 ## Ncert Solution For Class 7 Math

### Ncert Solutions For Class 7 Maths

Ncert Solutions For Class 7 Maths are provided here to help you clear all your doubts and boost your exam preparations. All these Ncert Solutions For Class 7 Maths is very easy to comprehend and help you to understand all the basic concepts in a much better way. These Maths NCERT Solutions Class 7 provides chapter-wise and exercise-based solutions to all the topics in the ncert solution.

You will be able to prepare to excel in your final examinations. The study materials CBSE we provide make it effortless for students to prepare for their examinations. The solutions are the best resources that you can find. Subjects like Science, Maths, English,Social Science will become easy to study if you have access to NCERT Solution for Class 7 Science, Maths solutions and solutions of other subjects. You can also download NCERT Solutions for Class 7 Maths to help you to revise complete syllabus and score more marks in your examinations.

#### NCERT Solution for Class 7 Maths

The Class 7 Maths NCERT book 15 contains Chapters:

### NCERT Solutions for Class 7 Maths – All Chapter Questions

At Utopper, we focus on each chapter and ensure that every topic is discussed in details. It is followed by increased chances of scoring substantially in examinations. Taking into account the equal importance of each chapter, our NCERT Class 7 Maths Solution offers a detailed idea on the following chapters –

• NCERT Solutions for Class 7 Maths Chapter 1: Integers – All Questions

Integers have already been introduced in class 6. A follow up of the same happens in class 7 Mathematics. In Class 7 Maths, you will learn about integers in details and get to practice a wide variety of questions via its four exercises.

7th Class Maths book Solutions focuses on an integer’s properties and operations, with a step by step progression in chapters starting from the following:

• Introduction of integers

• Multiplication of real, positive, and negative integers

• Multiplication of two negative values

• Division, and their properties

There are seven topics in this chapter, along with several sub-topics that provide insight on the following:

1. What is an integer

2. Properties necessary for adding or subtracting integers

3. Commutative and associative property of integers

You will also learn about multiplying positive and negative integers and dividing integers.

There are a total of 30 questions in four exercises in chapter 1, integers. You will find a detailed step by step guide for every question in our study materials. It will help you score better marks and ease your exam preparation.

Refer to our NCERT Solutions for Class 7 Maths, and you will also learn several shortcut techniques that will help you save time during the examination.

• NCERT Solutions for Class 7 Maths Chapter 2: Fractions and Decimals – All Questions

In the second chapter of our NCERT Solutions Class 7 Maths, you will learn about fractions and decimals. Basic functions like addition and subtraction of fraction and decimals were introduced in previous years, whereas Class 7 Maths contains advanced techniques like multiplication and division fractions. In this chapter, you will find

• Multiplication and division by whole numbers and with fractions.

• Reciprocal of fractions.

• Multiplication and division of decimal numbers with 10, 100, and 1000, other whole numbers and decimal numbers.

You will also revisit the addition and subtraction of fractions and decimals in the first exercise of NCERT Solution for Class 7 Maths Chapter 2.

The chapter contains seven topics along with its sub-topics, covering all the essentials of fractions and decimals. Gradually increasing in complexity, the exercises teach about the fundamentals and process of operations and moves on to examples.

• The first three exercises contain eight questions each

• 4th chapter has four questions

• 5th chapter has nine

• 6th chapter has five

• 7th chapter has six questions

All of which is solved following an easy-to-understand and step by step process curated by our expert teachers. You can download our NCERT Maths Solution Class 7 in free PDF format to keep in handy during your exam preparation.

• NCERT Solutions for Class 7 Maths Chapter 3: Data Handling – All Questions

Data handling teaches you to understand and process data provided in graphical or statement form. Our NCERT Solution of Class 7 Maths addresses all the essentials of the chapter, including the following:

• Data handling

• Organisation and representation of values

• Interpreting and collecting of data

• Arithmetic and graphical means for representation

• Median

• Range

• Mode

• Probability

Data handling is an essential chapter in Standard 7 Maths that comprises four exercises and several sub-topics.

The first exercise has nine questions, providing a detailed insight on the introduction of the chapter, collection and organisation of data.

The second exercise deals with representation and arithmetic methods to solve a given set, with five questions for students to solve and practice. It also provides a detailed insight into the range for the chapter.

Exercise three teaches understanding the modes of data. This exercise has six questions that delve in the details of various approaches on modes of large data as well.

Exercise four explains the graphical representation of data using bar graphs, various scales, and medians. This chapter has three questions, all of which are provided with accurate solutions in our NCERT Solutions of Class 7th.

You will also learn about chance and probability relating to various types of data and solve related problems. Additionally, you can always count on our NCERT Solutions for Class 7 Maths to guide the perfect free PDF study material for cross-reference.

