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Case Study Questions for Class 8 Maths Chapter 15 Introduction to Graphs

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Here we are providing Case Study questions for Class 8 Maths Chapter 15 Introduction to Graphs.

Introduction to Graphs Class 8 Maths Case Study Questions

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Chapter 13 Class 8 Introduction to Graphs

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Updated for new NCERT Book.

Get NCERT Solutions of all exercise questions and examples of Chapter 13 Class 8 Introduction to Graph s. Answers to all questions are explained in an easy manner, with concepts also explained in theory.

This chapter is all about graphs.

In this chapter, we will

• See Different Types of Graphs like Bar Graph, Double Bar Graph, Pie Chart, Histograms
• Learn what a line graph is, and how to read it
• Draw a line graph
• Learn what a linear graph is
• What is a point, and what are x and y coordinates of the point
• Drawing a linear graph by joining points

Click on an NCERT Exercise link to start (first question will open, and rest questions will be in a list). 

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NCERT Solutions Class 8 Maths Chapter 15 Introduction to Graphs

NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs deals with types of graphs and their applications. Graphing is one of the most important data representation techniques that is a necessary part of the math curriculum. It involves data interpretation and pictorial representation of numerical facts to establish understanding. It is also a systematic approach to compare and explain complex mathematical relationships. With the help of NCERT Solutions Class 8 Maths Chapter 15, students will get well-versed with this topic and its applications in real-world situations.

Having the fundamental knowledge of this subject is important for maths and other subjects. Class 8 Maths NCERT Solutions Chapter 15 is an excellent resource that offers complete learning of the overall syllabus covered in this chapter. With the regular practice of these solutions, students will gain the necessary skills of explaining data in the form of a line graph . The set of problems provided in NCERT Solutions Chapter 15 Introduction to Graphs is suitable to promote students’ logical thinking. To learn and practice this topic in detail, download the exercises provided in the links below.

• NCERT Solutions Class 8 Maths Chapter 15 Ex 15.1
• NCERT Solutions Class 8 Maths Chapter 15 Ex 15.2
• NCERT Solutions Class 8 Maths Chapter 15 Ex 15.3

NCERT Solutions for Class 8 Maths Chapter 15 PDF

NCERT Solutions for Class 8 Maths Chapter 15 are well-framed guides designed by qualified teachers and experts to provide simplistic learning for grade 8 students. The comprehensive format of these solutions is pretty advantageous to explicate accurate subject knowledge. To practice with these solutions, click on the links of the pdf files given below.

☛ Download Class 8 Maths NCERT Solutions Chapter 15 Introduction to Graphs

NCERT Class 8 Maths Chapter 15   Download PDF

NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs

NCERT solutions Class 8 Maths Chapter 15 Introduction to Graphs are proficient in strengthening the basic numeracy skills of students. These well-structured resources are a highly efficient way of data visualization through interesting illustrations. The gradually placed examples provided with exercises offer strategic learning of each and every concept. To practice the exercise-wise NCERT Solutions Class 8 Maths Introduction to Graphs, try the links given below.

• Class 8 Maths Chapter 15 Ex 15.1 - 7 Questions
• Class 8 Maths Chapter 15 Ex 15.2 - 4 Questions
• Class 8 Maths Chapter 15 Ex 15.3 - 2 Questions

☛ Download Class 8 Maths Chapter 15 NCERT Book

Topics Covered: NCERT solutions Class 8 Maths Chapter 15 primarily involves the topics related to types of graphs and their applications. The main topics covered in these solutions are bar graphs , pie graphs or a circle graph, histogram , line graphs, linear graphs , location of a point, coordinates, and some applications of graphs.

Total Questions: Class 8 Maths Chapter 15 Introduction to Graphs has 13 questions, out of which 7 are long answer-type questions, and 6 are short answer-type questions with subparts. These questions are primarily based on performing calculations and comparing data using graphs.

List of Formulas in NCERT Solutions Class 8 Maths Chapter 15

Interpreting the numerical data in graphical form is an important math skill and mastering this skill requires a clear understanding of all the terms as well as concepts related to it. NCERT Solutions Class 8 Maths Chapter 15 will enable the students to easily acquire this understanding of all the necessary concepts used for graphing. Some of the important theories and terms related to graphs explained in these solutions are listed below:

• Bar Graph: A bar graph or bar chart represents data in the form of rectangular bars that are used for comparison among categories.
• Pie Graph: A pie graph or circular graph is a pictorial representation of data that is applied for comparing parts of a whole.
• Histogram: A Histogram is a type of bar graph that displays data in intervals.
• Line Graph: A line graph is used to represent data that changes continuously over periods of time.
• Linear Graphs: A line graph with a whole unbroken line is called a linear graph.
• Coordinates: Coordinates are the numbers that determine the position of a point or a shape on a graph. The value of X and Y coordinates is used for fixing a point on the graph sheet.

Important Questions for Class 8 Maths NCERT Solutions Chapter 15

Ncert solutions for class 8 maths video chapter 15, faqs on ncert solutions class 8 maths chapter 15, what is the importance of ncert solutions for class 8 maths chapter 15 introduction to graphs.

NCERT Solutions for Class 8 Maths Chapter 15 Introduction to graphs are devised according to the latest CBSE syllabus. The NCERT textbooks provide accurate and precise learning. The solutions to these questions will enable students to build the right approach for mathematical problem-solving. The illustrations and sample problems readily available in these solutions are competent to promote a positive mindset in students.

What are the Important Topics Covered in Class 8 Maths NCERT Solutions Chapter 15?

The important topics covered in the NCERT Solutions Class 8 Maths Chapter 15 are a brief introduction to graphs, types of graphs including bar graphs, pie graphs, histograms, line graphs, linear graphs, location of a point, coordinates, and some applications of graphs.

Do I Need to Practice all Questions Provided in Class 8 Maths NCERT Solutions Chapter 15?

The practical examples and questions included in the Class 8 Maths NCERT Solutions Chapter 15 very well explain all the important terms and concepts to provide in-depth learning of graphs, their types, and applications. By practicing each question available in these solutions, students can harness the skills to interpret and represent numerical data in graphical form.

How Many Questions are there in NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs?

NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs has 13 questions in 3 exercises. These three exercises are sufficient to provide an understanding of the whole topic, including terms and techniques related to plotting graphs along with their applications. The pattern of problems covered in these solutions is suitable for step-by-step error-free learning and preparation for exams.

What are the Important Formulas in NCERT Solutions Class 8 Maths Chapter 15?

