case study for class 7 maths ncert

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CBSE 7th Standard CBSE Mathematics question papers, important notes , study materials , Previuous Year questions, Syllabus and exam patterns. Free 7th Standard CBSE Mathematics books and syllabus online. Practice Online test for free in QB365 Study Material. Important keywords, Case Study Questions and Solutions. Updates about latest education news and Scholorships in one place.

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CBSE Case Study Questions for Class 6 – 10, 12 for Maths, Science, SST

Cbse case study questions for maths, science, social science.

CBSE Case Study Questions:   Case Study Questions for all Class 1, 2, 4, 5, 6, 7, 8, 9,10, 11 and 12 by Experienced Teachers. We Net Ex. Arranged here Important Case Based Questions for CBSE Board – Maths, Science, Social Science, English.

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• Mathematics

Class 7 Maths NCERT Solutions, MCQ Tests, Practice Papers

• CBSE Syllabus

CBSE Sample Papers

Cbse last year papers, user submitted papers.

• Fractions and Decimals
• Data Handling
• Simple Equations
• Lines and Angles
• The Triangle and its Properties

Congruence of Triangles (Deleted)

• Comparing Quantities
• Rational Numbers

Practical Geometry (Deleted)

• Perimeter and Area
• Algebraic Expressions
• Exponents and Powers
• Visualising Solid Shapes
• CBSE Revision Notes

CBSE Worksheets

Other useful resourses,   online tests,   learning videos.

CBSE class 7 course material in Mathematics includes the best free videos, online tests, worksheets, previous years' papers, and homework help.

Study Material for Class 7 Mathematics

Here on myCBSEguide, you get all the study material for Class 7 Maths like syllabus, practice questions, revision notes, test papers, sample papers, worksheets, etc. We also provide learning videos for each chapter where understanding the concepts and their application becomes much easier. The  myCBSEguide App  is known for providing quality study material in all the subjects of CBSE. Our sample papers and other educational resources for secondary and senior secondary are the most sold products. 

Not all our products are monetized, some of the most pertinent sections like the NCERT solutions are available free of cost. 

CBSE Class 7 Maths Syllabus

Knowing the syllabus correctly is the first step of preparation. So, to know the CBSE Class 7 Maths syllabus or get any other information related to the syllabus, one can check myCBSEguide . Here you need to select your Board, Class, and Subject to get the details of your desired 

The following chapters are included in the Class 7 syllabus:

Class 7 Maths Downloads

Since we provide a variety of study materials which include online MCQ tests, learning videos, and question papers. All these items have a different format, here we bring you the list of class 7 Maths download items that are available in our Class 7 Maths section of the CBSE module.

In our Downloads  section, you get the following things which can be easily downloaded in PDF format. 

• Syllabus CBSE Syllabus
• Sample Papers CBSE Sample Papers
• Last Year Papers CBSE Last Year Papers
• Revision Notes CBSE Revision Notes
• Worksheets CBSE Worksheets

CBSE Class 7 NCERT Textbook and Solution

The NCERT is important for the CBSE board as the syllabus is based on it. On our student's  dashboard , CBSE Class 7 Maths NCERT Solution includes all the questions provided in the NCERT text book which is prescribed for class 7 Maths in schools. The questions provided in the NCERT textbook help you to get a thorough understanding of the concepts. Hence, we provide the solutions along with the NCERT questions for class 7 Maths. These are available in myCBSEguide for free to view and download. You can check chapter-wise details for  NCERT Solutions for Class 7 Maths  here.

Class 7 Maths  Test Papers and Sample Question Papers

The sample question papers for Class 7 Maths provided on  myCBSEguide  are mostly question papers from different schools. We also have a section of previous years' questions where you find an assortment of questions asked in various schools in various levels of class 7 Maths school examination. Basically, the idea is to make the students well aware of all possible question typologies for Class 7 Maths. Our question bank for class 7 Maths guarantees success for the students because it exposes them to all types of situational questions.

Class 7 Maths Online Tests and Learning Videos

Students preparing for other competitive examinations or even for their normal school examinations must try our  Online Tests  for class 7 Maths. It teaches them to be time-bound while preparing them to take computer-based examinations. Online tests have also become important post-Covid period since we never know what would the future demand. So it is better to prepare our kids to take up any challenge and face any kind of situation. Online learning is one such preparatory tool.

Chapter-wise learning videos for CBSE Class 7 Maths are available on myCBSEguide. Students who face problems understanding a mathematical concept can refer to these videos for a better understanding of the subject. Our class 7 Maths Learning Videos have helped many children and parents who believe in self-preparation rather than depending upon any tuition or coaching classes for elementary education.

Class 7 Maths Case Study Questions

Being the latest format of competency-based questions, Case-Based Questions have now become the new parameter for testing students' in-depth knowledge of a subject. It is so because these questions are mostly based on real-life situations. Case-based questions can be commonly found for the secondary and senior secondary levels. But case study questions for the elementary classes, that too of assured quality are hard to find. We bring you the best kind of case study questions for class 7 Maths on our students' dashboard. We have just begun with this and intend to add up more and more verified content to this section. 

• NCERT Solutions for Class 07

Students can download class 7 textbook questions and answers in form of NCERT solution from the myCBSEguide App or Student Dashboard for CBSE students. NCERT publishes books for CBSE and many state boards. In class 7, NCERT has books on English, Hindi, Science Social Science and mathematics. NCERT Solutions – …

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CBSE Worksheets for Class 7 All Subjects

CBSE Worksheets for Class 7 All Subjects Maths, Science, Social Science, English and Hindi are available in myCBSEguide App for free download. Worksheets help students to practice the concepts. The most important thing about these practice sets is their composition. We know, creating worksheets is a time-consuming task. Sometimes, we …

NCERT Solutions for Class 7 Maths

NCERT Solutions for Class 7 Maths includes all the questions provided in NCERT Books for 7th Class Maths Subject. Here all questions are solved with detailed explanation and available for free to check mycbseguide.com. Book: National Council of Educational Research and Training (NCERT) Class: 7th Class Subject: Mathematics NCERT solutions …

NCERT Solutions for Class 8 Maths Exercise 7.2

NCERT Solutions for Class 8 Maths Exercise 7.2 Class 8 Maths book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from …

NCERT Solutions for Class 7 Maths Exercise 2.3

NCERT Solutions for Class 7 Maths Exercise 2.3 book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. …

NCERT Solutions for Class 7 Maths Exercise 6.2

NCERT Solutions for Class 7 Maths Exercise 6.2 book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. …

NCERT Solutions for Class 7 Maths Exercise 10.6

NCERT Solutions for Class 7 Maths Exercise 10.6 book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. …

NCERT Solutions for Class 7 Maths Exercise 15.2

NCERT Solutions for Class 7 Maths Exercise 15.2 book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. …

NCERT Solutions for Class 7 Maths Exercise 2.4

NCERT Solutions for Class 7 Maths Exercise 2.4 book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. …

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NCERT Solutions For Class 7 Maths

Ncert solutions for class 7 maths cbse 2023-24 edition – free pdf download.

