Chapter – 13 ( Direct And Inverse Proportion )class 8th

Chapter – 13 ( Direct And Inverse Proportion )

CLASS – VIII ( MATHS)

                                            Very Short Answer Type Questions                                         ( 1 Mark)

Q1.If x varies inversely as y and x = 20 when y = 600, find y when x = 400.

Q2. L varies directly as  m and l is equal to 5 , when m =  . Find l when m = .

Q3. Which of the following quantities vary directly or indirectly with each other:

i)                    Number of articles (x) and their price (y)

ii)                  Weight of articles (x) and their cost (y)

iii)                Area of a land (x) and its cost (y)

Short Answer Type Questions( 2 Mark)

Q4.: If 15 workers can build a wall in 48 hours, how many workers will be required to do the same work in 30 hours?

Q5. 6 pipes are required to fill a tank in 1 hour 20 minutes. How long will it take if only 5 pipes of the same type are used?

Q6.If a box of sweets is divided among 24 children, they will get 5 sweets each. How many would each get, if the number of the children is reduced by 4?

                            Long Answer Type Questions( 3 Mark)

Q7.The principal sanctioned a certain amount to the librarian to purchase some Mathematics books for the school library. She could buy 80 books casting Rs 90 each from the local book seller. There she approached to the publisher who offered her a 20% discount, Find the number of copies of Mathematics books which she could buy from the publisher for the sanctioned money.

Q8. A mixture of paint is prepared by mixing 1 part of green pigments with 6 parts of the base. In the following table, find the parts of base needed to be added.

        

Q9.  A machine fills 540 bottles in six hours. How many bottles will it fill in five hours?

Very Long Answer Type Questions( 4 Mark)

Q10.agmeet has a road map with a scale of 1 cm = 20 km. He drives on a road for 72 km. What would be his distance covered in the map?

Q11. In a PG House, the food provision for 20 persons is for 10 days. How long would the food provision last if there were 5 more persons in that PG house?

Hots

Q12. If men or 9 women can do a piece of work in 19 days then in how many days will 3 men and 6 women do the same work? 

Q13. 39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work? 

Q14.  A garrison of 500 men had provisions for 24 days. However, a reinforcement of 300 men arrived. The food will now last for ……………. . 

Q15. 120 men had provisions for 200 days. After 5 days, 30 men died due to an epidemic. The remaining food will last for …………. . 

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