NCERT Solutions Class 8 Maths Chapter 15 explains the process of analyzing and presenting numerical data in graphical form. Some of the important concepts explained in these solutions are related to bar graphs, pie graphs, line graphs, linear graphs, coordinates, and their applications. These concepts are elaborated in detail with the help of examples and questions based on identifying the type of data as well as converting it into a suitable graphical form.

Why Should I Practice NCERT Solutions for Class 8 Maths Introduction to Graphs Chapter 15?

NCERT Solutions for Class 8 Maths Introduction to Graphs is a trustworthy source of learning that gives guidance and practice to prepare for exams. The topics covered in the CBSE Class 8 maths Chapter 15 are placed in an efficient manner to provide the complete practice of all topics in this chapter. The format of these solutions is simple and easy for students to grasp all complex concepts. Regular practice of these resources will ensure the best results in exams.

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NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs

Introduction to Graphs Class 8 Questions And Answers provided here. These NCERT Solutions are created by expert team at craeers360 keeping the latest syllabus and pattern of CBSE 2023-23. What is a graph? What is the purpose of graphs? What are the types of graphs? In NCERT solutions for Class 8 Maths chapter 15 Introduction to Graphs, you will get answers to all these questions. The graph is a visual representation of data. The purpose of the graph is to show collected data or numerical facts in visual form so that anyone can understand it easily, quickly and clearly.

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Introduction to Graphs Class 8 Questions And Answers PDF Free Download

Introduction to graphs class 8 solutions - important points, introduction to graphs class 8 ncert solutions (intext questions and exercise), class 8 maths chapter 15 ncert solutions -topics, ncert solutions for class 8 maths - chapter wise, key features of introduction to graphs class 8 solutions, ncert solutions for class 8 - subject wise, ncert books and ncert syllabus.

Here you will get the detailed NCERT Solutions for Class 8 Maths by clicking on the link. In Introduction to Graphs class 8 solutions, you will find different types of graphs like - Bar graph, Histogram, Pie graph ( or pie chart or a circle graph), Line graph, and Linear graph in the 3 exercises. These different type of graphs that you will use depends on your data and need. If data changes continuously with the time you will be using a line graph. You can use histogram (bar graph) to show data in any intervals. There are 3 exercises with 65 questions in NCERT the textbook. All these questions are explained in NCERT solutions for Class 8 Maths chapter 15 Introduction to Graphs which will build basic knowledge about the graphs.

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Bar Graph: Used to compare categories or discrete data.

Pie Chart: Best for comparing sections of a whole, typically showing proportions.

Histogram: Useful for simplifying data presented in intervals, especially for frequency distributions.

Line Graph: Beneficial for data that changes continuously over time, showing trends and patterns.

Coordinates: To fix a point on a graph, both x-coordinate (horizontal) and y-coordinate (vertical) are required.

Graph: A graph depicts the relationship between a dependent variable and an independent variable, showing how changes in one variable affect the other.

Free download NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs for CBSE Exam.

NCERT Class 8 maths chapter 15 question answer - exercise: 15.1

Question:1(a) The following graph shows the temperature of a patient in a hospital , recorded every hour .

What was the patient's temperature at 1 p.m

Question:1(b) The following graph shows the temperature of a patient in a hospital recorded every hour.

Question:1(c) The following graph shows the temperature of a patient in a hospital recorded every hour.

(c) The patients temperature was the same two times during the period given these two times are 1 p.m. and 2 p.m.

Question:1(d) The following graph shows the temperature of a patient in a hospital recorded every hour.

What was the temperature at 1:30 p.m? How did you arrive at your answer?

Question:1(e) The following graph shows the temperature of a patient in a hospital recorded every hour.

During which periods did the patients temperature showed an upward trend ?

(e) The patients temperature showed an upward trend- 9 am to 10 am., 10 am. to 11 am. and 2pm to 3pm

Question:2(a) The following line graph shows the yearly sales figure for a manufacturing company.

What are the sales in (1) 2002 (2) 2006 ?

(a) The sales in

(1) 2002 = 4 crore

(2) 2006 = 8 crore

Question:2(b) The following line graph shows the yearly sales figure for a manufacturing company.

What are the sales in (1) 2003 (2) 2005 ?

(b) The sales in

(1) 2003 = 7 crore

(2) 2005 = 10 crore

Question:2(c) The following line graph shows the yearly sales figure for a manufacturing company.

Compute the difference between sales in 2002 and 2006

Question:2(d) The following line graph shows the yearly sales figure for a manufacturing company

In which year was there the greatest difference between the sales as compared to its previous year ?

Question:3(a) For an experiment in Botany , two different plants plant A and plant B were grown under similar laboratory conditions Their heights were measured at the end of each week for 3 weeks The result are shown by the following graph

How high was Plant A after (i) 2 weeks (ii) 3 weeks?

(a) The Plant A after

(i) 2 weeks = 7 cm height.

(ii) 3 weeks = 9 cm height.

Question:3(b) For an experiment in Botany, two different plants, plant A and plant B were grown under similar laboratory conditions. Their heights were measured at the end of each week for 3 weeks. The results are shown by the following graph. How high was Plant B after (i) 2 weeks (ii) 3 weeks?

(b) The Plant B after

(ii) 3 weeks = 10cm height.

Question:3(c) For an experiment in Botany, two different plants, plant A and plant B were grown under similar laboratory conditions. Their heights were measured at the end of each week for 3 weeks. The results are shown by the following graph.

How much did Plant A grow during the 3rd week?

Question:3(d) For an experiment in Botany, two different plants, plant A and plant B were grown under similar laboratory conditions. Their heights were measured at the end of each week for 3 weeks. The results are shown by the following graph.

How much did Plant B grow from the end of the 2nd week to the end of the 3rd week?

Question:3(e) For an experiment in Botany, two different plants, plant A and plant B were grown under similar laboratory conditions. Their heights were measured at the end of each week for 3 weeks. The results are shown by the following graph.

During which week did Plant A grow most?

Question:3(f) For an experiment in Botany, two different plants, plant A and plant B were grown under similar laboratory conditions. Their heights were measured at the end of each week for 3 weeks. The results are shown by the following graph.

During which week did Plant B grow least?

Question:3(g) For an experiment in Botany, two different plants, plant A and plant B were grown under similar laboratory conditions. Their heights were measured at the end of each week for 3 weeks. The results are shown by the following graph.

Were the two plants of the same height during any week shown here? Specify.

(g) At the end of second week, heights of both plants are same.

Question:4(a) The following graph shows the temperature forecast and the actual temperature for each day of a week. On which days was the forecast temperature the same as the actual temperature?

(a) The forecast temperature is the same as the actual temperature on Tuesday, Friday and Sunday.