NCERT Solutions for Class 7 Maths are provided here. Practising NCERT Solutions is the ultimate need for students who intend to score good marks in Maths examinations. Students facing trouble in solving problems from the NCERT textbook of Class 7 can refer to our free NCERT Solutions  provided below.

Students are advised to practise Class 7th NCERT Solutions, which are available in PDF format, as it helps them understand the basic concepts easily. For students who feel stressed searching for the most comprehensive and detailed NCERT Solutions for Class 7 , we at BYJU’S have prepared step-by-step solutions with detailed explanations. These exercises are prepared by our expert tutors to assist you in your exam preparation and help you attain good marks in the subject.

NCERT Solutions Class 7 Maths (Chapter-Wise)

The following chapters have been removed from the NCERT Class 7 Maths textbook 2023-24.

Congruence of Triangles

Practical Geometry

In addition, students are given access to additional online study materials and resources, available in BYJU’S website, such as notes, books, question papers, exemplar problems, worksheets, etc. Students are also advised to practice Class 7 Sample Papers to get an idea of the question paper pattern in the final exam.

NCERT Exercise-Wise Solutions for Class 7 Maths

Students are advised to go through these NCERT Solutions for Class 7 . All the solutions are in line with the CBSE guidelines and presented in a stepwise manner so that students can understand the logic behind every problem while practising.

Chapter 1 Integers

Chapter 1 involves the study of Integers. In the previous classes, we have learnt about whole numbers and integers. Now, we will study more about integers , their properties and operations. Likewise, the addition and the subtraction of the integers, properties of addition and subtraction of integers, multiplication and division of integers, properties of multiplication and division of integers.

Here you can find exercise solution links for the topics covered in this chapter.

Also, access the following resources for Class 7 Chapter 1 Integers  at BYJU’S:

• Integers Class 7 Notes: Chapter 1
• RD Sharma Solutions For Class 7 Maths Chapter – 1 Integers
• NCERT Exemplar Solutions for Class 7 Maths Chapter 1 Integers

Chapter 2 Fractions and Decimals

Chapter 2 of NCERT textbook, deals with Fractions and Decimals. You have learnt about fractions and decimals along with the operations of addition and subtraction on them, in earlier classes. We will now study the operations of multiplication and division on fractions as well as on decimals.

Likewise, multiplication of a fraction by a whole number , multiplication of a fraction by a fraction, division of the whole number by a fraction, division of a fraction by a whole number, multiplication of decimal by 10,100, 100, etc. Other topics are multiplication of decimal by whole number, multiplication of decimal by a decimal, division of decimals by 10, 100, 1000, etc., and dividing a decimal by the whole number.

Also, access the following resources for Class 7 Chapter 2 Fractions and Decimals  at BYJU’S:

• Fractions and Decimals Class 7 Notes: Chapter 2
• NCERT Exemplar Solutions for Class 7 Maths Chapter 2 Fractions and Decimals
• RD Sharma Solutions For Class 7 Maths Chapter 3 – Decimals
• RD Sharma Solutions For Class 7 Maths Chapter – 2 Fractions

Chapter 3 Data Handling

Chapter 3 of NCERT textbook deals with Data Handling. In your previous classes, you have dealt with various types of data. You have learnt to collect data, tabulate and put it in the form of bar graphs. Now in this chapter, we will take one more step towards learning how to do this. This chapter covers topics like collecting data, organisation of data, representative values, arithmetic mean , mode of large data, median, use of bar graphs with a different purpose, choosing scale, chance and probability.

Here, you can find exercise solution links for the topics covered in this chapter.

Also, access the following resources for Class 7 Chapter 3 Data Handling  at BYJU’S:

• Data Handling Class 7 Notes: Chapter 3
• RD Sharma Solutions for Class 7 Maths Chapter 23 – Data Handling – II Central Values
• NCERT Exemplar Solutions for Class 7 Maths Chapter 3 Data Handling

Chapter 4 Simple Equations

Chapter 4, Simple Equations of NCERT textbook deals with setting up an equation and solving an equation. By solving more equations, we shall learn transposing a number, i.e., moving it from one side to the other. We can transpose numbers instead of adding or subtracting it from both sides of the equations . Then we study from solution to an equation, applications of simple equations to practical situations.

Also, access the following resources for Class 7 Chapter 4 Simple Equations  at BYJU’S:

• Simple Equations Class 7 Notes: Chapter 4
• NCERT Exemplar Solutions for Class 7 Maths Chapter 4 Simple Equations
• RD Sharma Solutions For Class 7 Maths Chapter – 8 Linear Equations in One Variable

Chapter 5 Lines and Angles

This chapter is about Lines and Angles. This chapter includes related angles, complementary angles, supplementary angles, adjacent angles, linear pair , vertically opposite angles, pairs of lines, intersecting lines, transversal, the angle made by a transversal, transversal of parallel lines and checking of parallel lines.

Also, access the following resources for Class 7 Chapter 5 Lines and Angles  at BYJU’S:

• Lines and Angles Class 7 Notes: Chapter 5
• RD Sharma Solutions for Class 7 Maths Chapter 14 Lines And Angles
• NCERT Exemplar Solutions for Class 7 Maths Chapter 5 Lines and Angles

Chapter 6 The Triangle and Its Properties

Chapter 6 of NCERT textbook discusses the topic The Triangle and Its Properties. Triangle is a simple closed curve made of three line segments. It has three vertices, three sides and three angles. It covers the concepts median of a triangle, altitude of a triangle, exterior angle of a triangle and its property, angle sum property of a triangle, two special triangles – equilateral and isosceles, the sum of the lengths of two sides of a triangle, right-angled triangles and Pythagoras property.

Also, access the following resources for Class 7 Chapter 6 The Triangle and Its Properties  at BYJU’S:

• Triangles and Its Properties Class 7 Notes: Chapter 6
• RD Sharma Solutions for Class 7 Maths Chapter 15 Properties of Triangles
• NCERT Exemplar Solutions for Class 7 Maths Chapter 6 Triangles

Chapter 7 Congruence of Triangles

This chapter is about the Congruence of Triangles. If two figures have exactly the same shape and size, they are said to be congruent. Other related topics are congruence of plane figures, congruence among line segments, congruence of angles, congruence of triangles , criteria for congruence of triangles, congruence of right-angled triangles.

Also, access the following resources for Class 7 Chapter 7 Congruence of Triangles  at BYJU’S:

• Congruence of Triangles Class 7 Notes: Chapter 7
• RD Sharma Solutions for Class 7 Maths Chapter 16 Congruence

Chapter 8 Comparing Quantities

Chapter 8 of NCERT textbook deals with the Comparing Quantities. Its related topics are equivalent ratios, percentage   – another way of comparing quantities, the meaning of percentage, converting fractional numbers to a percentage, converting decimals to a percentage, converting percentages to fractions or decimals. Other interesting topics are fun with estimation, interpreting percentages, converting percentages to how many, ratios to percents, increase or decrease as per cent, profit or loss as a percentage, charge given on borrowed money or simple interest.

