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### Grade 6 - Mathematics7.7 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: 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?1:200,0004.445:8.898.89:4.445200,000:1 Q 2: 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.1:200,0001.8:360200,000:1360:1.8 Q 3: 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 cm34.2 cm3.500 cm2.5 cm Q 4: 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 cm40 cm30 cm4 cm Q 5: In a map with Representative Ratio of 1:8,000,000, the length of a river is 82.2 cm. Find its actual length.5656 km7324 km4578 km6656 km Q 6: 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 cm55.96 sq cm58.36 sq cm50.91 sq cm 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?645 km546 km359 km784 km 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.1:1,500,0002:301:151,500,000:1 Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!