The Indian Certificate of Secondary Education or ICSE is a private board for school education in India. 7th is considered to be the foundational class which consists of basic core topics. It covers a range of topics that are essential for students to master before moving on to higher-level mathematics. These topics are important for future classes as many of these topics in the ICSE maths syllabus for class 7 are repeated in detail in higher classes.

The syllabus is divided into six major parts: Number System, Commercial Mathematics, Algebra, Geometry, Mensuration, and Data Handling.

## Detailed Syllabus of Class 7 Maths ICSE

### Chapter 1: Number System

Numbers are the basic concept in mathematics. There are various types of numbers used by humans to cater to their various needs and applications. The different types of numbers that you will learn in this chapter of the ICSE maths syllabus for class 7 are natural numbers, even & odd numbers, whole numbers, integers, and rational & irrational numbers.

- Natural Numbers
- Even & Odd Numbers
- Whole Numbers
- Prime & Composite Numbers
- Integers
- Rational Numbers
- Irrational Numbers
- Number Line
- Face Value & Place Value of a Number
- Fundamental Operation of Numbers – Addition
- Fundamental Operation of Numbers – Subtraction
- Fundamental Operation of Numbers – Multiplication
- Fundamental Operation of Numbers – Division

### Chapter 2: Power and Roots

There are many quantities or measurements that need very large numbers such as the mass of the Earth and the Sun. In such cases, we use a special type of number called exponents. This chapter introduces you to exponents and roots.

- Exponent
- Properties of Exponent
- Square of a Number
- Cube of a Number
- Square Root – Prime Factor Method
- Square Root – Prime Division Method
- Perfect Square
- Cube Root – Prime Factor Method
- Cube Root – Using Index Form

### Chapter 3: HCF and LCM

There are situations where we want to split or group a number of items into smaller groups or form bigger groups and want to know the number of new groups formed. To solve such types of problems, we use the concept of HCF and LCM. In this chapter of the ICSE maths syllabus for class 7, you will learn about HCF and LCM and different methods of finding them.

- Factors of a Number
- Common Factors
- Prime Factors
- Finding HCF – Common Factor Method
- Finding HCF – Prime Factor Method
- Finding HCF – Division Method
- Multiples of a Number
- Common Multiples
- Finding LCM – Prime Factors Method
- Finding LCM – Common Division Method
- Product of HCF and LCM

### Chapter 4: Fraction

Fractions are special types of numbers that represent a part of a whole. This chapter explains the various types of fractions and the basic operations that can be performed on them.

- Classification of Fractions – Vulgar Fractions
- Classification of Fractions – Decimal Fractions
- Classification of Fractions – Proper Fractions
- Classification of Fractions – Improper Fractions
- Classification of Fractions – Mixed Fractions
- Reducing Fractions to Lowest Form
- Equivalent Fractions
- Like and Unlike Fractions
- Comparing Fractions
- Inserting Fractions Between Two Fractions
- Operations on Fractions – Addition
- Operations on Fractions – Subtraction
- Operations on Fractions – Multiplication
- Operations on Fractions – Division
- Using “Of”
- Using BODMAS
- Using Brackets – Removal & Insertion of Brackets

### Chapter 5: Decimal Fractions

Decimals are also used to represent part of a whole and are similar to fractions. In this chapter, you will learn about decimals, their similarities with fractions, and the basic operations that are performed on decimals.

- Reading Decimal Numbers
- Converting Decimal Numbers to Fractions
- Decimal Places
- Addition of Decimal Numbers
- Subtraction of Decimal Numbers
- Multiplication of Decimal Numbers
- Division of Decimal Numbers
- Types of Decimal Numbers – Terminating, Non-Terminating But Recurring & Non-Terminating and Recurring
- Rounding Off Decimal Numbers
- Significant Digits

### Chapter 6: Unitary Method

The unitary method is a very simple and easy way of solving problems on variations. In this chapter of the ICSE maths syllabus for class 7, you will understand the use of the unitary method in solving problems on direct and inverse variations.

