NCERT Solutions for Class 9 Maths Updated 2023-24

NCERT Solutions for Class 9 Maths Updated 2023-24

NCERT Solutions for Class 9 Maths encompass answers to all the exercises. These solutions are conveniently available as downloadable PDFs, chapter-wise, via the provided links on this page. The comprehensive NCERT Solutions for Class 9 Maths cover a wide array of topics from the textbook, such as Number Systems, Coordinate Geometry, Polynomials, Euclid's Geometry, Quadrilaterals, Triangles, Circles, Constructions, Surface Areas and Volumes, Statistics, Probability, and more.

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Using these NCERT Book Solutions for Class 9 Maths, students can effectively practice various questions from each chapter. Our experts have meticulously structured these CBSE Class 9 Maths Solutions to present multiple approaches to solving problems, ensuring a thorough comprehension of the underlying concepts. It is highly recommended that students to diligently practice these solutions to excel in their exams and establish a strong foundation for higher-level classes.

Overview of NCERT Solutions for Class 9 Maths

The Class 9 Maths curriculum comprises important topics such as Probability, Circles, Polynomials, Statistics, Triangles, Heron's Formula, Surface Areas, and Volumes. To excel in Mathematics, students often seek comprehensive guidance and assistance. NCERT Solutions play a crucial role in providing them with the necessary support.

These solutions offer well-explained concepts and detailed explanations for theorems and formulas, facilitating students' understanding during calculations. With PhysicsWallah expert-crafted NCERT Solutions, students access proper explanations that enhance their learning experience.

Preparation for Class 9 Maths requires equal attention to all chapters and topics. NCERT Solutions is a valuable resource, enabling students to focus on exercise questions to grasp key concepts effectively. The step-by-step format of the solutions makes the learning process more accessible and comprehensible for students.

The experts at PhysicsWallah have diligently adhered to CBSE guidelines while developing these solutions. As a result, students can enhance their answering skills in accordance with the CBSE format, thereby improving their performance in final exams. Additionally, these solutions help students identify questioning patterns and adopt appropriate answering formats, enabling them to formulate an effective preparation strategy.

NCERT Solutions for Class 9 Maths Chapter-wise List

Below are the chapter-wise NCERT Solutions for Class 9 Maths, meticulously prepared by the Maths experts at PhysicsWallah. These solutions have been presented in a comprehensive and detailed manner to ensure a thorough understanding of the concepts. By going through these chapter-wise solutions, students can familiarize themselves with each topic and gain a solid grasp of the subject matter.

NCERT Solutions for Class 9 Maths Chapter 1 - Number System

This chapter covers various topics, such as, rational numbers and irrational numbers. By studying the extended version of the number line, students get to learn how to plot integers, rational and irrational numbers. Further, it teaches the representation of terminating/non-terminating recurring decimals (and successive magnification method) and plotting the square roots of 2, 3 and other non-rational numbers on the number line. Additionally, it delves into explaining laws of integral powers and rational exponents with positive real bases in the Number System.

Topics Covered

• Number line representations of natural numbers, integers, and rational numbers.
• This figure represents recurring decimals as recurring/terminating decimals through successive magnifications. Rational numbers are represented as recurring/terminating decimals.
• An example of a nonrecurring/nonterminating √2, √3, √5 decimal. Existence of non-rational numbers (irrational numbers) like √2, √3, and their representation on the number line. Each real number represents a unique point on the number line, and each point on the number line also represents a unique real number.
• Definition of the nth root of a real number (visual proof to be emphasized).

Existence of root X for a given positive real number x (visual proof to be emphasized). Definition of nth root of a real number. Recall of laws of exponents with integral powers. Rational exponents with positive real bases (to be done by particular cases, allowing learner to arrive at the general laws).

