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NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs

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VSAT 2023

NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs - Free PDF

Graphs are introduced as a part of the math curriculum in schools. Charts assist students in arranging and examining information logically and making it easier for the students to explain data. Line graphs allow an easy and visible way for the students of all standards to review the information and extract conclusions about mathematical relationships.


Students are introduced to graphs from NCERT solutions of class 8 maths chapter 15. Line graphs include:

  • Grouping

  • More than 

  • Equality

  • Inequality

  • Less than


Students are also aware of the fact that graphs have limits. They do not illustrate all of the information and do not consider any alternate options. With a pictorial graph or a pie chart, students can quickly find a solution. Download free NCERT Solution PDF on vedantu website. Register online for NCERT Solutions for Class 8 Science tuitions which are curated by our expert master teachers.


Important Topics under NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs

Chapter 15 of the Class 8 maths syllabus is Introduction to Graphs. This is an essential chapter covered in the syllabus. The NCERT Solutions for Class 8 Maths Chapter 15 encapsulates all the necessary information required to solve and practise the sums given in this chapter. This chapter has 4 major sections or topics. The following are the major topics that come under the chapter Introduction to Graphs. Going through these topics will ensure easy understanding and practice of the sums covered in this chapter.

  • Types of Graphs in Mathematics

  • Explanation of Different Graphs

  • Questions on Graphical Representation

  • Some Solutions to Graphical Equations

Our advice to the students is that they read through every topic carefully and then solve and practise the NCERT Solutions for Class 8 Maths Ch 15 Introduction to Graphs.

Last updated date: 12th May 2023
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Class 8 Maths Chapter 15 Introduction to Graphs NCERT Solutions - PDF Download

Among different vital chapters in class 8th standard, graphical introduction in class 8 chapter 15 maths helps students evolve the idea of critical thinking and find solutions methodically. Apart from learning visual representation, students can go through several vital chapters like:

  • Linear Equations in One Variable

  • Data Handling

  • Exponents and Powers

  • Mensuration

  • Factorisation

  • Comparing Quantities

  • Squares and Square Roots

  • Understanding Quadrilaterals

  • Rational Numbers

 

NCERT solution for class 8 maths chapter 15 provides different solutions to complicated mathematical problems, regardless of the classes, and also includes maths NCERT solutions class 8 chapter 15. 

 

Class 8 Maths Chapter 15 Includes:

Chapter 15 Introduction to Graphics All Exercises in PDF Format

Exercise 15.1

7 Question and Solutions

Exercise 15.2

4 Questions and Solutions

Exercise 15.3

2 Questions and Solutions


Types of Graphs in Mathematics

While chapter 15 class 8 maths explains fundamental concepts of graphs, its solutions provide answers to the in-text questionnaire. There are different divisions of charts, and each graphical division is utilised in separate chapters. 

 

Explanation of Different Graphs

Different graphs have different functions to perform in class 8 maths chapter 15. The procedures of different graphs are explained below:

  • A Bar Graph shows a contrast between classifications. It may consist of rectangles, parallel, vertical and horizontal bars.

  • Pie Graphs, also called Circle Graph, compares a whole part.

  • Histogram shows data in intervals, and it consists of adjacent bars over the intervals.

  • Line Graphs presents data that get modified constantly over a while.

 

Questions on Graphical Representation

Students are provided with graphical knowledge from NCERT class 8 maths chapter 15 solutions. Some questions solved by visual representation are explained below:

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The above graphical chart displays a patient's temperature in a hospital, which has been noted down every hour. The probable questions that students can find in NCERT maths class 8 chapter 15 are listed below:

  • Patient’s temperature at 1.00 pm?

  • What was the patient’s temperature at 1.30 pm?

  • In which period, the patient showed a growing trend?

  • What were those two times when the patient’s temperature was the same during the given period?

After thoroughly studying the graph, students can quickly answer these questions. Students willing to know more about graphical representation from NCERT class 8 maths chapter 15 solutions can download Vedantu’s official app and get access to free PDF for online courses.