- Unitary Method
- Direct Variation
- Inverse Variation
- Time and Work

### Chapter 7: Speed, Distance, and Time

Speed is a term associated with an object in motion. You know that a moving car has a speed. This chapter explains the concept and relation between speed, distance covered, and time taken by a moving object. In this chapter, you will also learn two types of speeds – uniform speed and variable speed.

- Speed
- Uniform Speed and Variable Speed
- Converting Speed From One Unit to Other

### Chapter 8: Ratio and Proportion

Ratios and proportions are used when we distribute items among many people. This chapter explains the terms ratios and proportions and the relation between these two. You will also learn about a type of proportion called continued proportion that involves three or more quantities.

- Ratio
- Dividing a Given Quantity into Ratio
- Proportion
- Continued Proportion

### Chapter 9: Percent and Percentage

A percentage is a term used in many areas. The mark sheets of students show the performance in terms of percentage. In this chapter of the ICSE maths syllabus for class 7, you will learn the meaning of percentages and how to solve problems based on percentages.

- Expressing Percentage
- Finding Percentage of a Quantity
- Percent Change

### Chapter 10: Profit, Loss, and Discount

When you visit a mall or a shop, you come across the term called ‘discount’. In this chapter, you will understand the meaning of discount and how it is calculated along with the two other important and related terms – profit and loss.

### Chapter 11: Simple Interest

Whenever someone deposits money in a bank, the bank pays back an extra amount along with the money deposited. This extra amount received by a person is called interest. In this chapter, you will learn the meaning of simple interest and how it is computed.

### Chapter 12: Averages

An average of a list of data is the expression of the central value of a set of data. It is also called the mean of the data set. In this chapter, you will learn the process of calculating an average of a list of numbers.

- Finding Average

### Chapter 13: Fundamental Concepts

The expressions formed using variables and constants are known as algebraic expressions. In this chapter, you will learn about algebraic expressions, their types, and the four basic operations that can be performed on algebraic expressions.

- Algebraic Expressions and Related Terms
- Types of Algebraic Expressions
- Addition of Algebraic Expressions
- Subtraction of Algebraic Expressions
- Multiplication of Algebraic Expressions
- Division of Algebraic Expressions

### Chapter 14: Products

Algebraic identities are expressions that are used to solve algebraic expressions quickly and easily. There are many algebraic identities that are used to make our computations easy and simple. Learn about these identities in this chapter.

- Algebraic Identities

### Chapter 15: Simplifications

While solving algebraic expressions, we generally group and regroup the component terms and expressions to make our calculations easy. This chapter explains the ways of simplifying algebraic expressions by using brackets.

- Simplifying Algebraic Expressions
- Using Brackets
- Inserting and Removing Brackets

### Chapter 16: Equations and Inequations

Two or more algebraic expressions separated by an equal sign are called equations. When this equal-to sign is replaced by some other sign such as less than or greater than it becomes an inequation. In this chapter, you will understand the difference between equations and inequations and how they are solved.

- Solving Equations – Transpose Method
- Solving Equations With Variables on Both Sides
- Equations Involving Fractions
- Inequations
- Replacement Set and Solution Set
- Properties of Inequations
- Graphical Representation of Inequations

### Chapter 17: Formula: Change of Subject of a Formula

In mathematics, we use formulas to compute the value of many things like speed, area, volume, etc. In this chapter of the ICSE maths syllabus for class 7, you will learn how to formulate formulas for a given situation and how to change them depending on the requirement of a problem.

- Formula
- Changing the Subject of a Formula

### Chapter 18: Problems Based on Simple Equations

Many real-world problems such as the ones based on numbers, ages, and geometry are solved using simple equations. In this chapter, you will learn how to formulate and solve an equation for a given problem.

