Last Updated on October 18, 2024 by XAM CONTENT

Hello students, we are providing case study questions for class 8 maths. Case study questions are the new question format that is introduced in CBSE board. The resources for case study questions are very less. So, to help students we have created chapterwise case study questions for class 8 maths. In this article, you will find case study questions for CBSE Class 8 Maths Chapter 13 Introduction to Graphs. It is a part of Case Study Questions for CBSE Class 8 Maths Series.

Chapter | Introduction to Graphs |

Type of Questions | Case Study Questions |

Nature of Questions | Competency Based Questions |

Board | CBSE |

Class | 8 |

Subject | Maths |

Useful for | Class 8 Studying Students |

Answers provided | Yes |

Difficulty level | Mentioned |

Important Link | Class 8 Maths Chapterwise Case Study |

### Case Study Questions on Introduction to Graphs

**Questions**

**Passage 1: **

The given line graph shows the annual sales of car for past six years. on basis of given information in graph answer the following questions:

On the basis of above information answer the following questions:

Q. 1. What was the sale of car in year 2015?

(a) 15000

(b) 16000

(c) 18000

(d) 19000

Ans. Option (d) is correct.

Explanation: Sale of car in year 2015 as shown in graph is 19000.

Q. 2. How many cars are sold between 2013 and 2012?

(a) 3000

(b) 5000

(c) 6000

(d) 8000

Ans. Option (a) is correct.

Explanation: Sale in 2012 year = 15000

Sale in 2013 year = 18000

Car sold between 2013 and 2012 = 18000 â€“ 15000 = 3000

Q. 3. In which year sale is maximum?

(a) 2014

(b) 2017

(c) 2015

(d) 2016

Ans. Option (b) is correct.

Explanation: it can be seen from line graph that maximum sale is in year 2017 which is 24000.

Q. 4. In which year the sales of car depreciated and by how much?

Sol. Sale of car in 2013 = 18000

Sale of car in 2014 = 16000

So it is clear that sale of car depreciated in year 2014

Amount of depreciation = 18000 â€“ 16000 = 2000

Q. 5. In which year the sale was minimum and in which year it is maximum and what is the difference between them

Sol. Minimum sale was in year 2012 which is = 15000

Maximum sale was in year 2017 which is = 24000

Difference between them is 24000 â€“ 15000 = 9000

### Also check

- Introduction to Graphs Class 8 Case Study Questions Maths Chapter 13
- Factorisation Class 8 Case Study Questions Maths Chapter 12
- Direct and Inverse Proportions Class 8 Case Study Questions Maths Chapter 11
- Exponents and Powers Class 8 Case Study Questions Maths Chapter 10
- MensurationÂ Class 8 Case Study Questions Maths Chapter 9
- Algebraic Expressions and IdentitiesÂ Class 8 Case Study Questions Maths Chapter 8
- Comparing QuantitiesÂ Class 8 Case Study Questions Maths Chapter 7
- Cube and Cube RootsÂ Class 8 Case Study Questions Maths Chapter 6
- Square and Square RootsÂ Class 8 Case Study Questions Maths Chapter 5
- Data HandlingÂ Class 8 Case Study Questions Maths Chapter 4
- Understanding QuadrilateralsÂ Class 8 Case Study Questions Maths Chapter 3
- Linear Equations in One VariableÂ Class 8 Case Study Questions Maths Chapter 2
- Rational NumbersÂ Class 8 Case Study Questions Maths Chapter 1

### Download eBooks for CBSE Class 8 Maths

- Rational Numbers Topicwise Worksheet for CBSE Class 8 Maths
- Linear Equations in One Variable Worksheet for CBSE Class 8 Maths
- Understanding Quadrilaterals Worksheet for CBSE Class 8 Maths
- Data Handling Worksheet for CBSE Class 8 Maths
- Squares and Square Roots Worksheet for CBSE Class 8 Maths
- Cube and Cube Roots Worksheet for CBSE Class 8 Maths
- Comparing Quantities Worksheet for CBSE Class 8 Maths
- Algebraic Expressions and Identities Worksheet for CBSE Class 8 Maths

### Topics from which case study questions may be asked

- Graphs
- Line Graphs
- Some Application Based on Graphs

**Graphs: **Visual representation of numerical data collected is called graphs. Though data can be represented in tabular form but graphical representation is easier to understood.

