Map Scales and Distances

Description: This quiz covers the concepts of map scales and distances, including the different types of scales, how to calculate distances on a map, and how to convert between different units of measurement.
Number of Questions: 15
Created by:
Tags: geography cartography map scales distances
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Which of the following is not a type of map scale?

  1. Representative Fraction (RF)

  2. Verbal Scale

  3. Bar Scale

  4. Ratio Scale


Correct Option: D
Explanation:

A ratio scale is not a type of map scale because it does not represent the actual distance on the ground.

A map has a representative fraction (RF) of 1:24,000. What is the distance on the ground represented by 1 centimeter on the map?

  1. 240 meters

  2. 24 meters

  3. 2.4 meters

  4. 0.24 meters


Correct Option: A
Explanation:

To find the distance on the ground represented by 1 centimeter on the map, we divide the denominator of the RF (24,000) by 100 (since 1 centimeter is equal to 100 centimeters). 24,000 / 100 = 240 meters.

A bar scale on a map is 5 centimeters long. If the map has a scale of 1:100,000, what is the actual distance represented by the bar scale?

  1. 500 meters

  2. 5 kilometers

  3. 50 kilometers

  4. 500 kilometers


Correct Option: B
Explanation:

To find the actual distance represented by the bar scale, we multiply the length of the bar scale (5 centimeters) by the scale (1:100,000). 5 cm * 100,000 = 500,000 cm. Since there are 100,000 centimeters in a kilometer, 500,000 cm / 100,000 cm/km = 5 kilometers.

A map has a verbal scale of "1 inch to 1 mile". What is the representative fraction (RF) of this map?

  1. 1:63,360

  2. 1:126,720

  3. 1:253,440

  4. 1:506,880


Correct Option: A
Explanation:

To find the representative fraction (RF) of a map with a verbal scale of "1 inch to 1 mile", we need to convert the units of measurement to a common unit. 1 inch is equal to 2.54 centimeters, and 1 mile is equal to 1609.34 meters. So, 1 inch to 1 mile is equal to 2.54 cm to 1609.34 m. We can then write the RF as 1:1609.34 m / 2.54 cm, which simplifies to 1:63,360.

You are measuring the distance between two cities on a map using a ruler. The distance between the cities on the map is 10 centimeters. If the map has a scale of 1:50,000, what is the actual distance between the cities?

  1. 500 meters

  2. 5 kilometers

  3. 50 kilometers

  4. 500 kilometers


Correct Option: D
Explanation:

To find the actual distance between the cities, we multiply the distance on the map (10 centimeters) by the scale (1:50,000). 10 cm * 50,000 = 500,000 cm. Since there are 100,000 centimeters in a kilometer, 500,000 cm / 100,000 cm/km = 500 kilometers.

A map has a scale of 1:25,000. What is the distance on the ground represented by 2 centimeters on the map?

  1. 50 meters

  2. 100 meters

  3. 250 meters

  4. 500 meters


Correct Option: D
Explanation:

To find the distance on the ground represented by 2 centimeters on the map, we divide the denominator of the scale (25,000) by 100 (since 2 centimeters is equal to 200 centimeters). 25,000 / 100 = 250 meters. Since the scale is 1:25,000, we multiply 250 meters by 25,000 to get the actual distance on the ground, which is 500 meters.

A bar scale on a map is 10 centimeters long. If the map has a scale of 1:100,000, what is the actual distance represented by the bar scale?

  1. 1 kilometer

  2. 10 kilometers

  3. 100 kilometers

  4. 1,000 kilometers


Correct Option: B
Explanation:

To find the actual distance represented by the bar scale, we multiply the length of the bar scale (10 centimeters) by the scale (1:100,000). 10 cm * 100,000 = 1,000,000 cm. Since there are 100,000 centimeters in a kilometer, 1,000,000 cm / 100,000 cm/km = 10 kilometers.

A map has a verbal scale of "1 centimeter to 500 meters". What is the representative fraction (RF) of this map?

  1. 1:50,000

  2. 1:100,000

  3. 1:200,000

  4. 1:400,000


Correct Option: A
Explanation:

To find the representative fraction (RF) of a map with a verbal scale of "1 centimeter to 500 meters", we need to convert the units of measurement to a common unit. 1 centimeter is equal to 100 centimeters, and 500 meters is equal to 50,000 centimeters. So, 1 centimeter to 500 meters is equal to 100 cm to 50,000 cm. We can then write the RF as 1:50,000 cm / 100 cm, which simplifies to 1:50,000.

