# SELINA Solutions for Class 9 Maths ICSE

Study algebra and geometry effortlessly with Selina solutions for ICSE Class 9 Mathematics. Learning Maths can become a challenge when you lack the conceptual clarity. At TopperLearning, we make grasping concepts easier with structured textbook solutions created specially by experts. Our concise solutions assist you in learning concepts such as irrational numbers, circles, trigonometric ratios, statistics and more. Designed in line with the latest syllabus, our solutions provide you the necessary support of model answers for exam preparation.

Are you trying to figure out how to apply Pythagoras’ theorem in a given problem? Do you think you need help with building a frequency distribution table? TopperLearning’s Selina solutions can help you out with the right steps to answer such tricky Maths concepts. If you prepare with the assistance of these solutions, you will experience a significant improvement in your confidence as you begin to grasp these syllabus concepts with regular Maths practice.

## Chapter-wise list of Selina Solutions for Class 9 Maths ICSE:

- Chapter 1 - Rational and Irrational Numbers
- Chapter 2 - Compound Interest (Without using formula)
- Chapter 3 - Compound Interest (Using Formula)
- Chapter 4 - Expansion
- Chapter 5 - Factorisation
- Chapter 6 - Simultaneous (Linear) Equations (Including Problems)
- Chapter 7 - Indices (Exponents)
- Chapter 8 - Logarithms
- Chapter 9 - Triangles [Congruency in Triangles]
- Chapter 10 - Isosceles Triangle
- Chapter 11 - Inequalities
- Chapter 12 - Mid-point and Its Converse [ Including Intercept Theorem]
- Chapter 13 - Pythagoras Theorem [Proof and Simple Applications with Converse]
- Chapter 14 - Rectilinear Figures [Quadrilaterals: Parallelogram, Rectangle, Rhombus, Square and Trapezium]

- Chapter 15 - Construction of Polygons (Using ruler and compass only)
- Chapter 16 - Area Theorems [Proof and Use]
- Chapter 17 - Circle
- Chapter 18 - Statistics
- Chapter 19 - Mean and Median (For Ungrouped Data Only)
- Chapter 20 - Area and Perimeter of Plane Figures
- Chapter 21 - Solids [Surface Area and Volume of 3-D Solids]
- Chapter 22 - Trigonometrical Ratios [Sine, Consine, Tangent of an Angle and their Reciprocals]
- Chapter 23 - Trigonometrical Ratios of Standard Angles [Including Evaluation of an Expression Involving Trigonometric Ratios]
- Chapter 24 - Solution of Right Triangles [Simple 2-D Problems Involving One Right-angled Triangle]
- Chapter 25 - Complementary Angles
- Chapter 26 - Coordinate Geometry
- Chapter 27 - Graphical Solution (Solution of Simultaneous Linear Equations, Graphically)
- Chapter 28 - Distance Formula

## Selina Concise Mathematics Class 9 Solutions chapters:

**Chapter 1 - Rational and Irrational Numbers**

With TopperLearning’s Selina Concise Mathematics Class 9 ICSE solutions Chapter 1, revise topics such as rational numbers and irrational numbers. Understand the place of rational and irrational numbers in the number system. Through the solutions, our experts show you how to simplify a mathematical expression by rationalising the denominator.

**Chapter 2 - Compound Interest (Without Using Formula)**

Learn how interest is calculated when someone borrows or invests money with Selina Concise Mathematics Class 9 solutions for Chapter 2. Practise the application of compound interest in real-life scenarios with accurate solutions by our subject experts. In addition, by learning the concept of compound interest, you can understand how to calculate the outstanding loan amount with the given data. Also, learn to work with the depreciation value of items to calculate their original cost.

**Chapter 3 – Compound Interest (Using Formula)**

Our Selina Concise Mathematics Class 9 ICSE solutions Chapter 3 will help you to understand the difference between simple interest and compound interest. Grasp the expert approach to solve a problem related to the growing principal by using the simple interest formula. Also, discover what happens when interest is compounded yearly or half yearly through the explanations for application-based problems given in your textbook.

**Chapter 4 - Expansion**

Study the concept of expansion by practising our Selina Concise Mathematics Class 9 solutions Chapter 4 Expansion. Get answers on finding the product of two positive numbers as per information about the sum of their squares and the difference between the two numbers. Also, understand how to simplify or expand mathematical expressions according to the given details in the Selina book for Maths.

**Chapter 5 – Factorisation**

Revise the topic of factorisation with the help of Selina Concise Mathematics Class 9 solutions Chapter 5 Factorisation. Learn to factorise the given terms by taking out common factors from those terms. Through the Selina solutions, understand the steps to factorise terms by using the grouping method. Also, practise the various methods that can be used for factorisation to solve Selina Maths textbook Chapter 5 exercises.