Also, access the following resources for Class 7 Chapter 8 Comparing Quantities  at BYJU’S:

• Comparing Quantities Class 7 Notes: Chapter 8
• NCERT Exemplar Solutions for Class 7 Maths Chapter 7 Comparing Quantities
• RD Sharma Solutions for Class 7 Maths Chapter 12 Profit And Loss

Chapter 9 Rational Numbers

Chapter 9 of NCERT textbook discusses the topic of Rational Numbers. It covers 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 and operations on rational numbers.

Also, access the following resources for Class 7 Chapter 9 Rational Numbers  at BYJU’S:

• Rational Numbers Class 7 Notes: Chapter 9
• RD Sharma Solutions For Class 7 Maths Chapter – 4 Rational Numbers
• NCERT Exemplar Solutions for Class 7 Maths Chapter 8 Rational Numbers

Chapter 10 Practical Geometry

Chapter 10 of NCERT textbook discusses the topic of Practical Geometry. You are familiar with a number of shapes. You learnt how to draw some of them in the earlier classes. For example, you can draw a line segment of a given length, a line perpendicular to a given line segment, an angle, an angle bisector , a circle etc. Now, you will learn how to draw parallel lines and some types of triangles. Topics covered in this chapter are the construction of a line parallel to a given line, through a point not on the line, construction of different types of triangles.

Also, access the following resources for Class 7 Chapter 10 Practical Geometry  at BYJU’S:

• Practical Geometry Class 7 Notes: Chapter 10
• NCERT Exemplar Solutions for Class 7 Maths Chapter 12 Practical Geometry Symmetry and Visualising Solid Shapes
• RD Sharma Solutions for Class 7 Maths Chapter 17 Constructions

Chapter 11 Perimeter and Area

This chapter is about Simple Interest. In Class 6, you have already learnt perimeters of plane figures and areas of squares and rectangles. Perimeter is the distance around a closed figure while the area is the part of a plane or region occupied by the closed figure. In this class, you will learn about perimeters and areas of a few more plane figures.

Also, access the following resources for Class 7 Chapter 11 Perimeter and Area  at BYJU’S:

• Perimeter and Area Class 7 Notes: Chapter 11
• NCERT Exemplar Solutions for Class 7 Maths Chapter 9 Perimeter and Area
• RD Sharma Solutions for Class 7 Maths Chapter 20 Mensuration – I (Perimeter and area of rectilinear figures)

Chapter 12 Algebraic Expressions

In Chapter 12, Algebraic Expressions of NCERT textbook deals with terms of an expression, coefficients, like and unlike terms, monomials, binomials, trinomials, polynomials , addition and subtraction of algebraic expressions, finding the values of an expression.

Also, access the following resources for Class 7 Chapter 12 Algebraic Expressions  at BYJU’S:

• Algebraic Expressions Class 7 Notes: Chapter 12
• NCERT Exemplar Solutions for Class 7 Maths Chapter 10 Algebraic Expressions
• RD Sharma Solutions For Class 7 Maths Chapter – 7 Algebraic Expressions

Chapter 13 Exponents and Powers

Chapter 13 of NCERT textbook discusses the topic Exponents and Powers. Exponents are the product of rational numbers multiplied several times by themselves. Some of the concepts covered here are 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.

Also, access the following resources for Class 7 Chapter 13 Exponents and Powers  at BYJU’S:

• Exponents and Powers Class 7 Notes: Chapter 13
• NCERT Exemplar Solutions for Class 7 Maths Chapter 11 Exponents and Powers
• RD Sharma Solutions For Class 7 Maths Chapter – 6 Exponents

Chapter 14 Symmetry

This chapter is about Symmetry. Symmetry means that one shape becomes exactly like another when you move it in some way, turn, flip or slide. For two objects to be symmetrical, they must be the same size and shape, with one object having a different orientation from the first. There can also be symmetry in one object, such as a face. Topics covered in this chapter are lines of symmetry for regular polygons, rotational symmetry , line symmetry and rotational symmetry.

Also, access the following resources for Class 7 Chapter 14 Symmetry  at BYJU’S:

• Symmetry Class 7 Notes: Chapter 14
• RD Sharma Solutions for Class 7 Maths Chapter 18 Symmetry

Chapter 15 Visualising Solid Shapes

In Chapter 15, Visualising Solid Shapes of NCERT textbook deals with the plane figures and solids, faces, edges, vertices, nets for building 3-D shapes, drawing solids on a flat surface, oblique sketches, isometric sketches. Some more concepts covered in this chapter are visualising solid objects , viewing different sections of a solid, then another way is by shadow play.

Also, access the following resources for Class 7 Chapter 15 Visualising Solid Shapes  at BYJU’S:

• Visualising Solid Shapes Class 7 Notes: Chapter 15
• RD Sharma Solutions for Class 7 Maths Chapter 19 Visualising Solid Shapes

The NCERT Solutions are considered one of the best resources to master Maths. The solutions given here are in well-structured format with different shortcut methods to ensure a proper understanding of the concept and scoring good marks in Maths.

Benefits of Class 7 Maths NCERT Solutions

These solutions are prepared by expert tutors.

• NCERT Class 7 Solutions are explained step by step in a comprehensive manner.
• Chapter-wise and Exercise-wise solutions are also given in PDF format, which students can download for free and access offline.
• Formulas are mentioned in between steps to help students recall them easily.
• Apart from clearing doubts, these solutions also give in-depth knowledge about the respective topics.

Keep visiting BYJU’S to get more updated learning materials and download the BYJU’S app for a better and personalized learning experience, along with engaging video lessons.

Frequently Asked Questions on NCERT Solutions for Class 7 Maths

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NCERT Solutions For Class 7 Maths

NCERT Solutions for Class 7 Maths are provided here. Maths is an essential and exciting subject. Still, most of the students lose their interest from maths as they can not identify a way to solve the problems. NCERT Solutions for Class 7 Maths provided here are prepared by our subject expert teachers. These solutions covered all the problems of NCERT textbook and solved them step by step so that students can properly understand each question.

All our solutions are as per the latest CBSE syllabus and guidelines. Hence, they are very essential from examinations perspective. Download the NCERT Solutions for Class 7 Maths for free in PDF format and practice them regularly to score excellent marks in the exam.

Class 7 Maths Textbook Solutions – Free PDF

• 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 Expression
• Chapter 13 Exponents and Powers
• Chapter 14 Symmetry
• Chapter 15 Visualising Solid Shapes

NCERT Solutions for Class 7 Maths Free PDF Download

Ncert solutions for class 7 maths.