Also, access the helpful resources for Class 9 Maths Chapter 1 Number Systems

NCERT Solutions for Class 9 Maths Chapter 2 - Polynomials

In Chapter 2 of NCERT Solutions for Class 9 Maths, students are introduced to polynomials, expressions consisting of variables and coefficients. As well as their factorization, properties such as addition, subtraction, division, and multiplication of polynomials are also taught in this chapter. This chapter also proves the Factor and Remainder Theorem using these polynomials.

Topics Covered

• The definition of a polynomial in one variable, its coefficients, examples and counterexamples, its terms, and the zero polynomial.
• Linear polynomials, quadratic polynomials, cubic polynomials; monomials, binomials, and trinomials.
• Explained the Remainder Theorem with examples and analogies to integers—zeros/roots of polynomials/equations.
• Factorization of ax2 + bx + c, a ≠ 0 where a, b, c are real numbers, and of cubic polynomials using the Factor Theorem.
• Statement and proof of the Factor Theorem.

​ The concept of polynomial functions goes way back to perhaps Babylonians times, since for example as simple a need of computing the area of a square y = x ² is a polynomial, and is needed in buildings and survey, fundamental to core civilization.

The Pythagorean theorem x ² + y ² = z ² is also a polynomial equation, and much basic number theory have been expressed algorithmetically in Greek or pre-Greek era.The modern concept of polynomial as a function of integer powers and their symbolic manipulation is developed in 1600s and 1700s. Finding solutions of polynomials as ready-made formulas is a spectacular chapter in the history of mathematics.

You will learn Definition of a polynomial in one variable, its coefficients, with examples and counter-examples, its terms, zero polynomial. Degree of a polynomial. Constant, linear, quadratic, cubic polynomials: monomials, binomials,trinomials. Factors and multiples. Zeros/roots of a polynomial/equation.

State and motivate the Remainder Theorem with examples and analogy to integers. Statement and proof of the Factor Theorem. Factorization of ax ² +bx+c not equal to zero where a, b, c are real numbers, and of cubic polynomials using the Factor Theorem.

Also, access the helpful resources for Class 9 Maths Chapter 2 Polynomials

NCERT Solutions for Class 9 Maths Chapter 3 - Coordinate Geometry

The Chapter discusses the cartesian plane, the coordinates of a point in the 'xy' plane, and several other terms associated with coordinate geometry.

Topics Covered

• A brief introduction
• The Cartesian System
• Plotting a point in a plane given its coordinates
• For example, plot points in the plane, diagrams of linear equations, the Cartesian plane, coordinates of a point, terms associated with the coordinate plane, notations, plotting points in the plane; focus on linear equations of the type ax + by + c = 0 by writing it as y = mx + c and linking with the chapter on linear equations in two variables.

​ René Déscartes, the great French mathematician of the seventeenth century, liked to lie in bed and think! One day, when resting in bed, he solved the problem of describing the position of a point in a plane. His method was a development of the older idea of latitude and longitude. In honour of Déscartes, the system used for describing the position of a point in a plane is also known as the Cartesian system.

Sub topics covered in this chapter are The Cartesian plane, coordinates of a point, names and terms associated with the coordinate plane, notations, plotting points in the plane, graph of linear equations as examples; focus on linear equations of the type ax + by + c = 0 by writing it as y = mx + c and linking with the chapter on linear equations in two variables.

Also, access the helpful resources for Class 9 Maths Chapter 3 Coordinate Geometry

NCERT Solutions for Class 9 Maths Chapter 4 - Linear Equations in Two Variables

In Chapter 4, students get familiar with coordinate geometry and learn how to plot the graph of a linear equation with two variables. Linear equations in two variables demonstrate the connection between two variables and how this relates to their graphical representation. These equations come with two solutions, producing a line when plotted. NCERT solutions for class 9 maths Chapter 4 linear equations in two variables are created with exercises based on writing linear equations, discovering their answers, plotting them, and seeing how they form lines parallel to x and y axes.