- Problems Involving Numbers
- Problems Involving Ages
- Miscellaneous Problems

### Chapter 19: Factorization

You know the terms factors and multiples of a number. Similarly, algebraic expressions can also be decomposed into smaller expressions known as factors. The process of finding the factors of an algebraic expression is called factorization. Learn about the different methods of factorizing algebraic expressions.

- Factors and Factorization
- Types of Factorization – Taking Out a Common Factor
- Types of Factorization – Grouping
- Types of Factorization – Difference of Two Squares

### Chapter 20: Graphs

Coordinate geometry is used to represent a point in a plane using two values – x and y. In this chapter, you will learn how to represent a point in a plane using x and y coordinates and also to draw linear graphs in a Cartesian plane.

- Representation of a Point in a Plane
- Quadrants
- Draw a Linear Graph in Two Variables

### Chapter 21: Relations and Mapping

Mapping is any prescribed way of assigning to each object in one set a particular object in another (or the same) set. Mapping applies to any set: a collection of objects, such as all whole numbers, all the points on a line, or all those inside a circle. In this chapter, you learn about the meaning of relations and mapping and how they are used.

- Ordered Pair
- Relation
- Representing Relation
- Domain and Range of a Relation
- Mapping

### Chapter 22: Indices

An index, or power, is a small floating number that appears after a number or letter. The plural of an index is indices. Indices show how many times a number or letter has been multiplied by itself. This chapter explains the meaning of indices and the laws associated with it which are used to solve problems based on indices.

- Indices or Exponent
- Laws of Indices

### Chapter 23: Lines and Angles

This chapter of the ICSE maths syllabus for class 7, deals with basic terms, types of lines, types of angles, and the construction of angles. In the solutions, students are provided with the steps to be followed in the construction of various structures.

- Basic Terms
- Measurement of an Angle
- Types of Angles
- Pairs of Angles
- Parallel Lines and Transversal
- Construction of Angles

### Chapter 24: Triangles

This chapter of the ICSE Maths Syllabus for Class 7 helps you understand the types of triangles based on the angles and lengths of sides. You will also learn about the important properties of triangles and how to construct triangles based on given measurements.

- Interior and Exterior Angles
- Classification of Triangles Based on Angles
- Classification of Triangles Based on Sides
- Properties of Triangles
- Construction of Triangles

### Chapter 25: Symmetry

A geometric figure is symmetric if the line of symmetry divides it into two identical parts. In this chapter, you will learn about symmetric figures and the line of symmetry required for reflection and rotation.

- Line Symmetry
- Reflection
- Rotational Symmetry

### Chapter 26: Congruent Triangles

The word “congruent” means “equal”. In this chapter, you will learn the meaning of congruency with respect to triangles and the different rules or criteria for proving the congruency of triangles.

- Meaning of Congruency
- Congruency of Triangles – Corresponding Sides and Angles
- Conditions of Congruency – SSS
- Conditions of Congruency – SAS
- Conditions of Congruency – ASA
- Conditions of Congruency – RHS

### Chapter 27: Polygons

A polygon is a closed plane figure bounded by at least three line segments. This chapter of the ICSE Maths Syllabus for Class 7 explains the various types of polygons and the important property of polygons related to their interior angles.

- Types of Polygons
- Sum of Interior Angles of a Polygon

### Chapter 28: Construction of Quadrilaterals

Quadrilaterals are a type of polygon with four sides, four vertices, and four angles. This chapter explains the step-by-step process of constructing different types of quadrilaterals.

- Construction of Quadrilaterals
- Construction of Parallelograms
- Construction of Rectangles
- Construction of Squares
- Construction of Rhombus

### Chapter 29: Introduction to Theorem

In mathematics, a theorem is a statement that has been proved or can be proved. In this chapter of the ICSE maths syllabus for class 7, you will understand the meaning of a theorem and how it is proved. You will also understand the difference between two related terms – axiom and postulate.

