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NCERT Solutions for Class 8 Maths Chapter 13 Direct and Inverse Proportions Ex 13.2

 

NCERT Solutions for Class 8 Maths Chapter 13 Direct and Inverse Proportions Ex 13.2 are based on the concept of inverse proportion. There are 11 questions in this exercise whose stepwise solutions are provided by askIITians Maths experts. These solutions are the best guide for you to resolve your doubts and solidify your conceptual understanding of inverse proportions. You can download these solutions at any time from our website and practice the exercise questions at your own pace. We encourage you to learn the concepts of direct and inverse proportions independently using our NCERT Class 8 Maths Solutions for Chapter 13. All our NCERT Solutions are free to download. 

About NCERT Class 8 Maths Chapter 13 Direct and Inverse Proportions Exercise 13.2  

 

You must remember the basic concept of inverse proportion as you start solving this exercise. Two quantities x and y are said to be in inverse proportion if an increase in x causes a proportional decrease in y (and vice-versa) in such a manner that the product of their corresponding values remains constant. This also means:

  • Two quantities a and b will be in inverse proportion if k = ab
  • When two quantities a and b are in inverse proportion then they are written as a = 1b

 

Let us analyse the NCERT questions of thi exercise for your better understanding:

 

Ex 13.2 Q1: The first question of this exercise gives you 5 different situations and you have to find out which one of the given situations are in inverse proportions. Read and analyse the statements carefully to understand the relationship between two quantities. 

 

Ex 13.2 Q2: In this question, you are given a table that defines the prize money divided between different winners of a competition. You have to complete the table and find whether the prize money given to an individual winner is directly or inversely proportional to the number of winners.

 

Ex 13.2 Q3: In this question, you are given a table that describes the relationship between the number of spokes and angles between two spokes of a wheel. You have to find whether the number of spokes and the angles formed between the pairs of consecutive spokes are in inverse proportion, calculate the angle between a pair of consecutive spokes on a wheel with 15 spokes and state how many spokes would be needed if the angle between a pair of consecutive spokes is 40°. 

 

Ex 13.2 Q4: In this question, you are given that if a box of sweets is divided among 24 children, they will get 5 sweets each. You have to find how many would each get if the number of the children is reduced by 4. 

 

Ex 13.2 Q5: In this question, you are given that a farmer has enough food to feed 20 animals in his cattle for 6 days. You have to find how long would the food last if there were 10 more animals in his cattle. 

 

Ex 13.2 Q6: In this question, you are given that a contractor estimates that 3 persons could rewire Jasminder’s house in 4 days. If he uses 4 people instead of three, you have to find how long they should take to complete the job. 

 

Ex 13.2 Q7: In this question, you are given that a batch of bottles was packed in 25 boxes with 12 bottles in each box. If the same batch is packed using 20 bottles in each box, you have to find how many boxes would be filled. 

 

Ex 13.2 Q8: In this question, you are given that a factory requires 42 machines to produce a given number of articles in 63 days. You have to find out how many machines would be required to produce the same number of articles in 54 days. 

 

Ex 13.2 Q9: In this question, you are given that a car takes 2 hours to reach a destination by travelling at the speed of 60 km/h. You have to find how long it will take when the car travels at the speed of 80 km/h. 

 

Ex 13.2 Q10: In this question, you are given that two persons could fit new windows in a house in 3 days. If one of the persons fell ill before the work started, you have to find how long the job would take now. Also, you need to find how many people would be needed to fit the windows in one day. 

 

Ex 13.2 Q11: In this question, you are given that a school has 8 periods a day each of  45 minutes duration. You have to find how long each period would be, if the school has 9 periods a day, assuming the number of school hours to be the same. 

Download Free NCERT Solutions for Class 8 Maths Chapter 13 Direct and Inverse Proportions Exercise 13.2 

 

All the questions given in this exercise are word problems that require you to analyse the situation. Many students get confused in solving word problems and find them tricky. This is where our NCERT Solutions can be helpful. Our solutions provide you with clear explanations that help you understand the word problems of inverse proportions easily. Some distinguishing features of our NCERT Solutions for Chapter 13 Exercise 13.2 are:

 

  • The solutions include stepwise explanations that help you understand how to form inverse proportions between given quantities. 
  • The solutions help you understand how to approach inverse proportion problems in the exam and score full marks. 
  • All the solutions are available in one pdf document that you can download and keep with you for future reference. 
  • You can study these solutions at your own pace and convenience. The solutions are self-explanatory. 

 

Download exercise-wise solutions for Chapter 13 Direct and Inverse Proportions from the askIITians website:

 

  • Chapter 13 Class 8 NCERT Maths Ex 13.1 Solutions - 10 Questions
  • Chapter 13 Class 8 NCERT Maths Ex 13.2 Solutions - 11 Questions

NCERT Class 8 Maths Chapter 13 Direct and Inverse Proportions Ex 13.2 FAQs

 

  1. What are the main topics covered in Chapter 13 Direct and Inverse Proportions exercises? 

 

The exercises of Chapter 13 Direct and Inverse Proportions help you understand how two values are directly and indirectly proportional to each other which means how an increase or decrease in one value affects the other.

 

  1. Where can I find more practice questions related to Exercise 13.2 of Class 8 Maths Chapter 13 Direct and Inverse Proportions? 

 

askIITians provides important questions, extra questions, and practice worksheets related to the direct and inverse proportions chapter. You can download them from our website and practise them whenever you want. 

 

  1. What is included in Class 8 Maths online coaching? 

 

askIITians online coaching for Class 8 Maths includes live interactive classes where students can participate in discussions, ask their doubts and learn directly from our Maths experts. We provide all the study materials like revision notes, NCERT Solutions, extra questions, unit tests, mind maps, flashcards, etc. along with the classes to help students master every chapter thoroughly. 


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