Considering that they have been drafted by subject experts, they are accurate and well-equipped with shortcut techniques to facilitate students, especially prior to their examinations.

• NCERT Solutions for Class 7 Maths Chapter 4: Simple Equations – All Questions

Chapter 4 of NCERT Solutions for Class 7 Maths, Simple Equations, provides the first insights into algebra for the students. This chapter provides a thorough insight into the

• Application of simple equations

• Solving various practical problems

• Provides step by step guidelines to understand and create simple solutions from the given situations and solving the same

Chapter 4 has four exercises, each increasing in complexity. The topics and sub-topics start with detailed insight into an equation and teach how to solve an equation. It also provides insight on how to move to equations from a provided solution and how to apply simple equations to practical situations.

The study material for NCERT Maths Solution Class 7 comes with easy to understand solutions explained by our expert teachers. You will find explanations and answers to all the question of the four exercises.

• NCERT Solutions for Class 7 Maths Chapter 5 – Lines and Angles

Chapter 5 lines and angles provide an introductory step into geometry. It contains two exercises and four topics which are:

1. Introduction to lines and angles

2. Related angles

3. Pairs of lines

4. Checking for parallel lines

The topics are further divided into sub-topics, namely:

1. Complementary

2. Supplementary

4. Linear pair

5. Vertically opposite angles

6. Intersecting lines

7. Transversal lines

8. A transversal of parallel lines

Chapter 5 also helps you gain a clear understanding of how different types of angles are present in the real world and how to determine their values with various methods. The geometrical segment of this chapter introduces you to several types of lines and angles, including acute, obtuse, complementary, and supplementary angles.

Utopper’s NCERT Solution for Class 7 offers detailed insight into all the exercise in this chapter. You can follow a detailed guide providing standard explanations on all the problems by referring to our solutions that are available for all other subjects too irrespective to classes.

The simple geometrical representation of the given exercises will offer you a better understanding of the same. All our study materials are as per the syllabus and the latest changes introduced by the CBSE board, ensuring you stay ahead with the latest curriculum and learn how to solve the equations quickly and accurately.

• NCERT Solutions for Class 7 Maths Chapter 6 – The Triangles and its Properties

Chapter 6 of NCERT Solution of Class 7th, Triangle and its Properties, progresses with an understanding of the previous chapter, lines and angles. With this chapter, you are introduced to triangles and various methods to determine its value.

The chapter comprises

1. A complete introduction to triangles,

2. Explanations of medians,

3. Altitudes,

4. Exterior angle

5. Property of a triangle

6. Angle sum property of a triangle.

It contains both graphical and pictorial representation of various problems, and you will have to solve the questions based on the data provided. You will also learn about equilateral and isosceles triangles and how to solve various problems relating to these geometrical patterns. Another important topic covered under this chapter is the details of Pythagoras property.

You will find a detailed explanation of the different types of problems in this chapter. Our study guide provides accurate solutions as well as step by step guides for solving the same.

Prepared by our subject teachers, these NCERT Solutions for Class 7 Maths comprise solutions that come with unique shortcut techniques, thereby catering to the limited time allotted during examinations. All our study materials are available in free PDF format for downloads and offline use.

• NCERT Solutions for Class 7 Maths Chapter 7: Congruence of Triangles – All Questions

Congruence of triangles provides further explanation of the previous chapter, triangles. It teaches the concept of congruence, two triangles that have the same length in their arms and comes with the same three angles.

Chapter 7 of NCERT Class 7 Maths Solution helps you strengthen your foundation and tackle complex problems with ease, ensuring you understand and solve the given problems efficiently.

The chapter contains two exercises which are:

• Exercise one with four questions

• Exercise two with ten questions

These exercises deals in the topics explained in this chapter are as follows:

1. Introduction to the concept of congruence

2. Congruence of plane figures, amongst line segments, angles, and triangles

3. Criteria for congruence of various types of triangles

4. Congruence amongst right-angled triangles

You will find a graphical representation of these types of problems, and our study material will help you understand and familiarise with the concepts, basics, problem-solving methods, and shortcut techniques for Maths NCERT Solutions Class 7.

• NCERT Solutions for Class 7 Maths Chapter 8: Comparing Quantities – All Questions

Chapter 8 of NCERT Class 7 Maths Solution teaches you to determine the ratio and number required for a set number of variables. The problems are based on realistic approaches, aiding students to practice the sums more efficiently.

