Question 1 :
44 cows can graze a field in 9 days. How many less/more cows will graze the same field in 12 days?
Question 2 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cc95f59b460d7261eda5.PNG' />
In the above figure, a table is shown. If a and b vary inversely to each other, then find the value of l.
Question 3 :
If two quantities p and q vary inversely with each other, then
Question 4 :
The perimeter of a circle and its diameter vary _______ with each other.
Question 5 :
Do the quantities increasing or decreasing together need always be in direct proportion ?
Question 6 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cc90f59b460d7261ed9e.PNG' />
In the above figure, a table is shown. Determine if x and y are in direct proportion or not.
Question 7 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cc92f59b460d7261eda1.PNG' />
In the above figure, a table is shown. If a and b vary inversely to each other, then find the value of r.
Question 8 :
There are 20 grams of protein in 75 grams of sauted fish. How many grams of protein is in 225 gm of that fish?
Question 9 :
If xy = 10, then x and y vary ______ with each other.
Question 10 :
Many schools have a recommended students-teacher ratio as 35:1. Next year, school expects an increase in enrolment by 280 students. How many new teachers will they have to appoint to maintain the students-teacher ratio?
Question 11 :
Two quantities are said to vary ______ with each other if an increase in one causes a decrease in the other in such a manner that the product of their corresponding values remains constant.
Question 12 :
If two quantities p and q vary inversely with each other then ______ of their corresponding values remains constant.
Question 13 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cc99f59b460d7261edaa.PNG' />
Refer to the above figure. To match each of the entries in Column I with the appropriate entry in Column II, choose the correct option.
Question 14 :
If on increasing a, b decreases in such a manner that _______ remains ______ and positive, then a and b are said to vary inversely with each other.
Question 15 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cca2f59b460d7261edb5.PNG' />
In the above figure, a key board of a harmonium is given. This pattern of keys is repeated on larger keyboard. How many black keys would you expect to find on a keyboard with 14 such patterns ?
Question 17 :
Both x and y vary inversely with each other. When x is 10, y is 6, which of the following is not a possible pair of corresponding values of x and y?
Question 18 :
If Naresh walks 250 steps to cover a distance of 200 metres, find the distance travelled in 350 steps.
Question 19 :
Two quantities x and y are said to vary directly with each other if for some rational number k, xy = k. True or false ?
Question 20 :
Choose the correct option. Increase in cost and number of shirts that can be purchased if the budget remains the same
Question 21 :
If x = 5y, then x and y vary ______ with each other.
Question 22 :
Side of a rhombus and its perimeter are in ______ proportion.
Question 23 :
Assuming land to be uniformly fertile, the area of land and the yield on it vary
Question 24 :
When two quantities x and y are in direct proportion (or vary directly), they are written as
Question 25 :
If the distance travelled by a rickshaw in one hour is 10 km, then the distance travelled by the same rickshaw with the same speed in one minute is
Question 26 :
If x and y are directly proportional and when x = 13, y = 39, which of the following is not a possible pair of corresponding values of x and y ?
Question 27 :
With an increase in quantity of milk, cost of milk also ___________.
Question 28 :
Problems based on direct proportion can be solved using __________ method.
Question 29 :
x and y are said to vary directly with each other if for some positive number k, ______ =k.
Question 30 :
When the speed remains constant, the distance travelled is ______ proportional to the time.
Question 31 :
If two cardboard boxes occupy 500 cubic centimetres space, then how much space is required to keep 200 such boxes?
Question 32 :
Both x and y are said to vary ______ with each other if for some positive number k, xy = k.
Question 34 :
A contractor undertook a contract to complete a part of a stadium in 9 months with a team of 560 persons. Later on, it was required to complete the job in 5 months. How many extra persons should he employ to complete the work?
Question 35 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cc90f59b460d7261ed9f.PNG' />
In the above figure, a table is shown. If a and b vary inversely to each other, then find the value of p.
Question 36 :
Choose the correct option. The quantity of rice and its cost
Question 37 :
When two quantities are related in such a manner that, if one increases, the other also increases, then they always vary directly. True or false ?
Question 38 :
Length of a side of an equilateral triangle and its perimeter vary inversely with each other. True or false ?
Question 39 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cc9ef59b460d7261edb0.PNG' />
Refer to the above figure. A volleyball court is in a rectangular shape and its dimensions are directly proportional to the dimensions of the swimming pool given above. Find the width of the pool.
Question 40 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cc94f59b460d7261eda4.PNG' />
In the above figure, a table is shown. If a and b vary inversely to each other, then find the value of z.
Question 41 :
Choose the correct option. The distance travelled by CNG bus and the amount of CNG used
Question 42 :
If the cost of 10 pencils is Rs 90, then the cost of 19 pencils is Rs 171. True or false ?
Question 43 :
Both u and v vary directly with each other. When u is 10, v is 15, which of the following is not a possible pair of corresponding values of u and v?
Question 44 :
When two quantities x and y are in ______ proportion or vary ______ they are written as x ∝ y.
Question 45 :
Meenakshee cycles to her school at an average speed of 12 km/h and takes 20 minutes to reach her school. If she wants to reach her school in 12 minutes, her average speed should be
Question 46 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cc91f59b460d7261eda0.PNG' />
In the above figure, a table is shown. If a and b vary inversely to each other, then find the value of q.
Question 47 :
When two quantities x and y are in _______ proportion or vary ______ they are written as x ∝ $\frac {1}{y}$.
Question 48 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cc96f59b460d7261eda7.PNG' />
In the above figure, a table is shown. If a and b vary inversely to each other, then find the value of n.
Question 49 :
Choose the appropriate option (related to the chapter) to replace these blanks with a 10 letter word. Indirect _ _ _ _ _ _ _ _ _ _.
Question 50 :
The variable x is inversely proportional to y. If x increases by p%, then by what per cent will y decrease?