Topics Covered

• Recall of linear equations in one variable.
• Introduction to two-variable equations.
• In the case of linear equations with two variables, prove that there are infinitely many solutions, and justify writing them as ordered pairs of real numbers, plotting them and showing that they seem to line up.
• Real-life examples, such as problems involving ratios and proportions, are simultaneously available with both algebraic and graphical solutions.

​ An equation is simply the mathematical way to describe a relationship between two variables. The variables may be physical quantities, perhaps temperature and position for instance, in which case the equation tells us how one quantity depends on the other, so how the temperature varies with position.

The simplest kind of relationship that two such variables can have is a linear relationship. This means that to find one quantity from the other you multiply the first by some number, then add another number to the result. Put mathematically, if we call the quantities x and y, then they are related by the equation? y = mx + c, where we can choose any values for m and c.

This is a linear equation. Fortunately, in real physical problems, quantities often are related linearly, so this equation is very commonly used.This chapter covers- Recall of linear equations in one variable. Introduction to the equation in two variables.

Also, access the helpful resources for Class 9 Maths Chapter 4 Linear Equations in Two Variables

NCERT Solutions for Class 9 Maths Chapter 5 - Introduction to Euclid’s Geometry

This chapter surveys Euclid's approach to geometry and examines its relevance to modern-day geometry. It offers students a helpful way to define basic geometric shapes and terms. Additionally, they can explore further by completing the two exercises presented in the chapter.

Topics Covered

• Subject matter includes Euclidean history and its importance in India; the method of utilizing observed reality as formal mathematics using definitions, fundamental ideas, axioms/postulates, etc.,
• The five postulates of Euclid with equivalent versions of the fifth; and demonstrate how axioms lead to theorems.
• Example problems include: given two points, prove there is only one line going through them, and that two distinct lines cannot share more than one point in common.

Theorems are statements which are proved through logical reasoning based on previously proved results and some axioms.

Following are the incidence axioms :

• Axiom 1 : A line contains infinitely many points.
• Axiom 2 : Through a given point pass infinitely many lines.
• Axiom 3 : Given two points A and B, there is one and only one line that contains both both the points.

1. Two distinct lines cannot have more than one point in common.
2. Two lines are intersecting if they have a common point. The common point is called the point of intersection.
3. Two lines are parallel if they do not have a common point i.e. they do not intersect.
4. If A and B are two points on a line, then the part of the line with end points at A and B is called the line segment AB. The distance between A and B is called the length of line segment AB.

Also, access the helpful resources for Class 9 Maths Chapter 5 Introduction to Euclids Geometry

NCERT Solutions for Class 9 Maths Chapter 6 - Lines and Angles

This chapter revolves around the theorems present in the topics of Lines and Angles. Students might be asked to prove the statements given in the questions. The chapter covers four axioms and eight theorems. Students will be able to understand the concepts covered in detail by solving three exercises in the chapter.

Topics Covered

• If two lines cross, the vertically opposite angles will be equivalent. Additionally, any lines that are parallel to a given line are also parallel. Moreover, when a transversal intersects two parallel lines, corresponding angles, alternate angles and interior angles are produced.
• Furthermore, the sum of all three angles in a triangle is 180°; additionally, the exterior angle made when one side of a triangle is extended is equal to the sum of the two contained opposite angles.

1. If a ray stands on a line, then the sum of the two adjacent angles is 180° and the converse.
2. (Prove that if two lines intersect, the vertically opposite angles are equal.
3. When a transversal intersects two parallel lines, it results in a corresponding, alternate, and interior angles.
4. Lines, which are parallel to a given line, are parallel.
5. Prove that the sum of the angles of a triangle is 180°.
6. If a side of a triangle is formed, then the exterior angle so produced is equal to the sum of the given two interior opposite angles.

Also, access the helpful resources for Class 9 Maths Chapter 6 Line​s and Angles

NCERT Solutions for Class 9 Maths Chapter 7 - Triangles

Chapter 7 of NCERT Maths Class 9 Solutions covers triangles. This chapter explains the properties of triangles, such as inequalities, congruence, and rules of congruence. During the exercise questions, students are taught how to apply congruence rules.

