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 Map Scale. Students will learn about the different methods used to represent scale on maps, including the Simple Statement, Graphical Scale, and Representative Fraction (RF). The solutions explain the concept of RF as a universal method, the significance of the numerator and denominator, and how to convert between different measurement systems (Metric and English). Detailed steps are provided for converting a statement of scale into its Representative Fraction form. Understanding map scales is crucial for accurately interpreting geographical data and distances shown on maps. These solutions are designed to help students grasp these concepts thoroughly and prepare effectively for their exams.

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Quick info

Board	CBSE
Class	Class 11
Subject	Geography
Session	2026
Language	English
Type	NCERT Solutions
Chapter	2. Map Scale

Chapter summary

This chapter's NCERT Solutions for Class 11 Geography cover the fundamental concept of Map Scale. It details the three primary methods of scale representation: Simple Statement, Graphical Scale, and Representative Fraction (RF). The solutions emphasize why RF is considered universal and explain the components of a scale. It also includes practical exercises on converting scales between metric and English systems and transforming statement scales into RF, aiding students in map interpretation skills.

Learning outcomes

Understand the concept and importance of map scale.
Identify and differentiate between Simple Statement, Graphical Scale, and Representative Fraction (RF).
Explain why the Representative Fraction method is considered universal.
Convert map distances and ground distances between Metric and English systems.
Calculate the Representative Fraction (RF) from a given statement of scale.

Topics covered

Paper topics

Map Scale
Methods of Scale Representation
Simple Statement Scale
Graphical Scale
Representative Fraction (RF)
Universal Method of Scale
Metric System of Measurement
English System of Measurement
Scale Conversion
Map Interpretation

Important topics

Representative Fraction (RF) as a Universal Method
Conversion of Statement Scale to RF
Understanding Graphical Scale Advantages
Difference between Metric and English Systems

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Questions and Solutions

Exercise 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) method is considered universal because it expresses the scale as a ratio between the map distance and the ground distance using the same units for both. This allows for easy interpretation regardless of the measurement system (metric or English) used by the map reader.

Exercise 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 a scale representation, whether it's a statement like '1 cm represents 20 km' or a Representative Fraction like 1:2,000,000, the part that refers to the distance on the map is considered the numerator (or the first part of the ratio).

Exercise 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. The numerator in any scale representation signifies the distance measured on the map. For example, in the RF '1:200,000', the '1' represents one unit of distance on the map.

Exercise 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 are the Metric System (using units like kilometers, meters, centimeters, millimeters) and the English System (using units like miles, furlongs, yards, feet). The Metric System is widely used globally, including in India, while the English System is common in the United States and the United Kingdom.

Exercise 2 (ii)

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

Solution: A statement of scale provides a direct relationship between map distance and ground distance.

Example in Metric System: '1 centimetre represents 20 kilometres' (1 cm = 20 km). This means that one centimetre measured on the map corresponds to an actual distance of 20 kilometres on the ground.

Example in English System: '1 inch represents 20 miles' (1" = 20 miles). This indicates that one inch on the map corresponds to an actual distance of 20 miles on the ground.

Exercise 2 (iii)

Why is the Representative Fraction method called a Universal method?

Solution: The Representative Fraction (RF) method is termed universal because it expresses scale as a ratio where both the numerator (map distance) and the denominator (ground distance) are in the same units. For instance, an RF of 1:200,000 means 1 unit on the map represents 200,000 of the same units on the ground. This eliminates ambiguity and allows anyone, whether familiar with metric or imperial measurements, to understand and use the scale effectively.

Exercise 2 (iv)

What are the major advantages of the graphical method?

Solution: The graphical method of representing scale, often shown as a line bar, has a significant advantage: it remains accurate and valid even if the map is reduced or enlarged. Unlike a statement of scale or RF, which would become incorrect if the map size changes, the graphical scale adjusts proportionally, making it a reliable tool for measuring distances directly from the map regardless of its reproduction size.

Exercise 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.

Given scale: 5 cm represents 10 km.

First, convert the ground distance (10 km) into centimetres:

1 kilometre = 1000 metres

1 metre = 100 centimetres

Therefore, 1 kilometre = 1000 × 100 = 100,000 centimetres.

So, 10 kilometres = 10 × 100,000 centimetres = 1,000,000 centimetres.

The scale is now 5 cm represents 1,000,000 cm.

To find the RF, we simplify this ratio. We can divide both sides by 5:

1 cm represents $\frac{1,000,000}{5}$ cm.

Calculating the division: $\frac{1,000,000}{5} = 200,000$ .

So, 1 cm represents 200,000 cm.

The Representative Fraction (RF) is written as 1:200,000.

Common mistakes

Confusing the numerator and denominator in scale representation.
Errors in unit conversion when calculating RF from statement scales.
Not understanding that the graphical scale remains valid even after map reduction or enlargement.

Revision tips

Focus on understanding the universal nature of the Representative Fraction (RF).
Practice converting scales between different units (cm to km, inches to miles) diligently.
Memorize the conversion factors between metric and imperial units for scale calculations.
Review the graphical scale's unique advantage of remaining valid upon map resizing.

Practice MCQs

Q1. Which method of representing map scale is considered universal because it uses the same units for both map and ground distances?

Q2. In a map scale represented as a statement like '1 cm represents 20 km', what does the '1 cm' part signify?

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

Q4. If a map shows a scale of 1 inch = 1 mile, what is its Representative Fraction (RF) if we convert miles to inches?

Frequently asked questions

What are the main methods of showing scale on a map?

The three main methods are the Simple Statement (e.g., 1 cm represents 10 km), the Graphical Scale (a line bar showing distances), and the Representative Fraction (RF), which is a ratio like 1:200,000.

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

RF is universal because it expresses the scale as a ratio where both the map distance and the ground distance are in the same units. This allows anyone, regardless of whether they use the metric or English system, to interpret the scale accurately.

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

The numerator in a map scale, particularly in the context of Representative Fraction or Statement of Scale, represents the distance on the map.

Can a graphical scale be used if the map is enlarged or reduced?

Yes, a significant advantage of the graphical scale is that it remains valid and accurate even if the map is reduced or enlarged, as the line bar scales proportionally with the map.

How do you convert a statement scale like '1 cm = 20 km' into a Representative Fraction (RF)?

To convert, you must express both distances in the same unit. First, convert 20 km to cm (20 km = 20 * 1000 m = 20 * 1000 * 100 cm = 2,000,000 cm). The scale becomes 1 cm: 2,000,000 cm, so the RF is 1:2,000,000.

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