Courses
Courses for Kids
Free study material
Offline Centres
More
Store Icon
Store

ICSE Class 10 Mathematics Revision Notes Chapter 7 - Ratio and Proportion

ffImage
Last updated date: 19th Jun 2024
Total views: 649.5k
Views today: 6.49k

Revision Notes for ICSE Class 10 Math Chapter 7 - Free PDF Download

Maths revision is not about rote learning or memorizing formulas. Students should also know the concept behind any equation, formula or theorem. Plus, they need to remember the proof of a theorem so they can use a similar way to find out the solutions to different problems related to the theorem. To improve application-based learning, students need to squeeze every topic into detail. For this, they need Maths notes. Math notes assist students to understand the logic behind every concept. Moreover, it also develops the ability of how to approach any question. Preparing from Maths revision notes helps students to establish a strong foundation in the subject. 


Here are some more benefits of using Math revision notes.

  • Reduces stress- Exam time brings lots of stress and anxiety with it. During this time, revision notes are extremely helpful. These notes allow students to brush up on all their learned concepts in a short time span without putting extra effort into their brains. 

  • Easy to comprehend- The language used in these notes is simple which enables class 10 students to acknowledge every topic properly. 

  • Promotes application-based learning- Revision notes improve the practical knowledge of a student as it provides real-life examples and detailed solutions. 

Popular Vedantu Learning Centres Near You
centre-image
Mithanpura, Muzaffarpur
location-imgVedantu Learning Centre, 2nd Floor, Ugra Tara Complex, Club Rd, opposite Grand Mall, Mahammadpur Kazi, Mithanpura, Muzaffarpur, Bihar 842002
Visit Centre
centre-image
Anna Nagar, Chennai
location-imgVedantu Learning Centre, Plot No. Y - 217, Plot No 4617, 2nd Ave, Y Block, Anna Nagar, Chennai, Tamil Nadu 600040
Visit Centre
centre-image
Velachery, Chennai
location-imgVedantu Learning Centre, 3rd Floor, ASV Crown Plaza, No.391, Velachery - Tambaram Main Rd, Velachery, Chennai, Tamil Nadu 600042
Visit Centre
centre-image
Tambaram, Chennai
location-imgShree Gugans School CBSE, 54/5, School road, Selaiyur, Tambaram, Chennai, Tamil Nadu 600073
Visit Centre
centre-image
Avadi, Chennai
location-imgVedantu Learning Centre, Ayyappa Enterprises - No: 308 / A CTH Road Avadi, Chennai - 600054
Visit Centre
centre-image
Deeksha Vidyanagar, Bangalore
location-imgSri Venkateshwara Pre-University College, NH 7, Vidyanagar, Bengaluru International Airport Road, Bengaluru, Karnataka 562157
Visit Centre
View More
Competitive Exams after 12th Science
tp-imag
bottom-arrow
tp-imag
bottom-arrow
tp-imag
bottom-arrow
tp-imag
bottom-arrow
tp-imag
bottom-arrow
tp-imag
bottom-arrow

Revision Notes for ICSE Class 10 Maths Chapter 7 - Free PDF Download

Free PDF download of Class 10 Mathematics Chapter 7 - Ratio and Proportion (Including Properties and Uses) Revision Notes & Short Key-notes prepared by our expert Math teachers as per CISCE guidelines. To register Maths Tuitions on Vedantu.com to clear your doubts.

 

Do you need help with your Homework? Are you preparing for Exams?

 

You must visit Vedantu for all your academic requirements. 

FAQs on ICSE Class 10 Mathematics Revision Notes Chapter 7 - Ratio and Proportion

1. On which online learning platform students will find the revision notes of Chapter 7 Ratio and Proportion of ICSE Class 10 Mathematics?

The revision notes of Chapter 7 Ratio and Proportion of ICSE Class 10 Mathematics are available on the official website of Vedantu. Students can assess these notes by downloading them in the form of a PDF file. By this, they can study offline too. These notes are free of cost and are prepared by skilled teachers. The notes are of great use as they help students in understanding the chapter clearly. These are considered as the best study material during the exams. The notes help students in memorizing important points and formulas.

2. What is the meaning of the terms Ratio and Compound Ratio?

Let a and b be the two quantities of the same kind where b is not equal to zero, then the quotient a/b is known as the ratio of the quantities a and b. The ratio of a and b is denoted by a:b and is read as a is to b. The quantity a is known as the antecedent and b is known as the consequent.


The ratio obtained by multiplying two or more ratios term-wise is known as the compound ratio.


For example, ac: bd is the compound ratio where a:b and c:d are two different ratios.

3. Define the following terms:

(a)  Proportion

(b) Continued Proportion

(a) Proportion – Consider the four quantities a, b, c and d. Then, the condition where the ratio of the first to the second quantity is equal to the ratio of the third to the fourth quantity is known as proportion. Mathematically, a:b = c:d or a/ b = c/ d.


(b) Continued Proportion – The condition where three and more quantities are taken and the ratio of the first and the second quantity is equal to the ratio of the second and the third quantity is known as the continued proportion. Mathematically, a:b :: b:c or a/b = b/c.

4. What are the important properties of the proportion?

Beneath are the significant properties of the proportion:

  • The first property is known as the invertendo.

  • If the two quantities are written as a:b = c:d then the reverse is also true, that is b:a = d:c.

  •  In the property of alternendo, the ratio of the quantities is defined as a:b = c:d which implies that a:c = b:d.

  •  If a:b = c:d, then a+b:b = c+d:d. This property of the quantities is known as componendo.

  •  The property dividendo of a:b = c:d is defined as a-b:b = c-d:d.

  • The combined property componendo and dividendo of a:b = c:d is described as a+b:a-b = c+d:c-d.

5. What is the difference between commensurable and incommensurable quantities?

Commensurable quantities are those two quantities whose ratio can be defined as the ratio of two integers. For example, the ratio of the two given numbers 3.6:2.4 can be expressed as 3:2 therefore, 3.6 and 2.4 are commensurable quantities.


The two quantities whose ratio can not be expressed as the ratio of two integers are known as incommensurable quantities. For example, the given numbers(3-root 2):5 cannot be expressed as the ratio of two integers hence, (3- root 2) and 5 are incommensurable quantities.