Question:4(b) The following graph shows the temperature forecast and the actual temperature for each day of a week.

What was the maximum forecast temperature during the week?

Question:4(c) The following graph shows the temperature forecast and the actual temperature for each day of a week .

What was the minimum actual temperature during the week ?

Question:4(d) The following graph shows the temperature forecast and the actual temperature for each day of a week .

On which day did the actual temperature differ the most from the forecast temperature ?

(d) The actual temperature differs the most from the forecast temperature on Thursday.

Question:5(a) Use the tables below to draw linear graphs. The number of days a hill side city received snow in different years.

(a) The linear graph of data given above is as shown :

Question:5(b) Use the tables below to draw linear graphs.

Population (in thousands) of men and women in a village in different years.

(b) The graph of data given above is as shown :

Taking years as x-axis and population as y- axis.

Question:6(a) A courier-person cycles from a town to a neighbouring suburban area to deliver a parcel to a merchant. His distance from the town at different times is shown by the following graph. What is the scale taken for the time axis?

(a) The scale taken for the time axis (x-axis) is 4 units = 1 hour.

Question:6(b) A courier-person cycles from a town to a neighbouring suburban area to deliver a parcel to a merchant. His distance from the town at different times is shown by the following graph.

How much time did the person take for the travel ?

(b) The person travels from 8 a.m. to 11:30 a.m.

Question:6(c) A courier-person cycles from a town to a neighbouring suburban area to deliver a parcel to a merchant .His distance from the town at different times is shown by the following graph .

How far is the place of the merchant from the town ?

(c) The place of the merchant from the town is 22 km away.

Question:6(d) A courier-person cycles from a town to a neighbouring suburban area to deliver a parcel to a merchant . His distance from the town at different times is shown by the following graph.

Did the person stop on his way? Explain.

(d) From 10 a.m. to 10:30 a.m. ,there is a horizontal line which states that person stops from 10 a.m. to 10:30 a.m.

Question:6(e) A courier-person cycles from a town to a neighbouring suburban area to deliver a parcel to a merchant .His distance from the town at different times is shown by the following graph .

During which period did he ride fastest ?

(e) From graph we can observe person travels maximum distance from 8 a.m. to 9 a.m.

Hence,person travels fastest from 8 a.m. to 9 a.m.

Question:7(i) Can there be a time-temperature graph as follows? Justify your answer.

(i) Yes, there can be a time-temperature graph as shown with the increase in time, temperature also increases.

Question:7(ii) Can there be a time-temperature graph as follows? Justify your answer.

(ii) Yes, it is possible that with increase in time temperature decreases.

Question:7(iii) Can there be a time-temperature graph as follows? Justify your answer.

(iii) No,this type of graph is not possible because different temperature at same time are not posiible.

Question:7(iv) Can there be a time-temperature graph as follows? Justify your answer

(iv) Yes, it is possible i.e. same temperature at different time is possible.

NCERT Solutions for Class 8 Maths Chapter 15 Introduction To Graphs - Exercise: 15.2

Question:1(i) Plot the following points on a graph sheet. Verify if they lie on a line

A(4, 0), B(4, 2), C(4, 6), D(4, 2.5)

(a) A(4, 0), B(4, 2), C(4, 6), D(4, 2.5)

Question:1(b) Plot the following points on a graph sheet. Verify if they lie on a line

P(1, 1), Q(2, 2), R(3, 3), S(4, 4)

(b) P(1, 1), Q(2, 2), R(3, 3), S(4, 4)

The graph is as shown :

Question:1(c) Plot the following points on a graph sheet. Verify if they lie on a line

K(2, 3), L(5, 3), M(5, 5), N(2, 5)

(iii) K(2, 3), L(5, 3), M(5, 5), N(2, 5)

Question:2 Draw the line passing through (2, 3) and (3, 2). Find the coordinates of the points at which this line meets the x-axis and y-axis.

As shown below is the graph :

Question:3 Write the coordinates of the vertices of each of these adjoining figures.

The coordinates of vertices are:

Question:4(i) State whether True or False. Correct that are false. A point whose x coordinate is zero and y-coordinate is non-zero will lie on the y-axis .

Question:4(ii) State whether True or False. Correct that are false.

A point whose y coordinate is zero and x-coordinate is 5 will lie on y-axis.

Question:4(iii) State whether True or False. Correct that are false.

The coordinates of the origin are (0, 0).

(iii)True. The coordinates of the origin are (0, 0).

NCERT Solutions for Class 8 Maths Chapter 15 Introduction To Graphs - Topic 15.3 Some Applications

Question:1 In the above example, use the graph to find how much petrol can be purchased for Rs 800.

From the graph given below we can say that for Rs 800 we can buy 16 litres.

Question:2 A bank gives 10% Simple Interest (S.I.) on deposits by senior citizens. Draw a graph to illustrate the relation between the sum deposited and simple interest earned. Find from your graph Try a case of direct variation?

Taking a case of direct variation the graph is as shown below.

Taking sum deposite as 100,200,300,500 ,1000.

and 10% Simple Interest (S.I.).

Class 8 introduction to graphs NCERT solutions - Exercise: 15.3

Question:1(a) Draw the graphs for the following tables of values, with suitable scales on the axes. Cost of apples

(a) Cost of apples

Question:1(b) Draw the graphs for the following tables of values, with suitable scales on the axes . Distance travelled by a car.

(i)How much distance did the car cover during the period 7.30 a.m. to 8 a.m?

Question:1(b) Draw the graphs for the following tables of values, with suitable scales on the axe.

(ii) What was the time when the car had covered a distance of 100 km since it’s star

(ii)From above graph we conclude that at 7:30 a.m., the car had covered a distance of 100 km since it’s start.

Question:1(c) Interest on deposits for a year.

(i) Does the graph pass through the origin?

Taking x axis as 1000 units = 1 box and y axis as 100 units = 1 box.

(i)Yes, the graph pass through the origion.

Question:1(c) Interest on deposits for a year

(ii) Use the graph to find the interest on Rs 2500 for a year.

(ii) Using the graph, the interest on Rs 2500 for a year is Rs 200.

(iii) From the graph,to get an interest of Rs 280 per year Rs 3500 money should be deposited.

Question:2(i) Draw a graph for the following Is it a linear graph

From the above graph ,we conclude that graph is linear.

Question:2(ii) Draw a graph for the following

Is it a linear graph?

• A Bar graph
• A Pie graph (or a circle-graph)
• A histogram
• A line graph
• Linear Graphs
• Location of a point
• Coordinates
• Some Applications

Comprehensive Coverage: Maths chapter 15 class 8 solutions cover all topics and concepts related to graph representations and interpretations as per the Class 8 syllabus.

