Worksheet on Inverse Variation

Worksheet on inverse variation word problems there are various types of questions to practice. Students can recall how to solve word problems on inverse variation and then try to solve the worksheet on inverse variation or inverse proportion.


1. If 32 men can reap a field in 15 days, in how many days can 20 men reap the same field? 

2. 12 men can dig a pond in 8 days. How many men can dig it in 6 days? 

3. A hostel has enough food for 125 students for 16 days. How long will the food last if75 more students join them? 

4. A fort had enough food for 80 soldiers for 60 days. How long would the food last if 20 more soldiers join after 15 days? 


5. 500 soldiers in a fort had enough food for 30 days. After 6 days, some soldiers were sent to another fort and thus the food lasted for 32 more days. How many soldiers left the fort? 

Hint: On the day of transfer of some soldiers from this fort, 500 soldiers had enough food for (30 - 60) = 24 days. But, the food lasted for 32 days.

6. 8 taps having the same rate of flow, fill a tank in 27 minutes. If two taps go out of order, how long will the remaining taps take to fill the tank?

7. If 12 men or 15 women can finish a piece of work in 66 days, how long will 24 men and 3 women take to finish the work?

8. 70 patients in a hospital consume 1350 litres of milk in 30 days. At the same rate, how many patients will consume 1710 litres in 28 days?

9. If 30 labourers working 7 hours a day can finish a piece of work in 18 days, how many labourers working 6 hours a day can finish it in 30 days?

10. If 5 men working 6 hours a day can reap a field in 20 days, in how many days will 15 men reap the field if they work for 8 hours a day?

11. If 18 binders can bind 900 books in 10 days, how many binders will be required to bind 660 books in 12 days?

12. If 20 men can build a 112-m-long wall in 6 days, what will be the length of a similar wall that can be built by 25 men in 3 days?

13. 6 men, working 8 hours a day, earn $ 8400 per week. What will be the earning per week of 9 men who work for 6 hours a day?

14. If 270 kg of corn would feed 42 horses for 21 days, for how many days would 360 kg of it feed 21 horses?

15. Five machines, when operated for 9 hours each day, can harvest a farm in 16 days. How many days would 8 machines take to harvest the same farm, if each machine is now operated for 10 hours each day?

Answers for worksheet on inverse variation are given below to check the exact answers of the question.

Answers:


1. 24 days

2. 16 men

3. 10 days

4. 51 days

5. 125 soldiers

6. 36 minutes

7. 30 days

8. 95 patients

9. 21 labourers

10. 5 days

11. 11 binders

12. 70 m

13. $ 9450

14. 56 days

15. 9 days

Ratio and Proportion - Worksheets

Worksheet on Direct Variation

Worksheet on Inverse Variation




8th Grade Math Practice

From Worksheet on Inverse Variation to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.

Share this page: What’s this?

Recent Articles

  1. Shifting of Digits in a Number |Exchanging the Digits to Another Place

    May 19, 24 06:35 PM

    Shifting of Digits in a Number
    What is the Effect of shifting of digits in a number? Let us observe two numbers 1528 and 5182. We see that the digits are the same, but places are different in these two numbers. Thus, if the digits…

    Read More

  2. Formation of Greatest and Smallest Numbers | Arranging the Numbers

    May 19, 24 03:36 PM

    Formation of Greatest and Smallest Numbers
    the greatest number is formed by arranging the given digits in descending order and the smallest number by arranging them in ascending order. The position of the digit at the extreme left of a number…

    Read More

  3. Formation of Numbers with the Given Digits |Making Numbers with Digits

    May 19, 24 03:19 PM

    In formation of numbers with the given digits we may say that a number is an arranged group of digits. Numbers may be formed with or without the repetition of digits.

    Read More

  4. Arranging Numbers | Ascending Order | Descending Order |Compare Digits

    May 19, 24 02:23 PM

    Arranging Numbers
    We know, while arranging numbers from the smallest number to the largest number, then the numbers are arranged in ascending order. Vice-versa while arranging numbers from the largest number to the sma…

    Read More

  5. Comparison of Numbers | Compare Numbers Rules | Examples of Comparison

    May 19, 24 01:26 PM

    Rules for Comparison of Numbers
    Rule I: We know that a number with more digits is always greater than the number with less number of digits. Rule II: When the two numbers have the same number of digits, we start comparing the digits…

    Read More