Direct and Inverse Proportion Worksheet for Class 8

Direct and Inverse Proportion Worksheet for Class 8

Direct and Inverse Proportion Worksheet – Class 8

Name: _____________________
Date: _____________________

A. Direct Proportion – Fill in the Blanks

  1. If 5 pencils cost ₹20, then 10 pencils will cost ₹______
  2. 3 kg of apples cost ₹150. 6 kg will cost ₹______
  3. A car travels 60 km in 2 hours. In 5 hours, it will travel ______ km.
  4. 4 books weigh 2 kg. 10 books weigh ______ kg.
  5. If 7 meters of cloth cost ₹350, then 14 meters will cost ₹______

B. Inverse Proportion – Fill in the Blanks

  1. 6 workers can complete a work in 12 days. 4 workers will complete it in ______ days.
  2. A tank can be filled by 8 pipes in 6 hours. If 12 pipes are used, the tank will be filled in ______ hours.
  3. 5 machines take 20 hours to finish a job. 10 machines will take ______ hours.
  4. A team of 9 men can dig a trench in 18 days. 3 men will take ______ days.
  5. 12 printers print 480 pages in 4 hours. 8 printers will take ______ hours.

C. Solve the Proportion Problems

  1. If 7 notebooks cost ₹210, how much do 15 notebooks cost?
  2. A car travels 120 km in 3 hours. How far will it travel in 5 hours at the same speed?
  3. 8 workers can paint a wall in 12 days. How long will 6 workers take?
  4. A recipe requires 2 cups of sugar for 5 cakes. How much sugar is needed for 12 cakes?
  5. 9 men can build a wall in 24 days. How long will it take 12 men to build the same wall?

D. Word Problems

  1. 5 litres of milk cost ₹350. Find the cost of 8 litres.
  2. A car covers 180 km in 3 hours. How far will it go in 7 hours?
  3. 12 men can complete a work in 20 days. How many days will 8 men take to complete the same work?
  4. A factory produces 500 chairs in 25 days. How many chairs can it produce in 30 days?
  5. A rope 40 m long is cut into pieces of equal length. If 5 pieces are made, how long is each piece?

E. Challenge Questions

  1. The cost of 12 pens is ₹180. Find the cost of 20 pens.
  2. A train travels 240 km in 4 hours. How long will it take to travel 360 km?
  3. 6 men can complete a task in 15 days. How many men are required to complete it in 10 days?
  4. 9 workers complete a work in 36 days. 12 workers will complete the same work in ______ days.
  5. A car travels 150 km in 3 hours. How far will it travel in 7 hours at the same speed?