NCERT textbooks are prescribed by the Central Board of Secondary Education (CBSE). We have compiled all the NCERT solutions for class 7 Maths for reference. These NCERT solutions are chapter-wise and will help you to prepare in the best possible manner for your exams.

Mathematics is a subject that requires a clear understanding of the concepts, logic and a lot of practice. Hence, we are providing you all the NCERT solutions for class 7 Maths. Our solutions cover all the basic concepts for class 7 Maths.

Our NCERT solutions for class 7 Maths are made by our team of highly experienced and qualified faculties. Our NCERT solutions for class 7 Maths will give you a complete grasp over the subject and shall help you in scoring higher marks. However, in case of doubts, in NCERT solutions for class 7 Maths, we have a team of teachers who are ready to solve your doubts any time and are just a click away.

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Download NCERT Solutions of Class 7 Maths from the links below, more links will be updated soon.

• 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 – Visualizing Solid Shapes

CBSE Class 7 Maths Chapter-wise NCERT Solutions

Ncert solutions for class 7 maths chapter 1 – integers.

In this chapter, the students will study whole number, natural numbers, negative numbers, integers, basics of integers, application of integers, addition, and subtraction of the integers, commutative property, associative property, additive identity, multiplication of integers, and division of integers.

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

In this chapter, the students will learn the properties and operations like multiplication and division of fractions. They will also learn the multiplication and division of the decimals and the portrayal of decimals on the number line.

NCERT Solutions for Class 7 Maths Chapter 3 – Data Handling

This chapter teaches the students how to organize and represent the given data in the form of graphs and charts. It also deals with data and its frequency distribution, bar graphs, pictographs, histograms, pie-charts, probability, Mean, Median and Mode.

NCERT Solutions for Class 7 Maths Chapter 4 – Simple Equations

This chapter teaches the students various methods to solve the simple equations or linear equations with one variable and also the terminology of simple equations.

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

This chapter deals with the basics of Geometry, parallel lines and transversal, pair of lines, angles and its types, Related angles and interior and exterior angles of triangles.

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

In this chapter, the students will learn about the basic concepts of the triangles, properties of triangles, equilateral and isosceles triangles and Right-angled triangle.

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

In this chapter, the students will learn about the congruent figures, congruent line segments, congruent angles, congruent triangles, criteria for congruence of triangles and congruent right-angled triangles.

NCERT Solutions for Class 7 Maths Chapter 8 – Comparing Quantities

This chapter covers topics such as comparison using percentage, uses of percentage, compound interest, discount and commissions, growth and depreciation, profit and loss, ratio and percentage, and Tax.

NCERT Solutions for Class 7 Maths Chapter 9 – Rational Numbers

This chapter teaches the students about the rational numbers, rational numbers on the number line, properties of rational numbers, operations on rational numbers, properties of Whole and Natural numbers, and properties of Integers.

NCERT Solutions for Class 7 Maths Chapter 10 – Practical Geometry

In this chapter, the students will study the construction of circles, construction related to angles, construction related to the Line segment and construction of Quadrilaterals.

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

In this chapter, the students will learn about the concepts of Perimeter and Area of Circles, Squares, Rectangles, Parallelograms, and Triangles.

NCERT Solutions for Class 7 Maths Chapter 12 – Algebraic Expressions

In this chapter, the students will be introduced to the Algebraic Expressions, operations on Algebraic Polynomials, Polynomials and its types and Standard Identities of Binomials and Trinomials.

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

In this chapter, the students will study the powers, exponents, Law of Exponents and application of Law of Exponents.

NCERT Solutions for Class 7 Maths Chapter 14 – Symmetry

In this chapter, the students will learn about the line of Symmetry, Lines of Symmetry, Reflection, and Rotational Symmetry.

NCERT Solutions for Class 7 Maths Chapter 15 – Visualizing Solid Shapes

In this chapter, the students will study what are solid shapes, 2D and 3D figures, Mapping Space and Polyhedrons.

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Solved Questions For You:

Question 1. Give any two real-time examples for congruent shapes.

Answer: Some real-life examples of congruent shapes

Question 3. Ritu ate \(\frac{3}{5}\)  ​  part of an apple and the remaining apple was eaten by her brother Sam. How many parts of the apple did Sam eat? Who had the larger share? by how much?

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NCERT Solutions for Class 7

• NCERT Solutions for Class 7 Geography Chapter 5 Free PDF Download
• NCERT Solutions for Class 7 Geography Chapter 10 Free PDF Download
• NCERT Solutions for Class 7 Maths Chapter 9 Free PDF Download
• NCERT Solutions for Class 7 Maths Chapter 11 Free PDF Download
• NCERT Solutions for Class 7 Maths Chapter 1 Free PDF Download
• NCERT Solutions for Class 7 Maths Chapter 7 Free PDF Download
• NCERT Solutions for Class 7 Maths Chapter 12 Free PDF Download
• NCERT Solutions for Class 7 Science Chapter 10 Free PDF Download
• NCERT Solutions for Class 7 Science Chapter 6 Free PDF Download
• NCERT Solutions for Class 7 Science Chapter 14 Free PDF Download

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NCERT Solutions for Class 7 Maths

NCERT solutions for class 7 maths comprises solutions and analysis of all NCERT textbook sums based on triangles, area, and perimeter of different shapes, data handling, integers, etc. These class 7 maths NCERT solutions are prepared by math geniuses to cater to students of all intelligence levels. Thus, helping CBSE students to develop auxiliary skills and mathematical acumen.

NCERT solutions class 7 maths are extremely helpful for students preparing for home as well as competitive exams. These solutions provide an opportunity for students to develop a robust understanding of mathematics in grade 7. CBSE NCERT solutions for class 7 maths can also be referred to by students belonging to a different board who want to have ironclad mathematical concepts.

NCERT Solutions for Class 7 Maths PDF Download

NCERT Solutions for class 7 maths are explained using the best and most precise techniques. These chapter-wise analysis of questions are available for free pdf download. Depending on whatever topic you are studying, the links to all the solutions are given below.

Class 7 Maths NCERT Solutions Chapter 1 to 15

To ensure that you are well-versed with all topics at the time of an examination, it is imperative to revisit the solutions periodically. These class 7 maths NCERT solutions aid students in developing a better understanding of the topic at hand. You can download the NCERT textbook given below and find exemplary questions on fractions, solid shapes, triangles, and so on.

☛ Download Class 7 Maths NCERT Book

NCERT Solutions for Class 7 Maths Chapter 1

NCERT solutions for class 7 maths chapter 1 integers teach young minds how to work with number lines while performing mathematical operations on signed integers. The most important concepts falling under this chapter are the properties of arithmetic operations such as the addition of two numbers.

