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The Central Board of Secondary Education (CBSE) has released the revised 7th class Maths syllabus for the upcoming academic session for the year 2023-24. The syllabus aims to provide students with a strong foundation in basic mathematical concepts and skills. The CBSE 7th class Maths syllabus includes topics on algebra, arithmetic, geometry, and commercial mathematics.

The Class 7 syllabus is also important from a competitive examination point of view. It is designed in such a way that it forms the foundation for the all-important board exams and competitive exams in the upcoming years. The topics like Algebraic Expressions, Comparing Quantities, Exponents, and Powers build a strong foundation for the next coming years.

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CBSE Maths Syllabus For Class 7 follows the Class 7 Maths syllabus of NCERT.

## Detailed Syllabus of Class 7 Maths CBSE

### Chapter 1: Integers

You have learned about natural and whole numbers in earlier classes. The integers are the next bigger collection of numbers which contains whole numbers and negative numbers. This chapter of the Class 7 math syllabus explains the similarities and differences between whole numbers and integers and their properties and operations.

- Properties of Addition of Integers (Closure under Addition, Closure under Subtraction, Commutative Property, Associative Property, Additive Identity)
- Properties of Subtraction of Integers (Closure under Addition, Closure under Subtraction, Commutative Property, Associative Property, Additive Identity)
- Multiplication of Integers (Multiplication of a Positive and a Negative Integer, Multiplication of two Negative Integers, Product of three or more Negative Integers)
- Properties of Multiplication of Integers (Closure under Multiplication, Commutativity of Multiplication, Multiplication by Zero, Multiplicative Identity, Associativity for Multiplication, Distributive Property, Making Multiplication Easier)
- Division of Integers
- Properties of Division of Integers

## Chapter 2: Fractions and Decimals

You have learned fractions and decimals in earlier classes. The study of fractions included proper, improper, and mixed fractions as well as their addition and subtraction. You also studied the comparison of fractions, equivalent fractions, representation of fractions on the number line, and ordering of fractions. In this chapter, you will learn some more operations with fractions and decimals.

- Multiplication of Fractions (Multiplication of a Fraction by a Whole Number, Multiplication of a Fraction by a Fraction)
- Division of Fractions (Division of a Whole Number by a Fraction, Division of a Fraction by a Whole Number, Division of a Fraction by another Fraction)
- Decimal Numbers
- Multiplication of Decimal Numbers (Multiplication of Decimal Numbers by 10, 100 and 1000)
- Division of Decimal Numbers (Division by 10, 100, and 1000, Division of a Decimal Number by a Whole Number, Division of a Decimal Number by another Decimal Number)

### Chapter 3: Data Handling

You know the meaning of data and ways to represent it. The next thing that you will learn in this chapter is its collection and organization and calculating representative values such as mean, range, mode, and median. You will also learn some more ways of representing the data and information visually.

- Collecting Data
- Organization Of Data
- Representative Values
- Arithmetic Mean
- Mode
- Median
- Use of Bar Graphs with A Different Purpose (Choosing A Scale)
- Chance and Probability

### Chapter 4: Simple Equations

In algebra, a symbol (usually a letter) is used for an unknown numerical value in an equation. The equations are used for some real-world problems and in the derivation of rules and formulas used in math. This chapter of the CBSE 7th class Maths syllabus introduces you to simple equations.

- Equations Involving Games
- Setting Up of an Equation
- What is Equation? (Solving an Equation)
- From Solution to Equation
- Applications of Simple Equations to Practical Situations

### Chapter 5: Lines and Angles

You see different types of shapes in your surroundings. These shapes are made up of edges and corners that resemble lines and angles. You have studied line, line segment, and ray. In this chapter, you will learn more about pairs of lines and angles formed by them.

