# CBSE Syllabus for Class 7 Mathematics PDF [New]

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Here we have provided the official CBSE Syllabus for Class 6 Mathematics. You can download CBSE Class 6 Mathematics syllabus for 2021-2022 in pdf format from the downloadable link provided below. Refer to it every time while studying. It will also help in tracking the record of how many chapters have been finished.

Detailed CBSE Syllabus For Class 7 Maths

Once you know the chapters covered, its time to understand the Chapters and their units in detail. So, let us now see what concepts are included in each of these chapters:

Chapter 1Integers

• 1.1: Introduction
• 1.2: Recall
• 1.3: Properties of Addition and Subtraction of Integers
• 1.3.2: Closure under Subtraction
• 1.3.3: Commutative Property
• 1.3.4: Associative Property
• 1.4: Multiplication of Integers
• 1.4.1: Multiplication of a Positive and a Negative Integer
• 1.4.2: Multiplication of two Negative Integers
• 1.4.3: Product of three or more Negative Integers
• 1.5: Properties of Multiplication of Integers
• 1.5.1: Closure under Multiplication
• 1.5.2: Commutativity of Multiplication
• 1.5.3: Multiplication by Zero
• 1.5.4: Multiplicative Identity
• 1.5.5: Associativity for Multiplication
• 1.5.6: Distributive Property
• 1.5.7: Making Multiplication Easier
• 1.6: Division of Integers
• 1.7: Properties of Division of Integers

Chapter 2: Fractions and Decimals

• 2.1: Introduction
• 2.2: How Well Have You Learnt About Fractions?
• 2.3: Multiplication of Fractions
• 2.3.1: Multiplication of a Fraction by a Whole Number
• 2.3.2: Multiplication of a Fraction by a Fraction
• 2.4: Division of Fractions
• 2.4.1: Division of Whole Number by a Fraction
• 2.4.2: Division of a Fraction by a Whole Number
• 2.4.3: Division of a Fraction by Another Fraction
• 2.5: How Well Have You Learnt About Decimal Numbers
• 2.6: Multiplication of Decimal Numbers
• 2.6.1: Multiplication of Decimal Numbers by 10, 100 and 1000
• 2.7: Division of Decimal Numbers
• 2.7.1: Division by 10, 100 and 1000
• 2.7.2: Division of a Decimal Number by a Whole Number
• 2.7.3: Division of a Decimal Number by another Decimal Number.

Chapter 3: Data Handling

• 3.1: Introduction
• 3.2: Collecting Data
• 3.3: Organisation Of Data
• 3.4: Representative Values
• 3.5: Arithmetic Mean
• 3.5.1: Range
• 3.6: Mode
• 3.6.1: Mode of Large Data
• 3.7: Median
• 3.8: Use of Bar Graphs with A Different Purpose
• 3.8.1: Choosing A Scale
• 3.9: Chance and Probability
• 3.9.1: Chance.

Chapter 4: Simple Equations

• 4.2: Setting Up of an Equation
• 4.3: Review of What We Know
• 4.4: What Equation Is?
• 4.4.1: Solving an Equation
• 4.5: More Equations
• 4.6: From Solution to Equation
• 4.7: Applications of Simple Equations to Practical Situations

Chapter 5: Lines and Angles

• 5.1: Introduction
• 5.2: Related Angles
• 5.2.1: Complementary Angles
• 5.2.2: Supplementary Angles
• 5.2.4: Linear Pair
• 5.2.5: Vertically Opposite Angles

5.3: Pairs of Lines

• 5.3.1: Intersecting Lines
• 5.3.2: Transversal
• 5.3.3: Angles Made by A Transversal
• 5.3.4: Transversal of Parallel Lines
• 5.4: Checking for Parallel Lines

Chapter 6: Triangles and its Properties

• 6.1: Introduction
• 6.2: Medians of a Triangle
• 6.3: Altitudes of a Triangle
• 6.4: Exterior Angle of a Triangle and Its Property
• 6.5: Angle Sum Property of a Triangle
• 6.6: Two Special Triangles: Equilateral and Isosceles
• 6.7: Sum of The Lengths of Two Sides of a Triangle
• 6.8: Right-Angled Triangles and Pythagoras Property

Chapter 7: Congruence of Triangles

• 7.1: Introduction
• 7.2: Congruence of Plane Figures
• 7.3: Congruence Among Line Segments
• 7.4: Congruence of Angles
• 7.5: Congruence of Triangles
• 7.6: Criteria for Congruence of Triangles
• 7.7: Congruence Among Right-Angled Triangles