Step-by-Step Solutions: Class 8 maths ch 15 question answer are detailed, step-by-step explanations for each problem, making it easy for students to understand and apply mathematical concepts related to graphs.

Variety of Problems: A wide range of problems, including exercises and additional questions, to help students practice and test their understanding of graphical representations.

• NCERT Solutions for Class 8 Maths
• NCERT Solutions for Class 8 Science

NCERT Solutions for Class 8 Maths chapter 15 Introduction to Graphs - Benefits

• You will get to know the different applications of the graph based on the need and given data.
• It will help you in your homework as all the practice questions including questions given below every topic are covered in this article.
• You can predict future events with the help of graphs using data of past events.
• You will also get solutions to the practice questions given below every topic which will give you conceptual clarity.
• You should draw the graphs given in the NCERT textbook. You can take help from the NCERT solutions for Class 8 Maths chapter 15 Introduction to Graphs.
• NCERT Books Class 8 Maths
• NCERT Syllabus Class 8 Maths
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• NCERT Syllabus Class 8

Frequently Asked Question (FAQs)

Bar graph, Pie graph, histogram, line graph, linear graphs, location of a point on graph, coordinates, and some applications of graphs are covered in this chapter.

NCERT solutions are provided in a very detailed manner which will give conceptual clarity to the students. Also, they can take help from solutions if they are not able to solve NCERT problems on their own.

Here you will get the detailed  NCERT solutions for class 8  by clicking on the link.

Here you will get the detailed  NCERT solutions for class 8 maths  by clicking on the link.

There are 16 chapters starting from rational number to playing with numbers in the CBSE class 8 maths.

NCERT official is the official website of the NCERT where you can get NCERT textbooks and syllabus from class 1 to 12.

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Introduction to Graphs Class 8 Notes CBSE Maths Chapter 15 (Free PDF Download)

• Revision Notes
• Chapter 15 Introduction To Graphs

Revision Notes for CBSE Class 8 Maths Chapter 15 - Free PDF Download

CBSE chapter 8 is a part of class 8 revision notes introduction to graphs. In these quick revision notes, you will find NCERT class 8 maths chapter 15 revision notes. Vedantu is a platform that provides free CBSE Solutions (NCERT) and other study materials for students. You can also register Online for Class 8 Science and Class 8 Maths tuition on Vedantu.com to score more marks in CBSE board examination.

The Notes of the Chapter Cover the Following Topics

Table of Content

Introduction to Graphs

Type of Common Graphs

Solved Examples on Graphs

Cartesian Plane System

Download CBSE Class 8 Maths Revision Notes 2024-25 PDF

Also, check CBSE Class 8 Maths revision notes for All chapters:

Access Class VIII Mathematics Chapter 15 - Introduction to Graphs Notes

Data presented in a graphical format is easier to comprehend. 

To show comparisons between categories, a bar graph is employed.

To compare portions of a whole, a pie graph is employed.

A histogram is a bar graph with data displayed in intervals.

A line graph depicts data that is constantly changing throughout time.

A linear graph is a graph that consists of a single continuous line.

The $\text{x}$ -coordinate and $\text{y}$ -coordinate are required to fix a point on the graph sheet.

A graph depicts the relationship between the dependent and independent variables.

A Bar Graph:

A graphical representation of numerical data made out of uniformly sized bars (rectangles) with equal spacing. 

Each bar's length (or height) symbolises the provided number.

A Pie Graph:

A pie graph is a visual representation of how sections of a whole are compared. 

The sectors of the circle symbolise the numerous observations or components.

A histogram is a form of bar diagram in which the class intervals are shown on the horizontal axis and the heights of the bars (rectangles) represent the frequency of the class interval, but there is no gap between the bars because the class intervals are not separated by a gap.

Linear Graph:

A line graph with all of the line segments forming one continuous line.

Coordinates:

An ordered pair of numbers represents a point on the Cartesian plane.

Ordered Pair:

A set of numbers in a predetermined arrangement.

Class 8 Maths Notes of Introduction to Graphs

Introduction to graphs in revision notes class 8 maths chapter 15.

Graphs are basically the visual illustrations of the data gathered. Graphical representation enables us to showcase the trend of the data. These graphs are applicable in different fields and it is of great help to the people. There are various types of Graphs and each of these serves a specific purpose.

Points to Remember for Introduction to Graphs

The x-coordinate of a point is actually the distance from the y-axis.

The y-coordinate of a point is actually its distance from the x-axis.

The coordinates of the origin in a graph are valued at (0, 0).

The x-coordinate of each point on y-axis is 0

The y-coordinate of each point on x-axis is 0

A line graph that’s completely an unbroken line is called a linear graph.

A bar graph helps to establish and express comparison among categories.

A pie graph helps to compare parts of a whole.

A line graph shows data that changes constantly over periods of time.

A histogram is a bar graph that depicts data in intervals.

To fix a point on the graph we require, x-coordinate and y-coordinate.

The relationship between dependent variable and independent variable is displayed through a graph.

Types of Graph Represented in Class 8 Revision Notes Introduction to Graphs

A bar graph is a kind of graph which is made to show comparisons between different categories. In this kind of graph, bars of uniform width are used to display the different quantities and their height is kept proportional to their respective values.

The below bar graph is representing the kind of pet people usually own. 

Double Bar Graph

This is almost similar to the bar graph, just that two types of data are shown here correspondingly. Usually, this form of graph is used to display a comparison between two data.

This Double bar graph shows the different sports preferred by male and female students Yellow bars show the sports liked by girls and red bars show the sports liked by boys . Hence we can easily compare the like and dislike of sports in average students.

Also known as Circle Graph is used to represent the given data in the circular form. When the data is represented in a circular form, it is termed as a pie chart. A pie chart basically shows the part of a whole.

This pie chart shows the percentage of people who like particular fruits. From the given pie chart, we can easily obtain that the maximum number of people like bananas and the least number of people like peaches 

We use the line graph when we tend to see the changes continuously over a period of time.

Here the horizontal line (x-axis) displays the number of days and the vertical line (y-axis) displays the number of muffins sold on a particular day on every successive day.

By this line graph, we can easily understand the changes in the sale of muffins during these 7 days of a week. 

Linear Graphs

A whole unbroken line is what we call a Linear Graph.

We can construct a histogram when we have grouped the data in the form of class intervals. It is also a kind of bar graph. The only difference is that there is no gap between the bars as this is a graph of continuous data.

This histogram shows the height of the trees.