Topics Covered

• Triangles can be congruent under different conditions.
• According to SAS Congruence, if two triangles have any two sides and the included angle of one triangle equals any two sides and the included angle of the other triangle, they are congruent.
• Similarly, ASA Congruence states that if two triangles have any two angles and the included side of one triangle equal to any two angles and the included side of the other triangle, then they can be said to be congruent. SSS Congruence states that if the three sides of one triangle are equal to the three sides of another triangle, they are considered congruent. Furthermore, two right triangles can be considered congruent if their hypotenuse and a side (in respective order) are equal in both triangles.
• The angles opposite to equal sides in a triangle are also equal. Similarly, opposite to equal angles in a triangle lay sides which are also equal. Moreover, Triangle Inequalities hold true when it comes to relation between angle and facing side; thereby proving inequalities in a triangle.

​ Similarity is some degree of symmetry in either analogy and resemblance between two or more concepts or objects. In philosophy, similarity is defined as sharing properties or characteristic traits Looking around you will see many objects which are of the same shape but of same or different sizes.

For example, photographs of different sizes developed from the same negative are of same shape but different sizes, the miniature model of a building and the building itself are of same shape but different sizes. All those objects which have the same shape but different sizes are called similar object.

Definitions, examples, counter examples of similar triangles.

1. If a line is drawn parallel to one side of triangle to intersect the other two sides in distinct points the other two sides are divided in the same ratio.
2. If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side.
3. If in two triangles, the corresponding angles are equal, their corresponding sides are proportional and the triangles are similar.
4. If the corresponding sides of two triangles are proportional, their corresponding angles are equal and the two triangles are similar.
5. If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are proportional, the two triangles are similar.
6. If a perpendicular is drawn from the vertex of the right angle of right to the whole triangle and too each other.
7. The ratio of the areas of two similar triangles is equal to the ratio of the squares on their corresponding sides.
8. In a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides.
9. In a triangle, if the square on one side is equal to sum of the squares on the other two sides, the angles opposite to the first side is a right triangle.

Also, access the helpful resources for Class 9 Maths Chapter 7 Triangles

NCERT Solutions for Class 9 Maths Chapter 8 - Quadrilaterals

In Chapter 8, you will learn about quadrilaterals and their various properties. A quadrilateral is a figure obtained by joining four distinct points on a plane. Students are provided with in-depth knowledge about the topic in this chapter.

Topics Covered

• (Prove) The diagonal divides a parallelogram into two congruent triangles.
• (Motivate) In a parallelogram, opposite sides are equal and conversely.
• (Motivate) In a parallelogram, opposite angles are equal and conversely.
• (Motivate) A quadrilateral is a parallelogram if a pair of its opposite sides are parallel and equal.
• (Motivate) In a parallelogram, the diagonals bisect each other conversely.
• (Motivate) In a triangle, the line segment joining the midpoints of any two sides is parallel to the third side and (motivate) its converse.

There are three topological types of quadrilaterals convex quadrilaterals concave quadrilaterals and crossed quadrilaterals. A quadrilateral with two sides parallel is called a trapezoid, whereas a quadrilateral with opposite pairs of sides parallel is called a parallelogram.

A special type of quadrilateral is the cyclic quadrilateral, for which a circle can be circumscribed so that it touches each polygon vertex. Another special type is a tangential quadrilateral, for which a circle can be inscribed so it is tangent to each edge. A quadrilateral that is both cyclic and tangential is called a bicentric quadrilateral.

(Prove) The diagonal divides a parallelogram into two congruent triangles. (Motivate) In a parallelogram opposite sides are equal and conversely. (Motivate) In a parallelogram opposite angles are equal and conversely. (Motivate) A quadrilateral is a parallelogram if a pair of its opposite sides is parallel and equal. (Motivate) In a parallelogram, the diagonals bisect each other and conversely. (Motivate) In a triangle, the line segment joining the mid points of any two sides is parallel to the third side and (motivate) its converse.