Chapter 8: Comparing Quantities

• 8.1: Introduction
• 8.2: Equivalent Ratios
• 8.3: Percentage – Another Way of Comparing Quantities
• 8.3.1: Meaning of Percentage
• 8.3.2: Converting Fractional Numbers to Percentage
• 8.3.3: Converting Decimals to Percentage
• 8.3.4: Converting Percentages to Fractions or Decimals
• 8.3.5: Fun with Estimation

8.4: Use of Percentages

• 8.4.1: Interpreting Percentages
• 8.4.2: Converting Percentages To “How Many”
• 8.4.3: Ratios to Percents
• 8.4.4: Increase or Decrease as Percent

8.5: Prices Related to An Item or Buying and Selling

• 8.5.1: Profit or Loss as A Percentage

8.6: Charge Given on Borrowed Money or Simple Interest

• 8.6.1: Interest for Multiple Years.

Chapter 9: Rational Numbers

• 9.1: Introduction
• 9.2: Need for Rational Numbers
• 9.3: What Are Rational Numbers?
• 9.4: Positive and Negative Rational Numbers
• 9.5: Rational Numbers on a Number Line
• 9.6: Rational Numbers in Standard Form
• 9.7: Comparison of Rational Numbers
• 9.8: Rational Numbers Between Two Rational Numbers
• 9.9: Operations on Rational Numbers
• 9.9.2: Subtraction
• 9.9.3: Multiplication
• 9.9.4: Division.

Chapter 10: Practical Geometry

• 10.1: Introduction
• 10.2: Construction of A Line Parallel To A Given Line, Through A Point Not On The Line
• 10.3: Construction of Triangles
• 10.4: Constructing A Triangle When the Lengths of Its Three Sides Are Known (SSS Criterion)
• 10.5: Constructing A Triangle When the Lengths of Two Sides and The Measure of The Angle Between Them Are Known. (SAS Criterion)
• 10.6: Constructing A Triangle When the Measures of Two of Its Angles and The Length of The Side Included Between Them Is Given. (ASA Criterion)
• 10.7: Constructing A Right-Angled Triangle When the Length of One Leg and Its Hypotenuse Are Given (RHS Criterion).

Chapter 11: Perimeter and Area

• 11.1: Introduction
• 11.2: Squares and Rectangles
• 11.2.1: Triangles as Parts Of Rectangles
• 11.2.2: Generalising For Other Congruent Parts of Rectangles
• 11.3: Area of A Parallelogram
• 11.4: Area of A Triangle
• 11.5: Circles
• 11.5.1: Circumference of A Circle
• 11.5.2: Area of Circle
• 11.6: Conversion of Units
• 11.7: Applications.

Chapter 12: Algebraic Expressions

• 12.1: Introduction
• 12.2: How Are Expressions Formed?
• 12.3: Terms of An Expression
• 12.4: Like and Unlike Terms
• 12.5: Monomials, Binomials, Trinomials and Polynomials
• 12.6: Addition and Subtraction of Algebraic Expressions
• 12.7: Finding the Value of An Expression
• 12.8: Using Algebraic Expressions – Formulas and Rules.

Chapter 13: Exponents and Powers

• 13.1: Introduction
• 13.2: Exponents
• 13.3: Laws of Exponents
• 13.3.1: Multiplying Powers with The Same Base
• 13.3.2: Dividing Powers with The Same Base
• 13.3.3: Taking Power of a Power
• 13.3.4: Multiplying Powers with The Same Exponents
• 13.3.5: Dividing Powers with The Same Exponents
• 13.4: Miscellaneous Examples Using the Laws of Exponents
• 13.5: Decimal Number System
• 13.6: Expressing Large Numbers in The Standard Form.

Chapter 14: Symmetry

• 14.1: Introduction
• 14.2: Lines of Symmetry for Regular Polygons
• 14.3: Rotational Symmetry
• 14.4: Line Symmetry and Rotational Symmetry.

Chapter 15: Visualising Solid Shapes

• 15.1: Introduction: Plane Figures and Solid Shapes
• 15.2: Faces, Edges and Vertices
• 15.3: Nets for Building 3-D Shapes
• 15.4: Drawing Solids on A Flat Surface
• 15.4.1: Oblique Sketches
• 15.4.2: Isometric Sketches
• 15.4.3: Visualising Solid Objects
• 15.5: Viewing Different Sections of a Solid
• 15.5.1: One Way to View an Object Is by Cutting Or Slicing
• 15.5.2: Another Way Is by Shadow Play
• 15.5.3: A Third Way Is by Looking at It From Certain Angles To Get Different Views.