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27
CHAPTER - 13
Direct and Inverse Proportions
Questionscarrying1Markeach:-
Q.1 When one quantity is increased, the other quantity is also increased. This
proportioniscalled.....................
Q.2 Statewhetherthefollowingisacaseofdirectorindirectproportion:
?Numberofpersonsneededtodoapieceofworkandtime?.
Questionscarrying2markseach:-
Q.3 Ifaandbvaryinversely,findthevalueofx:
a50 25
b2x
Q.4 Showthataandbvarydirectly:-
a3615
b 102050
Questionscarrying3markseach:-
Q.5 72 books are packed in 4 cartons of the same size. How many cartons are
requiredfor360books?
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ISSUED BY KENDRIYA VIDYALAYA - DOWNLOADED FROM WWW.STUDIESTODAY.COM
Page 2


27
CHAPTER - 13
Direct and Inverse Proportions
Questionscarrying1Markeach:-
Q.1 When one quantity is increased, the other quantity is also increased. This
proportioniscalled.....................
Q.2 Statewhetherthefollowingisacaseofdirectorindirectproportion:
?Numberofpersonsneededtodoapieceofworkandtime?.
Questionscarrying2markseach:-
Q.3 Ifaandbvaryinversely,findthevalueofx:
a50 25
b2x
Q.4 Showthataandbvarydirectly:-
a3615
b 102050
Questionscarrying3markseach:-
Q.5 72 books are packed in 4 cartons of the same size. How many cartons are
requiredfor360books?
ISSUED BY KENDRIYA VIDYALAYA - DOWNLOADED FROM WWW.STUDIESTODAY.COM
ISSUED BY KENDRIYA VIDYALAYA - DOWNLOADED FROM WWW.STUDIESTODAY.COM
28
Q.6 If36mencancompleteaworkin24days,howmanyextramenbeemployed
soastocompletetheworkin18days?
Q.7 Agarrison of 300 men had provision of food for 50 days.Areinforcement of
200menarrived.Findthenumberofdaysforwhichthefoodwilllast.
Q.8 12 men can dig 8 meters long trench in a day. How many men should be
employedfordigging50meterlongtrenchofthesametypeinoneday?
Q.9 Inanarmycamp,thereare320soliders.Theyhavesufficientfoodfor80days.
Ifafter20days,20solidersleftthecamp,forhowmanymoredayswillthefood
last?
Q.10 Ajourneybybustakes45minutesat40 km/hour.Howfastmustacargoto
undertakethesamejourneyin25minutes?
MultipleChoiceQuestionscarrying1markeach
Q.11 Whentwoquantitiesxandyareindirectproportion,then
a) ÿ  ÿ b)
ÿ
  ÿ
c) x=y d)
ÿ
  ÿ
Q.12 Whentwoquantitiesxandyareininverseproportion,then
a)
ÿ
  ÿ
b)
ÿ
  ÿ
c) x=y d) ÿ  ÿ
ISSUED BY KENDRIYA VIDYALAYA - DOWNLOADED FROM WWW.STUDIESTODAY.COM
ISSUED BY KENDRIYA VIDYALAYA - DOWNLOADED FROM WWW.STUDIESTODAY.COM

FAQs on Assignment 1 - Chapter 13 - Direct and Inverse Proportions, Maths, Class 8

1. What is direct proportion in mathematics?

Ans. Direct proportion is a mathematical relationship between two variables, where an increase in one variable results in a proportional increase in the other variable, and a decrease in one variable leads to a proportional decrease in the other variable. This can be represented by the equation y = kx, where y and x are the two variables, and k is the constant of proportionality.

2. What is inverse proportion in mathematics?

Ans. Inverse proportion is a mathematical relationship between two variables, where an increase in one variable results in a proportional decrease in the other variable, and a decrease in one variable leads to a proportional increase in the other variable. This can be represented by the equation y = k/x, where y and x are the two variables, and k is the constant of proportionality.

3. How can direct proportion be identified in a given problem?

Ans. Direct proportion can be identified in a given problem by observing if an increase or decrease in one variable is accompanied by a corresponding increase or decrease in the other variable. If the ratio between the two variables remains constant, then they are in direct proportion. For example, if the cost of 5 apples is $10, and the cost of 10 apples is $20, we can see that as the number of apples increases, the cost also increases in a proportional manner.

4. How can inverse proportion be identified in a given problem?

Ans. Inverse proportion can be identified in a given problem by observing if an increase or decrease in one variable is accompanied by a corresponding decrease or increase in the other variable. If the product of the two variables remains constant, then they are in inverse proportion. For example, if the time taken to complete a task is inversely proportional to the number of workers, then as the number of workers increases, the time taken to complete the task decreases in a proportional manner.

5. What are some real-life examples of direct and inverse proportion?

Ans. Some real-life examples of direct proportion include the relationship between speed and time taken to travel a distance, where an increase in speed results in a decrease in travel time, or the relationship between the number of workers and the amount of work completed in a given time, where an increase in the number of workers leads to an increase in the amount of work completed. Some real-life examples of inverse proportion include the relationship between the number of days taken to complete a job and the number of workers, where an increase in the number of workers leads to a decrease in the number of days required to complete the job, or the relationship between the concentration of a solution and the volume of solvent, where an increase in the concentration results in a decrease in the volume of solvent required.

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