CBSE Class 11 Geography Chapter 2: Map Scale NCERT Solutions

Reviewed by NCERT Help Editorial Team · Updated on 29 Jul 2026

NCERT Solutions PDF Class 11 PDF

This chapter provides essential NCERT Solutions for Class 11 Geography, focusing on Chapter 2: Map Scale. Students will explore the fundamental concepts of map scales, including the different methods used to represent them: the Statement of Scale, Representative Fraction (RF), and Graphical Scale. The solutions detail the advantages of each method, particularly highlighting why the RF is considered universal and the unique benefit of the graphical scale in maintaining accuracy even after map enlargement or reduction. It also covers practical applications like converting a statement of scale into an RF. These solutions are designed to help students understand the principles of map scaling, which is crucial for interpreting geographical data accurately and preparing for their exams.

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Quick info

Board	CBSE
Class	Class 11
Subject	Practical Work in Geography
Session	2026
Language	English
Type	NCERT Solutions
Chapter	Chapter 2

Chapter summary

Chapter 2 of the Class 11 Geography Practical Work textbook focuses on Map Scale. This section provides NCERT Solutions that explain the various methods of scale representation: Statement of Scale, Representative Fraction (RF), and Graphical Scale. It clarifies the components of scale, such as map distance and ground distance, and discusses the advantages of each method, emphasizing the universality of RF and the adaptability of graphical scales. The solutions also include practical exercises on converting scale statements to RFs, aiding students in mastering these essential cartographic skills.

Learning outcomes

Understand the concept and importance of map scale in geography.
Identify and differentiate between the Statement of Scale, Representative Fraction, and Graphical Scale methods.
Explain the advantages of each scale representation method.
Convert a given statement of scale into its Representative Fraction form.
Recognize the universal applicability of the Representative Fraction method.
Appreciate the advantage of graphical scales in map reproduction.

Topics covered

Paper topics

Map Scale
Statement of Scale
Representative Fraction (RF)
Graphical Scale
Metric System of Measurement
English System of Measurement
Map Distance
Ground Distance
Scale Conversion
Universality of RF
Adaptability of Graphical Scale

Important topics

Representative Fraction (RF) as a universal method
Advantages of Graphical Scale
Converting Statement of Scale to RF
Understanding Map Distance vs. Ground Distance

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Questions and Solutions

Question 1 (i)

Choose the right answer from the four alternatives given below: Which one of the following methods of scale is a universal method?

(a) Simple Statement

(b) Representative Fraction

(d) None of the above

Solution: The correct answer is (b) Representative Fraction. The Representative Fraction (RF) is considered a universal method because it expresses the scale as a ratio between the map distance and the ground distance, using the same units for both. This independence from specific units (like centimeters, inches, kilometers, or miles) allows it to be understood and applied globally, irrespective of the measurement system used by the map reader.

Question 1 (ii)

Choose the right answer from the four alternatives given below: Map distance in a scale is also known as:

(a) Numerator

(b) Denominator

(d) Representative Fraction

Solution: The correct answer is (a) Numerator. In the context of a Representative Fraction (RF) scale, such as 1:200,000, the number '1' represents the map distance, and the number '200,000' represents the corresponding ground distance. Therefore, the map distance is referred to as the numerator in this ratio.

Question 1 (iii)

Choose the right answer from the four alternatives given below: 'Numerator' in scale represents:

(a) Ground distance

(b) Map distance

(d) None of the above

Solution: The correct answer is (b) Map distance. As explained in the previous question, when a scale is expressed as a Representative Fraction (RF), the numerator of the fraction denotes the distance measured on the map, while the denominator denotes the actual distance on the ground, both in identical units.

Question 2 (i)

Answer the following questions in about 30 words: What are the two different systems of measurement?

Solution: The two primary systems of measurement relevant to map scales are the Metric System (commonly used in India, employing units like kilometers, meters, and centimeters) and the English System (prevalent in the US and UK, using miles, yards, feet, and inches).

Question 2 (ii)

Give one example each of statement of scale in Metric and English system.

