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NCERT · Class 7

NCERT Class 7 Mathematics: Chapter List and Official PDFs

All 15 chapters of the NCERT Class 7 Mathematics textbook(s), with the section headings of each chapter and a link to the official PDF on ncert.nic.in. Open a chapter to see what it covers.

15 chapters2 books

Ganita Prakash

Chapter 1: Large Numbers Around Us
  • 1.1 A Lakh Varieties!
  • 1.2 Land of Tens
  • 1.3 Of Crores and Crores!
  • 1.4 Exact and Approximate Values
  • 1.5 Patterns in Products
  • 1.6 Did You Ever Wonder…?

Official NCERT PDF (English) · हिंदी माध्यम PDF

Chapter 2: Arithmetic Expressions
  • 2.1 Simple Expressions
  • 2.2 Reading and Evaluating Complex Expressions

Official NCERT PDF (English) · हिंदी माध्यम PDF

Chapter 3: A Peek Beyond the Point
  • 3.1 The Need for Smaller Units
  • 3.2 A Tenth Part
  • 3.3 A Hundredth Part
  • 3.4 Decimal Place Value
  • 3.5 Units of Measurement
  • 3.6 Locating and Comparing Decimals
  • 3.7 Addition and Subtraction of Decimals
  • 3.8 More on the Decimal System

Official NCERT PDF (English) · हिंदी माध्यम PDF

Chapter 4: Expressions using Letter-Numbers
  • 4.1 The Notion of Letter-Numbers
  • 4.2 Revisiting Arithmetic Expressions
  • 4.3 Omission of the Multiplication Symbol in Algebraic Expressions
  • 4.4 Simplification of Algebraic Expressions
  • 4.5 Pick Patterns and Reveal Relationships

Official NCERT PDF (English) · हिंदी माध्यम PDF

Chapter 5: Parallel and Intersecting Lines
  • 5.1 Across the Line
  • 5.2 Perpendicular Lines
  • 5.3 Between Lines
  • 5.4 Parallel and Perpendicular Lines in Paper Folding
  • 5.5 Transversals
  • 5.6 Corresponding Angles
  • 5.7 Drawing Parallel Lines
  • 5.8 Alternate Angles
  • 5.9 Parallel Illusions

Official NCERT PDF (English) · हिंदी माध्यम PDF

Chapter 6: Number Play
  • 6.1 Numbers Tell us Things
  • 6.2 Picking Parity
  • 6.3 Some Explorations in Grids
  • 6.4 Nature’s Favourite Sequence: The Virahāṅka– Fibonacci Numbers!
  • 6.5 Digits in Disguise

Official NCERT PDF (English) · हिंदी माध्यम PDF

Chapter 7: A Tale of Three Intersecting Lines
  • 7.1 Equilateral Triangles
  • 7.2 Constructing a Triangle When its Sides are Given
  • 7.3 Construction of Triangles When Some Sides
  • 7.4 Constructions Related to Altitudes of Triangles
  • 7.5 Types of Triangles

Official NCERT PDF (English) · हिंदी माध्यम PDF

Chapter 8: Working with Fractions
  • 8.1 Multiplication of Fractions
  • 8.2 Division of Fractions
  • 8.3 Some Problems Involving Fractions

Official NCERT PDF (English) · हिंदी माध्यम PDF

Ganita Prakash-II

Chapter 1: Geometric Twins
  • 1.1 Geometric Twins
  • 1.2 Congruence of Triangles
  • 1.3 Angles of Isosceles and Equilateral Triangles

Official NCERT PDF (English) · हिंदी माध्यम PDF

Chapter 2: Operations with Integers
  • 2.1 A Quick Recap of Integers
  • 2.2 Multiplication of Integers

Official NCERT PDF (English) · हिंदी माध्यम PDF

Chapter 3: Finding Common Ground
  • 3.1 The Greatest of All
  • 3.2 Least, but not Last!
  • 3.3 Patterns, Properties, and a Pretty Procedure!

Official NCERT PDF (English) · हिंदी माध्यम PDF

Chapter 4: Another Peek Beyond the Point
  • 4.1 A Quick Recap of Decimals
  • 4.2 Decimal Multiplication
  • 4.3 Decimal Division
  • 4.4 Look Before You Leap!

Official NCERT PDF (English) · हिंदी माध्यम PDF

Chapter 5: Connecting the Dots...
  • 5.1 Of Questions and Statements
  • 5.2 Representative Values
  • 5.3 Visualising Data
  • 5.4 Data Detective

Official NCERT PDF (English) · हिंदी माध्यम PDF

Chapter 6: Constructions and Tilings
  • 6.1 Geometric Constructions
  • 6.2 Tiling

Official NCERT PDF (English) · हिंदी माध्यम PDF

Chapter 7: Finding the Unknown
  • 7.1 Find the Unknowns
  • 7.2 Solving Equations Systematically
  • 7.3 Mind the Mistake, Mend the Mistake
  • 7.4 A Pinch of History

Official NCERT PDF (English) · हिंदी माध्यम PDF

Free sample questions

Three sample questions with answers. Full explanations — and the rest of the question bank — are free to read after you sign up.

Q1. (3)/(4) litre of milk is shared equally among 6 cups. The milk in each cup is

  1. (1)/(8) litre
  2. (9)/(2) litres
  3. (1)/(2) litre
  4. (3)/(4) litre
Show answer

Correct answer: A. (1)/(8) litre

🔒 The full explanation is free to read after you sign up →

Q2. O is the midpoint of both AD and BC. To show △ AOB ≅ △ DOC by SAS, which fact gives the equal angles?

  1. ∠ AOB=∠ AOC, because they are adjacent angles.
  2. ∠ OAB=∠ OAC, because AO is a common side.
  3. ∠ AOB=∠ DOC, because AB=DC is given.
  4. ∠ AOB=∠ DOC, because they are vertically opposite angles.
Show answer

Correct answer: D. ∠ AOB=∠ DOC, because they are vertically opposite angles.

🔒 The full explanation is free to read after you sign up →

Q3. O is a point on a line. X and Y are marked on the line at equal distances from O. To get the 90° angle at O, how many pairs of intersecting arcs are needed for the perpendicular bisector of XY?

  1. Only one pair, on either side of the line
  2. Two pairs, one above and one below
  3. Three pairs
  4. None; the ruler alone gives the right angle
Show answer

Correct answer: A. Only one pair, on either side of the line

🔒 The full explanation is free to read after you sign up →

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Chapter lists follow the NCERT textbooks as available to us; textbooks are revised from time to time, so confirm on ncert.nic.in.

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