Benefits of the Ch 15 Class 8 Maths Revision Notes 

The given introduction to graphs class 8 notes Pdf free download available at Vedantu will help you to understand the graphs better and the appropriate ways to use them. If you have any query regarding class 8 maths revision notes chapter 15, drop a comment at the Vedantu website and have your query resolved at the earliest. Features of Vedantu’s Revision Notes to mention are:

Provides quick, clear summaries of key concepts.

Simplifies complex topics for better understanding.

Efficient tool for last-minute exam prep.

Enhances retention of crucial information.

Supports effective exam preparation with key points and tips.

Saves time by consolidating information.

Prioritizes important topics and questions.

Offers practical examples for real-world connections.

Boosts student confidence for exams.

For an enhanced comprehension of this subject, NCERT - Class 8 Maths Chapter 15 - Introduction to Graph, thoughtfully prepared by experienced educators at Vedantu is your invaluable companion. These notes break down the complexities of Introduction to Graph into easily digestible sections, helping you grasp new concepts, master formulas, and navigate through questions effortlessly quickly in the last minute as well. By immersing yourself in these notes, you not only prepare for your studies more efficiently but also develop a profound understanding of the subject matter.

FAQs on Introduction to Graphs Class 8 Notes CBSE Maths Chapter 15 (Free PDF Download)

1. What is the location of a point in maths class 8 introductions to graphs notes?

In order to construct a linear graph, we use a Cartesian plane. It is that graphical system on which we mark the points by considering the horizontal and vertical lines (i.e. the x-axis and the y-axis). A Cartesian plane is like a square grid sheet  which is divided into four quadrants by making a horizontal line (x-axis) and a vertical line (y-axis).

2. What is the purpose of making graphs?

The purpose of the displaying graphical representation is to show numerical facts in visual form for their quick and improved understanding. It is particularly very  useful when there is a trend or comparison to be explained.

3. What are some applications of a graph?

In our routine life, we see two quantities that are interlinked i.e., the change in one quantity goes along by a change in the other quantity.

4. Can you please quote a daily life example of application of a graph?

Take for example: the more hours an employee works overtime, the more bonus they get. More the rice we buy, the more we have to pay.

In the first case, the amount of bonus is called the dependent variable and the number of hours is termed as the independent variable (or control variable).

Likewise, in the second case, the sum of money paid to buy rice is the dependent variable whereas the amount of rice is the independent variable. Thus, the relationship between the dependent and independent variables can be shown by a graph.

5. What does Introduction to Graphs Class 8 Notes cover, and how can it help in understanding the chapter better?

The Introduction to Graphs Class 8 Notes covers the basics of graphs in a simple way. It includes explanations, examples, and important points to help you understand the chapter better. The free PDF download ensures easy access, making learning about graphs more convenient for Class 8 students.

NCERT Solutions

Study materials for class 8.

NCERT Solutions for Class 8 Maths Chapter 15 Introduction To Graphs

NCERT Solutions for Class 8 Maths Chapter 15 Introduction To Graphs are provided below. Our solutions covered each questions of the chapter and explains every concept with a clarified explanation. To score good marks in Class 8 Mathematics examination, it is advised to solve questions provided at the end of each chapter in the NCERT book.

NCERT Solutions for Class 8 Maths Chapter 15 Introduction To Graphs are prepared based on Class 8 NCERT syllabus, taking the types of questions asked in the NCERT textbook into consideration. Further, all the CBSE Class 8 Solutions Maths Chapter 15 are in accordance with the latest CBSE guidelines and marking schemes.

Class 8 Maths Chapter 15 Exercise 15.1 Solutions

Class 8 Maths Chapter 15 Exercise 15.2 Solutions

Class 8 Maths Chapter 15 Exercise 15.3 Solutions

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Important Questions for CBSE Class 8 Maths Chapter 15 – Introduction to Graphs

Home » CBSE » Important Questions for CBSE Class 8 Maths Chapter 15 – Introduction to Graphs

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Important Questions Class 8 Maths Chapter 15 – Introduction to Graphs

Maths is a fascinating subject which requires proper analytical and logical skills to solve any problem. To be adept in Maths, one must practise solving many problems. It helps one to  enhance their abilities in interpreting problems and develop a good grip on the subject.

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Chapter 15 of Class 8 Maths is about ‘Introduction To Graph’.  Following are the important topics that the chapter covers:

• Introduction to Graphs
• A Bar Graph
• A Pie Graph or A Circle Graph
• A Histogram
• A Line Graphs
• Location of a Point
• Coordinates
• Some Applications

Extramarks is a secure and well-rounded educational platform that gives students access to all NCERT-related study materials such as NCERT solutions, CBSE revision notes , topic-related formulas, CBSE past years’ question papers, etc.

Out-and-out practice in deciphering queries related to the topic is the only way to gain versatility in  Maths. Extramarks is one of the best and most renowned online educational platforms that helps students in their Class 1 to Class 12  to prepare in all possible ways. Extramarks understands the importance of practising problems when we talk about getting a good hold on Maths. 

After rigorous research and analysis of past years’ question papers and NCERT textbooks, our highly qualified and well-experienced faculty members have prepared a list of essential questions in our question bank Important Questions Class 8 Maths Chapter 15. This set of important questions and solutions will help students to clear concepts associated with the chapter Introduction to Graphs. Our experts have given step-by-step solutions using the required formulas to solve each question. 

Along with the provision of Important Questions Class 8 Maths Chapter 15, Extramarks also gives students access to CBSE revision notes, CBSE sample papers , and CBSE past year question papers . All these solutions strictly adhere to the latest CBSE syllabus making them the most reliable study materials available in the market today.

Get Access to CBSE Class 8 Maths Important Questions 2022-23 with Chapter-Wise Solutions

You can also find CBSE Class 8 Maths Chapter-by-Chapter Important Questions here:

Introduction to Graphs Class 8 Important Questions w ith Solutions

Following are a few questions and their solutions included in our Class 8 Maths Chapter 15 Important Questions. Students may register on our website to get full access to our question bank and its solutions.

Question 1: Use the tables below to draw linear graphs:

(a) The number of days a hillside city received snow in different years.

(b) Population (in thousands) of men and women in a village in different years.

Answer 1: (a) Let us take ‘Years’ along the x-axis and ‘Days’ along the y-axis. Hence, using the data provided by the table, the linear graph that we get is:

(b) Let us take Years along the x-axis and No. of Men and ‘No of Women’ along the y-axis. Hence, using the data provided by the table, the linear graph that we get is:

Question 2: Plot the following points on a graph sheet. Verify if they lie in a line:

(a) A(4,0), B(4,2), C(4,6), D(4,2.5).

