kwizNET Subscribers, please login to turn off the Ads!
Email us to get an instant 20% discount on highly effective K-12 Math & English kwizNET Programs!

Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Grade 6 - Mathematics
7.7 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: 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 cm
3.432 cm
2.5 cm
3.500 cm

Q 2: 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
26.31 cm
2.631 cm
2.563 cm

Q 3: 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 km
645 km
546 km
784 km

Q 4: 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?

Q 5: 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?
1200 km and 1680 km respectively
1860 km and 2100 km respectively
2100 km and 1860 km respectively
1680 km and 1200 km respectively

Q 6: 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.

Q 7: 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 km
6656 km
7324 km
4578 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.

Question 9: This question is available to subscribers only!

Question 10: This question is available to subscribers only!

Subscription to kwizNET Learning System offers the following benefits:

  • Unrestricted access to grade appropriate lessons, quizzes, & printable worksheets
  • Instant scoring of online quizzes
  • Progress tracking and award certificates to keep your student motivated
  • Unlimited practice with auto-generated 'WIZ MATH' quizzes
  • Child-friendly website with no advertisements
  • Choice of Math, English, Science, & Social Studies Curriculums
  • Excellent value for K-12 and ACT, SAT, & TOEFL Test Preparation
  • Get discount offers by sending an email to

Quiz Timer