NCERT Solutions For Class 8 Maths Chapter 13 - Embibe
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  • Written By Khushbu
  • Last Modified 20-12-2021
  • Written By Khushbu
  • Last Modified 20-12-2021

NCERT Solutions for Class 8 Maths Chapter 13

CBSE Class 8 students can get NCERT Solutions for Class 8 Maths Chapter 13 here on this page. Candidates can refer to the NCERT Solutions from this article online and can also download them for free to study offline. These solutions are handy for practice and revision during your exam preparation. The solutions provided here follow the NCERT textbook and are prepared by the top academic experts at Embibe in full accordance with the CBSE marking scheme. So, you will get full marks if you write these answers in your final exam. Check out the Class 8 Maths Solutions 13th Chapter. Go through the article to get detailed NCERT Maths Class 8 Chapter 13 solutions in PDF, image and online formats and get other important information about the chapter.

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Topic Wise NCERT Solutions for Class 8 Maths Chapter 13

Before getting into the detailed NCERT Solutions for Class 8 Maths Chapter 13, let’s look at the topics included in the chapter:

ExerciseTopics
13.1Introduction
13.2Direct Proportion
13.3Inverse Proportion

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Also, Check:

CBSE Class 8 English SyllabusNCERT Class 8 English Book
CBSE Class 8 Maths SyllabusNCERT Class 8 Maths Book
CBSE Class 8 Science SyllabusNCERT Class 8 Science Book
CBSE Class 8 Social Science SyllabusNCERT Class 8 Social Science Book
CBSE Class 8 Hindi SyllabusNCERT Class 8 Hindi Book

Solved Exercises & Questions for Class 8 Chapter 13

Students can check Class 8 NCERT Solutions for Maths for each exercise and in-text questions on this page. Also, we have provided NCERT Class 8 Maths Chapter 13 PDF download link below these solutions:

Download Class 8 Maths Chapter 13 Solutions PDF

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CBSE Class 8 Maths Chapter 13: Chapter Summary

In this chapter, Direct and Inverse Proportions, students will learn about Direct Proportion and Inverse Proportion, how they are derived, their application, and properties. Sometimes a change in the proportion of one quantity means a change in the proportion of the other. For example, when you buy more apples, you’ll have to pay more money. Similarly, if we increase the speed of a vehicle, the time that it takes to cover some distance goes down. The first is an example of direct proportionality and the second is an example of quantities that are inversely proportional. 

Inverse proportion is the relationship between two variables when their product is equal to a constant value. When the value of one variable increases, the other decreases, so their product is unchanged. In contrast, directly proportional variables increase or decrease with each other.

How to Prepare for CBSE Class 8 Maths Direct & Inverse Proportions

The solved examples given in this chapter will help students in developing a grip on the topics and mastering the concepts easily. They should try to solve the exercise questions on their own and refer to the solutions provided here if they get stuck in between. The NCERT solutions provided here are accurate and simple to follow and will help you to complete your homework or assignments on time.

Students should also take the free Class 8 Maths Chapter 13 mock test on Embibe and refer to the important formulas for Class 8 when necessary. Taking these mock tests will improve your knowledge and help you to score better in your exams.

CBSE Class 8 Maths Chapter 13 Important Questions

Some of the important questions from this chapter are as under:

Important Questions From Direct & Inverse Proportions
  1. If the increase in time causes a corresponding decrease in the price of a product. Identify the proportionality.
  2. Identify the variation: “For the increase in speed, the time to cover a fixed distance reduces”.
  3. A car travels 14km in 25 minutes. Find out how far the car can travel in 5 hours if the speed remains the same?
  4. If 15 workers can finish a task in 42 hours, calculate the number of workers required to complete the same task in 30 hours?
  5. An electric pole, 7 meters high, casts a shadow of 5 meters. Find the height of a tree that casts a shadow of 10 meters under similar conditions.
  6. A train travels 200 km in 5 hours. How much time it will take to cover 600 km?
  7. The scale of a map is given as 1:20000000. Two cities are 4cm apart on the map. Find the actual distance between them.