(b) P(1,1), Q(2,2), R(3,3), S(4,4).

(c) K(2,3), L(5,3), M(5,5), N(2,5).

Answer 1: First we plot all the points in a graph:

Hence, we find out that points A, B, C and D lie in the same line.

Hence, we find out that the points P, Q, R and S also lie in the same line.

Hence, we find out that points K, L, M and N do not lie in the same line.

Question 3: The following line graph shows the yearly sales figure for a manufacturing company:

(a) What were the sales in (i) 2002 (ii) 2006?

(b) What were the sales in (i) 2003 (ii) 2005?

(c) Compute the difference between the sales in 2002 and 2006.

(d) In which year was there the greatest difference between the sales as compared to the previous year?

Answer 3: (a) (i) Sales in 2002 = Rs. 4 crore.

(ii) Sales in 2006 = Rs. 8 crore.

(b) (i) Sales in 2003 = Rs. 7 crore.

(ii)  Sales in 2005 = Rs. 10 crore

(c) Hence, difference between the sales in 2002 and 2006 = Rs. (8 – 4) crore

(d) Difference between sales in 2006 and 2005 = Rs. (10 – 8) crore = Rs. 2 crore.

Difference between sales in 2005 and 2004 = Rs. (10 – 6) crore = Rs. 4 crore.

Difference between sales in 2004 and 2003 = Rs. (7 – 6) crore = Rs. 1 crore. 

Difference between sales in 2003 and 2002 = Rs. (7 – 4) crore = Rs. 3 crore.

Therefore, the maximum sale was in the year 2005 compared to that of 2004.

Question 4: Can there be a time-temperature graph as follows? Justify your answer.

Answer 4: We cannot have different temperatures at the same time.

• This can be a time-temperature graph, since the temperature increases with the increase in time.
• This can be a time-temperature graph since the temperature decreases with the decrease in time.
• This cannot be a time-temperature graph since different temperatures at the same time are not possible.
• This can be a time-temperature graph since the same temperature at different times is possible.

Question 5: Draw a graph for the following:

Is it a linear graph?

Answer 5: (i) First we plot the graph by taking Side of Square along x-axis and Perimeter along y-axis

Therefore, It is a linear graph.

(ii) First, we plot the graph by taking the Side of the Square along the x-axis and the Area along the y-axis.

Question 6: 

The cost of a notebook is Rs.10. Draw a graph after making a table showing the cost of 2,3, 4 …Notebooks. Use it to find

(a) The cost of 7 notebooks

(b) The number of notebooks purchased with Rs 50.

Answer 6: Plotting the graph, we get

(a) Now following the graph we can find that

Cost of 7 notebooks = Rs. 70

(b) Now following the graph we can find that,

No. of notebooks purchased with Rs. 50 = 5

Question 7: Explain the situations represented by the following distance-time graphs.

Answer 7: (a) The graph represents that the object has travelled an equal distance in an equal intervals of time, i.e., the object moves with uniform velocity.

(b) The graph represents that the object moves with uniform velocity for some time and then becomes constant.

(c ) The distance covered by the object reduces gradually, i.e., the body moves with decreasing velocity.

Question 8: 

Draw a graph for the radius and circumference of the circle using a suitable scale.

(a) Find the circumference of the circle when the radius is 42 units.

(b) At what radius will the circumference of the circle be 220 units?

Answer 8: Since we know that,

Circumference of a circle = 2πr = 2 × 22/7 × r = 44r/7

Let us take the radius = 7 units

Therefore, the circumference = 2 × π × r = 44 × 7/7 = 44 units.

Now let us take the radius = 14 units

Therefore, the circumference = 2 × π × r = 44 × 14/7 = 88 units

After we calculate so on, we get the following table. And the graph is plotted as shown below:

Hence, from the graph we find that

(a) The circumference of the circle on taking the radius as 42 units is 264 units.

(b) The circle’s radius will be 35 units taking the circumference as 220 units.

Question 9: Plot the given points on a graph sheet and check if the points lie in a straight line. If not, name the shape they form when joined in the given order.

(a) (1, 2), (2,4), (3,6), (4,8).

(b) (1,1), (1,2), (2,1), (2,2).

(c) (4,2), (2,4), (3,3), (5,4).

Answer 9:  (a) First, we plot the points on the graph as shown below:

Hence, from the graph we find that the points are on a straight line.

(b) First, we plot the points on the graph as shown below: 

Hence, from the graph, we find that the points are not in a straight line. The points are in the form of a square.

(c ) First, we plot the points on the graph as shown below:

Hence, from the graph, we find that the points are not in a straight line. The points are forming a triangle.

Benefits of solving Class 8 maths Chapter 15 Extra Questions

Practice is the prerequisite for being adept in Maths. It helps the student to develop a firm conception of the subject. Practising the Important Questions Class 8 Maths Chapter 15 provided by Extramarks, students are well prepared and proficient to solve any complex problem during examinations.

Following are some benefits of solving the introduction to graphs class 8 important questions:

• Introduction to Graphs Class 8 Extra Questions is a compilation of some well-picked questions by our experts.  Our qualified academicians have prepared these questions after considering and analysing all the past years’ papers and CBSE textbooks.
• All the questions and answers strictly abide by the CBSE syllabus and follow the CBSE guideline so that the students have complete faith in them. Extramarks important questions, revision notes, sample papers etc. to develop their maths abilities and make them confident during exams. 
• All the Chapter 15 Class 8 Maths Important Questions have been solved with proper usage of formulas and adequate explanation so that the students do not have trouble understanding the problems and their solutions.

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Q.1 Draw the line passing through (2, 3) and (3, 2). Find the coordinates of the points at which this line meets the x-axis and y-axis.

Marks: 2 Ans

(2, 3) and (3, 2) meets the x-axis at (5, 0) and y-axis at (0, 5) .

Plot the following points. Verify if they lie on a line. (1, 3), (2, 3), (3, 3), (4, 3)

Yes, they all lie on a line.

Draw a graph for the following.

Yes, it is a linear graph.

In which year was there the greatest difference between the sales as compared to its previous year?

Marks: 3 Ans

In year 2004, sales is 6 million In year 2005, sales is 12 million

Difference is 6 million. It’s the greatest difference between the sales as compared to its previous year.

Find the coordinates of the points A, B, C, D, E and F from the graph.

A (-4, 0), B (-2, 3), C (1, 3), D (3, 1), E (1, -1), F(-2, -1)

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Cbse class 8 maths important questions, chapter 1 - rational numbers.

