# NCERT Exemplar Class 9 Maths Solutions

NCERT Exemplar Class 9 Maths Solutions will give you a thorough understanding of Maths concepts as per the CBSE exam pattern. NCERT Class 9 Maths Exemplar book has 14 chapters on topics like Rational Numbers, Coordinate Geometry, Triangles, Heron’s formula, Statistics, and Probability. Each chapter has more than 60 practice questions. NCERT Exemplar Solutions for all the problems are from basic to advanced levels so that you can revise the chapters thoroughly.

The NCERT Exemplar book provides you with different types of practice questions such as MCQs, fill in the blanks, state true-false, word problems, diagram-based and graph-based questions. CBSE Class 9 Maths syllabus includes several formulas and complex theorems that might confuse you at times. Practicing NCERT Exemplar Class 9 Maths problems will help you solve all your doubts at one go and at the same time will prepare you for CBSE exams.

Our team of subject matter experts have made dedicated efforts to provide you with stepwise solutions to all the chapters of NCERT Exemplar problems of Class 9 Maths. We follow the latest CBSE guidelines and have given proper reasoning with each solution. Given below is a list of chapters in the NCERT Class 9 Exemplar book whose solutions are prepared by our expert team.

## NCERT Exemplar Solutions for Class 9 Maths Problems

## NCERT Exemplar Class 9 Maths Solutions Chapter 1: Number System

The system that expresses the nature of natural numbers is called the number system. The different topics covered by chapter:

- Rational numbers and irrational numbers
- Finding rational numbers and between two given numbers.
- Finding irrational numbers between two given numbers
- Locating irrational numbers in a number line
- Operations performed on real numbers
- Laws of exponents for real numbers

**Number of Exemplar Problems: **4 exercises and 30 exemplar problems.

## NCERT Exemplar Class 9 Maths Solutions Chapter 2: Polynomials

Polynomials refer to an expression that contains different variables, literals, and coefficients and more than two operators is known as a polynomial. Different topics covered are:

- Finding the degree of polynomials
- Coefficients and zeros of polynomials
- Polynomials in one variable
- Remainder theorem for polynomials
- Algebraic Identities to factorize polynomials
- Division of one polynomial from another
- The factorization of polynomials using Factor theorem

**Number of Exemplar Problems:** 4 exercises and 35 exemplar problems.

## NCERT Exemplar Class 9 Maths Solutions Chapter 3: Coordinate Geometry

In this chapter, you will know how to construct different geometrical structures by making coordinates on a plane. The chapter covers different topics like:

- Cartesian system and coordinates of the points
- Horizontal axis and the vertical axis
- Plotting a point in XY plane, if its coordinates are given
- The intersection point of the axes, etc.

**Number of Exemplar Problems:** 4 exercises and 25 exemplar problems

## NCERT Exemplar Class 9 Maths Solutions Chapter 4: Linear Equations in Two Variables

The linear equation consists of two variables and is of the form ax + by + c = 0. The different topics are:

- Representation of linear equations in two variables, graphically
- Linear equations of lines parallel to x-axis and y-axis in a graph
- Problems based on linear equations in two variables
- Finding solutions of linear equations

**Number of Exemplar Problems:** 4 exercises and 35 exemplar problems

## NCERT Exemplar Class 9 Maths Solutions Chapter 5: Introduction to Euclid’s Geometry

Euclid has explained different sets of postulates and theorems necessary in the field of maths. Below are the topics covered by the chapter:

- Euclid’s Definitions for solids, lines, points, etc.
- Problems based on Euclid’s five postulates
- Some of Euclid’s axioms
- Two equivalent versions of Euclid’s fifth postulate

**Number of Exemplar Problems:** 4 exercises and 20 exemplar problems

## NCERT Exemplar Class 9 Maths Solutions Chapter 6: Lines and Angles

This chapter gives you a thorough information of topics like:

- Lines which are intersecting and non-intersecting
- Lines parallel to the same lines
- Linear pair of angles such as adjacent angles, vertically opposite angles, etc.
- Angle Sum Property of a Triangle
- Transversal intersecting Parallel lines forming angles such as exterior angles, consecutive interior angles.
- Basic terms like line-segment, collinear points, non-collinear points, right angle, straight angle, acute angle, reflex angle, complementary angles, etc.