- Related Angles (Complementary Angles, Supplementary Angles, Adjacent Angles, Linear Pair, Vertically Opposite Angles)
- Pairs of Lines (Intersecting Lines, Transversal, Angles Made by A Transversal, Transversal of Parallel Lines)
- Checking for Parallel Lines

### Chapter 6: Triangles and Their Properties

A triangle is made up of three basic components – vertices, edges, and angles. Apart from these three components, there are some other components and properties of triangles that are used in solving many problems based on triangles. Learn about these properties in this chapter on triangles.

- Medians of a Triangle
- Altitudes of a Triangle
- Exterior Angle of a Triangle and Its Property
- Angle Sum Property of a Triangle
- Equilateral Triangles
- Isosceles Triangles
- Sum of The Lengths of Two Sides of a Triangle
- Right-Angled Triangles and Pythagoras Property

### Chapter 7: Congruence of Triangles

You have studied the comparison and equality of numbers in earlier classes. You can also compare the plane figures like triangles, squares, rectangles, etc. The word congruence means equal. Learn how to tell whether two given triangles are congruent or not.

- Congruence of Plane Figures
- Congruence Among Line Segments
- Congruence of Angles
- Congruence of Triangles
- Criteria for Congruence of Triangles
- Congruence Among Right-Angled Triangles

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### Chapter 8: Comparing Quantities

In our daily life, there are many occasions when we compare two quantities like we heights, weights, etc., or the number of marbles ratio in which you divided marbles among your friends. This CBSE 7th class Maths syllabus introduces you to the different ways of comparing quantities.

- Equivalent Ratios
- Percentage- Another Way of Comparing Quantities (Meaning of Percentage, Converting Fractional Numbers to Percentages, Converting Decimals to Percentages, Converting Percentages to Fractions or Decimals, Fun with Estimation)
- Use of Percentages (Interpreting Percentages, Converting Percentages To “How Many”, Ratios to Percents, Increase or Decrease as Percent)
- Prices Related to An Item or Buying & Selling (Profit or Loss as a Percentage)
- Charge Given on Borrowed Money or Simple Interest (Interest for Multiple Years)

### Chapter 9: Rational Numbers

Numbers are the building blocks of mathematics. The system or a way of writing and representing numbers is called the number system. Till now you have studied natural numbers, whole numbers, and integers. This chapter introduces you to rational numbers – the numbers written in the form $\frac{p}{q}$ and irrational numbers – the numbers that cannot be represented in the form $\frac{p}{q}$. You will also learn about their comparison and different operations that can be performed on rational numbers.

- Need for Rational Numbers
- What Are Rational Numbers?
- Positive and Negative Rational Numbers
- Rational Numbers on a Number Line
- Rational Numbers in Standard Form
- Comparison of Rational Numbers
- Rational Numbers Between Two Rational Numbers
- Operations on Rational Numbers (Addition, Subtraction, Multiplication, Division)

### Chapter 10: Practical Geometry

In your earlier classes, you learned to draw line segments, their bisectors, and some basic angles and their bisectors. This chapter introduces you to constructing triangles using the knowledge of constructing lines and angles.

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

### Chapter 11: Perimeter and Area

Perimeter is the distance around a closed figure while the area is part of the plane or region occupied by the closed figure. And the area is the region occupied by it in a plane. You have already learned to find the perimeter and area of squares and rectangles. In the chapter, you will learn to find the perimeter and area of triangles, circles, and parallelograms. You will also learn how to convert these measurements from one unit to another.

- Area of A Square
- Area of A Rectangle
- Area of A Parallelogram
- Area of A Triangle
- Circumference of A Circle
- Area of A Circle
- Conversion of Units
- Applications

### Chapter 12: Algebraic Expressions

Expressions are a central concept in algebra. This chapter is devoted to algebraic expressions. After studying this chapter, you will know how algebraic expressions are formed, how they can be combined, how we can find their values, and how they can be used.