Also, access the helpful resources for Class 9 Maths Chapter 8 Quadrilaterals

NCERT Solutions for Class 9 Maths Chapter 9 - Areas of Parallelograms and Triangles

You have studied the concept of quadrilaterals and triangles, and now you will study specific quadrilaterals, viz. parallelograms and triangles in relation to the calculation of their area. In this chapter, students learn the formula for area calculation and the relationship between different geometric figures.

Topics Covered

• The diagonal of a parallelogram serves as a divider, forming two congruent triangles.
• Opposite sides and angles in the quadrilateral are equal, a defining feature of a parallelogram.
• Moreover, the diagonals bisect each other in such a case, as well as the line segment joining the midpoints of any two sides parallel to the third side.

First of all, obviously, equally oriented, congruent parallelograms have the same area, because they can be made to cover each other. An examination of two symmetric parallelograms, which have the same area, because they will cover each other on reflection, is a step in the right direction. The area of a parallelogram is obtained by sub-division into two congruent triangles. The area of a trapezoid also involves its being cut up by a diagonal into two triangles.

Review concept of area, recall area of a rectangle. Prove Parallelograms on the same base and between the same parallels have the same area. Motivate Triangles on the same base and between the same parallels are equal in area and its converse.

Also, access the helpful resources for Class 9 Maths Chapter 9 Areas of Parallelograms and Triangles at Physics Wallah

NCERT Solutions for Class 9 Maths Chapter 10 - Circles

Various concepts, such as the angle subtended by the arc of a circle, cyclic quadrilaterals, etc., are also discussed in this chapter of Class 9 Maths. NCERT Solutions for Class 9 Maths Chapter 10 Circles can help students develop logical thinking and problem-solving skills.

Topics Covered

Topics Covered in Class 9 Maths Chapter 10 Circles:

Examples include definitions of circle-related concepts, radius, circumference, diameter, chord, arc, and subtended angle.

1. (Prove) Equal chords of a circle subtend equal angles at the center and (motivate) its converse.
2. (Motivate) The perpendicular from the center of a circle to a chord bisects the chord, and conversely, the line drawn through the center of a circle to bisect a chord is perpendicular to the chord.
3. (Motivate) There is one and only one circle passing through three given non-collinear points.
4. (Motivate) Equal chords of a circle (or of congruent circles) are equidistant from the center (s) and conversely.
5. (Prove) The angle subtended by an arc at the center is double the angle subtended by it at any point on the remaining part of the circle.
6. (Motivate) Angles in the same segment of a circle are equal.
7. (Motivate) If a line segment joining two points subtends equal angles at two other points on the same side of the line containing the segment, the four points lie on a circle.
8. (Motivate) The sum of either pair of opposite angles of a cyclic quadrilateral is 1800 and its converse.

The circle has been known since before the beginning of recorded history. It is the basis for the wheel which, with related inventions such as gears, makes much of modern civilization possible. In mathematics, the study of the circle has helped inspire the development of geometry and calculus.

Circles are simple closed curves which divide the plane into an interior and an exterior. The circumference of a circle is the perimeter of the circle, and the interior of the circle is called a disk. An arc is any connected part of a circle. A circle of infinite radius is considered to be a straight line. A circle with zero radius is considered as a point.

Through examples, arrive at definitions of circle related concepts, radius, circumference, diameter, chord, arc, subtended angle.

