72 chapters across 5 classes

NCERT Solutions for Class 6 to 10 Maths

Free, chapter-wise NCERT solutions for CBSE Class 6, 7, 8, 9, and 10 Maths. Every chapter includes step-by-step explanations, worked examples, and practice questions across three difficulty levels — all aligned with the latest NCERT syllabus.

Class 7 Maths

16 chapters
1

Large Numbers Around Us

Work with large numbers, estimation, and Indian and international numeration systems.

2

Arithmetic Expressions

Evaluate arithmetic expressions using order of operations (BODMAS).

3

Decimals

Read, compare, and perform operations on decimal numbers in real-world contexts.

4

Algebraic Expressions

Form and evaluate algebraic expressions using variables and constants.

5

Parallel & Intersecting Lines

Identify and explore properties of parallel and intersecting lines and angles.

6

Number Patterns & Puzzles

Recognize, describe, and extend number patterns and solve number puzzles.

7

Triangles & Angle Properties

Classify triangles, explore angle sum property, and understand exterior angles.

8

Fractions Operations

Multiply and divide fractions and mixed numbers; solve word problems.

9

Congruence & Symmetry

Identify congruent figures and explore rotational and reflective symmetry.

10

Integer Operations

Master multiplication and division of integers with properties.

11

HCF & LCM

Find highest common factor and lowest common multiple of numbers.

12

Rational Numbers

Explore rational numbers, equivalence, and place on the number line.

13

Coordinate Geometry Introduction

Plot points on the Cartesian plane and interpret coordinates.

14

Constructions & Tessellations

Use ruler and compass for constructions; explore tessellation patterns.

15

Simple Equations

Set up and solve simple linear equations in one variable.

16

Data Handling

Organize and interpret data using bar graphs, double bar graphs, and frequency tables.

Class 8 Maths

15 chapters
1

Squares, Cubes & Their Roots

Find squares, cubes, square roots, and cube roots using various methods.

2

Exponents & Powers

Apply laws of exponents including negative and zero exponents; standard form.

3

Rational Numbers

Study properties of rational numbers: closure, commutativity, distributivity.

4

Quadrilaterals

Classify quadrilaterals and explore angle sum and properties of special quadrilaterals.

5

Number Patterns & Puzzles

Explore divisibility rules, number patterns, and mathematical puzzles.

6

Algebraic Expressions & Identities

Multiply polynomials, apply standard algebraic identities, and simplify expressions.

7

Direct & Inverse Proportions

Identify and solve problems involving direct and inverse proportion.

8

Comparing Quantities

Calculate percentages, profit, loss, discount, tax, and compound interest.

9

Pythagorean Theorem

Prove and apply the Pythagorean theorem to solve right-triangle problems.

10

Linear Equations

Solve linear equations with variables on both sides; apply to word problems.

11

Geometric Explorations

Explore properties of polygons, constructions, and geometric reasoning.

12

Introduction to Graphs

Read and draw bar graphs, line graphs, pie charts, and coordinate plots.

13

Factorization

Factorize algebraic expressions using common factors, regrouping, and identities.

14

Mensuration (Area & Volume)

Calculate area of trapezium, polygon, and surface area and volume of solids.

15

Data Handling

Organize data using frequency tables, draw histograms and pie charts, and introduction to probability.

Class 9 Maths

15 chapters
1

Number Systems

Classify numbers into naturals, integers, rationals, and irrationals; represent on number line.

2

Polynomials

Understand degree, zeroes of polynomials, remainder theorem, and factor theorem.

3

Coordinate Geometry

Plot points on the Cartesian plane and understand abscissa, ordinate, and quadrants.

4

Linear Equations in Two Variables

Form and graph linear equations in two variables; find solutions as ordered pairs.

5

Introduction to Euclid's Geometry

Study Euclid's definitions, axioms, postulates, and their role in building geometry.

6

Lines & Angles

Prove and apply theorems on linear pairs, vertically opposite angles, and parallel line transversals.

7

Triangles

Study congruence rules, properties of isosceles triangles, and inequalities in triangles.

8

Quadrilaterals

Prove angle sum property, properties of parallelograms, and mid-point theorem.

9

Areas of Parallelograms & Triangles

Prove theorems relating areas of figures on the same base and between the same parallels.

10

Circles

Study chords, arcs, angles subtended by chords, and properties of cyclic quadrilaterals.

11

Constructions

Construct bisectors of line segments and angles, and triangles given specific conditions.

12

Heron's Formula

Apply Heron's formula to find areas of triangles and quadrilaterals split into triangles.

13

Surface Areas & Volumes

Calculate surface area and volume of cubes, cuboids, cylinders, cones, and spheres.

14

Statistics

Collect data, draw frequency tables and histograms, and compute mean, median, and mode.

15

Probability

Understand experimental probability through repeated experiments and frequency approach.

Class 10 Maths

14 chapters
1

Real Numbers

Apply Euclid's division lemma and fundamental theorem of arithmetic to HCF, LCM, and irrationality proofs.

2

Polynomials

Relate zeroes and coefficients of polynomials; perform division algorithm for polynomials.

3

Pair of Linear Equations in Two Variables

Solve pairs of linear equations graphically and algebraically using substitution and elimination.

4

Quadratic Equations

Solve quadratic equations using factorization and quadratic formula; determine nature of roots.

5

Arithmetic Progressions

Find nth term and sum of n terms of an arithmetic progression with real-life applications.

6

Triangles

Prove and apply BPT, similarity criteria, and Pythagoras theorem with proofs.

7

Coordinate Geometry

Apply distance formula, section formula, and area of a triangle in the coordinate plane.

8

Introduction to Trigonometry

Define trigonometric ratios, find values of standard angles, and prove trigonometric identities.

9

Some Applications of Trigonometry

Solve real-world problems on heights and distances using trigonometric ratios.

10

Circles

Study tangent to a circle, number of tangents from a point, and related theorems.

11

Areas Related to Circles

Calculate area of sectors, segments, and combinations of plane figures involving circles.

12

Surface Areas & Volumes

Find surface area and volume of combinations of solids and conversion between solids.

13

Statistics

Compute mean, median, and mode of grouped data; draw cumulative frequency curves (ogives).

14

Probability

Calculate theoretical probability of events and solve problems on complementary events.

Practice with free worksheets

Reinforce every NCERT chapter with printable PDF worksheets — 45 questions across 3 difficulty levels, answer keys included.

Browse Worksheets