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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.
Q 1: If y varies inversely as x; and x=6 when y=-3, find y when x=-9.
6
3
2

Q 2: 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 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?
55 days
40 days
50 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?
5
4
9

Q 5: 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?
7
6
8

Q 6: 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?
32 lines
30 lines
29 lines

Q 7: 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?
24 days
28 days
26 days

Q 8: 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

Question 9: This question is available to subscribers only!

Question 10: This question is available to subscribers only!


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