**Number of Exemplar Problems:** 4 exercises and 32 exemplar problems

## NCERT Exemplar Class 9 Maths Solutions Chapter 7: Triangles

The chapter covers the below-mentioned topics:

- Congruent triangles
- Criteria or conditions for congruence of triangles
- Inequalities in a Triangle

**Number of Exemplar Problems:** 4 exercises and 40 exemplar problems

## NCERT Exemplar Class 9 Maths Solutions Chapter 8: Quadrilaterals

- Properties of parallelogram and condition for a quadrilateral to be a parallelogram
- Angle sum property of quadrilaterals and it’s proof
- Types of quadrilaterals such as Trapezium, Parallelogram, Square, Rectangle, Rhombus and Kite.
- Problems based on mid-point theorem

**Number of Exemplar Problems:** 4 exercises and 37 exemplar problems

## NCERT Exemplar Class 9 Maths Solutions Chapter 9: Areas of Parallelogram and Triangles

You will be able to find the areas of different triangles and parallelograms.

- Areas of triangles on the same base and between the same Parallels
- Areas of parallelograms, on the same base and between the same parallels
- Median of triangle dividing into two triangles

**Number of Exemplar Problems:** 4 exercises and 38 exemplar problems

## NCERT Exemplar Class 9 Maths Solutions Chapter 10: Circles

This chapter will help you to understand different concepts associated with circles that are mentioned below:

- Chords equidistant from the center of a circle
- Angle Subtended by an Arc of a Circle
- Circles and its related terms like arc, sector, chords, semicircle, segments, etc.
- The angle subtended by chords of a circle at a point and theorems based on it
- The perpendicular from the Centre to a Chord and theorems based on it
- Circle through Three Points and its related theorems

**Number of Exemplar Problems:** 4 exercises and 35 exemplar problems

## NCERT Exemplar Class 9 Maths Solutions Chapter 11: Construction

This chapter contains an explanation of constructions that are an essential part of geometry. The different topics covered are:

- Basic constructions such as bisector of a given angle, the perpendicular bisector of a given line segment and an angle at ray
- Constructions of figures using geometry box instruments such as scale, set-squares, dividers, compass, and protector.
- Construction of triangle with given base, angles, and the sides

**Number of Exemplar Problems:** 4 exercises and 20 exemplar problems

## NCERT Exemplar Class 9 Maths Solutions Chapter 12: Heron’s Formula

Heron’s formula helps you in evaluating the area of a triangle when you have all sides of a triangle.

- Area of a triangle by Heron’s formula
- Application of Heron’s Formula in finding areas of Quadrilaterals
- Area of a triangle based on its base and heights

**Number of Exemplar Problems:** 4 exercises and 25 exemplar problems

## NCERT Exemplar Class 9 Maths Solutions Chapter 13: Surface Areas and Volume

The different 3D figures have a surface area and volume that need to be identified. The chapter covered different topics:

- The surface area of a sphere
- Curved Surface Area and Total Surface Area of a Hemisphere
- Formulas for Surface Area(curved surface and total surface) of a Right Circular Cylinder
- Volumes of Cuboid, Cylinder, Right Circular Cone, Sphere, and Hemisphere.
- Curved surface area and total surface area of a cone
- Formulas for Surface Area of a Cuboid and a Cube

**Number of Exemplar Problems:** 4 exercises and 32 exemplar problems

## NCERT Exemplar Class 9 Maths Solutions Chapter 14: Statistics and Probability

This chapter will deal with pictorial representation of data and figure, on the other hand, probability deals with the different possible outcomes of an arrangement. The different topics covered in the chapter are:

- The basic approach to probability and problems based on them
- Collection and presentation of data in graphical form
- Measures of central tendency

**Number of Exemplar Problems:** 4 exercises and 50 exemplar problems

### Why Use NCERT Exemplar Class 9 Solution for Maths?

The NCERT Exemplar solutions are perfect in all ways as they provide you a summary of each chapter and thus make your study time easy.

The questions mentioned in the book are quite complex and you surely need the help of the best mentors to understand them.

Thus, Instasolv will prove to be your best companion while you are facing issues in finding the solutions.