**Line Graphs: **Data that changes continuously over the period of time is represented by graph called Line Graph.

**Some Application Based on Graphs: **Graphs can be used to compare our day-to-day life things with each other. In these some are independent things, and some are dependent things.

**Independent variable: **Variables whose value do not depend on the values of other variables are called independent variable.

**Dependent Variable: **Variables whose values depend upon values of other variable are called dependent variable.

The relation between a dependent variable and an independent variable is shown through a graph.

Case study questions from the above given topic may be asked.

### Frequently Asked Questions (FAQs) on Introduction to Graphs Case Study

#### Q1: What is a graph in mathematics?

A1: A graph in mathematics is a visual representation of data or relationships between variables. It is typically drawn on a coordinate plane, consisting of two perpendicular lines called the **x-axis** (horizontal) and the **y-axis** (vertical), where points are plotted to represent data.

#### Q2: What are the different types of graphs introduced in Class 8 Maths?

A2: In Class 8 Maths, the types of graphs introduced include:**Bar graphs**: Used to represent categorical data with rectangular bars.**Pie charts**: Circular graphs that show proportions of a whole.**Line graphs**: Used to represent data points connected by straight lines, often showing trends over time.**Linear graphs**: Graphs representing linear equations, where the relationship between the variables forms a straight line.

#### Q3: What is the purpose of plotting points on a graph?

A3: Plotting points on a graph helps to visually represent the relationship between two variables. By plotting data points on the graph, you can analyze trends, observe patterns, and solve equations more effectively. It also allows for the clear representation of data that may be difficult to interpret in tabular form.

#### Q4: How do you plot points on a graph?

A4: To plot points on a graph:

Identify the coordinates of the point in the form (x, y).

Start from the origin (0,0) and move **x** units along the x-axis (horizontal).

From that point, move **y** units along the y-axis (vertical) to locate the point.

Mark the point on the graph.

For example, to plot the point (3, 4), you would move 3 units to the right on the x-axis and then 4 units up on the y-axis.

#### Q5: What is a linear graph?

A5: A linear graph represents a straight line that shows a constant relationship between two variables. The equation of a linear graph is usually of the form *y = mx + c*, where m is the slope (gradient) of the line and c is the y-intercept (where the line crosses the y-axis).

#### Q6: **What is the difference between a bar graph and a line graph?**

A6: A **bar graph** represents data with rectangular bars of varying heights to show comparisons between different categories. It is used for discrete data. A **line graph**, on the other hand, connects individual data points with straight lines and is typically used to show changes or trends over time.

#### Q7: **How are graphs useful in real life?**

A7: Graphs are widely used in real life for:

Analyzing and interpreting data in fields like economics, science, and business.

Tracking progress over time, such as sales trends or population growth.

Representing relationships between different variables in mathematics and engineering.

Making informed decisions by visualizing data clearly and quickly.

#### Q8: What is the x-axis and y-axis in a graph?

A8: The **x-axis** is the horizontal line in a graph, and the **y-axis** is the vertical line. These two axes intersect at the origin (0,0) and form the coordinate plane. The x-axis usually represents the independent variable, and the y-axis represents the dependent variable.

#### Q9: What is the importance of scales in graphing?

A9: The scale of a graph determines the intervals or units represented on the x-axis and y-axis. Choosing an appropriate scale is important for accurately representing data. If the scale is too small or too large, it can distort the interpretation of the graph. A properly chosen scale ensures that all data points fit neatly on the graph and are easy to read.

#### Q10: How can I learn to interpret graphs better?

**A10:** To improve your ability to interpret graphs:

Practice reading different types of graphs, such as bar graphs, pie charts, and line graphs.

Understand what the axes represent and the scale used.

Analyze the trends or patterns shown by the data points.

Try solving textbook exercises on graph-related problems, and make sure to work on both plotting and interpreting graphs.

#### Q11: What is the origin on a graph?

**A11:** The **origin** is the point where the x-axis and y-axis intersect in a graph. It is denoted by (0, 0). It serves as the reference point from which other points are plotted on the coordinate plane.

#### Q12: **Are there any online resources or tools available for practicing “Introduction to Graphs” case study questions?**

A12: We provide case study questions for CBSE Class 8 Maths on ourÂ website. Students can visit the website and practice sufficient case study questions and prepare for their exams. If you need more case study questions, then you can visitÂ Physics GurukulÂ website. they are having a large collection of case study questions for all classes.