1. Equal chords of a circle subtend equal angles at the center and (motivate) its converse.
2. The perpendicular from the center of a circle to a chord bisects the chord and conversely, the line drawn through the center of a circle to bisect a chord is perpendicular to the chord.
3. There is one and only one circle passing through three given non-collinear points.
4. Equal chords of a circle (or of congruent circles) are equidistant from the center(s) and conversely.
5. The angle subtended by an arc at the center is double the angle subtended by it at any point on the remaining part of the circle.
6. Angles in the same segment of a circle are equal.
7. If a line segment joining two points subtends equal angle at two other points lying on the same side of the line containing the segment, the four points lie on a circle.
8. The sum of the either pairs of the opposite angles of a cyclic quadrilateral is 180º and its converse.

Also, access the helpful resources for Class 9 Maths Chapter 10 Circles at Physics Wallah

NCERT Solutions for Class 9 Maths Chapter 11 - Constructions

You will learn how to construct triangles using angle bisectors in this chapter. These exercises are quite easy if you understand them and practice them daily. Students will be taught certain methods for constructing certain types of triangles.

Topics Covered

• Construction of bisectors of a line segment and angle, 60°, 90°, 45° angles etc., equilateral triangles.
• Construction of a triangle given its base, sum/difference of the other two sides, and one base angle.

As they are the composition of five elemental constructions over a set of elements, as an algebra over an axiomatic system, the barrier between algebra and geometry began to fade out.In modern times, geometric concepts have been generalized to a high level of abstraction and complexity, many modern branches of the field are barely recognizable as the descendants of early geometry.

1. Division of a line segment in a given ratio (internally).
2. Tangent to a circle from a point outside it.
3. Construction of a triangle similar to a given triangle.

Also, access the helpful resources for Class 9 Maths Chapter 11 Constructions at Physics Wallah

NCERT Solutions for Class 9 Maths Chapter 12 - Heron’s Formula

The 12th chapter of Class 9 Maths uses Heron's formula to calculate the area of a triangle when the lengths of its sides are known. Students are also taught how to calculate the area of quadrilaterals and other polygons by dividing them into triangles and applying Heron's formula.

Topics Covered

• Find the area of a quadrilateral using Heron's formula (without proof).

Also, access the helpful resources for Class 9 Maths Chapter 12 Heron’s Formula at Physics Wallah

NCERT Solutions for Class 9 Maths Chapter 13 - Surface Areas and Volumes

In this chapter, you will learn how to calculate the surface areas and volumes of cubes, cuboids, cones, etc. NCERT Solutions for Class 9 Maths Chapter 13 Surface Areas and Volumes include accurately designed and extensively solved exercise questions for an excellent understanding of Surface Areas and Volumes.

Topics Covered

• Volumes and surface areas of cubes, cuboids, spheres (including hemispheres), and right circular cylinders.

Also, access the helpful resources for Class 9 Maths Chapter 13 Surface Areas and Volumes at Physics Wallah

NCERT Solutions for Class 9 Maths Chapter 14 - Statistics

This chapter explains how data is presented, including frequency distribution. Students are exposed to different diagrams, such as Bar graphs, Histograms, and Frequency Polygons, to understand graphical representations of data. They learn the measure of central tendency, which includes mean, median, and mode, from raw data.

Topics Covered

• Introduction to Statistics
• Collection and presentation of data - tabular form, ungrouped/grouped, bar graphs, histograms (with varying base lengths), frequency polygons, and qualitative data analysis to determine the best way to present the collected information.
• Ungrouped data mean, median, and mode.

We have studied in previous class about classification of given data into ungrouped as well as grouped frequency distributions. We have also learnt to represent the data with the help of various graphs like bar graphs, histogarms and frequency polygons. Now, we will study about certain numerical representatives of the ungrouped data, mean, median and mode.

In this chapter we will study mean, median and mode from ungrouped data to that of grouped data. Besides this, we will know the concept of cumulative frequency, the cumulative frequency distribution and also how to draw cumulative frequency curves.