Chapter 8 contains six topics, covering as mentioned below:

1. The introduction to comparing quantities

2. Equivalent ratios

3. Percentages and its usage

4. Price determination of items

5. Profit and loss

6. Simple interest and charges

You will also find various sub-topics in our NCERT Solutions for Class 7 Maths, like:

• Conversion of fractional numbers and decimals to percentages and vice versa

• Converting percentages to values

• Converting ratios to the percentage

• Increase and decrease in percentages

Our study material for NCERT Solutions of Class 7 Maths contains step by step explanations of the three exercises of this chapter.

1. Exercise one requires you to compare quantities to determine ratios.

2. Exercise two deals in converting fraction to percentage and vice versa. You will learn about the unitary method to compute the answer and convert the numbers in percentage.

3. Exercise three contains problems regarding computation of interest, profit and loss, conversion of ratios into a percentage, etc. With our Class 7 Math Solution, you will be able to apprehend and understand all the following exercise as well as master various shortcut techniques that will prove essential during exams.

• NCERT Solutions for Class 7 Maths Chapter 9: Rational Numbers – All Questions

Rational numbers are fractions comprising of two real numbers, of which at least one does not equal to zero. These fractions consist of a numerator and a denominator, where they can be any number from the entire integer values.

Chapter 9 of the NCERT Solution for Class 7th explains on the number system with the concept of rational numbers and methods to perform addition, subtraction, multiplication, and division.

This chapter explains the concept of an extended number system, where you will find both negative and positive values and fractions comprising of such values to determine a particular set of variables.

There are thirteen topics in chapter 9, explaining

1. What are rational numbers,

2. What is the need for such integers,

3. Positive and negative rational numbers,

4. Representation of the same in a number line and a standard form.

5. Comparison of rational numbers and determining an integer between two rational numbers,

6. Addition, subtraction, multiplication, and division on such numbers.

NCERT Class 7 Maths Book comprises of two exercises for chapter 9, first with ten and second with four problems.

In Utopper’s study material of NCERT Solutions for Class 7 Maths, you will find quality solutions for all of the problems, as well as step by step explanation of the same. All the solutions are crafted by our expert faculties, ensuring the standard of solutions and containing various shortcut techniques for solving problems. Our solutions are available in free PDF format, allowing you to download and practice the same offline.

• NCERT Solutions for Class 7 Maths Chapter 10: Practical Geometry – All Questions

Chapter 10 of NCERT Solutions for Class 7 Maths includes the fundamentals of practical geometry and problem solving based on various geometrical figures. This chapter revisits the basics of geometry learnt in previous classes and adds the know-how of constructing various geometrical shapes as well as creating parallel lines and different types of triangles.

You will go through a diagrammatic representation of various figures as well as step by step demonstration of how to solve various problems related to those geometrical designs. Practical geometry also comprises multiple exercises that teach you to validate whether the provided measurement will be able to satisfy a possible geometrical figure or not.

Chapter 10 comprises of seven topics, which are as follows:

1. Introduction to practical geometry

2. Construction of parallel lines through a given point

3. Plotting a triangle when the measurement of its three sides are provided

4. Construction of a triangle when the length of its two sides and an angle is provided

5. Construction of a triangle when the value of two of its angles and a side is provided

6. SSS, SAS, and ASA criterions

7. How to construct a right-angled triangle with the value of its one sides and hypotenuse (as per the RHS criterion)

Utopper’s 7th Class Maths book Solutions elaborates on the problems provided with all these topics. Chapter 10 has five exercises and a total of 16 problems.

In the study material available in free PDF format, that is, NCERT Solutions for Class 7 Maths, you will find a detailed solution to all these problems, along with step by step explanations on how to progress with the equation. It will help you grasp the theory and approach the topic systematically.

• NCERT Solutions for Class 7 Maths Chapter 11: Perimeter and Area – All Questions

Perimeter and Area in chapter 11 continues based on geometrical calculations students learnt in class 6. This chapter delves in more complex figures, such as the perimeters and area of rectangles, triangles that are part of rectangles, squares, etc.

This chapter also discusses how to calculate the area of a parallelogram, congruent parts of rectangles, and the circumference and area of a circle. Conversion of units and application of parameters and areas are also some of the topics covered in this chapter.

Chapter 9 of NCERT Class 7 Maths book comes with problems involving realistic scenarios. You will find four exercises in this chapter, proceeded by eleven different topics.

You will find a complete introduction on perimeters and areas, followed by squares and rectangles as well as triangles as a part of rectangles. Topics related to other geometric figures such as parallelogram, circles, etc. and conversion of units follow after you master the basic concepts of perimeter and area. You will learn about the application of all the above-mentioned concepts in the last applications section of this chapter.

There are 44 questions in chapter 9, divided between four exercises. With our NCERT Solutions of Class 7 Maths, you will be able to master all these problems and compete in your upcoming exams with ease. All our study materials are made by expert teachers, ensuring the ease of understanding and helping you learn the details of the chapter quickly and efficiently.  You will find solutions for all subjects online.

