CBSE Class 8 Maths Direct and Inverse Variation Question Bank

Access the latest CBSE Class 8 Maths Direct and Inverse Variation Question Bank. We have provided free printable Class 8 Mathematics worksheets in PDF format, specifically designed for Chapter 13 Direct and Inverse Proportions. These practice sets are prepared by expert teachers following the 2025-26 syllabus and exam patterns issued by CBSE, NCERT, and KVS.

Chapter 13 Direct and Inverse Proportions Mathematics Practice Worksheet for Class 8

Students should use these Class 8 Mathematics chapter-wise worksheets for daily practice to improve their conceptual understanding. This detailed test papers include important questions and solutions for Chapter 13 Direct and Inverse Proportions, to help you prepare for school tests and final examination. Regular practice of these Class 8 Mathematics questions will help improve your problem-solving speed and exam accuracy for the 2026 session.

Download 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

 

~ Class 8 Mathematics (Old Chapters)
Class 8 Maths Direct and Inverse Proportion Worksheet Set 01
Class 8 Maths Direct and Inverse Proportion Worksheet
Class 8 Maths (Hindi) Anukramanupati Vayutrakmanupati Worksheet
CBSE Class 8 Mental Maths Direct and Inverse Proportion Worksheet in Hindi
CBSE Class 8 Mental Maths Direct and Inverse Proportion Worksheet
CBSE Class 8 Maths Direct and Inverse Variation Worksheet
CBSE Class 8 Maths Direct and Inverse Variation Question Bank
CBSE Class 8 Maths Direct and Inverse Proportion Worksheet Set 02

Free study material for Chapter 3 Proportional Reasoning 2

Chapter 13 Direct and Inverse Proportions CBSE Class 8 Mathematics Worksheet

Students can use the Chapter 13 Direct and Inverse Proportions practice sheet provided above to prepare for their upcoming school tests. This solved questions and answers follow the latest CBSE syllabus for Class 8 Mathematics. You can easily download the PDF format and solve these questions every day to improve your marks. Our expert teachers have made these from the most important topics that are always asked in your exams to help you get more marks in exams.

NCERT Based Questions and Solutions for Chapter 13 Direct and Inverse Proportions

Our expert team has used the official NCERT book for Class 8 Mathematics to create this practice material for students. After solving the questions our teachers have also suggested to study the NCERT solutions  which will help you to understand the best way to solve problems in Mathematics. You can get all this study material for free on studiestoday.com.

Extra Practice for Mathematics

To get the best results in Class 8, students should try the Mathematics MCQ Test for this chapter. We have also provided printable assignments for Class 8 Mathematics on our website. Regular practice will help you feel more confident and get higher marks in CBSE examinations.

Where can I download the latest PDF for CBSE Class 8 Maths Direct and Inverse Variation Question Bank?

You can download the teacher-verified PDF for CBSE Class 8 Maths Direct and Inverse Variation Question Bank from StudiesToday.com. These practice sheets for Class 8 Mathematics are designed as per the latest CBSE academic session.

Are these Mathematics Class 8 worksheets based on the 2026 competency-based pattern?

Yes, our CBSE Class 8 Maths Direct and Inverse Variation Question Bank includes a variety of questions like Case-based studies, Assertion-Reasoning, and MCQs as per the 50% competency-based weightage in the latest curriculum for Class 8.

Do you provide solved answers for CBSE Class 8 Maths Direct and Inverse Variation Question Bank?

Yes, we have provided detailed solutions for CBSE Class 8 Maths Direct and Inverse Variation Question Bank to help Class 8 and follow the official CBSE marking scheme.

How does solving CBSE Class 8 Maths Direct and Inverse Variation Question Bank help in exam preparation?

Daily practice with these Mathematics worksheets helps in identifying understanding gaps. It also improves question solving speed and ensures that Class 8 students get more marks in CBSE exams.

Is there any charge for the Class 8 Mathematics practice test papers?

All our Class 8 Mathematics practice test papers and worksheets are available for free download in mobile-friendly PDF format. You can access CBSE Class 8 Maths Direct and Inverse Variation Question Bank without any registration.