• Sub topics
• Introduction
• Direct Method
• Assumed Mean Method
• Step-Deviation Method
• Mode of Grouped Data
• Median of Grouped Data
• Median of Grouped Frequency Distribution
• Graphical Representation of Cumulative Frequency Distribution

Also, access the helpful resources for Class 9 Maths Chapter 14 Statistics at Physics Wallah

NCERT Solutions Class 9 Maths Chapter 15 - Probability

Events of experiments are collections of some outcomes of an experiment. A probability is the probability that an event will occur. This chapter teaches students how to measure a particular outcome's probability. There is only one exercise in this chapter. As these problems are based on real-life incidents, students are more likely to be interested in solving them.

Topics Covered

• This course focuses on empirical probability using history, repeated experiments, and observed frequency.

(Much time will be devoted to group and individual activities to motivate the concept;

​ In investigating weighing, and sorting and finding an efficient code, you may note a common thread. In each case, and in many others that we will encounter later, we start with a (usually large) number of possible situations, and are interested in determining the true situation from among them. Thus we have devised schemes for doing so in the contexts mentioned.

Probability theory, which by the way was developed initially in the study of gambling schemes, is intended to provide a framework for modeling problems of this kind, with the aim of providing information about what we can “expect” to happen in each context.

This is done by defining a Sample Space whose points or elements are the possible situations, each one of which is given a weight or probability according to the proportion of the time we expect it to be the true situation.Then we determine what to “expect” as the answer to some question, by representing the answer as a function defined on the points of the sample space, and averaging that function over them.

In most contexts, including gambling and all that we have considered so far, the potential situations can be represented by strings of binary bits (or ternary symbols, in the case of weighing). In the following discussion we assume that our sample space consists of points each of which is such a bit string.

Also, access the helpful resources for Class 9 Maths Chapter 15 Probability at Physics Wallah

NCERT Solutions for Class 9 Maths PDF

PhysicsWallah offers a free NCERT Maths class 9 solutions PDF download. Subject matter experts with extensive knowledge and years of experience have designed the 9th-class Maths book solutions. These Class 9 Maths NCERT Solutions PDFs are in accordance with the latest NCERT guidelines and exam pattern, making them an ideal study resource for exam preparation. You can also download the NCERT Solutions for Class 9 Maths PDF to keep on hand for quick revision before exams. Of all the online materials available for the Class 9 Maths syllabus, Class 9th Maths NCERT solutions are viewed as one of the more effective methods of practicing for your Class 9 examinations.

Benefits of PhysicsWallah NCERT Maths Solutions for Class 9

The National Council for Educational Research and Training standardized India's education system. NCERT solutions can help you understand concepts and questions from the NCERT textbooks in-depth and detailedly. NCERT Solutions for Class 9 Maths also offers the following benefits:

1. The concepts are explained in detail.

In the solutions, all the concepts have been explained in easy language and detail. You will better understand the concepts and score higher on your exams.

2. Accurate solutions

Experienced teachers have crafted NCERT Solutions for Class 9 Maths. The solutions have been well-reviewed so that students are not misled.

3. Online and offline learning

NCERT Maths class 9 solutions are available in PDF format online. You can download these pdfs and study offline as well. This means you can study anywhere and anytime. You can also share the PDF download links with your friends.

4. Clarify Your Doubts

If you have any doubts about any topic from your Class 9 Maths syllabus, you can use these NCERT solutions to clear your doubts. The solutions are provided easily to help you understand the concepts.

5. Designed by the best teachers

NCERT Solutions for Maths Class 9 by subject matter experts. By studying through these high-quality study materials, you can score more marks. To solve problems of various difficulty levels, you must conduct extensive research on the subject. Once you are done, you will be able to solve various problems.

6. Aids in exam preparation

Students can easily identify the important chapters with significant weightage in the examinations by looking at the Chapter-wise List Of Class 9 Maths in the NCERT Solutions. They can prepare well for their exams by focusing on the important chapters and getting more marks.

