriminant to analyze the nature of roots and model real-life situations involving time, speed, area, and geometry.
Chapter 5• 15 min read

Arithmetic Progressions

nth term formula, sum of first n terms, identifying arithmetic progressions, and real-life sequence modeling.

Introduces arithmetic sequences and derives standard formulas to find the general nth term and common difference.
Explains how to calculate the sum of consecutive terms and apply progressive sequences to practical financial and daily-life scenarios.
Chapter 6• 15 min read

Triangles

Similarity of triangles, Basic Proportionality Theorem (Thales Theorem) and its converse, and AAA, SSS, SAS similarity criteria.

Focuses on geometric similarity criteria to prove proportionality and congruence relationships between corresponding sides and angles.
Applies the Basic Proportionality Theorem and similarity theorems to deduce geometric properties and solve complex triangle problems.
Chapter 7• 15 min read

Coordinate Geometry

Distance formula, section formula for internal division, midpoint formula, and collinearity of points on the Cartesian plane.

Provides analytical formulas to calculate exact distances between points and find coordinates of division points on the Cartesian plane.
Uses the section and midpoint formulas to verify geometric shapes, find centroids, and analyze collinearity.
Chapter 8• 15 min read

Introduction to Trigonometry

Trigonometric ratios of acute angles, values at standard angles (0°, 30°, 45°, 60°, 90°), and fundamental Pythagorean identities.

Defines the six fundamental trigonometric ratios with respect to acute angles in right-angled triangles.
Applies standard angle values and Pythagorean identities to simplify complex trigonometric expressions and prove equations.
Chapter 9• 15 min read

Some Applications of Trigonometry

Heights and distances, line of sight, angle of elevation, angle of depression, and multi-step observer word problems.

Translates real-world surveying scenarios into right-angled triangles using the line of sight, angle of elevation, and angle of depression.
Uses tangent, sine, and cosine ratios to calculate unknown heights and distances of buildings, towers, and ships.
Chapter 10• 15 min read

Circles

Tangent to a circle, point of contact, radius-tangent perpendicularity theorem, and equality of tangents from an external point.

Explains the geometric properties of circle tangents and proves that the radius through the point of contact is perpendicular to the tangent.
Demonstrates that tangent segments drawn from an external point to a circle are equal in length and applies this to solve geometric proofs.
Chapter 11• 15 min read

Areas Related to Circles

Area of sectors and segments of a circle, arc length calculations, and composite plane figures with central angles.

Calculates the perimeter, arc length, and area of sectors and segments in circles with central angles of 60°, 90°, and 120°.
Solves practical measurement problems involving composite designs, brooches, clock hands, and shaded geometric regions.
Chapter 12• 15 min read

Surface Areas and Volumes

Surface areas and volumes of combinations of solids (cubes, cuboids, spheres, hemispheres, cylinders, cones).

Teaches how to calculate the total surface area, curved surface area, and volume of composite solid shapes.
Analyzes practical problems involving combined objects such as tents, ice-cream cones, toys, and storage containers without melting conversion.
Chapter 13• 15 min read

Statistics

Mean of grouped data (direct, assumed mean methods), mode of grouped data, and median using cumulative frequency.

Explains methods to calculate the central tendencies of grouped data using direct and assumed mean methods.
Covers the step-by-step computation of mode and median using modal class formulas and cumulative frequency distributions.
Chapter 14• 15 min read

Probability

Classical theoretical probability, equally likely outcomes, complementary events, impossible and sure events (dice, coins, cards).

Defines classical theoretical probability as the ratio of favorable outcomes to the total number of equally likely elementary outcomes.
Applies probability principles to solve problems involving tossing coins, rolling dice, drawing cards, and real-life random events.
Chapter 15• 15 min read
✨Enrichment

Geometric Modeling & Coordinate Applications

Historical geometric constructions, dividing line segments in given ratios, and constructing tangents to a circle from an external point.

Covers foundational ruler-and-compass techniques for dividing a line segment internally into a given numerical ratio.
Demonstrates the geometric construction of tangents to a circle from a point outside it with full justification.