• NCERT Solutions for Class 7 Maths Chapter 12: Algebraic Expressions – All Questions

Algebraic expressions are mathematical representations of equations that contain both variables as well as constants and require performing algebraic operations such addition subtraction, multiplication and division. There are three primary types of algebraic expressions which are mentioned below,

• Binomial

• Polynomial

• Monomial

In chapter 12 of NCERT Math Solution Class 7, you will learn all these types of algebraic expressions, as well as numeric and variable expressions.

Chapter 12 carries eight different topics, namely – Introduction to algebraic expressions, the different terms of such expressions, factors and coefficients related to the terms of such expressions, and likes and unlike terms. You will also learn about basic operations like addition and subtraction of algebraic expressions, and learn to calculate the value of such problems via the four exercises in this chapter.

You will find a detailed solution of all four exercises of chapter 12 algebraic expressions in our study materials. It will teach you how to implement arithmetic operations and plot tree diagrams using terms derived from different algebraic expressions. You will also learn to calculate the values from a given problem using variables and constants and determining the numerical coefficient of expression in this chapter.

Other than that, you will learn about how to perform basic arithmetic operations, determining an unknown variable from an algebraic expression, and master various formulas and rules required calculating algebraic expressions. These methods will be utilised to solve different types of mathematical problems in this chapter as well as the following chapters.

• NCERT Solutions for Class 7 Maths Chapter 13: Exponents and Powers – All Questions

Chapter 13 of NCERT Solutions of Class 7 Maths elaborates on exponents and powers. You will learn about the following:

1. Different laws exponents

2. Process of multiplying and dividing power with a given base value

3. Multiplying and dividing powers with the same exponent value

4. Laws of exponents

5. How to express large numbers in standard form

6. How to perform the above-mentioned operations using the decimal number system

Chapter 13 will help you strengthen your foundation on exponents and powers, allowing you to solve various subsequent chapters accurately. There are six topics covered under this chapter of Class 7 Math Solution, which are:

1. Introduction to exponents and powers

2. Laws of exponents

3. Miscellaneous examples using the laws

4. The procedure of expressing a large number system in the standard form

5. Applying exponents and powers on a decimal number system

There are also several sub-topic in chapter 13, explaining arithmetic processes like multiplication and division according to the laws of exponents, the process of determining the power of a power, and multiplying and dividing powers with a fixed exponent value.

With Utopper’s study material on NCERT Solutions for Class 7 Maths, you will be able to master all the above-mentioned exercises from chapter 13. All our content is carefully created, keeping in mind the ease of understanding for the student. Our subject experts craft the solutions as per the syllabus, and you will get the download option online for free PDF versions.

• NCERT Solutions for Class 7 Maths Chapter 14 – Symmetry

The concept of symmetry presented in chapter 14 of NCERT Solutions for Class 7 provides the idea of proportionate similarity found in two halves of a body. Symmetric objects are balanced and proportionate similarly; the concept of this chapter revolves around the equal division of the two halves of an object.

In chapter 14, you will learn about the mathematical and real-life application of symmetry. There are four topics covered in this chapter, which are:

1. Introduction to symmetry

2. The symmetry between lines of regular polygons

3. Rotational symmetry

4. The relation between line symmetry and rotational symmetry

The questions are divided into three exercises, exercise one containing ten problems, exercise two containing two problems, and exercise three with seven problems. With the provided guide and step by step solutions, developing a good knowledge of the topic and understanding the concept will become significantly easier when you follow Utopper’s study material.

• NCERT Solutions for Class 7 Maths Chapter 15 – Visualising Solid Shapes

Chapter 15 of NCERT Solutions for Class 7 Maths introduces 3-dimensional shapes and figures as well as teaches you how to identify and calculate different perspective and cross-section of such shapes. You will also learn about how to make particular 3-dimensional objects using nets and cross-sections, and determine how it will represent different sides when it comes to simple objects like a dice.

You will learn about both solid shapes and plane figures, implemented on 2-dimensional and 3-dimensional planes. This chapter also provides detailed insight on faces, edges and vertices of a 3-dimensional plane, as well as nets which can be utilised to build 3-D shapes. You will also learn about oblique sketches and isometric sketches, and learn how to view different segments of a solid object.

You will find a total of 14 questions in chapter 15, divided between four exercises. NCERT Math Solution Class 7 of Utopper provides complete solutions to all these problems, made by our subject experts and available as a free PDF download. You will get in-depth insights about the chapter content and learn about various shortcut techniques and problem-solving methods that will help you secure subject-best marks. You will also be able to familiarise with the content of the chapter which will help in future studies.