Solved Introduction To Graphs MCQs with Answers and Explanations
MCQ on Graph Theory with Answers
When it comes to education, we have numerous subjects to learn and appear to examine. Out of all the subjects, mathematics is one that most of the students find difficult. But the pattern in which it is designed for students makes this subject much easier. From class 1 to class 7, students understand the basic concepts and skills of mathematics, which can be used in further higher classes. They learn everything from scratch.
Finally, the class 8 mathematics syllabus is designed in a manner to recapitulate all the learned ideas and concepts in the past classes. Class 8 consists of 16 chapters of different topics and concepts.
Introduction to Graphs
Out of all these chapters, “Introduction to Graphs” is completely a new and fun way of learning higher mathematics for the students. This concept includes the representation of bulky data and information into manageable graphs like line graphs, bar graphs, etc. This chapter is very important to gain mental and logical ability to handle difficult cases in the arrangement of data.
Although many students neglect this chapter, the examination weightage of this chapter is quite significant and remarkable. To score full marks in Introduction to graphs, first of all, you must understand the type and pattern of questions that drop into the examination.
Questions are generally MCQs on graph theory with answers, answers in a sense, you have to choose the correct one out of four. And out of all the multiple-choice questions, most students made mistakes in Introduction to Graphs class 8 MCQs because they always miss this chapter considering it only meant for five marks questions of plotting graphs and hence forgot about MCQs.
There are several important concepts that you have to prepare for scoring full marks in this lesson.
What are the Graphs?
Graphs are the visual or 2D or 3D representation of a given data or information prepared with different bars or lines or points on a sheet of paper. These graphs generally are used for comparing different business situations or fall and rise in goods in markets, etc.
What are the Different Types of Graphs?
There are different types of graphs in the syllabus of class 8 like:
Bar graphs
Pie charts
Histograms
Double bar graphs
Line graphs, etc
You may be asked questions in the form of graph representation as MCQs also. So, always have a clear understanding of graphs.
About Linear Graphs
Questions from this area are generally asked in the five marks section. Graph questions for grade 8 are maximum from this part of the chapter.
Graph Theory
MCQs on graph theory with answers are given and asked from this concept and are easy to attempt if understood well. You have to have a complete idea about dependent and independent variables and the role of the x-axis and y-axis. The dependent variable is placed on the y-axis(vertical), and the independent variable is on the x-axis(horizontal).
Important Example Question In CLASS 8 MATHEMATICS Introduction to Graphs - MCQs
Q1. Which Form of Graph is Used to Compare Parts of a Whole?
A. Pie graph
B. Bar graph
C. Histogram
Answer: Option B – Pie Graph
Q2. Which Type of Graph Represents Data that Changes Continuously Over a Course of Time?
A. Bar graph
B. Line graph
C. Pie graph
Answer: Option B – Line Graph
Q3. What Does a Graph Represent by Connecting Point (–1, –1), (0, 0) and (3, 3)
A. A triangle
B. A straight line not crossing across origin.
C. a straight line crossing across origin
Answer: Option C - a straight line crossing across origin
Q4. What is the Point that Lies in the 3rd Quadrant Called?
A. (5, 5)
B. (5, -5)
C. (-5, -5)
Answer: Option C (-5, -5)
Q5. What is the Point that Represents the X-axis Called?
A. x = 0
B. y= 0
C. x = y
Answer: Option B; Y = 0
FAQs on Introduction To Graphs Multiple Choice Questions
1. What is a graph in mathematics?
A graph in mathematics is a diagram that represents a relationship between two variables on a coordinate plane. In coordinate geometry, a graph shows how one variable (usually x) affects another variable (usually y).
- It is plotted on the Cartesian plane.
- The horizontal axis is called the x-axis.
- The vertical axis is called the y-axis.
- Each point on the graph is written as an ordered pair (x, y).
Graphs are used to visually represent equations, functions, and data.
2. What are the different types of graphs in mathematics?
The main types of graphs in mathematics include line graphs, bar graphs, pie charts, and coordinate graphs of functions. Each type is used for a specific purpose.
- Line graph – Shows trends over time.
- Bar graph – Compares different categories.
- Pie chart – Shows parts of a whole.
- Linear graph – Represents equations like y = mx + c.
- Quadratic graph – Represents equations like y = ax² + bx + c.
In introduction to graphs MCQs, students are often tested on identifying and interpreting these types.
3. What is the Cartesian coordinate system?
The Cartesian coordinate system is a plane formed by two perpendicular number lines used to locate points using ordered pairs. It consists of two axes intersecting at the origin.
- The intersection point is called the origin (0, 0).
- The plane is divided into four quadrants.
- Each point is written as (x, y).
It is the foundation for plotting graphs and solving coordinate geometry problems.
4. How do you plot a point on a graph?
To plot a point on a graph, locate its x-coordinate on the x-axis and its y-coordinate on the y-axis, then mark their intersection. The ordered pair is written as (x, y).
- Step 1: Move horizontally to the given x-value.
- Step 2: Move vertically to the given y-value.
- Step 3: Mark the point where both meet.
For example, to plot (3, 2), move 3 units right and 2 units up.
5. What is the origin in a graph?
The origin is the point where the x-axis and y-axis intersect, and its coordinates are (0, 0). It is the reference point of the Cartesian plane.
- It divides the plane into four quadrants.
- All coordinates are measured from the origin.
- It has zero value for both x and y.
Many introduction to graphs MCQs ask about the coordinates or importance of the origin.
6. What are quadrants in a graph?
The quadrants are the four regions into which the Cartesian plane is divided by the x-axis and y-axis. Each quadrant has a specific sign pattern.
- Quadrant I: (+, +)
- Quadrant II: (−, +)
- Quadrant III: (−, −)
- Quadrant IV: (+, −)
Understanding quadrant signs is important for solving graph-related multiple choice questions.
7. What is a linear graph?
A linear graph is the graph of a linear equation that forms a straight line on the coordinate plane. It usually represents equations of the form y = mx + c.
- m is the slope (gradient).
- c is the y-intercept.
- The graph is always a straight line.
For example, the graph of y = 2x + 1 is a straight line crossing the y-axis at 1.
8. How do you find the slope of a graph?
The slope of a graph is calculated using the formula m = (y₂ − y₁) / (x₂ − x₁). It measures the steepness of a line.
- Choose two points on the line: (x₁, y₁) and (x₂, y₂).
- Subtract the y-values.
- Subtract the x-values.
- Divide the differences.
For example, between (1,2) and (3,6): m = (6−2)/(3−1) = 4/2 = 2.
9. What is the difference between a bar graph and a line graph?
The main difference is that a bar graph compares categories using rectangular bars, while a line graph shows trends by connecting data points with lines.
- Bar graphs are used for categorical data.
- Line graphs are used for continuous data.
- Line graphs show changes over time clearly.
This comparison is commonly tested in introduction to graphs MCQs.
10. Why are graphs important in mathematics?
Graphs are important in mathematics because they visually represent relationships between variables and make data easier to interpret. They help in understanding patterns, trends, and solutions of equations.
- They simplify complex numerical data.
- They help analyze functions and equations.
- They are widely used in science, economics, and statistics.
Learning the basics of graphs is essential for solving coordinate geometry and data interpretation MCQs.