Important Formulas:

• Commutative Property: a + b = b + a; a × b = b × a
• Associative Property: (a + b) + c = a + (b + c); (a × b) × c = a × (b × c)
• Distributive Property: a × (b + c) = a × b + a × c
• Multiplicative Identity: 1 × a = a × 1 = a
• Additive Identity: a + 0 = 0 + a = a

Class 7 Maths Chapter 1 Integers

Topics Covered: Class 7 maths NCERT solutions cover problem sums on integer operations, closure property, commutative property, distributive property, associativity, and additive identity. It also encompasses the multiplication and division of two or more signed integers. The chapter has a total of 30 questions out of which 12 are easy, 8 are moderate and 10 are difficult.

NCERT Solutions Class 7 Maths Chapter 2

NCERT solutions class 7 maths chapter 2 fractions and decimals are designed to understand the different categories of fractions and how to work with them. Students are further taught the methods of multiplying fractions and dividing fractions . The succeeding sections deal with decimals and performing arithmetic operations on them.

Chapter 2 Preparation Tips:

NCERT solutions class 7 maths chapter 2 fractions and decimals form the basis for several sister topics hence, students need to build a strong understanding of this topic. For this purpose, they can follow the given tips to streamline their studying process.

• Try to apply the concepts to daily-life problems.
• Revise theories taught in previous grades.
• Regularly practice questions.

Class 7 Maths Chapter 2 Fractions and Decimals

Topics Covered: Multiplication and division of fractions by various kinds of numbers such as fractions or whole numbers, along with simplifying fractions to their lowest form fall under this chapter. Other important topics include comparing decimals, multiplication, and division of decimals as well as associated word problems.

Total Questions: Chapter 2 has 48 questions in total which are categorized as 23 easy sums, 17 medium level, and 8 tough problems.

Class 7 Maths NCERT Solutions Chapter 3

Class 7 maths NCERT solutions chapter 3 data handling teach students how to organize data before performing computations on it and graphically representing it. Arithmetic mean , range, mode, and median are measures of central tendency that students have the opportunity to learn from these solutions.

Class 7 Maths Chapter 3 Data Handling

Topics Covered: Determining the arithmetic mean, range, mode, median are the major statistical topics covered under class 7 maths NCERT solutions . Furthermore, the representation of data using bar graphs and double bar graphs is also included in this chapter.

Total Questions: There are 24 questions in class 7 maths chapter 3 data handling out of which 5 are simple problems, 15 are of moderate difficulty and 4 are tough.

NCERT solutions for class 7 maths chapter 3 provides a bird’s eye view of how to collect and organize data using tables. It also aids students in understanding the tools required to perform computations on data, presenting it in a graphical format, and drawing conclusions from it.

NCERT Solutions for Class 7 Maths Chapter 4

NCERT solutions for class 7 maths chapter 4 simple equations give an insight into how to interpret statements, convert them into the form of an equation, and subsequently solve it. Thus, students get a good idea of how to apply simple equations to practical situations.

Class 7 Maths Chapter 4 Simple Equations

Topics Covered: Converting a statement to an equation, finding the value of an equation by addition and subtraction on both sides, or transposing terms and corresponding word problems fall under the scope of class 7 maths NCERT solutions. The chapter has 18 questions with 6 long answer type sums, 5 medium, and 7 easy problems.

NCERT Solutions Class 7 Maths Chapter 5

NCERT solutions for class 7 maths chapter 5 lines and angles introduce young minds to the formation of different types of angles and their properties, the intersection of lines and the pairs of angles formed as well as the relationship between such angles.

Class 7 Maths Chapter 5 Lines and Angles

Topics Covered: Identifying complementary angles , supplementary angles , adjacent angles , linear pairs, and vertically opposite angles . Furthermore, transversal and pairs of lines are essential topics within this chapter. It consists of 20 questions. 3 are easy, 9 are long answer-type and 8 are moderately challenging problems.

NCERT Solutions Class 7 Maths Chapter 5 Summary:

The chapter gives a quick recap of line segments, ray, and a line. This chapter also teaches students about transversals, categorizes the different types of angles, and gives a relationship among these angles.

Class 7 Maths NCERT Solutions Chapter 6

Class 7 maths NCERT solutions chapter 6 the triangle and its properties give students an in-depth knowledge of the elements of a triangle. It presents students with the important angle sum property of a triangle and the Pythagoras theorem . Moreover, this chapter also includes an explanation of the isosceles and equilateral triangles .

Class 7 Maths Chapter 6 Triangle and its Properties

Topics Covered: Drawing the median and altitude of triangles, determining the exterior angles, and finding the value of unknown angles using the angle sum property. Finally, topics associated with equilateral, isosceles, and right-angled triangle is also covered in this chapter.

Total Questions: Class 7 maths chapter 6 has 21 well-research sums that can be split into 4 tough problems, 9 moderately complex, and 8 easy questions.

NCERT Solutions for Class 7 Maths Chapter 7

NCERT solutions for class 7 maths chapter 7 congruence of triangles starts with giving an introduction to the meaning of congruence between any two figures. Besides this, the chapter discusses the different criteria of congruence between triangles and how to apply them effectively.

Class 7 Maths Chapter 7 Congruence of Triangles

Topics Covered: The congruence of triangles using SSS, SAS, ASA, and RHS criteria is the most important topic covered in this chapter. The chapter has 14 questions. 9 are simple sums based on the congruence theorems, 2 are moderately tough and 3 are complex problems.

Class 7 Maths NCERT Solutions Chapter 8

Class 7 maths NCERT solutions chapter 8 comparing quantities give students the tools required to draw comparisons between two or more quantities and make inferences about them using equivalent ratios . This chapter also includes various concepts based on percentages and how to apply them to real-life problems.

Class 7 Maths Chapter 8 Comparing Quantities

Topics Covered: Using equivalent ratios to determine the value of unknown quantities, converting fractional numbers and decimals to percentages , finding the percent increase or percent decrease , as well as profit and loss and annual interest questions.

Total Questions: Students can find a total of 24 questions in class 7 maths chapter 8 comparing quantities out of which 8 are effortless, 5 are of medium level and 11 require a certain degree of skill from a student. Studying NCERT solutions class 7 maths chapter 8 students will be adept at dealing with converting ratios to percentages, computing interest, and using different mechanisms to compare quantities.

NCERT Solutions for Class 7 Maths Chapter 9

NCERT solutions for class 7 maths chapter 9 rational numbers establish a foundation for the concept of rational numbers. Students have the opportunity to learn about the representation of rationals on a number line , comparison, and reduction of rationals to their standard form, plus performing operations on rational numbers.

NCERT solutions class 7 maths chapter 9 can be best learned by following the tips given below.

• Revising concepts of HCF and LCM from previous classes for reduction of rationals to the standard form.
• Improving calculation speed by regular practice so as to power through questions based on arithmetic operations

Class 7 Maths Chapter 9 Rational Numbers

Topics Covered: Finding rationals between two rational numbers, number line representation and comparison of rationals, as well as multiplying, dividing, adding, and subtracting rational numbers. A set of 14 questions comprise chapter 9 rational numbers. 5 are fairly straightforward, 7 are intermediate, and 2 are difficult problems.