**Chapter 6 – Simultaneous (Linear) Equations (Including Problems)**

There are different techniques to solve linear equations. Learn methods such as the elimination method and the substitution method to solve linear equations algebraically. Go through our Selina Maths Class 9 solutions Chapter 6 to understand the graphical method for solving linear equations. In addition, practise the method of elimination by equating coefficients through our chapter solutions.

**Chapter 7 – Indices (Exponents)**

Utilise the Selina Maths Class 9 solutions Chapter 7 Indices to review step-wise answers for simplifying mathematical expressions based on exponents. Find answers for problems covering concepts like negative indices, fractional indices, positive indices and zero indices. Also, practise Chapter 7 Selina solutions to solve application-based questions related to the laws of exponents.

**Chapter 8 – Logarithms**

In this chapter, learn the critical mathematical concept of logarithms. Understand the various laws of logarithms through application-type questions and solutions. Use our Selina Concise Mathematics Class 9 solutions Chapter 8 Logarithms to learn to express the given information in the logarithmic form. Also, get the confidence to work with logarithmic equations and write complete answers in your Maths exams.

**Chapter 9 - Triangles (Congruency in Triangles)**

Study the topic of triangles better with our Selina Concise Mathematics Class 9 solutions Chapter 9 Triangles. Practise the Chapter 9 solutions to revise the criteria of congruency such as Side-Side-Side (SSS), Angle-Angle-Side (AAS), Side-Angle-Side (SAS) and Right Angle-Hypotenuse-Side (RHS). Also, understand the importance of congruency in triangles with expert solutions for simple application-based problems.

**Chapter 10 – Isosceles Triangle**

In this chapter, you will come across several problems asking you to prove that one angle is equal to another angle in a given triangle. Our Maths experts have shared the model solutions to solve these problems and other types of triangle-based problems. In the Selina Maths Class 9 solutions Chapter 10 Isosceles Triangle, you will also find answers to prove that a given triangle is an isosceles triangle with an accurate explanation.

**Chapter 11 – Inequalities**

Take advantage of our Selina Concise Mathematics Class 9 solutions Chapter 11 Inequalities to relearn the topic of inequalities. Solve problems by applying the theory that the greater angle is opposite to the greater side if two sides of a triangle are not equal. To complete your revision for this chapter, write and practise the steps for answering each textbook question in the Selina solutions.

**Chapter 12 – Mid-point and Its Converse (Including Intercept Theorem)**

In this chapter, questions are based on the mid-point theorem and intercept theorem wherein you will be required to provide sufficient proof in your answer. Get the required help to answer these questions by using our ICSE Class 9 Maths Selina solutions Chapter 12 Mid-point and Its Converse. Also, revise the solutions to understand the correct application of the intercept theorem to show that two lines that are part of a triangle bisect each other.

**Chapter 13 – Pythagoras’ Theorem (Proof and Simple Applications with Converse)**

Use TopperLearning’s Selina Concise Mathematics Class 9 ICSE solutions Chapter 13 to provide proofs based on Pythagoras’ theorem. It is important for you to learn the appropriate application of Pythagoras’ theorem as it is used in different types of mathematical problems. Our experts have given the clear steps for each textbook problem to help you relearn the problem-solving methods that you would have learned earlier in class.

**Chapter 14 – Rectilinear Figures (Quadrilaterals: Parallelogram, Rectangle, Rhombus, Square and Trapezium)**

With the assistance of Selina solutions for ICSE Class 9 Maths Chapter 14, learn in detail about rectilinear figures or polygons. Practise the Chapter 14 textbook solutions at TopperLearning to learn about the different types of polygons such as rectangle, square, rhombus, parallelogram and trapezium. Also, know more about the interior angles and exterior angles of polygons with our expert Selina solutions.

**Chapter 15 – Construction of Polygons (Using Ruler and Compass Only)**

Take out your geometry instruments such as compass and ruler to practise the construction of quadrilaterals. In our Selina concise Mathematics Class 9 solutions Chapter 15, you will find the detailed steps to construct diagrams of quadrilaterals such as rhombus, square etc. according to the given data. Generally, the questions include data such as height, diagonal, side etc. of a figure. Our solutions will guide you on using the data for accurate construction of the required diagram in the textbook questions.

