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ICSE Class 9 Mathematics Revision Notes

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Last updated date: 22nd Jul 2024
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Revision Notes for ICSE Class 9 Math - Free PDF Solutions

Class 9 Mathematics revision notes help in revising the important topics by summarising the key points of the chapters as of syllabus concisely and straightforwardly. The students gain an extra edge and confidence for their final examinations. It also prevents them from undergoing last-minute revision and cramming. It also helps students in understanding various application type questions given in the exercises and solved examples as well. Students get to learn in-depth concepts in a short time with the help of revision notes. It helps them in revising the critical topics in a short period so that they can score good marks in exams.

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In What Ways do Notes for Class 9 Maths Help You?

No one can avoid the significance of revision. As a fact, the majority of Class 9 students work hard on it but don't always get success. Students need to plan their advance revisions, so they don't miss on any important concept. Just reading notes constantly without understanding them won't help students in improving their thinking ability. Subjects like Maths require a thorough comprehension and revision of crucial formulas and facts. Here at Vedantu, we have created revision notes for maths that covers all important concepts, formulas, facts based on the ICSE curriculum. We have presented them in the most precise manner so students can understand things better.

Our ICSE Class 9 Maths notes help in the following ways:

  • It saves students from last-minute revision and cramming.

  • It helps students in understanding concepts in depth in a short period.

  • It creates an optimum learning environment.

  • By practising questions on crucial topics, students understand essential points in a better way.

  • Revision notes reduce the chances of forgetting concepts.

  • Increases study attention.

  • Helps to train the brain so it can digest more information and store it for a longer time. 

  • Improves summarising and retaining capacity.

  • Enable students to finish their learning tasks on time. 

  • Help in learning and revising those concepts only that are important from the exam point of view. 

  • The notes are available in PDF format that lets students carry them at school lectures, lab practicals, coaching classes, etc. 

  • Explain concepts with relevant examples and diagrams. 


When should Class 9 Students study Maths Revision Notes?

Students should not crame for hours just before the examinations. We all know that revision works better when done for shorter time durations at regular intervals. According to a survey, it is found that students prefer revising concepts from their textbooks or highlighted texts from reference books. This doesn't improve their performance, instead it wastes their precious time. Revising notes for 20 to 30 minutes regularly and following them up with solving some Math problems boosts scores considerably.

Students are advised to make a study schedule that allocates some time for revising Maths notes on a daily and weekly basis. Naturally, students feel a rush when the exam approaches, and they try to step into all chapters within a single period of time. To prevent this situation, our chapter-wise Maths revision notes help Class 9 kids to revise all the necessary information before any exam or unit test.


ICSE Class 9 Maths Chapters That can't be Ignored 

Many students think that some ICSE Maths Chapters are not important to study. But, it's not true. Well, the fact is that some chapters are significant for the exam and some are not. Here we have listed some chapters that carry more weightage and can not be missed. 

The names of the chapters are as follows. 

  • Commercial Maths

Includes concepts related to compound interest. It has a compound interest without formula and with formula. 

Without formula compound interest deals with problems related to simple interest. Whereas, with formula compound interest deals with problems based on its formula. 

 Algebra

  1. Linear Equations- This is an easy to score chapter. However, students should plot points correctly to get full marks. 

  2. Logarithms- Students can use the concepts of logarithms to solve various equations and expressions. 

 Statistics

This unit has a heavy weightage, and students can score easily in this. From this unit, questions are asked on mean, mode and median. So, students should not skip it. 

                                                                                                                                      

Selina Maths Class 9 Chapter-Wise Revision Plan

Textbooks by Selina publications are among the most recommended books suggested by experts for Class 9 students. It is easy to learn and revise all the essential concepts from a Selina textbook. Showing a necessary step while solving a problem carries marks in the exam. If you miss the vital steps in answers, you lose marks. While practising Selina textbooks, you get a habit of completing all the essential steps while solving a problem. It helps in gaining confidence over the concepts of the syllabus. Moreover, it helps you in clearing the ideas which are useful in competitions like Olympiads. Selina textbooks also provide revision notes, which maximises the exam preparation and helps in getting a top score in Class 9 final exam.

 

Solved Examples

 1. Rs. 15000 is lent at compound interest for two years. The rates for the years are 8% p.a. and 10% p.a. respectively. Calculate the amount.

Solution:

Given: 

P = Rs. 15000

N = 2 years

R1 = 8% and R2 = 10%

Amount = P × (1 + R1 / 100) × (1+ R2 / 100)

Amount = 15000 × (27 / 25) × (11 / 10)

Amount = Rs. 17,820

 

2. The length of the sides of a triangle are in the ratio of 3:4:5. The perimeter of the triangle is 144 cm. Calculate its area.

