NCERT Solutions For Class 7 Maths Updated 2023-24

Mathematics is an important subject in a student's academic journey, and sometimes it can be seen as difficult. The Physics Wallah team has provided NCERT solutions for Class 7 Math to help you out. We aim to make math clear and easy to understand so you feel more confident. These solutions are valuable for improving your math scores. The most exciting aspect is that you can freely access the NCERT Class 7 Maths Solutions PDF. So, we are here to assist you in the best way possible.

NCERT Solution for Maths

NCERT Solutions for Class 7 Maths Chapter-Wise List

Check out the chapter-wise NCERT Solutions for Class 7 Maths below. Our Maths experts at PW have meticulously prepared these detailed solutions. By studying these solutions, you will understand all the concepts explained in each chapter. Check below the class 7 Math Chapter-wise list

NCERT Solutions Class 7 Maths Chapter-wise List
Chapter 1 - Integers
Chapter 2 - Fractions and Decimals
Chapter 3 - Data Handling
Chapter 4 - Simple Equations
Chapter 5 - Lines and Angles
Chapter 6 - The Triangle and Its Properties
Chapter 7 - Congruence of Triangles
Chapter 8 - Comparing Quantities
Chapter 9 - Rational Numbers
Chapter 10 - Practical Geometry
Chapter 11 - Perimeter and Area
Chapter 12 - Algebraic Expressions
Chapter 13 - Exponents and Powers
Chapter 14 - Symmetry
Chapter 15 - Visualising Solid Shapes

NCERT Solutions for Class 7 Maths Chapter 1 - Integers

In this chapter, students will explore the significance of integers in mathematics, particularly in relation to positive and negative numbers.

The chapter includes the following topics:

  • Introduction to integers, including their relation to natural and whole numbers.
  • Representing integers on a number line and understanding terms like the additive inverse.
  • Exercise 1.1 with 10 questions to practice these concepts.
  • Properties of addition and subtraction of integers, followed by Exercise 1.2 with 4 questions.
  • Multiplication of integers and its properties, with Exercise 1.3 containing 9 questions.
  • Division of integers, with the last exercise, Exercise 1.4, comprising 7 questions.
NCERT Solutions for Class 7 Maths Chapter 1 Integer Exercises
Exercise 1.1
Exercise 1.2
Exercise 1.3
Exercise 1.4

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NCERT Solutions for Class 7 Maths Chapter 2 - Fractions and Decimals

Learning about fractions and decimals is very important because it helps us understand parts of numbers in a better way. These concepts have practical applications in dividing and distributing food, objects, or quantities.

The chapter covers the following topics:

  • Various types of fractions: proper fractions, improper fractions, and mixed fractions.
  • In fractions, we can do different operations like adding, subtracting, multiplying, and dividing them.
  • Comparison of fractions and understanding equivalent fractions.
  • Representing fractions on a number line and ordering them.
  • Study of decimals: comparison, representation on a number line, and addition/subtraction of decimals.

Exercises in the chapter include:

  • Exercise 2.1 with 8 questions on the mentioned concepts.
  • Exercise 2.2 with 8 questions on multiplication of fractions.
  • Exercise 2.3 with 8 questions on multiplying a fraction with another fraction.
  • Division of fractions, including the concept of reciprocals, covered in Exercise 2.4 with 4 questions.
  • Exercise 2.5 with 9 questions for revising decimals.
  • Exercise 2.6 with 5 questions on the multiplication of decimals.
  • Division of decimals, the last concept, covered in Exercise 2.7 with 6 questions.
NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals Exercises
Exercise 2.1
Exercise 2.2
Exercise 2.3
Exercise 2.4
Exercise 2.5
Exercise 2.6
Exercise 2.7

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NCERT Solutions for Class 7 Maths Chapter 3 - Data Handling

Understanding data handling is crucial for storing data securely and ensuring accurate information management.

In Chapter 3 of the NCERT textbook, students will be introduced to the following concepts:

  • Various types of data and how it is collected.
  • Organizing data effectively.
  • Finding the arithmetic mean of a given dataset.

Exercises in this chapter include:

  • Exercise 3.1 with 9 questions on data collection and organisation.
  • Exercise 3.2 with 5 questions focusing on finding the mode and median of data.
  • Introduction to bar graphs and their usage, with 6 questions in Exercise 3.3.
  • Exercise 3.4 with 3 questions covering chances and probability.
NCERT Solutions for Class 7 Maths Chapter 3 Data Handling Exercises
Exercise 3.1
Exercise 3.2
Exercise 3.3
Exercise 3.4

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NCERT Solutions for Class 7 Maths Chapter 4 - Simple Equations

In this chapter, students will explore simple equations useful for solving math problems by relating two expressions on both sides of the equal symbol.

