NCERT Solutions Class 8 Maths Chapter 13 Introduction to Graphs Exercise 13.3

NCERT Solutions Class 8 Maths Chapter 13 Introduction to Graphs Exercise 13.3 helps students understand how to draw and interpret linear graphs. In this exercise, students will learn how to plot points on a graph paper using given values and understand how these points can represent real-life situations like distance, time, or temperature changes.

These NCERT Solutions offer clear explanations and step-by-step methods to solve graph-based problems easily. For Class 8 students, this builds a strong foundation in data representation and improves visual learning skills. It’s a fun and simple way to connect maths with real-world situations through graphical representation.

1.0Download NCERT Solutions Class 8 Maths Chapter 13 Introduction to Graphs Exercise 13.3: Free PDF

Download the free NCERT Solutions Class 8 Maths Chapter 13 Introduction to Graphs Exercise 13.3 PDF with clear explanations to help you easily learn how to interpret and draw graphs.

2.0Key Concepts in Exercise 13.3 of Class 8 Maths Chapter 13

Exercise 13.3 of Chapter 13 – Introduction to Graphs focuses on applying the concepts of plotting and interpreting linear graphs. It introduces students to the basics of algebraic relationships represented graphically.

• Linear Graphs:
  Students learn to plot graphs that show a straight-line relationship between two quantities. These include simple equations like y = 2x, y = x + 3, etc.
• Table of Values:
  The exercise emphasizes preparing a table of values (x and y) to help plot points accurately on a graph.
• Drawing and Interpreting Graphs:
  Students plot the calculated points on the Cartesian plane and connect them to form a straight line. They also interpret the meaning of the graph in real-life contexts.
• Understanding Slope/Gradient:
  Through examples, learners get an intuitive sense of the steepness or direction of a graph (positive/negative slope) even though the term "slope" may not be formally introduced.

3.0NCERT Class 8 Maths Chapter 13: Other Exercises

4.0NCERT Class 8 Maths Chapter 13 Exercise 13.3: Detailed Solutions

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

(b) Distance travelled by a car

(i) How much distance did the car cover during the period 7.30 a.m. to 8 a.m. ? (ii) What was the time when the car had covered a distance of 100 km since it's start? (c) Interest on deposits for a year.

(i) Does the graph pass through the origin? (ii) Use the graph to find the interest on ₹ 2500 for a year. (iii) To get an interest of ₹ 280 per year, how much money should be deposited ? Sol. (a) In order to represent the given data graphically, we represent 'Number of apples' on the x -axis and 'Cost of apples (in ₹)' on the $y$-axis. The ordered pairs $(1,5),(2,10),(3,15),(4,20)$ and $(5,25)$ are plotted as points and are joined by the line segments as shown in the figure. This gives the required graph.

(i) Is it a linear graph?

(ii) Is it a linear graph?

Sol. (i) In order to represent the given data graphically, represent the side of square (in cm ) on the x -axis and the perimeter (in cm ) on the $y$-axis. Scale : 1 unit = 1 cm on x -axis. 1 unit $=2\mathrm{cm}$ on y - axis. Plot the points $(2,8),(3,12),(3.5,14),(5$, $20)$ and $(6,24)$. Join these points to obtain the required graph. Yes, It is a linear graph.

5.0Key Features and Benefits of Class 8 Maths Chapter 13 Exercise 13.3

• Understanding Graphs with Real-Life Data: This exercise helps students learn how to draw and read different types of graphs like bar graphs, pie charts, and line graphs using real data.
• Develops Data Interpretation Skills: Students learn how to read information from graphs and answer questions based on them, which is useful in daily life and future studies.
• Simple and Clear Questions: The problems are easy to follow and help students understand how graphs represent information visually.
• Improves Visual Thinking: Working with graphs enhances the ability to see patterns and compare data in a clear, visual way.
• Useful for Exams and Projects: This chapter builds a strong base for understanding data and graph-related questions in exams or school projects.