NCERT Solutions Class 7 Maths Chapter 10

NCERT solutions class 7 chapter 10 maths practical geometry edifies students on how to properly use geometrical instruments to construct transversals and parallel lines . Additionally, building triangles using the SSS, SAS, ASA, and RHS criteria are also part of this chapter.

Class 7 Maths Chapter 10 Practical Geometry

Topics Covered: Class 7 maths NCERT solutions incorporate vital topics such as constructing parallel lines and the transversals through them, as well as using the constraints given by the SSS, SAS, ASA, and RHS criteria to construct triangles . Chapter 10 practical geometry has 16 sums on the construction of figures out of which 7 are straightforward questions, 5 are complex and 4 are medium level.

NCERT Solutions for Class 7 Maths Chapter 11

NCERT solutions for class 7 maths chapter 11 perimeter and area educate on the steps required to find the area and perimeter of 2D shapes using different parameters. Moreover, students are given a step-wise explanation on how to employ these concepts while solving word problems.

• Perimeter of a square = 4 × side
• Perimeter of a rectangle = 2 × (length + breadth)
• Area of a square = side × side
• Area of a rectangle = length × breadth
• Area of a parallelogram = base × height
• Area of a triangle = ½ × base × height
• Circumference of a circle = 2πr
• Area of a circle = πr2

Class 7 Maths Chapter 11 Perimeter and Area

Topics Covered: Determining the area and perimeter of squares , rectangles , triangles, parallelograms , and circles . This chapter also covers converting units and applying the concepts mentioned above to real-life problems.

Total Questions: Chapter 11 perimeter and area has 44 well-curated questions. 18 are straightforward formula-based sums, 20 are of moderate complexity, and 6 high-level problems.

Class 7 Maths NCERT Solutions Chapter 12

Class 7 maths NCERT solutions chapter 12 algebraic expressions give an idea of what an expression means and the components that make up an algebraic expression. Students can use these solutions to grasp concepts such as solving polynomials , categorizing, and performing arithmetic operations on them.

Class 7 Maths Chapter 12 Algebraic Expressions

Topics Covered: Using algebra formulas to find their value, along with performing addition and subtraction on general expressions of algebra . The chapter consists of 25 sums with 8 simple questions, 10 are slightly tougher and 7 complex problems.

NCERT solutions for class 7 maths chapter 12 covers a plethora of concepts such as the types of polynomials , addition, and subtraction of like terms as well as finding the value of given algebraic identities .

Class 7 Maths NCERT Solutions Chapter 13

NCERT solutions for class 7 maths chapter 13 exponents and powers describe how to convert an exponent into a number and vice versa. These solutions give the procedure of using laws of exponents and applying them to problems. In addition to this, using exponents to express large numbers is also detailed in this chapter.

Class 7 Maths Chapter 13 Exponents and Powers

Topics Covered: Expressing a number in the form of an exponent, various exponentiation laws, and showing how very large or small numbers can be converted into a standard form using exponents. Chapter 13 exponents and powers cover a total of 17 exemplar problems that be divided into 6 easy sums based on the laws, 7 are challenging and 4 are medium-level questions.

NCERT Solutions for Class 7 Maths Chapter 14

NCERT solutions class 7 maths chapter 14 symmetry provides students with the best possible explanation of concepts related to symmetry such as line of symmetry, rotational symmetry, and how to use them to create designs in our day-to-day lives.

Topics Covered: Questions based on lines of symmetry, identifying rotational symmetry, and a combination of these topics forms a part of class 7 maths NCERT solutions.

Total Questions: Chapter 14 symmetry has a total of 19 sums. 4 are long answer types, 10 are moderately difficult and 5 are simple problems.

NCERT Solutions for Class 7 Maths Chapter 15

NCERT solutions for class 7 maths chapter 15 visualizing solid shapes help students instill the foundation required in higher grades to solve sister topics such as mensuration. It teaches students how to identify the different elements of a solid figure.

NCERT solutions for class 7 maths chapter 15 is of great use especially in the upcoming classes. Students can follow the tips given below to enhance their learning.

• Try to apply the methods used in the textbook to real-life objects.
• Solve numerous questions for practice to develop a strong understanding of the subject.

Class 7 Maths Chapter 15 Visualising Solid Shapes

Topics Covered: Identifying nets with their corresponding solids, isometric and oblique sketches as well as viewing different sections of a solid using various techniques.

Total Questions: Chapter 15 visualizing solid shapes has 14 well-researched questions. 9 are very simple, 3 are slightly difficult while 2 are complex sums.

Class 7 Maths NCERT Solutions Important Formulas

Formulas are some of the most important expressions in mathematics as they serve to increase the speed and accuracy of solving questions. It gives a concise way of conveying vital information using symbolic representations. Thus, students need to understand and memorize several formulas to successfully solve problems. The important formulas covered in NCERT solutions for class 7 maths are listed below .

Proportion Formulas:

• Addition: a/b + c/d = (ad + bc)/bd
• Subtraction: a/b - c/d = (ad - bc)/bd
• Area of Circle = πr 2
• Area of Rectangle = l × b
• Simple Interest, S.I = PTR/100, where P = Principal amount, T = Time, R = Rate of interest per annum

Importance of NCERT Solutions for Class 7 Maths

Class 7 Maths NCERT solutions are extremely helpful for CBSE students as they get an overview of the best techniques that can be used to solve any NCERT questions. The benefits of NCERT solutions for class 7th maths are given below:

• Exam Preparation: During examination days it becomes very difficult for students to solve every question. As every sum is equally important students need a quick run-through of all problems. NCERT solutions for class 7 maths are the perfect way to achieve this goal. They provide a step-wise and detailed analysis of all problems. Students can skim through them and do a quick revision on how to solve each question.
• Time-management: As there are a lot of chapters that are encompassed in the class 7th syllabus hence, students must manage their time well. These class 7 maths NCERT solutions help in completing the coursework well within the given limit. It also leaves enough time for revision.
• Solving Doubts: Many times when a student is attempting a textbook sum he might not be able to solve it completely. This could be due to a careless mistake or a shaky concept. NCERT solutions class 7th maths are precise and well explained thus, clearing any doubts that a student might have.

FAQs on NCERT Solutions for Class 7 Maths

Why are ncert solutions for class 7 maths important.

Young minds need to have reliable guides while studying the class 7 maths syllabus. The NCERT solutions for class 7 maths provide an excellent way to accomplish this goal. Students can not only cross-check their answers but also build a sound understanding of the subject. Students can use these well-researched class 7 maths NCERT solutions to improve their foundational knowledge of class 7 mathematics.

How Students can Utilize Class 7 Maths NCERT Solutions?