Solution: Let the sides of the triangle be 

A = 3x

B = 4x

C = 5x 

Given that the perimeter is 144 cm.

3x + 4x + 5x = 144

12x = 144

x = 144/12

x = 12

s = a+b+c / 2 = 12x / 2 = 6x = 72

Therefore, the sides are 36 cm, 48 cm, 60 cm, which are a, b and c respectively.

Thus, the area of the triangle according to the formula is

= square root ( 72 × (72-36) × (72-48) × (72-60) )

= square root ( 746496 )

= 864 cm2

FAQs on ICSE Class 9 Mathematics Revision Notes

1. How Many Chapters are There in ICSE Class 9 Mathematics Syllabus?


The ICSE class 9 mathematics syllabus is quite vast, consisting of 8 topics which are further divided into 28 chapters(approximately), such as:

  1. Pure Arithmetic: This topic consists of rational and irrational numbers.

  2. Commercial Mathematics: This includes compound interest (with and without using formula).

  3. Algebra: It consists of expansions, factorisation, solving simultaneous linear equations in two variables. (with numerical coefficients only), and Indices/ Exponents.

  4. Geometry: It includes triangles, Pythagoras theorem, rectilinear figures, circles.

  5. Statistics: This topic includes an introduction, collection of data, presentation of data, graphical representation of data, mean, median of ungrouped data.

  6. Mensuration: It consists of the area and perimeter of a triangle, area and circumference of a circle, surface area and volume of cube and cuboids.

  7. Trigonometry: Trigonometric ratios, simple 2-D problems involving one right-angled triangle, the concept of trigonometric ratios of complementary angles and their direct application.

  8. Coordinate Geometry: This topic has several subtopics included like cartesian system, plotting of points in the plane for given coordinates, solving simultaneous linear equations in 2 variables graphically and using the distance-section formula in finding the distance between two points.


2. What are the Essential Chapters of ICSE Class 9 Mathematics Revision Notes?

The critical chapters of ICSE class 9 Mathematics revision notes are:

  1. Simultaneous Linear Equation - The essential thing which must be kept in mind while answering questions on this topic is plotting the points correctly. Moreover, it is easy and scoring.

  2. Logarithm - There are various laws in this chapter, which can be used in solving different expressions/equations, including exponents. Enough problems of logarithm should be solved, to get a grip over it.

  3. Mid-Point Theorem - The mid-point theorem and its converse, along with the intercept theorem is used in solving many problems of triangles, quadrilaterals, etc.

  4. Area Theorem - The theorems of this chapter are useful in the mensuration chapter when finding areas of figures of different types of triangles/quadrilaterals.

  5. Circle - The properties of a circle, theorems, and formulae of this topic are critical. Solving a variety of questions on this topic helps you to revise the previous cases.

  6. Rectilinear Figures - The problems from this chapter are less time consuming and easy. This topic should not be skipped.

  7. Statistics (Including Mean and Median) - In class 9 ICSE, it is highly weighted and easy. The topic is continued in higher classes and is itself an independent subject with great applications.

  8. Trigonometry - It is also a heavily weighted part of the exams. The central part of studying in this topic are trigonometric ratios and the relationship between trigonometric ratios and trigonometric values.

3. Can ICSE Class 9 students find the revision notes of all the Maths chapters together in one place?

The ICSE Class 9 students can find the revision notes of all the Maths chapters together at one place on the official website of Vedantu. There will be a list of all the chapters on the webpage of Vedantu. From that list, students can select the chapters they want and can download the notes by clicking the option of ‘Download PDF'. These notes are very useful as it covers all the concepts of the chapter in short. These notes save lots of time for the students at the time of revision during the examination.

4. How to get full marks in the ICSE Class 9 Mathematics examination?

Mathematics is an application-based subject in which students have to use their calculative and logical skills to solve questions because of this reason most of the students find this subject a difficult one. But with the use of the right study materials and proper study strategies, they can easily score well in the Class 9 Mathematics examination. Working out on the sample papers and previous years question papers will assist them in doing self-evaluation and knowing the exam structure. The revision notes will prove to be fruitful in remembering all the formulas and important key points during the examination.

5. Which textbooks are recommended for the ICSE students of Class 9 for studying all the Maths chapters?

The experts recommend the textbooks of the Selina publications for the ICSE students of Class 9 for studying all the Maths chapters. These books help in understanding and learning all the important concepts of the chapters. As it is very important to attempt questions in all the essential steps, therefore by practising these books students will learn to answer the questions in all the required steps. These books boost confidence in students and assist them in completing their courses on time. Students can also prepare for the competitive exams from these books. These books provide revision notes and several questions for practice.