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Math Word Problems - GED, PSAT, SAT, ACT, GRE Preparation
7.3 Representative Ratio

Representative Ratio = Distance in a drawing or sketch : Actual distance on the ground.

Example: A sketch is drawn to the scale 1 cm = 2 km, find the representative ratio.

The scale on the sketch is,1 cm = 2 km.
First, make all the units consistent, i.e., change 2 km into cm.
i.e., 2 km = 2 x 1000m x 100cm = 200,000 cm.
Therefore, the Representative Ratio = 1 : 200,000


Directions: Answer the following questions. Also write at least ten examples of your own.
Q 1: The minimum distance between two cities is 40 km, what will be the distance between them in a map with Representative Ratio of 1:200,000?
20 cm
40 cm
30 cm
4 cm

Q 2: Height of Mt. Everest is 8.89 km. In a map, its height is shown as 4.445cm. What is the Representative Ratio of the map?
8.89:4.445
1:200,000
200,000:1
4.445:8.89

Q 3: Distance between Los Angeles and San Fransisco is 360 km. In a map, this distance is shown as 1.8 cm. Find the Representative Ratio of the map.
1.8:360
1:200,000
200,000:1
360:1.8

Q 4: The length of a bridge is 2631 m. What will be its length in a map with a Representative Ratio of 1:100,000?
1.0 cm
2.631 cm
2.563 cm
26.31 cm

Q 5: The height of Mt. Kanchanganga is 8.58 km. What will be its height in a map with Representative Ratio of 1:250,000?
3.432 cm
3.500 cm
2.5 cm
34.2 cm

Q 6: Distance between two cities is 30 km. In a map the same distance is shown as 2 cm. Find the Representative Ratio of the map.
2:30
1,500,000:1
1:15
1:1,500,000

Q 7: In a map with Representative Ratio of 1:5,000,000, the distance between two landmarks is 12.9 cm. What is the actual distance between the two landmarks?
546 km
359 km
784 km
645 km

Q 8: Area of Lake Superior is 81,460 sq km. What will be its area in a map drawn with a Representative Ratio of 1:4,000,000?
45.64 sq cm
55.96 sq cm
50.91 sq cm
58.36 sq cm

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Question 10: This question is available to subscribers only!


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