Chapter 2 - Linear Equations in One Variable

Chapter 3 - understanding quadrilaterals, chapter 4 - practical geometry, chapter 5 - data handling, chapter 6 - square and square roots, chapter 7 - cubes and cube roots, chapter 8 - comparing quantities, chapter 9 - algebraic expressions and identities, chapter 10 - visualising solid shapes, chapter 11 - mensuration, chapter 12 - exponents and powers, chapter 13 - direct and inverse proportions, chapter 14 - factorisation, chapter 16 - playing with numbers, faqs (frequently asked questions), 1. how to use the graph in maths.

A graph is a mathematical tool that lets us visualise the numerical data provided to us. Representing the entire data in a graphical format makes it easier for us to understand it clearly. The usage of a graph is easy. First, choose a scale along the x-axis and the y-axis, then plot the point by taking the coordinates. The solutions provided by Extramarks in Important Questions Class 8 Maths Chapter 15 have shown the proper and easy usage of graphs for the students to enjoy a better learning experience and enhance their performance in the examination.

2. How will Maths Class 8 Chapter 15 Important Questions help students to prepare for examinations?

Students can have a good grasp of Maths only through the regular and thorough practice of solving as many types of complex problems as possible. The most trusted and reliable source Extramarks gives students access to various exam-oriented questions provided as Important Questions Class 8 Maths Chapter 15.  Extramarks subject experts have picked all important questions after thoroughly analysing NCERT books, CBSE past years’ question papers, etc. so that the students can solve them and  be well prepared for their examinations

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CBSE Class 8th Maths Value Based Questions Chapter 15 Introduction to Graphs PDF Download

CBSE Class 8th Maths Value Based Questions Chapter 15 Introduction to Graphs are the easiest questions which you see in your question paper and the scoring one all student who attempt it surely get they are just little bit difficult and examine your basic knowledge regarding the particular chapter. Maths Value Based Questions for Class 8th are available here at Free of cost. These questions are expected to be asked in the Class 8th board examination. These Maths Value Based Questions are from complete CBSE Syllabus.

CBSE Class 8th Maths Value Based Questions Chapter 15 Introduction to Graphs

Most of these Maths Value Based Questions are quite easy and students need only a basic knowledge of the chapter to answer these questions. Download CBSE Maths Value Based Questions for board examinations. These Maths Value Based Questions are prepared by Directorate of Education, Delhi.

CBSE Maths Value Based Questions Class 8th Chapter 15 Introduction to Graphs PDF

The purpose of the Maths Value Based Questions is to make students aware of how basic values are needed in the analysis of different situations and how students require to recognize those values in their daily lives. Some questions are subject related. But even if they are not, that one-minute awareness of what we write about value without any specific preparation is a good step indeed.

CBSE Maths Value Based Questions for Class 8th Chapter 15 Introduction to Graphs download here in PDF format. The most CBSE Maths Value Based Questions for annual examination are given here for free of cost. The additional questions for practice the Class 8th exam are collected from various sources. It covers questions asked in previous year examinations.

CBSE Maths Value Based Questions for Class 8th Chapter 15 Introduction to Graphs Free PDF

Class 8th books have many questions. These questions are regularly asked in exams in one or other way. Practising such most CBSE Maths Value Based Questions Chapter 15 Introduction to Graphs certainly help students to obtain good marks in the examinations. 

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8th Class Mathematics Introduction to Graphs Question Bank

Done introduction to graphs total questions - 20.

question_answer 1) (0, - 3) lies on _____.

A)  Positive x-axis done clear

B)  Negative x-axis           done clear

C)  Positive y-axis done clear

D)  Negative y-axis           done clear

question_answer 2) To draw the graph of a line, the least number of points required is _____.

A)  One                            done clear

B)  Two    done clear

C)  Three              done clear

D)  Four done clear

A)  \[\text{37-5  }\!\!{}^\circ\!\!\text{ C}\]                      done clear

B)  \[\text{38  }\!\!{}^\circ\!\!\text{ C}\]             done clear

C)  \[\text{36  }\!\!{}^\circ\!\!\text{ C}\]             done clear

D)  \[\text{37  }\!\!{}^\circ\!\!\text{ C}\] done clear

A)  10 a.m.                       done clear

B)  6 p.m. done clear

C)  4 p.m.             done clear

D)  2 p.m. done clear

question_answer 5) Which of the following graphs cannot be a time temperature graph?

A)  Test 5              done clear

B)  Test 3  done clear

C)  Test 2              done clear

D)  Test 1  done clear

A)  Student A done clear

B)  Both showed same performance done clear

C)  Student B done clear

D)  Can't be determined done clear

question_answer 8) The point of intersection of co-ordinate axes is called ____.

A)  Common point           done clear

B)  Zero point       done clear

C)  Origin             done clear

D)  Null point        done clear

A)  (4, 3)               done clear

B)  (3, 4)   done clear

C)  (3, 3)               done clear

D)  (4, 4)   done clear

A)  3                                 done clear

B)  2         done clear

C)  4                                 done clear

D)  1         done clear

A)  3%                              done clear

B)  6%      done clear

C)  4%                              done clear

D)  5%      done clear

A)  12.5%             done clear

B)  13%    done clear

C)  10%                done clear

D)  19% done clear

A)  3.5 hours                    done clear

B)  2 hours done clear

C)  1.5 hours                    done clear

D)  3 hours done clear

A)  19 km             done clear

B)  18 km done clear

C)  22 km             done clear

D)  20 km done clear

A)  9 a.m. - 10 a.m. done clear

B)  10 a.m. - 11 a.m. done clear

C)  8 a.m. - 9 a.m. done clear

D)  11 a.m. - 11:30 a.m. done clear

A)  Day 10                        done clear

B)  Day 8  done clear

C)  Day 5              done clear

D)  Day 4  done clear

A)  47 thousands  done clear

B)  48 thousands  done clear

C)  49 thousands  done clear

D)  46 thousands done clear

A)  2 : 7                done clear

B)  3 : 7    done clear

C)  1 : 7                done clear

D)  6 : 7    done clear

A)  10 litres                       done clear

B)  12.5 litres        done clear

C)  11 litres                       done clear

D)  13 litres           done clear

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MCQ Questions for Class 8 Maths Chapter 15 Introduction to Graphs with Answers

We have compiled the NCERT MCQ Questions for Class 8 Maths Chapter 15 Introduction to Graphs with Answers Pdf free download covering the entire syllabus. Practice MCQ Questions for Class 8 Maths with Answers on a daily basis and score well in exams. Refer to the Introduction to Graphs Class 8 MCQs Questions with Answers here along with a detailed explanation.

Introduction to Graphs Class 8 MCQs Questions with Answers

Choose the correct option.