Sample Questions from NCERT Maths Class 8 Chapter 13

Q1: A machine in a soft drink factory fills 840 bottles in six hours. How many bottles will it fill in five hours?
A: Let the number of bottles filled in five hours be x.
Here the ratio of hours and bottles are in direct proportion.
6/840 = 5/x
6x = 5×840
x = 5×840/6 = 700
Hence machine will fill 700 bottles in five hours.
Q2: In a model of a ship, the mast is 9 cm high, while the mast of the actual ship is 12 m high. If the length of the ship is 28 m, how long is the model ship? ncert solutions for class 8 maths chapter 13 exercises
A: Let the length of the model ship be x.
ncert solutions for class 8 maths chapter 13
Here, the length of the mast and actual length of the ship are in direct proportion.
12/9 = 28/x
x x 12 = 28 x 9
x = (28 x 9)/12
x = 21 cm
Hence, length of the model ship is 21 cm.
Q3: Suppose 2 kg of sugar contains 9×106 crystals. How many sugar crystals are there in
(i) 5 kg of sugar?
(ii) 1.2 kg of sugar?

A: (i) Let sugar crystals be x.
ncert solutions for class 8 maths chapter 13 exercises
Here, the weight of sugar and number of crystals are in direct proportion.
2/(9 x 106) = 5/x
⇒ x x 2 = 5 x (9 x 106)
x = 5 x (9 x 106)/2
= 2.25 x 107
Hence, the number of sugar crystals is 2.25 x 107.
(ii) Let sugar crystals be x.
Here the weight of sugar and number of crystals are in direct proportion.
ncert solutions for class 8 maths chapter 13
2/(9 x 106) = 1.2/x
⇒ x x 2 = 1.2 x (9 x 106)
⇒ x = 1.2 x (9 x 106)/2
= 5.4×106
Hence the number of sugar crystals is  5.4×106.
Q4: Which of the following are in inverse proportion?
(i) The number of workers on a job and the time to complete the job.
(ii) The time taken for a journey and the distance travelled in a uniform speed.
(iii) Area of cultivated land and the crop harvested.
(iv) The time taken for a fixed journey and the speed of the vehicle.
(v) The population of a country and the area of land per person.

A: (i) The number of workers and the time to complete the job is in inverse proportion because less workers will take more time to complete work and more workers will take less time to complete the same work.
(ii) Time and distance covered in direct proportion.
(iii) It is a direct proportion because more are of cultivated land will yield more crops.
(iv) Time and speed are inverse proportion because if time is less, speed is more.
(v) It is an inverse proportion. If the population of a country increases, the area of land per person decreases.
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FAQs Related to Class 8 Maths NCERT Chapter 13

Here we have provided some of the frequently asked questions related to 8 Class Maths Chapter 13:

Q1. What is the benefit of practising NCERT Solutions for Class 8 Maths Chapter 13?
A.
Using NCERT Solutions for Class 8 Maths Chapter 13 for practise helps you by giving an idea about the sample questions that will be asked in the board exam. The solutions provided in this page cover all topics included in the NCERT syllabus, set by the CBSE board.
Q2. Can the NCERT Solutions for Class 8 Maths Chapter 13 only be viewed online?
A.
No, we have provided the solutions in PDF format, so that the students can download them for free and refer to them offline. Thus these NCERT Solutions for Class 8 Maths Chapter 13 can also be viewed online.
Q3. How can I download NCERT Solutions for Class 8 Maths Chapter 13?
A. Students can download the NCERT Solutions of Chapter 13 Direct and Indirect Proportion by going through the given steps:
– Go to the page NCERT Solutions of Chapter 13 Direct and Indirect Proportion of Class 8 Maths.
– On that page, you can find a variety of resources along with the NCERT Solutions including revision notes, textbook questions answers, sample papers, mock test papers, etc. 
– After selecting your required study material click the download icon. 
Q3. List out the important topics of NCERT Solutions for Class 8 Maths Chapter 13.
A.
The important topics covered in NCERT Solutions for Class 8 Maths Chapter 13 are
13.1 – Introduction
13.2 – Direct Proportion
13.3 – Inverse Proportion
Q4. How can I get good marks in Chapter 13 of Class 8 Maths?
A. To get good marks in Chapter 13 Direct and Inverse Proportion of Class 8 Maths, you have to pay attention to what your teacher is teaching in class. Then, do a proper revision. Make notes of the chapter including important concepts and formulas so that you can revise the entire chapter in a short period. Thoroughly go through the NCERT Solutions of Chapter 13 of Class 8 Maths provided here for free on the Embibe website and the Embibe app. 

Attempt 8th CBSE Exam Mock Tests

Make the best use of these solutions. Refer to these resources while solving the exercise questions. Also, if you are not able to answer any question, go through the concepts again to understand it. You can solve the free CBSE Class 8 practice questions on Embibe for Mathematics and Science. You can also take CBSE Class 8 Mock Tests for these subjects. These will be of great help to you.

If you have any query regarding this article on Class 8th Maths Chapter 13, kindly drop your questions in the comment box below and we will get back to you as soon as possible. Stay tuned to Embibe for the latest updates.

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