CBSE Class 8 Maths Direct and Inverse Variation Question Bank

Read and download free pdf of CBSE Class 8 Maths Direct and Inverse Variation Question Bank. Download printable Mathematics Class 8 Worksheets in pdf format, CBSE Class 8 Mathematics Chapter 13 Direct and Inverse Proportions Worksheet has been prepared as per the latest syllabus and exam pattern issued by CBSE, NCERT and KVS. Also download free pdf Mathematics Class 8 Assignments and practice them daily to get better marks in tests and exams for Class 8. Free chapter wise worksheets with answers have been designed by Class 8 teachers as per latest examination pattern

Chapter 13 Direct and Inverse Proportions Mathematics Worksheet for Class 8

Class 8 Mathematics students should refer to the following printable worksheet in Pdf in Class 8. This test paper with questions and solutions for Class 8 Mathematics will be very useful for tests and exams and help you to score better marks

Class 8 Mathematics Chapter 13 Direct and Inverse Proportions Worksheet Pdf

 

QUESTION BANK
 
1. A machine in a soft drink factory fills 960 bottles in six hours. How many bottles will it fill in ten hours?
 
2. A photograph of a bacteria enlarged 50,000 times attains a length of 5 cm. What is the actual length of the bacteria? If the photograph is enlarged 20,000 times, what will be its enlarged length?
 
3. In a model of a ship, the mast is 9 cm high, while the mast of the actual ship is 12 m high. If the length of the ship is 28 m, how long is the model ship?
 
4. A loaded truck travels 14 km in 25 minutes. If the speed remains the same, how far can it travel in 5 hours?
 
5. 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?
 
6. There are 100 students in a hostel. Food provisions for them is for 20 days. How long will the provisions last, if 25 more students join the group?
 
7. lf 15 workers can build a wall in 48 hours, how many workers will be required to do the same work in 30 hours?
 
8. A factory requires 42 machines to produce a given number of articles in 63 days. How many machines would be required to produce the same number of articles in 54 days?
 
9. A car takes 2 hours to reach a destination by travelling at the speed of 60 km/h. How long will it take when the car travels at the speed of 80 km/h?
 
10. A school has 8 periods a day each of 45 minutes duration. How long would each period be, if the school has 9 periods a day, assuming the number of school hours to be the same?
 
11. The amount of extension in an elastic spring varies directly as the weight hung on it. If a weight of 150 gm produces an extension of 2.9 cm, then what weight would produce an extension of 17.4cm?
 
12. In a library 136 copies of a certain book require a shelf length of 3.4 m. How many copies of the same book would occupy a shelf length of 20.4m?
 
13. 11 men can dig 6 3/4 m long trench in one day. How many men should be employed for digging 27 m long trench of the same type in one day?
 
14. The second-class railway fare for 240 km of journey is ` 15. What would be the fare for a journey of 139.2 km?
 
15. A worker is paid ` 200 for 8 days work. If his total income of the month is Rs. 875, for how many days did he work?
 
16. 52 men can do a piece of work in 35 days. In how many days will 28 men do it?
 
17. 56 men can do a piece of work in 42 days. How many men will do it in 14 days?
 
18. 1200 men can finish a stock of food in 35 days. How many more men should join them so that the same stock may last for 25 days?
 
19. In a hostel of 50 girls the food provisions will last 40 days. If 30 more girls join the hostel, how long will these provisions last?
 
20. A group of 3 friends staying together consume 54kg of wheat every month. Some more friends join this group and they find that the same amount of wheat lasts for 18 days. How many new members are there in this group now?
 
21. A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then find the
fraction of the work that is left.
 
22. 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same work in 2 days. Find the time taken by 15 men and 20 boys in doing the same type of work.
 
23. A can do a piece of work in 4 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?
 
24. A tank can be filled by two taps A and B in 8 hours and 6 hours respectively. The full tank can be emptied by a third tap C in 4 hours. If all the taps are turned on at the same time, in how much time will the empty tank be filled up completely?
 
25. Three taps A, B and C can fill an empty tank in 12 hours, 16 hours and 24 hours, respectively. How long would the three taps take to fill the empty water tank if all of them are opened simultaneously?
 
ANSWERS
 
1. 1600 hours
 
2. 2 cm
 
3. 21 cm
 
4. 168 km
 
5. 96 minutes = 1 hour 36 minutes
 
6. 16 days
 
7. 24
 
8. 49 machines
 
9. 1 hour 30 minutes
 
10. 40 minutes
 
11. 900g
 
12. 816
 
13. 44 men
 
14. ` 8.70
 
15. 35 days
 
16. 65 days

 

Chapter 13 Direct and Inverse Proportions CBSE Class 8 Mathematics Worksheet

The above practice worksheet for Chapter 13 Direct and Inverse Proportions has been designed as per the current syllabus for Class 8 Mathematics released by CBSE. Students studying in Class 8 can easily download in Pdf format and practice the questions and answers given in the above practice worksheet for Class 8 Mathematics on a daily basis. All the latest practice worksheets with solutions have been developed for Mathematics by referring to the most important and regularly asked topics that the students should learn and practice to get better scores in their examinations. Studiestoday is the best portal for Printable Worksheets for Class 8 Mathematics students to get all the latest study material free of cost. Teachers of studiestoday have referred to the NCERT book for Class 8 Mathematics to develop the Mathematics Class 8 worksheet. After solving the questions given in the practice sheet which have been developed as per the latest course books also refer to the NCERT solutions for Class 8 Mathematics designed by our teachers. After solving these you should also refer to Class 8 Mathematics MCQ Test for the same chapter. We have also provided a lot of other Worksheets for Class 8 Mathematics which you can use to further make yourself better in Mathematics.

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