Question 1. The coordinates of the origin are (a) (1,0) (b) (0,1) (c) (0,0) (d) (1,1)

Answer: (c) (0,0)

Question 2. What are the coordinates of a point whose x-coordinate is 3 and y-coordinate is 4? (a) (3,3) (b) (3,4) (c) (4,3) (d) (4,4)

Answer: (b) (3,4)

Question 3. What are the coordinates of a point whose x-coordinates is 0 and y-coordinate is 1? (a) (0,1) (b) (0,0) (c) (1,0) (d) (1,1)

Answer: (a) (0,1)

Question 4. What are the coordinates of a points whose x-coordinate is 1 and y-coordinate is 0? (a) (0,1) (b) (0,0) (c) (1,0) (d) (1,1)

Answer: (c) (1,0)

Question 5. (0, y) are the coordinates of a point lying on which of the following? (a) origin (b) x-axis (c) y-axis (d) None of these

Answer: (c) y-axis

Question 6. The point (3, 2) is nearer to (a) x-axis (b) y-axis (c) origin (d) None of these

Answer: (a) x-axis

Question 7. The point (-3, -3) is (a) nearer to x-axis (b) nearer to y-axis (c) near to origin (d) equidistant from x-axis and y-axis

Answer: (d) equidistant from x-axis and y-axis

Question 8. Which of the following points lies on y-axis? (a) (-4, 0) (b) (4, 0) (c) (0, -4) (d) (-4, 4)

Answer: (c) (0,-4)

Question 9. By joining (-3, 2) (-3, 3) and (-3, 4), which of the following is obtained? (a) Triangle (b) A straight line not passing through origin (c) A straight line passing through origin. (d) None of these

Answer: (b) A straight line not passing through origin

Question 10. By joining (1, 1), (0, 0) and (3, 3), which of the following is obtained? (a) A triangle (b) A straight line passing through origin (c) A curved line (d) A straight line not passing through origin

Answer: (b) A straight line passing through origin

Question 11. (0, y) are the coordinates of a point lying on which of the following? (a) origin (b) x-axis (c) y-axis (d) none of these.

Question 12. The point (3, 2) is nearer to: (a) x-axis (b) y-axis (c) origin (d) none of these.

Fill in the blanks

Question 1. The number of coordinate axes is ……………………

Question 2. Abscissa of the point (6, 0) is ……………………

Question 3. The distance of A (4, 0) from the x-axis is ……………………

Question 4. The coordinate axes intersect at the point ……………………

Answer: (0, 0)

Question 5. Ordinate of the point is (5, 4) is 7 ……………………

Hope the information shed above regarding NCERT MCQ Questions for Class 8 Maths Chapter 15 Introduction to Graphs with Answers Pdf free download has been useful to an extent. If you have any other queries of CBSE Class 8 Maths Introduction to Graphs MCQs Multiple Choice Questions with Answers, feel free to reach us so that we can revert back to us at the earliest possible.

MCQ: Introduction to Graphs | Mathematics (Maths) Class 8 PDF Download

Q1: A ________ is a bar graph that shows data in intervals. (a) Bar-graph (b) Pie-chart (c) Histograph (d) Line Graph

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• Chapter 15 Introduction to Graphs

Class 8 Maths Chapter 15 Introduction to Graphs MCQs

Class 8 Maths Chapter 15 Introduction to graphs MCQs (Questions and Answers)  are available online for students, with detailed explanations. These MCQs are as per the latest exam pattern. The multiple-choice questions are designed by experts, according to the  CBSE syllabus (2022-2023) and NCERT guidelines. The objective questions, chapter-wise, are given at BYJU’S to make students understand each concept and score better marks in exams. Also, learn important questions for class 8 Maths here.

Practice more and test your skills on Class 8 Maths Chapter 15 Introduction to graphs  MCQs with the given PDF here.

MCQs Questions on Class 8 Chapter 15 Introduction to graphs

Multiple choice questions (MCQs) are given for the Class 8 Introduction to graphs chapter.

1. A ________ is a bar graph that shows data in intervals.

A. Bar-graph

B. Pie-chart

C. Histograph

D. Line Graph

2. A graph that displays data that changes continuously over periods of time is called:

3. A line graph which is a whole unbroken line is called a:

A. Linear graph

D. Bar-graph

4. Which point lies only on y-axis?

5. If we join (-3,2), (-3,-3) and (-3,4), then we obtain:

A. A triangle

B. Straight-line without passing through origin

C. Straight-line passing through origin

D. None of the above

6. The point (4,0) lies on which of the following?

7. The point (-2,-2) is:

A. near to x-axis

B. near to y-axis

C. near to origin

D. Equidistant from x-axis and y-axis.

8. The point (-2, 5) is nearer to:

9. The point (-5, 2) is nearer to:

10. The point (0,0) lies at:

Observe the diagram, given below and find the correct answer to the following MCQs.

11. Which team has the highest score?

A. Team 1 B. Team 2 C. Team 3 D. Team 4

Answer: D Team 4

Explanation: Team 4 has the highest score with 34.5%.

12. Which team has the lowest score?

Answer: C. Team 3

Explanation: Team 3 has the lowest score with 10.9%.

13. Which team is coloured green?

14. What is the average score of all the teams?

A. 22% B. 25% C. 27% D. 29%

Answer: B. 25%

Explanation: Average score = (sum of all scores)/(total number of scores)

15. Which team has the second-highest score?

Answer: A. Team 2

Explanation: Team 2 has the second-highest score, equal to 32.7%.

Below is the data of the number of men and women in a village for different years. Now based on this data answer the following MCQs with the correct option.

16. How many men were there in the village in 2010?

A. 500 B. 1000 C. 1500 D. 2000

Answer: B. 1000

Explanation: There were 1000 men in the year 2010 in the village.

17. The population of men and women in 2020 is the same?

A. True B. False

Answer: A. True

18. In which year the population of women is the highest?

A. 2005 B. 2010 C. 2015 D. 2020

Answer: D. 2020

19. When is the population of men, the minimum?

Answer: A. 2005

Explanation: In 2005, there were only 500 men in the village.

20. In which year population of men is more than women? A. 2005 B. 2010 C. 2015 D. 2020

Answer: C. 2015

More Articles for Class 8

• Important Questions Class 8 Maths Chapter 15: Introduction to Graphs
• Maths Formulas For Class 8
• Mensuration Class 8
• Algebraic Identities For Class 8
• Geometry Formulas For Class 8
• Data Handling

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Hello buyjus I am using you app too Good leaning But I want that you addd something new in the app that the student can do self study with the help of notes by reading and leaning the key points too

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