**Chapter 16 – Area Theorems (Proof and Use)**

With Selina Concise Mathematics Class 9 solutions Chapter 16, learn to give proofs based on area theorems while solving problems related to quadrilaterals. Get reference answers for learning the steps to find the area in a given figure by using the value of the area of a triangle that is part of the figure. Also, understand how to prove that the area of a particular quadrilateral is equal to the area of a particular triangle by using the details of a given parallelogram diagram.

**Chapter 17 – Circle**

Practise with our Selina solutions for ICSE Class 9 Maths Chapter 17 to easily solve simple problems related to circles. Learn to calculate the length of a chord or the radius of a circle. Use our solutions to understand how to find the distance of a chord from the centre of the circle. In addition, TopperLearning’s experts have given clear answers on how to calculate the distance between two chords, how to find the centre of a circle etc.

**Chapter 18 – Statistics**

Find out which of the variables given in the problem are discrete and which are the continuous ones. With TopperLearning’s Selina solutions for ICSE Class 9 Maths Chapter 18, learn the steps to draw a cumulative frequency table or a combined histogram as per the given information. Now, thoroughly revise the topic of statistics with our well-written Selina textbook solutions.

**Chapter 19 - Mean and Median (For Ungrouped Data Only)**

Through the Selina Maths Class 9 solutions Chapter 19 Mean and Median, understand the approach to work with ungrouped data. Get the model solutions to find the correct mean for observations with a misread number. Learn to identify the excluded or included number in the given data. Also, revise the method to find the median and mean of all the positive factors of a given number.

**Chapter 20 – Area and Perimeter of Plane Figures**

Carry out a revision of the topic of mensuration with our Selina solutions for ICSE Class 9 Maths Chapter 20. Learn to find the area of quadrilaterals such as a square, parallelogram, rhombus, trapezium and rectangle. Get reference answers to calculate the perimeter and area of a triangle. Also, practise solutions for attempting questions based on real-life scenarios like finding the number of tiles to cover a footpath.

**Chapter 21 – Solids (Surface Area and Volume of 3-D Solids)**

Understand the external and internal dimensions of 3-D solids with our Selina Concise Mathematics Class 9 solutions Chapter 21. Learn more about volume and surface area of a cube, cylinder and cuboid. By learning about solids, improve your logical thinking skills and perform basic calculations in real-life situations. For example, learn how to find the height of a rectangular room or the volume of wood in a box. Also, understand the costing of projects such as making a tank with iron sheet or the cost of painting a cubical structure.

**Chapter 22 – Trigonometrical Ratios (Sine, Cosine, Tangent of an Angle and their Reciprocals)**

Through the Selina Concise Mathematics Class 9 solutions Chapter 22, you can revise the concept of trigonometric ratios. Get step-wise answers to calculate the values of cosine, sine, cotangent, tangent, secant and cosecant of a given figure. Understand when to use the Pythagoras’ theorem for finding the value of trigonometric ratios. Also, practise the methods to solve trigonometric equations with our Selina textbook solutions.

**Chapter 23 - Trigonometrical Ratios of Standard Angles (Including Evaluation of an Expression Involving Trigonometric Ratios)**

Learn extensively about trigonometrical ratios of standard angles with our Selina solutions for ICSE Class 9 Maths Chapter 23. Our Maths educators have given step-wise answers to guide you on how to find the value of a given expression. Manage the fear of trigonometry-based problems with our clear and concise Chapter 23 solutions for stress-free Maths practice.

**Chapter 24 - Solution of Right Triangles (Simple 2-D Problems Involving One Right-angled Triangle)**

In this chapter, understand how to find the length of a particular side of a trapezium. Use our Selina Maths Class 9 solutions Chapter 24 as reference to figure out how to find the magnitude of an angle in a right-angled triangle as per the available data. Also, find out how to find the lengths of diagonals of a rhombus by using information about its perimeter and its obtuse angle.

**Chapter 25 - Complementary Angles**

This chapter teaches you about the concept of complementary angles. By using our Selina solutions for ICSE Class 9 Maths Chapter 25, you can revise simple problems based on complementary angles in trigonometry. With concise answers, our Maths experts show you the steps to evaluate the given data in your Chapter 25 Maths textbook problems. Also, get the assistance to grasp how to express the given data in terms of angles between 0°and 45°.

**Chapter 26 - Coordinate Geometry**

Refer to our ICSE Class 9 Maths Selina solutions** **Chapter 26 Coordinate Geometry to understand the Cartesian system. Learn to name the dependent and independent variables in a given equation. Find correct answers for MCQs based on Coordinate Geometry. Also, our experts show you how to use the graphical method for locating the coordinates of a particular vertex based on available details of the remaining vertices of a figure such as the square.

