Read and download NCERT Class 6 Maths Ratio and Proportion in NCERT book for Class 6 Mathematics. You can download latest NCERT eBooks chapter wise in PDF format free from Studiestoday.com. This Mathematics textbook for Class 6 is designed by NCERT and is very useful for students. Please also refer to the NCERT solutions for Class 6 Mathematics to understand the answers of the exercise questions given at the end of this chapter
NCERT Book for Class 6 Mathematics Chapter 12 Ratio and Proportion
Class 6 Mathematics students should refer to the following NCERT Book Chapter 12 Ratio and Proportion in Class 6. This NCERT Book for Class 6 Mathematics will be very useful for exams and help you to score good marks
Chapter 12 Ratio and Proportion NCERT Book Class 6
Ratio and Proportion
12.1 Introduction
In our daily life, many a times we compare two quantities of the same type. For example, Avnee and Shari collected flowers for scrap notebook. Avnee collected 30 flowers and Shari collected 45 flowers. So, we may say that Shari collected 45 – 30 = 15 flowers more than Avnee.
Also, if height of Rahim is 150 cm and that of Avnee is 140 cm then, we may say that the height of Rahim is 150 cm – 140 cm = 10 cm more than Avnee. This is one way of comparison by taking difference.
If we wish to compare the lengths of an ant and a grasshopper, taking the difference does not express the comparison. The grasshopper’s length, typically 4 cm to 5 cm is too long as compared to the ant’s length which is a few mm. Comparison will be better if we try to find that how many ants can be placed one behind the other to match the length of grasshopper. So, we can say that 20 to 30 ants have the same length as a grasshopper.
Consider another example.
Cost of a car is Rs 2,50,000 and that of a motorbike is Rs 50,000. If we calculate the difference between the costs, it is Rs 2,00,000 and if we compare by division; i.e. 2,50,000/50,000 =5/1
We can say that the cost of the car is five times the cost of the motorbike. Thus, in certain situations, comparison by division makes better sense than comparison by taking the difference. The comparison by division is the Ratio. In the next section, we shall learn more about ‘Ratios’.
12.2 Ratio
Consider the following:
Isha’s weight is 25 kg and her father’s weight is 75 kg. How many times Father’s weight is of Isha’s weight? It is three times. Cost of a pen is Rs 10 and cost of a pencil is Rs 2. How many times the cost of a pencil is the cost of a pen? Obviously it is five times.
In the above examples, we compared the two quantities in terms of ‘how many times’. This comparison is known as the Ratio. We denote ratio using symbol ‘:’
Consider the earlier examples again. We can say,
The ratio of father’s weight to Isha’s weight = 75/25 = 3/1 = 3:1
The ratio of the cost of a pen to the cost of a pencil = 10/2 = 5/1 = 5:1
Let us look at this problem.
In a class, there are 20 boys and 40 girls. What is the ratio of
(a) Number of girls to the total number of students.
(b) Number of boys to the total number of students.
First we need to find the total number of students, which is, Number of girls + Number of boys = 20 + 40 = 60.
Then, the ratio of number of girls to the total
number of students is 40/60 = 2/3
Please refer to attached file for NCERT Class 6 Maths Ratio and Proportion
| NCERT Class 6 Maths Knowing our Numbers |
| NCERT Class 6 Maths Whole Numbers |
| NCERT Class 6 Maths Playing with Numbers |
| NCERT Class 6 Maths Basic Geometrical Ideas |
| NCERT Class 6 Maths Understanding Elementary Shapes |
| NCERT Class 6 Maths Integers |
| NCERT Class 6 Maths Fractions |
| NCERT Class 6 Maths Decimals |
| NCERT Class 6 Maths Data Handling |
| NCERT Class 6 Maths Mensuration |
| NCERT Class 6 Maths Algebra |
| NCERT Class 6 Maths Ratio and Proportion |
| NCERT Class 6 Maths Symmetry |
| NCERT Class 6 Maths Practical Geometry |
| NCERT Class 6 Maths Answers to all Chapters |
| NCERT Class 6 Maths Brain Teasers |
Mathematics NCERT Book Class 6 Chapter 12 Ratio and Proportion
The above NCERT Books for Class 6 Mathematics Chapter 12 Ratio and Proportion have been published by NCERT for latest academic session. The textbook by NCERT for Chapter 12 Ratio and Proportion Mathematics Class 6 is being used by various schools and almost all education boards in India. Teachers have always recommended students to refer to Chapter 12 Ratio and Proportion NCERT etextbooks as the exams for Class 6 Mathematics are always asked as per the syllabus defined in these ebooks. These Class 6 Chapter 12 Ratio and Proportion book for Mathematics also includes collection of question. We have also provided NCERT solutions for Class 6 Mathematics which have been developed by teachers of StudiesToday.com after thorough review of the latest book and based on pattern of questions in upcoming exams for Class 6 students.
NCERT Book Class 6 Mathematics Chapter 12 Ratio and Proportion
The latest NCERT book for Chapter 12 Ratio and Proportion pdf have been published by NCERT based on the latest research done for each topic which has to be taught to students in all classes. The books for Class 6 Mathematics Chapter 12 Ratio and Proportion are designed to enhance the overall understanding of students. All Class 6 NCERT textbooks have been written in an easy to understand language which will help to enhance the overall level of Class 6 students.
Chapter 12 Ratio and Proportion NCERT Book Class 6 Mathematics
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Class 6 Mathematics Chapter 12 Ratio and Proportion NCERT Book
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Class 6 Chapter 12 Ratio and Proportion NCERT Book Mathematics
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