To get the most out of the class 7 maths NCERT solutions it is advisable to first ensure that the student understands the theoretical concepts properly. Only after they build their knowledge base consisting of the important theories and formulas for that topic they should proceed to use these NCERT solutions class 7 maths and attempt problems.

Do I Need to Practice all Questions Provided in NCERT Solutions Class 7 Maths?

Every topic within the scope of mathematics is interlinked. Thus, students must practice every question in the NCERT solutions class 7 maths to ensure that there is no gap in learning. The best results can only be obtained through due diligence and constant revision.

Do I Need to Make Notes while Referring to NCERT Solutions for Class 7 Maths?

Students make notes to remember certain points related to a question of concept. Thus, while revising NCERT solutions for class 7 maths students can use these as references and speed up the learning process. Thus, it is always recommended to consult your notes while studying.

Where Can I Get Chapter-wise NCERT Solutions for Class 7 Maths?

Students have full access to easy-to-use exercise-wise NCERT solutions for class 7 maths in the links mentioned above. Moreover, these pdfs are free to download and are compatible with mobile screens.

What are the Important Topics Covered in Class 7 Maths NCERT Solutions?

While learning a subject like math, as a thumb rule, no chapter should be skipped. Thus, all topics within the lessons covered by class 7 maths NCERT solutions are equally important. It is necessary to be well-versed with all topics to score the best possible marks in any examination.

Can We Use Different Methods to Solve Problems Apart From Those Mentioned in NCERT Solutions Class 7 Maths?

Students are free to follow any method apart from the ones used in the NCERT solutions class 7 maths. However, they need to be universally recognized and simple tricks used to solve questions in competitive exams cannot be used.

Why Should I Practice NCERT Solutions for Class 7 Maths Regularly?

The only way to master a subject is by practicing it regularly. Similarly, students should practice NCERT solutions class 7 maths routinely as it helps them stay in touch with the subject. This ensures that students do not forget any concept. Additionally, it also helps students to memorize math formulas easily.

What are the Benefits of NCERT Solutions Class 7 Maths for CBSE Students?

NCERT solutions Class 7 maths help CBSE students to prepare for their exams as the syllabus is based on the NCERT textbooks. Apart from this, these solutions instill a deep-seated knowledge of the subject and help students clear their doubts immediately if they hit a roadblock while solving some problems.

Why Choose Cuemath for Class 7 Maths NCERT Solutions?

Cuemath is the best website available for class 7 Maths NCERT solutions as they have been hand-picked and prepared by math experts such as IITians. These math wizards do proper research to find the most precise and accurate method to solve any question. A student is sure to excel in any exam by using these solutions as references.

NCERT Solutions for Class 6, 7, 8, 9, 10, 11 and 12

The Triangles and its Properties Class 7 Extra Questions Maths Chapter 6

June 11, 2019 by Sastry CBSE

Extra Questions for Class 7 Maths Chapter 6 The Triangles and its Properties

The Triangles and its Properties Class 7 Extra Questions Very Short Answer Type

Solution: (a) In ∆ABC, Angle opposite to BC is ∠BAC (b) Side opposite to ∠ABC is AC (c) Vertex opposite to side AC is B

Solution: (i) PQ = 5 cm, PR = 6 cm and QR = 7 cm PQ ≠ PR ≠ QR Thus, ∆PQR is a scalene triangle. (ii) AB = 4 cm, AC = 4 cm AB = AC Thus, ∆ABC is an isosceles triangle. (iii) MN = 3 cm, ML = 3 cm and NL = 3 cm MN = ML = NL Thus, ∆MNL is an equilateral triangle.

AD is the altitude. AE is the median.

Solution: (i) x + 45° + 30° = 180° (Angle sum property of a triangle) ⇒ x + 75° – 180° ⇒ x = 180° – 75° x = 105° (ii) Here, the given triangle is right angled triangle. x + 30° = 90° ⇒ x = 90° – 30° = 60° (iii) x = 60° + 65° (Exterior angle of a triangle is equal to the sum of interior opposite angles) ⇒ x = 125°

Question 5. Which of the following cannot be the sides of a triangle? (i) 4.5 cm, 3.5 cm, 6.4 cm (ii) 2.5 cm, 3.5 cm, 6.0 cm (iii) 2.5 cm, 4.2 cm, 8 cm Solution: (i) Given sides are, 4.5 cm, 3.5 cm, 6.4 cm Sum of any two sides = 4.5 cm + 3.5 cm = 8 cm Since 8 cm > 6.4 cm (Triangle inequality) The given sides form a triangle.

(ii) Given sides are 2.5 cm, 3.5 cm, 6.0 cm Sum of any two sides = 2.5 cm + 3.5 cm = 6.0 cm Since 6.0 cm = 6.0 cm The given sides do not form a triangle.

(iii) 2.5 cm, 4.2 cm, 8 cm Sum of any two sides = 2.5 cm + 4.2 cm = 6.7 cm Since 6.7 cm < 8 cm The given sides do not form a triangle.

Question 7. One of the equal angles of an isosceles triangle is 50°. Find all the angles of this triangle. Solution: Let the third angle be x°. x + 50° + 50° = 180° ⇒ x° + 100° = 180° ⇒ x° = 180° – 100° = 80° Thus ∠x = 80°

The Triangles and its Properties Class 7 Extra Questions Short Answer Type

Question 9. Two sides of a triangle are 4 cm and 7 cm. What can be the length of its third side to make the triangle possible? Solution: Let the length of the third side be x cm. Condition I: Sum of two sides > the third side i.e. 4 + 7 > x ⇒ 11 > x ⇒ x < 11 Condition II: The difference of two sides less than the third side. i.e. 7 – 4 < x ⇒ 3 < x ⇒ x > 3 Hence the possible value of x are 3 < x < 11 i.e. x < 3 < 11

Question 10. Find whether the following triplets are Pythagorean or not? (a) (5, 8, 17) (b) (8, 15, 17) Solution: (a) Given triplet: (5, 8, 17) 17 2 = 289 8 2 = 64 5 2 = 25 8 2 + 5 2 = 64 + 25 = 89 Since 89 ≠ 289 5 2 + 8 2 ≠ 17 2 Hence (5, 8, 17) is not Pythagorean triplet.

(b) Given triplet: (8, 15, 17) 17 2 = 289 15 2 = 225 8 2 = 64 15 2 + 8 2 = 225 + 64 = 289 17 2 = 15 2 + 8 2 Hence (8, 15, 17) is a Pythagorean triplet.

Question 14. The sides of a triangle are in the ratio 3 : 4 : 5. State whether the triangle is right-angled or not. Solution: Let the sides of the given triangle are 3x, 4x and 5x units. For right angled triangle, we have Square of the longer side = Sum of the square of the other two sides (5x) 2 = (3x) 2 + (4x) 2 ⇒ 25x 2 = 9x 2 + 16x 2 ⇒ 25x 2 = 25x 2 Hence, the given triangle is a right-angled.