7. Facilitates revisions.

While revising the chapters, students don't have to review the entire book. NCERT solutions explain all the topics and concepts straightforwardly. By solving the problems, students will become familiar with the theorems, formulas, and descriptions used. Thus, they will be able to complete the chapter easily.

Preparation Tips for Class 9 Maths

As you know, Class 9 Maths is one of the most important subjects in school. You must prepare for the exams well in advance to get good grades in Maths. Here are a few tips to help you prepare for your Class 9 Maths exams:

1. First and foremost, ensure you clearly understand the concepts taught in class. If unsure about any concept, ask your teacher or refer to a reliable source for clarification.
2. Practice as many questions as possible once you understand the concepts. This will help you get comfortable solving problems and improve your speed.
3. Pay attention to the type of questions asked in previous years' papers and focus on solving similar questions in your practice sessions. This will give you an idea of what to expect in the exam and help you score better marks.
4. Use online resources such as NCERT Solutions and other study materials to enhance your preparation. These resources will give you an edge over students who may not use them effectively.
5. Don't forget to take some mock tests before the actual exam to gauge your level of preparedness and work on improving areas of weakness.

Why Physics Wallah is Best for NCERT Solutions for Class 9 Maths

When seeking NCERT solutions for Class 9 Maths, Physics Wallah emerges as a top-notch educational platform.

• With its comprehensive and meticulously curated content, students can delve into mathematics with confidence and clarity.
• The website provides a wide range of NCERT solutions tailored specifically to the syllabus of Class 9 Maths, ensuring that students have access to accurate and reliable answers, whether algebraic equations or geometric concepts.
• Physics Wallah engagingly presents these topics through detailed explanations and step-by-step problem-solving techniques. Moreover, the platform offers video tutorials by experienced educators who break down complex mathematical concepts into digestible chunks, facilitating better understanding and retention among students. Furthermore, Physics Wallah goes beyond providing mere solutions; it encourages critical thinking by integrating real-life applications of mathematical principles into its lessons. This enhances conceptual understanding and fosters an appreciation for the subject's practical relevance in daily life scenarios.
• Additionally, Physics Wallah boasts user-friendly navigation features that make browsing through different topics effortless for students. Its responsive design ensures easy accessibility across various devices so that learning can occur anytime and anywhere without constraints or limitations.
• With its extensive collection of accurate NCERT solutions presented engagingly, interactive video tutorials, and user-friendly interface, Physics Wallah undoubtedly stands out as one of the best platforms available for Class 9 Maths education seekers.

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NCERT Solutions For Class 9 Maths FAQs

Q1. What is the fastest and most efficient way to learn the Class 9 Maths chapters?

Ans. It is best to solve the NCERT Textbook to learn about the chapters in Class 9 Maths. For students to understand the steps to follow while solving complex problems, solved examples are presented before exercise questions.

Q2. Can I get answers to the questions from NCERT Class 9 Maths chapters?

Ans. Yes, you can get solved answers for the questions from the NCERT Class 9 Maths chapters. PhysicsWallah set of highly experienced faculty designs the solutions with the utmost care, considering the IQ levels of Class 9 students. Both chapter-wise and exercise-wise solutions are available online and offline and can be accessed absolutely free of charge.

Q3. Do I need to solve questions from the NCERT Solutions for Class 9 Math daily?

Ans. The NCERT Solutions for Class 9 Maths is highly recommended for students to practice Mathematics daily, since it is a subject that requires regular practice. It also allows students to gain a solid grasp of the fundamental concepts that will be continued in higher levels of education, giving them great confidence in facing exams and answering difficult questions effortlessly.

Q4. What is the process for downloading the NCERT Solutions for Class 9 Maths at PhysicsWallah?

Ans. In order to get free access to NCERT Solutions for Class 9 Maths, students are advised to provide certain details about themselves. PhysicsWallah offers chapter-by-chapter solutions that students can use based on their needs. In this way, students will be able to download and use solutions without time limitations. Links to exercise-based solutions are also available to help them learn a lot in a short period of time.