The chapter covers the following topics:

  • Introduction to equations and how to set them up.
  • Solving equations and finding solutions.
  • Applying equations in real-life situations.

The chapter includes 4 exercises to practice and reinforce the concepts learned.

NCERT Solutions for Class 7 Maths Chapter 4 Linear Equations Exercises
Exercise 4.1
Exercise 4.2
Exercise 4.3
Exercise 4.4

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NCERT Solutions for Class 7 Maths Chapter 5 - Lines and Angles

Lines and angles play a significant role in our daily lives, appearing in many places around us. Therefore, students must understand them, as they help calculate lengths and measures of lines and angles. This knowledge is not only beneficial for exams but also for practical applications in real life.

In Chapter 5 of the Class 7 NCERT textbook, students will learn about the basics of geometry. The chapter includes the following topics.

  • Line segments and their endpoints.
  • Understanding angles and different types of angles.

Exercises in this chapter include:

  • Exercise 5.1 with 14 questions focused on various angles.
  • Exercise 5.2 with 6 questions centred around pairs of lines.
NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles Exercises
Exercise 5.1
Exercise 5.2

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NCERT Solutions for Class 7 Maths Chapter 6 - The Triangle and Its Properties

Triangles are common two-dimensional shapes with three sides and three angles, and it's crucial to understand and remember their properties to solve mathematical problems and apply them in real-life situations.

In this chapter, The Triangle and its Properties, we will study the triangle shape in geometry and explore its different properties. The chapter comprises a total of 5 exercises covering the following concepts and topics:

  • Medians of a triangle
  • Altitudes of a triangle
  • Exterior angle of a triangle and its properties
  • Angle sum property of a triangle
  • Two special triangles - Isosceles and Equilateral
  • Sum of the lengths of two sides of a triangle.
  • The Pythagoras property, which is specifically related to right-angled triangles.
NCERT Solutions for Class 7 Maths Chapter 6 The Triangle and its Properties Exercises
Exercise 6.1
Exercise 6.2
Exercise 6.3
Exercise 6.4
Exercise 6.5

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NCERT Solutions for Class 7 Maths Chapter 7 - Congruence of Triangles

Congruence is a significant topic in mathematics as it helps us discover structure, compatibility, and object agreement. Regarding triangles, congruence is one of mathematics's most commonly used concepts.

In this chapter, students will be introduced to the term "congruence." They will learn about the congruence of plane figures, line segments, and angles. Moreover, they will explore the concept of congruence in triangles and the criteria for determining when triangles are congruent. Additionally, the chapter will cover congruence among right-angled triangles.

The chapter contains 2 exercises to practice and apply the concepts learned.

NCERT Solutions for Class 7 Maths Chapter 7 Congruence of Triangles Exercises
Exercise 7.1
Exercise 7.2

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NCERT Solutions for Class 7 Maths Chapter 8 - Comparing Quantities

Comparing different quantities is essential for studying and analysing two or more quantities to understand their relationship or differences.

In our daily lives, we often compare things, and as students reach class 7, they begin to compare more formally. This chapter aims to teach them the true meaning of comparison and how to do it mathematically.

The chapter covers the following concepts:

  • Equivalent ratios and solving 3 questions in Exercise 8.1.
  • Understanding percentages and their practical applications, with 10 questions in Exercise 8.2.
  • Converting ratios to percentages and exploring price-related calculations when buying or selling items.
  • Learning about Simple Interests and solving 11 questions in Exercise 8.3.
NCERT Solutions for Class 7 Maths Chapter 8 Comparing Quantities Exercises
Exercise 8.1
Exercise 8.2
Exercise 8.3

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NCERT Solutions for Class 7 Maths Chapter 9 - Rational Numbers

Rational numbers are essential because they describe certain quantities or measures that cannot be represented by integers alone. They help us accurately measure things like length, mass, time, and other quantities.

Students are familiar with whole numbers, natural numbers, and integers by this stage. In this chapter, they will be introduced to rational numbers. They will learn about the need for rational numbers and what exactly a rational number is. The chapter will cover positive and negative rational numbers and how to represent them on a number line. Students will also be taught about rational numbers in standard form. They will learn how to compare rational numbers, find rational numbers between two given numbers, and perform operations on rational numbers.

The chapter includes 2 exercises to practice and reinforce these concepts.

NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers Exercises
Exercise 9.1
Exercise 9.2

Also Check-

CBSE Class 7 maths Notes for Chapter 9 Rational Numbers

RS Aggarwal Solution for Class 7 Maths Chapter 9 Rational Numbers

NCERT Solutions for Class 7 Maths Chapter 10 - Practical Geometry

Practical geometry helps us better understand constructions used in architecture, sculpture, motion, and more. It also involves identifying shapes and their properties.

In this chapter, students will learn about constructing parallel lines and different types of triangles. The chapter includes 5 exercises to practice and apply these construction techniques.

NCERT Solutions for Class 7 Maths Chapter 10 Practical Geometry Exercises
Exercise 10.1
Exercise 10.2
Exercise 10.3
Exercise 10.4
Exercise 10.5

Also Check- RS Aggarwal Solution for Class 7 Maths Chapter 10 Practical Geometry

NCERT Solutions for Class 7 Maths Chapter 11 - Perimeter and Area

Perimeter and area are vital topics in mathematics that help us measure physical objects and spaces. They are also valuable in solving various algebraic, trigonometric, and calculus problems.

In this chapter, students will explore how to calculate the perimeter and area of different geometrical shapes. They will learn about finding the perimeter and area of squares and rectangles and understanding triangles as part of rectangles. Moreover, they will study the area of parallelograms and triangles, as well as the circumference and area of circles. Students will also learn about converting units and applying perimeter and area concepts in real-life situations.

The chapter includes 4 exercises to practice and reinforce these concepts.

NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area Exercises
Exercise 11.1
Exercise 11.2
Exercise 11.3
Exercise 11.4

Also Check- CBSE Class 7 maths Notes for Chapter 11 Perimeter and Area

NCERT Solutions for Class 7 Maths Chapter 12 - Algebraic Expressions

Studying algebraic expressions and identities empowers students to find unknown values and work with mathematical information effectively. These skills are valuable in solving various mathematical problems.

The chapter focuses on algebra and covers the following concepts:

  • Forming algebraic expressions.
  • Understanding terms in an expression, including like and unlike terms.
  • Learning about monomials, binomials, trinomials, and polynomials.
  • Performing addition and subtraction of algebraic expressions.
  • Finding the value of an expression.
  • Applying algebraic expressions in formulas and rules.

The chapter includes 4 exercises to practice and reinforce these concepts.

NCERT Solutions for Class 7 Maths Chapter 12 Algebraic Expressions Exercises
Exercise 12.1
Exercise 12.2
Exercise 12.3
Exercise 12.4

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NCERT Solutions for Class 7 Maths Chapter 13 - Exponents and Powers

Exponents and powers are super helpful because they make long numbers shorter and easier to read, avoiding the need for writing them in full.

In this chapter, you'll learn all about exponents, the rules for working with exponents, and how to apply these rules. Additionally, you'll explore the decimal number system. The chapter contains 3 exercises to practice what you've learned.

NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers Exercises
Exercise 13.1
Exercise 13.2
Exercise 13.3

Also Check- RS Aggarwal Solution for Class 7 Maths Chapter 13 Exponents and Powers

NCERT Solutions for Class 7 Maths Chapter 14 - Symmetry

Symmetry is super important because it helps us understand and explore objects in an organized way. When something is symmetrical, studying and working with it becomes much easier.

In this chapter, we'll learn all about symmetry in geometry. We'll discover lines of symmetry for regular polygons and explore rotational symmetry too. To ensure you've got it, there are 3 exercises to practice.

NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Exercises
Exercise 14.1
Exercise 14.2
Exercise 14.3

NCERT Solutions for Class 7 Maths Chapter 15 - Visualising Solid Shapes

Solid shapes play a big role in our lives, and it's essential to understand them for many reasons. Learning about solid shapes is valuable and rewarding, from calculating volumes to building impressive structures.

This chapter will explore the different solid shapes we encounter daily. We will learn about their faces, edges, vertices, and even how to draw them on a flat surface. You'll also discover how to visualise these 3D shapes and view different sections of them. We'll even play with shadows and learn about different angles of viewing objects.

NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes Exercises
Exercise 15.1
Exercise 15.2
Exercise 15.3
Exercise 15.3

NCERT Solutions For Class 7 Maths PDF

Check below the NCERT Solution for Class 7 Maths PDF

NCERT Solutions Class 7 Maths Chapter-wise PDF
NCERT Solutions For Class 7 Maths Chapter 1 - Integers
NCERT Solutions For Class 7 Maths Chapter 2 - Fractions and Decimals
NCERT Solutions For Class 7 Maths Chapter 3 - Data Handling
NCERT Solutions For Class 7 Maths Chapter 4 - Simple Equations
NCERT Solutions For Class 7 Maths Chapter 5 - Lines and Angles
NCERT Solutions For Class 7 Maths Chapter 6 - The Triangle and Its Properties
NCERT Solutions For Class 7 Maths Chapter 7 - Congruence of Triangles
NCERT Solutions For Class 7 Maths Chapter 8 - Comparing Quantities
NCERT Solutions For Class 7 Maths Chapter 9 - Rational Numbers
NCERT Solutions For Class 7 Maths Chapter 10 - Practical Geometry
NCERT Solutions For Class 7 Maths Chapter 11 - Perimeter and Area
NCERT Solutions For Class 7 Maths Chapter 12 - Algebraic Expressions
NCERT Solutions For Class 7 Maths Chapter 13 - Exponents and Powers
NCERT Solutions For Class 7 Maths Chapter 14 - Symmetry
NCERT Solutions For Class 7 Maths Chapter 15 - Visualising Solid Shapes

Benefits of Class 7 Math NCERT Books and Solutions

Class 7 Math NCERT books and solutions offer numerous benefits to students, making them an essential resource for learning and understanding mathematics. A few of the main advantages are:

  1. Comprehensive Content: NCERT books provide a well-structured and comprehensive curriculum, covering all the essential topics in mathematics for Class 7.
  2. Easy to Understand: The language utilised in NCERT books is straightforward and easily comprehensible, which enables students to grasp complex mathematical concepts with greater ease.
  3. Concept Clarity: NCERT solutions offer step-by-step explanations for each problem, helping students clarify the underlying concepts.
  4. Logical Progression: The content in NCERT books follows a logical progression, ensuring that students build a strong foundation before moving on to more advanced topics.
  5. Quality Practice Questions: NCERT exercises and solutions consist of quality practice questions that help students reinforce their understanding and develop problem-solving skills.
  6. Useful for Exams: Since NCERT is the recommended textbook for CBSE exams, using these books and solutions helps students prepare effectively for their Class 7 math exams.
  7. Real-Life Applications: The problems and examples in NCERT books are often connected to real-life situations, showing students how math is used in everyday scenarios.
  8. Improves Analytical Skills: When students use NCERT solutions, they can improve their analytical and logical reasoning skills, which are valuable in many areas.

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Physics Wallah is a highly regarded platform for NCERT Solutions for Class 7 Maths, and there are several reasons why students prefer it:

  • Success-Oriented Strategy: The Physics Wallah team has a winning strategy to help students excel in their exams. Their solutions are designed to provide a thorough understanding of the subject, giving students a competitive advantage in their studies.
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  • Marked Important Questions: Physics Wallah emphasises essential questions in their NCERT solutions, helping students focus on crucial topics and concepts. This ensures they are well-prepared for their examinations.
  • Convenient PDF Format: You can find the entire set of NCERT solutions for Class 7 Maths in PDF format. This makes it easy for students to access the solutions on different devices and share them with friends, encouraging collaborative learning.
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NCERT Solutions For Class 7 Maths FAQs

Q1. What are NCERT Solutions for Class 7 Maths?

Ans. NCERT Solutions for Class 7 Maths offer comprehensive and detailed answers to the questions and exercises found in the NCERT textbook for Class 7 Mathematics. They help students understand and solve various mathematical concepts and problems effectively.

Q2. Why are NCERT Solutions important for Class 7 Maths?

Ans. NCERT Solutions for Class 7 Maths are essential because they provide step-by-step explanations and solutions to the questions in the textbook. They help students clarify doubts, grasp concepts, and improve problem-solving skills, leading to better academic performance.

Q3. How can I access NCERT Solutions for Class 7 Maths?

Ans. You can easily access NCERT Solutions for Class 7 Maths by visiting the Physics Wallah platform. These solutions are available in PDF format and can be downloaded for free.

Q4. How can NCERT Solutions for Class 7 Maths help me prepare for exams?

Ans. NCERT Solutions for Class 7 Maths can be instrumental in exam preparation. By studying these solutions and practising the exercises, you can understand the subject deeply and be well-prepared to tackle the exam questions effectively.

Q5. What are some benefits of using Physics Wallah for NCERT Solutions?

Ans. Physics Wallah offers comprehensive and reliable NCERT Solutions for Class 7 Maths. Toppers trust the platform, provide marked important questions, and are accessible on multiple devices, making it a preferred choice for students.

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