**Chapter 27 - Graphical Solution (Solution of Simultaneous Linear Equations, Graphically)**

Learn to plot graphs for equations given in Maths problems. Revise the critical concept of simultaneous linear equations with TopperLearning’s Selina solutions for ICSE Class 9 Maths Chapter 27. Understand how to state a linear relation between two variables by using information that becomes available after drawing a graph. Now, prepare for your exams with the simplified Class 9 Selina solutions by our Maths experts.

**Chapter 28 - Distance Formula**

Get the necessary guidance to calculate the distance in a given situation with our ICSE Class 9 Maths Selina solutions Chapter 28 Distance Formula. Understand the method of finding the distance between the given pairs of points. Learn to find out the ordinate and abscissa of a given point. Also, get detailed answers for presenting the proof showing that the given vertices are part of a particular figure such as square, rectangle, isosceles right-angled triangle, rhombus etc.

## What are the advantages of using Selina solutions for ICSE Class 9 Maths during revision?

For ICSE Class 9 students, textbooks by Selina publishers are among the recommended books by experts. Learning and revising all the concepts from the latest ICSE Class 9 syllabus is easier with Selina textbooks. While solving problems from the Selina Maths ICSE Class 9 textbook, you will need support. Once you attempt the textbook questions, you may be clueless about the accuracy of your answers. At TopperLearning, we give you the required support with reliable concise Mathematics Class 9 ICSE Selina solutions. Also, you can use the online chapter-wise textbook solutions to go through the important questions and answers during Maths revision before your mock tests or exams.

Important steps in Maths problems carry marks in the exams. If you miss the necessary steps in answers, you lose marks. So, practising ICSE Class 9 Maths Selina solutions is beneficial to get accustomed to using the complete steps while answering questions. As you keep practising Maths problems, you start to gain more confidence over the concepts in your syllabus. In addition, the conceptual clarity will be useful in excelling in school-level Maths competitions such as Olympiads. Finally, concise Selina ICSE 9 Class Math solutions give you handy revision notes to maximise your exam preparation and get a top score in your Maths final exam.

**Why choose TopperLearning’s Selina Solutions for ICSE Class 9 Mathematics?**

TopperLearning is one of the respected education portals in India. Through our online learning portal, we provide comprehensive educational resources for students of ICSE, CBSE and various state boards. All our study materials including the Selina solutions for ICSE Class 9 Mathematics and practice tests are developed by subject experts as per the latest syllabus. To give you maximum study support, we provide question bank, video lessons and solved sample papers too. Our textbook solutions are designed in a manner that to aid Class 9 students in scoring more marks in Maths, and ultimately prepare a stronger foundation for career options such as scientists, engineers, architects and more.

Our academic experts are aware of the changes in the syllabus made by the ICSE board from time to time. Therefore, our experts ensure that the Selina Concise Mathematics Class 9 solutions are updated on our portal as needed. We have carefully organised the Selina solutions so that you can get quick access to the topics that you wish to revise. With Selina solutions, we aim to provide comprehensive guidance to students seeking help with conceptual clarity during homework completion or last-minute revision.

## Frequently Asked Questions for Selina Solutions for ICSE Class 9 Maths

**1. ****What are the important theorems in ICSE Class 9 Maths that I can practise through Selina solutions?**

Some of the important Mathematics theorems in ICSE Class 9 are Pythagoras’ theorem, mid-point theorem, intercept theorem, area theorems and factor theorem.

**2. ****Can you share some of the key topics covered in the Selina Concise Mathematics Class 9 solutions?**

The key topics covered in the ICSE Selina Class 9 solutions include Factorisation, Indices, Simultaneous Linear Equations, Logarithms, Constructions, Triangles, Expansions, Compound Interest and others. To get a response from our Maths academic expert for chapter-specific queries, you can post your question in our ‘Ask the Expert’ section.

**3. ****There are so many chapters in ICSE Class 9 Maths. What should be my approach to cover the revision of all chapters?**

ICSE Class 9 Maths is vast with 28 chapters. You can download the latest ICSE Class 9 Maths syllabus and split your revision into small sessions as per the time available for revision. Also, for quick access of learning materials during revision, we have provided the Selina solutions in a chapter-wise order.

**4. ****Are ICSE Class 9 Maths Selina solutions useful while solving sample papers?**

Yes. You can refer to Selina solutions while solving ICSE Class 9 Maths sample papers. Our solutions will support you with the appropriate methods to answer similar types of Maths questions that can appear in the practice question papers.

**5. ****Do you have solutions for MCQs in Selina Maths Class 9 solutions?**

Yes. Selina solutions for Maths Class 9 will help you with answers for objective-type questions and MCQs from your textbook.

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