Question 2 :
Sobi types 108 words in 6 minutes. How many words would she type in half an hour?
Question 3 :
If x varies inversely as y and when x = 6, y = 8, then for x = 8 the value of y is 10. True or false ?
Question 4 :
When two quantities x and y are in _______ proportion or vary ______ they are written as x ∝ $\frac {1}{y}$.
Question 5 :
If x and y are inversely proportional then _____ = k where k is positive constant.
Question 6 :
If x varies inversely as y and y = 60 when x = 1.5. Find x, when y = 4.5.
Question 7 :
If 5 persons can finish a job in 10 days then one person will finish it in 2 days. True or false ?
Question 8 :
If xy = 10, then x and y vary ______ with each other.
Question 9 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cc8ff59b460d7261ed9d.PNG' />
In the above figure, a table is shown. Determine if x and y are in direct proportion or not.
Question 10 :
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 11 :
When two quantities x and y are in direct proportion (or vary directly), they are written as
Question 12 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cc8cf59b460d7261ed99.PNG' />
Look at the above figure. If x varies inversely as y, then what replaces the blank ?
Question 13 :
If p and q are in inverse variation then (p + 2) and (q – 2) are also in inverse proportion. True or false ?
Question 14 :
If d varies directly as $t^2$, then we can write $dt^2$ = k, where k is some constant. True or false ?
Question 15 :
When the speed remains constant, the distance travelled is ______ proportional to the time.
Question 16 :
The cost of 27 kg of iron is Rs 1,080, what will be the cost of 120 kg of iron of the same quality?
Question 17 :
100 persons had food provision for 24 days. If 20 persons left the place, the provision will last for
Question 18 : <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 20 :
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 21 :
When two quantities are related in such a manner that if one increases and the other decreases, then they always vary inversely. True or false ?
Question 22 :
A car is travelling 48 km in one hour. The distance travelled by the car in 12 minutes is _________.
Question 23 :
If 45 persons can complete a work in 20 days, then the time taken by 75 persons will be ______ hours.
Question 24 :
If the cost of 10 pencils is Rs 90, then the cost of 19 pencils is Rs 171. True or false ?
Question 25 :
Choose the correct option. The time taken by a train to cover a fixed distance and the speed of the train _______.
Question 26 : <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 27 :
More the number of workers, ___________ the number of days to finish a job.
Question 28 :
The number of workers and the time to complete a job is a case of direct proportion. True or false ?
Question 29 :
If a deposit of Rs 2,000 earns an interest of Rs 500 in 3 years, how much interest would a deposit of Rs 36,000 earn in 3 years with the same rate of simple interest?
Question 30 :
When the speed is kept fixed, time and distance vary inversely with each other. True or false ?
Question 31 :
When the distance is kept fixed, speed and time vary directly with each other. True or false ?
Question 32 :
A bowler throws a cricket ball at a speed of 120 km/h. How long does this ball take to travel a distance of 20 metres to reach the batsman?
Question 33 :
The mass of an aluminium rod varies directly with its length. If a 16 cm long rod has a mass of 192 g, find the length of the rod whose mass is 105 g.
Question 34 :
In a hostel of 50 girls, there are food provisions for 40 days. If 30 more girls join the hostel, how long will these provisions last?
Question 35 :
Amrita takes 18 hours to travel 720 kilometres. Time taken by her to travel 360 kilometres is _______.
Question 36 :
If two quantities x and y vary directly with each other, then ______ of their corresponding values remains constant.
Question 37 :
Two quantities are said to vary ______ with each other if they increase (decrease) together in such a manner that the ratio of their corresponding values remains constant.
Question 38 :
Choose the appropriate option (related to the chapter) to replace these blanks with a 10 letter word. Indirect _ _ _ _ _ _ _ _ _ _.
Question 39 :
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 40 :
x and y are said to vary directly with each other if for some positive number k, ______ =k.
