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### Math Word Problems - GED, PSAT, SAT, ACT, GRE Preparation7.3 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: 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?359 km546 km645 km784 km Q 2: 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 cm50.91 sq cm58.36 sq cm55.96 sq cm Q 3: The length of a bridge is 2631 m. What will be its length in a map with a Representative Ratio of 1:100,000?2.563 cm2.631 cm26.31 cm1.0 cm Q 4: In a map with Representative Ratio of 1:8,000,000, the length of a river is 82.2 cm. Find its actual length.6656 km4578 km7324 km5656 km Q 5: 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?200,000:14.445:8.891:200,0008.89:4.445 Q 6: The height of Mt. Kanchanganga is 8.58 km. What will be its height in a map with Representative Ratio of 1:250,000?34.2 cm2.5 cm3.500 cm3.432 cm Q 7: The Representative Ratio of a map is 1:4,000,000. In this map, the distance between Los Angeles and Chicago is 42 cm; and the distance between Detroit and New York is 30 cm. What is the actual distances between these pairs of cities?1680 km and 1200 km respectively2100 km and 1860 km respectively1200 km and 1680 km respectively1860 km and 2100 km respectively Q 8: 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.1:151:1,500,0002:301,500,000:1 Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!