Question 1 :
When the speed is kept fixed, time and distance vary inversely with each other. True or false ?
Question 2 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cca1f59b460d7261edb3.PNG' />
In the above figure, a key board of a harmonium is given. Find the ratio of white keys to black keys on the keyboard.
Question 3 :
Choose the appropriate option (related to the chapter) to replace these blanks with a 10 letter word. Indirect _ _ _ _ _ _ _ _ _ _.
Question 4 :
The area of cultivated land and the crop harvested is a case of direct proportion. True or false ?
Question 5 :
A car travels a distance of 225 km in 25 litres of petrol. How many litres of petrol will be required to cover a distance of 540 kilometres by this car?
Question 6 :
In case of inverse proportion, if $y_1,y_2$ are the values of y corresponding to the values $x_1,x_2$ of x respectively, then -
Question 7 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cc8bf59b460d7261ed97.PNG' />
Look at the above figure. In which of the above case, do the quantities vary directly with each other?
Question 8 :
Length of a side of an equilateral triangle and its perimeter vary inversely with each other. True or false ?
Question 9 :
Choose the correct option. Compound interest on a given sum and the sum invested
Question 10 :
If the cost of 10 pencils is Rs 90, then the cost of 19 pencils is Rs 171. True or false ?
Question 11 :
If two quantities x and y vary directly with each other, then ______ of their corresponding values remains constant.
Question 12 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cc9ff59b460d7261edb1.PNG' />
Refer to the above figure. A recipe for a particular type of muffins requires 1 cup of milk and 1.5 cups of chocolates. Riya has 7.5 cups of chocolates. If she is using the recipe as a guide, how many cups of milk will she need to prepare muffins?
Question 13 :
Choose the correct option. Simple interest on a given sum and the rate of interest
Question 14 :
Ravi starts for his school at 8:20 a.m. on his bicycle. If he travels at a speed of 10 km/h, then he reaches his school late by 8 minutes but on travelling at 16 km/h he reaches the school 10 minutes early. At what time does the school start?
Question 15 :
44 cows can graze a field in 9 days. How many less/more cows will graze the same field in 12 days?
Question 16 :
Choose the correct option. Number of students in a hostel and consumption of food
Question 17 :
The perimeter of a circle and its diameter vary _______ with each other.
Question 19 :
When the distance is kept fixed, speed and time vary directly with each other. True or false ?
Question 20 :
With an increase in quantity of milk, cost of milk also ___________.
Question 21 :
Both x and y are said to vary ______ with each other if for some positive number k, xy = k.
Question 22 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cc8ef59b460d7261ed9c.PNG' />
In the above figure, a table is shown. Determine if x and y are in direct proportion or not.
Question 24 :
When two quantities x and y are in ______ proportion or vary ______ they are written as x ∝ y.
Question 25 :
A car is travelling 48 km in one hour. The distance travelled by the car in 12 minutes is _________.
Question 26 :
Choose the correct option. Sales Tax and the amount of the bill
Question 27 :
In case of direct proportion, if $y_1,y_2$ are the values of y corresponding to the values $x_1,x_2$ of x respectively, then -
Question 28 :
Choose the correct option. Increase in cost and number of shirts that can be purchased if the budget remains the same
Question 29 :
30 persons can reap a field in 17 days. How many more persons should be engaged to reap the same field in 10 days?
Question 30 : <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 31 :
When two quantities x and y are in direct proportion (or vary directly), they are written as
Question 32 :
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 33 :
At a particular time, the length of the shadow of Qutub Minar whose height is 72 m is 80 m. What will be the height of an electric pole, the length of whose shadow at the same time is 1000 cm?
Question 34 :
If two quantities p and q vary inversely with each other then ______ of their corresponding values remains constant.
Question 35 :
Sobi types 108 words in 6 minutes. How many words would she type in half an hour?
Question 36 :
If 25 metres of cloth costs Rs 337.50, then what will be the cost of 40 metres of the same type of cloth?
Question 37 :
If x varies inversely as y and x = 4 when y = 6, then when x = 3 the value of y is _______.
Question 38 :
Shabnam takes 20 minutes to reach her school if she goes at a speed of 6 km/h. If she wants to reach school in 24 minutes, what should be her speed?
Question 39 :
A packet of sweets was distributed among 10 children and each of them received 4 sweets. If it is distributed among 8 children, how many sweets will each child get?
Question 41 :
Two things are said to be varying __________ if they increase (decrease) together such that ratio of their corresponding values remains constant.
Question 42 :
x and y are said to vary directly with each other if for some positive number k, ______ =k.
Question 43 :
Figures that have the same shape but not necessarily the same size are called ________ figures.
Question 44 :
Under the condition that the temperature remains constant, the volume of gas is inversely proportional to its pressure. If the volume of gas is 630 cubic centimetres at a pressure of 360 mm of mercury, then what will be the pressure of the gas if its volume is 720 cubic centimetres at the same temperature?
Question 45 : <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 46 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cc93f59b460d7261eda2.PNG' />
In the above figure, a table is shown. If a and b vary inversely to each other, then find the value of x.
Question 47 :
Both x and y are in direct proportion, then $\frac {1}{x}$ and $\frac {1}{y}$ are
Question 48 : <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 50 : <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.