- Axiom, Postulate, and Theorem
- Proving Theorems

### Chapter 30: Circles

A circle is a basic 2D shape that is measured in terms of its radius. The circles divide the plane into two regions – interior and exterior. In this chapter of the ICSE Maths Syllabus for Class 7, you will learn about a circle and the terms related to it.

- Describing a Circle – Related Terms

### Chapter 31: Perimeter and Area

Perimeter is the total length of all the sides of a polygon taken together, whereas area is the region occupied by a polygon in a 2D plane. Learn about finding the perimeter and area of two basic 2D figures – rectangle and square.

### Chapter 32: Volume and Surface Area

Surface area is the sum of areas of all the faces of a solid shape and volume is the space occupied by a 3D object in space. This chapter of the ICSE maths syllabus for class 7, explains the methods of finding volume and surface areas of two basic 3D shapes – cuboid and cube.

- Surface Area of Cuboid
- Surface Area of Cube
- Volume of Cuboid
- Volume of Cube
- Area of Four Walls of a Room

### Chapter 33: Collection and Tabulation of Data

Data is a collection of values used to convey some meaning. Learn about data and its different types and about frequency distribution. In this chapter of the ICSE Maths Syllabus for Class 7, you will also learn how to represent data graphically using a pie graph, bar graph, or a line graph/

- Data and its Types
- Frequency Distribution
- Graphical Representation of Data – Pie Graph
- Graphical Representation of Data – Bar Graph
- Graphical Representation of Data – Line Graph
- Arithmetic Mean

### Chapter 34: Set Concepts

A collection of related objects is called a set. For example, the collection of books in your school library can be called a set of books. In this chapter, you will learn the meaning of a set and how it is represented. You will also learn about the different types of sets.

- Sets and Related Terms
- Representation of a Set
- Types of Sets

### Chapter 35: Subsets and Universal Set

The smaller sets that can be formed from large sets are known as subsets. In his chapter of the ICSE maths syllabus for class 7, you will learn about sets and related terms. You will also learn the different operations that are performed on sets.

- Subsets
- Universal Set
- Complement of a Set
- Operations on Sets – Union
- Operations on Sets – Intersection
- Operations on Sets – Difference

### Chapter 36: Venn Diagrams

Venn diagrams are the visual representation of sets. In this chapter, you will learn how to represent sets using Venn diagrams.

- Venn Diagrams

## Best Maths Reference Books For Class 7 ICSE

If you are looking for the best Maths reference books for Class 7 ICSE, 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 maths 7 class 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 ICSE curriculum.

- The first book on our list is “Concise Mathematics Middle School for Class 7 – Examination 2022-23” by R.K. Bansal. This is very popular among students and teachers alike. If you’re a student of class 7 ICSE, it’s an essential book to practice maths.
- “Essential ICSE Mathematics for Class 7” by A.D. Gupta & A. Kumar of Bharati Bhavan publications is also one of the best books for students of ICSE class 7. The subject contained in this book is explained in easy language and covers many examples from real-life situations.
- Another good reference book for ICSE class 7 students is “ICSE Guided Mathematics Class 7” by Abhijit Mukherjee of Oxford Publications. It is also one of the best books for students of ICSE class 7 as it covers all the topics in detail and also provides solved examples to help students understand the concepts better.

## FAQs

### What are the topics in the class 7 ICSE maths syllabus?

The class 7 ICSE maths syllabus is divided into six major parts: Number System, Commercial Mathematics, Algebra, Geometry, Mensuration, and Data Handling.

### Is ICSE harder than CBSE?

ICSE Syllabus is considered to be more difficult than CBSE. Because the ICSE syllabus has more internal assessments and concepts as compared to CBSE.

## Summary

In conclusion, the ICSE Class 7 Maths Syllabus is designed to challenge and improve students’ understanding of the subject. The coursework is demanding but ultimately rewarding, and students who complete it will be well-prepared for further study in mathematics.