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### Grade 6 - Mathematics7.6 Inverse Variation or Inverse Proportion

 Inverse Variation or Indirect Variation Directions: Answer the following questions. Also write at least ten examples of your own.
 Q 1: Some people working at the rate of 6 hours a day can complete the work in 19 1/2 days. As they have received another contract, they want to finish this work early. Now they start working 6 1/2 hours a day. In how many days will they finish this work?16 days20 days18 days Q 2: At the rate of 28 lines per page, a book has 300 pages. If the book has to contain only 280 pages, how many lines should a page contain?29 lines30 lines32 lines Q 3: A farmer has enough grain to feed 50 cattle for 10 days. He sells 10 cattle. For how many days will the grain last now?50 days55 days40 days Q 4: 35 carts are needed to transport the entire grain in a warehouse at the rate of 8 bags a truck. But the truck drivers objected saying it was too heavy and carried only 7 bags a truck. How many more trucks are needed to transport the grain?954 Q 5: The groceries in a home of 4 members are enough for 30 days. If a guest comes and stays with them, how many days will the groceries last?28 days24 days26 days Q 6: 24 people can construct a house in 15 days. But the owner would like to finish the work in 12 days. How many more workers should he employ?786 Q 7: The number 'r' varies inversely as 's' and the constant of variation is 20. Find s when r=5; and find r when s=-2.4 and -10 respectively-10 and 5 respectively5 and -10 respectively-10 and 4 respectively Q 8: It is known that current (A) in an electric circuit is inversely proportional to the resistance (R) in the circuit. When the resistance is 3 ohms, the current is 2 amperes. Find the resistance if the current is 5 amperes; and find the current when the r1 ohms and 1 amperes respectively1.2 ohms and 1.2 amperes respectively2 ohms and 1 amperes respectively Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!