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Grade 6 - Mathematics
7.6 Inverse Variation or Inverse Proportion

Inverse Variation or Indirect Variation

Directions: Answer the following questions. Also write at least ten examples of your own.

Name: ___________________

Date:___________________

Grade 6 - Mathematics
7.6 Inverse Variation or Inverse Proportion

Q 1: 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?
40 days
55 days
50 days

Q 2: 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?
20 days
16 days
18 days

Q 3: In an army camp, there is food for 8 weeks for 1200 people. After 3 weeks, 300 more soldiers joined the camp. For how many more weeks will the food last?
another 4 weeks
another 3 weeks
another 5 weeks

Q 4: 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?
8
6
7

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?
26 days
28 days
24 days

Q 6: 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.
5 and -10 respectively
4 and -10 respectively
-10 and 5 respectively
-10 and 4 respectively

Q 7: 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 r
1.2 ohms and 1.2 amperes respectively
2 ohms and 1 amperes respectively
1 ohms and 1 amperes respectively

Q 8: 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?
5
9
4

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