Solution: An example of a statement of scale in the Metric System is: "1 cm represents 20 km." This means that one centimeter measured on the map corresponds to an actual ground distance of twenty kilometers. In the English System, an example would be: "1 inch represents 20 miles," indicating that one inch on the map equals twenty miles on the ground.

Question 2 (iii)

Why is the Representative Fraction method called a Universal method?

Solution: The Representative Fraction (RF) method is called universal because it expresses the scale as a ratio where both the map distance and the ground distance are in the same units (e.g., 1:200,000). This means the scale is independent of any specific system of measurement (Metric or English), making it easily interpretable by anyone, anywhere in the world.

Question 2 (iv)

What are the major advantages of the graphical method?

Solution: The primary advantage of the graphical method (also known as a bar scale) is its durability against map reproduction processes. If a map is enlarged or reduced, the graphical scale on it scales proportionally, ensuring that the scale remains accurate and usable even after changes in the map's size. This is not true for statement scales or RFs when physically reproduced at a different size.

Question 3 (i)

Convert the given Statement of Scale into Representative Fraction (R.F.). 5 cm represents 10 km

Solution: To convert the statement of scale "5 cm represents 10 km" into a Representative Fraction (RF), we need to express both distances in the same unit.

First, let's convert kilometers to centimeters:

1 km = 1000 meters

1 meter = 100 centimeters

Therefore, 1 km = 1000 * 100 = 100,000 centimeters.

Now, convert 10 km to centimeters:

10 km = 10 * 100,000 cm = 1,000,000 cm.

So, the scale is 5 cm on the map represents 1,000,000 cm on the ground.

To find the RF, we express this as a ratio: Map distance / Ground distance.

RF = 5 cm / 1,000,000 cm

Simplify the ratio by dividing both the numerator and the denominator by 5:

RF = (5 / 5) / (1,000,000 / 5)

RF = 1 / 200,000

Thus, the Representative Fraction is 1:200,000.

Common mistakes

Confusing the numerator and denominator in scale representation.
Errors in unit conversion when converting scale statements to RF.
Not understanding the implications of map enlargement or reduction on different scale types.

Revision tips

Memorize the definitions and formulas for each scale method.
Practice converting between Statement of Scale and Representative Fraction thoroughly.
Focus on understanding why the Representative Fraction is universal and graphical scales are adaptable.
Review the examples provided to solidify understanding of scale calculations.

Practice MCQs

Q1. Which method of map scale is considered universal because it is independent of any specific unit of measurement?

Q2. In a map scale represented as a fraction, what does the numerator typically represent?

Q3. What is a key advantage of using a graphical scale on a map?

Q4. If a map shows a scale of 1 cm = 2 km, what is the Representative Fraction (RF) of this scale?

Frequently asked questions

What are the main methods of representing a map scale?

The three main methods are the Statement of Scale (e.g., 1 cm represents 10 km), the Representative Fraction (RF) (e.g., 1:200,000), and the Graphical Scale (a drawn bar showing distances).

Why is the Representative Fraction (RF) considered a universal method?

The RF is universal because it expresses the scale as a ratio (e.g., 1:200,000) where both map and ground distances are in the same units. This allows anyone, regardless of whether they use metric or imperial systems, to interpret the scale.

What is the primary advantage of a graphical scale?

The main advantage of a graphical scale is that it remains accurate even if the map is enlarged or reduced, as the scale bar scales proportionally with the map.

How do you convert a scale statement like '1 cm represents 2 km' into an RF?

First, ensure both distances are in the same unit. Convert 2 km to centimeters: 2 km = 2 * 1000 m = 2 * 1000 * 100 cm = 200,000 cm. The RF is then 1:200,000.

What does the 'numerator' represent in a map scale?

The numerator in a map scale, especially in the Representative Fraction, represents the distance on the map.

Which systems of measurement are mentioned in the context of map scales?

The two systems mentioned are the Metric System (using kilometers, meters, centimeters) and the English System (using miles, furlongs, yards, feet).

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