You are measuring the distance between two cities on a map using a ruler. The distance between the cities on the map is 15 centimeters. If the map has a scale of 1:75,000, what is the actual distance between the cities?

  1. 750 meters

  2. 1.125 kilometers

  3. 1.5 kilometers

  4. 1.875 kilometers


Correct Option: B
Explanation:

To find the actual distance between the cities, we multiply the distance on the map (15 centimeters) by the scale (1:75,000). 15 cm * 75,000 = 1,125,000 cm. Since there are 100,000 centimeters in a kilometer, 1,125,000 cm / 100,000 cm/km = 1.125 kilometers.

A map has a scale of 1:10,000. What is the distance on the ground represented by 1.5 centimeters on the map?

  1. 15 meters

  2. 150 meters

  3. 150 centimeters

  4. 1,500 centimeters


Correct Option: B
Explanation:

To find the distance on the ground represented by 1.5 centimeters on the map, we divide the denominator of the scale (10,000) by 100 (since 1.5 centimeters is equal to 150 centimeters). 10,000 / 100 = 100 meters. Since the scale is 1:10,000, we multiply 100 meters by 10,000 to get the actual distance on the ground, which is 150 meters.

A bar scale on a map is 5 centimeters long. If the map has a scale of 1:50,000, what is the actual distance represented by the bar scale?

  1. 250 meters

  2. 500 meters

  3. 750 meters

  4. 1,000 meters


Correct Option: A
Explanation:

To find the actual distance represented by the bar scale, we multiply the length of the bar scale (5 centimeters) by the scale (1:50,000). 5 cm * 50,000 = 250,000 cm. Since there are 100,000 centimeters in a kilometer, 250,000 cm / 100,000 cm/km = 250 meters.

A map has a verbal scale of "2 inches to 1 mile". What is the representative fraction (RF) of this map?

  1. 1:63,360

  2. 1:126,720

  3. 1:253,440

  4. 1:506,880


Correct Option: B
Explanation:

To find the representative fraction (RF) of a map with a verbal scale of "2 inches to 1 mile", we need to convert the units of measurement to a common unit. 2 inches is equal to 5.08 centimeters, and 1 mile is equal to 1609.34 meters. So, 2 inches to 1 mile is equal to 5.08 cm to 1609.34 m. We can then write the RF as 1:1609.34 m / 5.08 cm, which simplifies to 1:126,720.

You are measuring the distance between two cities on a map using a ruler. The distance between the cities on the map is 20 centimeters. If the map has a scale of 1:200,000, what is the actual distance between the cities?

  1. 2 kilometers

  2. 4 kilometers

  3. 6 kilometers

  4. 8 kilometers


Correct Option: B
Explanation:

To find the actual distance between the cities, we multiply the distance on the map (20 centimeters) by the scale (1:200,000). 20 cm * 200,000 = 4,000,000 cm. Since there are 100,000 centimeters in a kilometer, 4,000,000 cm / 100,000 cm/km = 4 kilometers.

A map has a scale of 1:5,000. What is the distance on the ground represented by 0.5 centimeters on the map?

  1. 2.5 meters

  2. 5 meters

  3. 25 meters

  4. 50 meters


Correct Option: A
Explanation:

To find the distance on the ground represented by 0.5 centimeters on the map, we divide the denominator of the scale (5,000) by 100 (since 0.5 centimeters is equal to 50 centimeters). 5,000 / 100 = 50 meters. Since the scale is 1:5,000, we divide 50 meters by 5,000 to get the actual distance on the ground, which is 2.5 meters.

A bar scale on a map is 15 centimeters long. If the map has a scale of 1:150,000, what is the actual distance represented by the bar scale?

  1. 2.25 kilometers

  2. 3 kilometers

  3. 3.75 kilometers

  4. 4.5 kilometers


Correct Option: A
Explanation:

To find the actual distance represented by the bar scale, we multiply the length of the bar scale (15 centimeters) by the scale (1:150,000). 15 cm * 150,000 = 2,250,000 cm. Since there are 100,000 centimeters in a kilometer, 2,250,000 cm / 100,000 cm/km = 2.25 kilometers.

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