- How Are Expressions Formed?
- Terms of An Expression
- Like and Unlike Terms
- Monomials, Binomials, Trinomials and Polynomials
- Addition and Subtraction of Algebraic Expressions
- Finding the Value of An Expression
- Using Algebraic Expressions- Formulas and Rules

### Chapter 13: Exponents and Powers

You know representing quantities like the weight of your friend, or the weight of fruit you buy. But the weights of planets and stars such as that of Earth or the Sun cannot be expressed using the numbers you learned so far. In this chapter of the syllabus of class 7 maths CBSE, you will learn how to express very large quantities. In such cases, we use numbers with powers which are called exponents.

- Exponents
- Laws of Exponents (Multiplying Powers with The Same Base, Dividing Powers with The Same Base, Taking Power of a Power, Multiplying Powers with The Same Exponents, Dividing Powers with The Same Exponents)
- Decimal Number System
- Expressing Large Numbers in the Standard Form

### Chapter 14: Symmetry

Symmetry is an important geometrical concept, commonly exhibited in nature and is used almost in every field of activity. Artists, professionals, designers of clothing or jewelry, car manufacturers, architects, and many others make use of the idea of symmetry. In the chapter, you will be introduced to symmetry.

- Line Symmetry
- Rotational Symmetry

### Chapter 15: Visualizing Solid Shapes

In our day-to-day life, we see several objects like books, balls, ice-cream cones, etc., around us which have different shapes. One thing common about most of these objects is that they all have some length, breadth, and height or depth and are called solid shapes or 3D shapes. In this chapter, you will learn how to create 3D shapes using plane figures like squares, rectangles, and circles.

- Plane Figures and Solid Shapes
- Faces, Edges, and Vertices
- Nets for Building 3-D Shapes
- Drawing Solids on A Flat Surface (Oblique Sketches, Isometric Sketches, Visualising Solid Objects)
- Viewing Different Sections of a Solid (One Way to View an Object Is by Cutting Or Slicing, Another Way Is by Shadow Play, and A Third Way Is by Looking at It From Certain Angles To Get Different Views)

## Best Maths Reference Books For Class 7 CBSE

If you are looking for the best Maths reference books for the CBSE class 7 maths syllabus, then this list is for you. Here we have listed some of the best Maths books that will help you score high marks in your exams. These books cover the entire CBSE class 7 maths syllabus and are a great resource for students who want to excel in this subject. In this list, we will recommend three of the best math reference books for 7th grade students who are following the CBSE curriculum.

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- The first book on our list is “Mathematics Class VII” by R. D. Sharma, Dhanpat Rai Publications. This book is a very important book for self-study and building a base and learning the concepts of the chapters, providing a lot of problems for practice.

- Another great math reference book for 7th grade students is “CBSE All In One NCERT Based Mathematics Class 7 2023-24 Edition” by Arihant Publications. This book is one of the best books for preparation for competitive exams also.

- The third book on our list is “Mathematics for Class 7 – CBSE Examination 2023-24” by R.S. Aggarwal. R.S. Aggarwal is a well-known name for math textbooks for students studying the CBSE curriculum. It gives detailed and easy-to-understand explanations for the concepts on topics.

## Prescribed Books For Class 7 By CBSE

## CBSE Maths Syllabus For Class 7 Pdf

The Central Board of Secondary Education (CBSE) is a national-level board of education in India for public and private schools, controlled and managed by the Union Government of India.

In order to help students perform well in their exams, the CBSE has released the Maths Syllabus for Class 7. The syllabus covers all the important topics that will be taught in Class 7.

Based on the CBSE class 7 Maths syllabus, we have created this detailed and beautiful PDF which you can download and refer to anytime. This PDF not only covers the full list of chapters and topics within each chapter, but it also has a list of resources that parents, teachers, and students will find very helpful. So, go ahead and download this CBSE Maths Syllabus For Class 7 PDF.

## Summary

The CBSE 7th Class Maths Syllabus has been designed to provide a strong foundation in the subject and prepare students for higher-level courses.

The syllabus covers a wide range of topics, from basic algebra and geometry to more advanced concepts such as calculus and trigonometry.

Overall, the CBSE 7th Class Maths Syllabus provides a well-rounded education in mathematics that will give students the skills they need to succeed in higher-level courses.