The Triangles and its Properties Class 7 Extra Questions Higher Order Thinking Skills (HOTS) Type

(ii) In ∆PQS, we have ∠a + 60° + 55° = 180°(Angle sum property) ⇒ ∠a + 115° = 180° ⇒ ∠a = 180° – 115° ⇒ ∠a = 65° ∠a + ∠b = 180° (Linear pair) ⇒ 65° + ∠b = 180° ⇒ ∠b = 180° – 65° = 115° In ∆PSR, we have ∠b + ∠c + 40° = 180° (Angle sum property) ⇒ 115° + ∠c + 40° = 180° ⇒ ∠c + 155° = 180° ⇒ ∠c = 180° – 155° = 25° Hence, the required angles are a = 65°, b = 115° and c = 25°

Question 18. I have three sides. One of my angle measure 15°. Another has a measure of 60°. What kind of a polygon am I? If I am a triangle, then what kind of triangle am I? [NCERT Exemplar] Solution: Since I have three sides. It is a triangle i.e. three-sided polygon. Two angles are 15° and 60°. Third angle = 180° – (15° + 60°) = 180° – 75° (Angle sum property) = 105° which is greater than 90°. Hence, it is an obtuse triangle.

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NCERT Solutions For class 7 Maths all exercises

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NCERT Solutions for Class 7 Maths Exercises - PDF Solutions

Class 7 Maths has an elaborate CBSE syllabus that covers the different topics of arithmetic, algebra and geometry. Students learn these concepts faster and better when they have a complete study material. To complete your study material, download and refer to the Chapter Wise List of Class 7 Maths All Exercises. These solutions have been compiled following the CBSE guidelines to boost your preparation for this subject.

Every NCERT Solutions is provided to make the study simple and interesting on Vedantu. Subjects like Science, Maths, English 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.

Detailed Overview of Class 7 Maths NCERT Solutions

NCERT Solutions for Class 7 Maths - Chapter-wise List

Given below are the chapter-wise NCERT Solutions for Class 7 Maths . These solutions are provided by the Maths experts at Vedantu in a detailed manner. Go through these chapter-wise solutions to be thoroughly familiar with the concepts.

NCERT Solutions for Class 7 Maths Chapter 1

NCERT Solutions for Class 7 Maths Chapter 2

Ncert solutions for class 7 maths chapter 3, ncert solutions for class 7 maths chapter 4, ncert solutions for class 7 maths chapter 5, ncert solutions for class 7 maths chapter 6, ncert solutions for class 7 maths chapter 7, ncert solutions for class 7 maths chapter 8, ncert solutions for class 7 maths chapter 9, ncert solutions for class 7 maths chapter 10, ncert solutions for class 7 maths chapter 11, ncert solutions for class 7 maths chapter 12, ncert solutions for class 7 maths chapter 13, ncert solutions for class 7 maths chapter 14, ncert solutions for class 7 maths chapter 15.

NCERT Solutions for Class 7 Maths Exercises

What could be better if you get the simpler and readymade solutions of your Class 7 NCERT textbook exercises? Moreover, all these are created by an experienced subject matter expert. Can you imagine how beneficial these could be? Sounds amazing, right! You must opt for these NCERT solutions for Class 7 Maths Exercises right away. You can download NCERT solutions Class 7 Maths Exercises from Vedantu official website (vedantu.com) by registering yourself with your phone number/ email address. You can also access the same study materials from Vedantu app as well. In that case, you need to download the Vedantu app first from Google play store.

You will get Class 7 Maths Exercises NCERT solutions written in a simple and lucid manner. Solve all the problems/ questions given in the exercises and evaluate your performance with these 100% accurate solutions so that you can learn how to write answers to the questions from any perspective during the final exam. Each of the answers in the Maths Exercises NCERT solutions Class 7 is student-friendly and customized by the experts. 

These NCERT solutions Class 7 Maths Exercises contain step-by-step answers to all the questions from the exercise which are considered as an invaluable aid to the students when it comes to regular study, exam preparation or doing homework. Class 7 Maths Exercises NCERT solutions will clear all your doubts in very less time. Hence your confidence will be boosted. By practising the questions from these NCERT books , you will be able to improve your time management skills. That will help you in solving all the questions in the stipulated time frame during the final exam. 

NCERT Solutions for Class 7 Maths Exercises are designed as per the latest CBSE curriculum and guidelines . Vedantu’s study materials are updated regularly as per the latest changes. Hence students of Class 7 who are referring to these materials will be able to score the best marks in the final exam. Once you start using these materials, the preparation for Class 7 exam and scoring the highest percentile amongst your peers will seem like a cakewalk at the end of the day.

NCERT Solutions for Class 7 Maths - All Exercises

Importance of NCERT Maths All Exercises book Class 7 Solutions

The Class 7 Maths syllabus has 15 fundamental chapters that help students to develop their mathematical concepts. Each chapter describes the specific fundamental concepts and mathematical principles along with a set of exercises to solve.

Students can efficiently use the solutions framed by the subject experts of Vedantu to complete preparing these chapters. They can solve the exercise questions without the hassle and proceed with their syllabus preparation accordingly.

Benefits of CBSE 7th Maths All Exercises Book Answers

The solutions have been framed in a simpler version for better comprehension by the students. They can proceed with the syllabus perfectly with the help of these solutions.

Refer to the solutions to resolve doubts related to the exercise questions .

Learn how to solve the problems by adopting the stepwise methods explained by the experts in the solutions.

Gain confidence by referring to the solutions to revise chapters before an exam.

Download Free CBSE 7th Maths All Exercises Book Answers PDF

Perform the NCERT Maths All Exercises book Class 7 Solutions PDF free download and complete your study material . Focus on how the experts have skilfully answered the exercise questions using the concepts of the respective chapters and proceed with your syllabus preparation.

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Important Questions for CBSE Class 7

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FAQs on NCERT Solutions For class 7 Maths all exercises

1.What is the unique method of solving Class 7 Maths exercise questions?

The best method of solving exercise questions can be found in the solutions framed by the experts.

2.How can I use the formulas and concepts of Class 7 Maths?

Follow how the experts have simplified the use of formulas, concepts and principles in the solutions. It will become clearer to you.

3.Can I use the Class 7 Maths solutions to revise?

Once you are done with your chapter preparation, you can proceed to recall the methods and techniques by using solutions of the chapters included in an exam syllabus.

4.How can I increase my focus on solving Class 7 Maths problems?

Keep the fundamental concepts of a chapter in mind. Solve the exercise once you complete preparing a section of the chapter and test your knowledge. Use the solutions to learn the techniques and practice to increase your focus.

5.Is it possible to simplify the Class 7 Maths concepts?

It is possible to simplify the concepts. Learn and try to apply them to solve exercise questions. The application will help you simplify these concepts.