 

Some Solutions to Graphical Equations

It is needless to say how the graphical representation clears the students' concept and teaches them to save time and effort by using graphs to solve a mathematical equation. A graphical representation quickly grabs students’ attention and induces interest among them. There are few solutions below which can help students understand how graphic representation functions in maths NCERT class 8 chapter 15.

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Students can have a precise idea about how to do calculations through graphical charts. To learn more, interested students can visit the official website of Vedantu and get overall guidance regarding class 8 maths chapter 15 solutions. Have  a look at exercise 15.1 , exercise 15.2, and exercise 15.3 to cover all the syllabus for exam preparation.


In the end, it is to be remembered that graphical representation associated with chapter 15 class 8 maths is an essential help for students preparing for exams and assignments.

FAQs on NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs

1. What are the five essential things that a graph needs?

There are five important things that students should keep in mind while drawing a graph, and they are:

  • Axes and Background

  • Grid lines

  • Visual structures

  • Scales and tick marks

  • Text

2. What are the crucial elements of a useful graph?

Among different important elements, five principal features are explained below:

  • The experiment which describes the title

  • The graphical representation should fill the space allocated for the graph

  • Every data point should be arranged in a proper position

  • Each axes should be categorised with the measured quantity and the measuring units

  • A best-fitted line is required

3. What is a useful chart?

To make comparisons, Bar charts are the best option, whereas line charts are good for trends. For relationships and distribution, Scatter plot charts work better, but Pie charts are only utilised for compositions, not for any comparisons or distributions.

4. Where can I download the latest NCERT Solutions for Chapter 15 “Introduction to Graphs” of Class 8 Maths? 

To download Vedantu's NCERT Solutions for Chapter 15 of Class 8 Maths  follow these direct steps:

  • Visit the page NCERT Solutions for Chapter 15 of Class 8 Maths. 

  • Scroll down and click on the option to "Download PDF."

  • The subsequent page will open that carries the link to download the PDF automatically.

These solutions are regularly updated as per the CBSE guidelines and syllabus. Hence, these are the latest solutions you can find online. Moreover, they are available to be downloaded free of charge.

5. Does Vedantu provide answers to all the questions of Chapter 15 “Introduction to Graphs” of Class 8 Maths?

In Chapter 15  "Introduction to Graphs," there are three exercises in total. Vedantu provides detailed answers to each question of these exercises. The solutions are explained step by step with graphs wherever required.  Vedantu's NCERT Solutions for Class 8 Chapter 15 "Introduction to Graphs" provide solutions that are well suited for examinations.  These are prepared after a painstaking process by our experts and hence are reliable. Moreover, Vedantu provides additional explanations of the chapter's concepts to allow students to comprehend the chapter better. These solutions are available free of cost on the Vedantu website and the Vedantu app.

6. How many types of graphs are there in Chapter 15 “Introduction to Graphs” of Class 8 Maths?

Chapter 15 "Introduction to Graphs" teaches the students the basic types and functions of graphs. The various types of graphs introduced in this chapter are as follows:

  • Bar graphs: to compare various categorical data

  • Histograms: to represent data in intervals

  • Pie graphs: to compare parts of a whole

  • Line graphs:  to show continuous change over a certain duration

  • Linear graphs: a whole unbroken line graph

These graphs have several real-time applications, and thus students should pay close attention to this chapter.

7. How do you draw a linear graph?

To draw a linear graph, concepts of plotting points on graph paper, coordinates, and location of points must be clear in your mind.

  • Choose a suitable scale for the x and y-axis.

  • Mark the required quantities accordingly on the x and y-axis.

  • As per the quantities given in the question, plot the points on the graph.

  • Join the plotted points. This should provide you with a straight line on the graph.

8. Why do we use graphs according to Chapter 15 of Class 8 Maths?

Graphs have infinite uses in our lives. They are used for visually representing accurate data for various purposes. Such a graphical representation of collected data is convenient to comprehend.  Graphs can easily represent large quantities that might be difficult to display in text.


You might have often come across various graphs on news channels, magazines, newspapers, etc.  They can be used to depict temperature and weather changes, display annual reports, profits, losses, scores in sports, etc.