# Chapter Wise NCERT Class 9 Maths Solutions ## Mathematics Class 9

Author: NCERT
Publisher: NCERT
Language: English

Shaalaa provides solutions for NCERT Class 9 and has all the answers for the questions given in Mathematics Class 9. Shaalaa is surely a site that most of your classmates are using to perform well in exams.

You can solve Mathematics Class 9 textbook questions and use Shaalaa NCERT Solutions for Class 9 Maths to verify your answers.

## Chapters covered in NCERT Solutions for Class 9 Maths

### NCERT Class 9 Mathematics (9th) Chapter 1: Number Systems solutions

Concepts covered in Number Systems are Concept of Irrational Numbers, Introduction of Real Number, Laws of Exponents for Real Numbers, Operations on Real Numbers, Real Numbers and Their Decimal Expansions, Representing Real Numbers on the Number Line

#### NCERT Class 9 Mathematics (9th) Chapter 1: Number Systems exercises

ExerciseNo. of questionsPages
Exercise 1.165
Exercise 1.258
Exercise 1.32014
Exercise 1.4218
Exercise 1.51524
Exercise 1.61126

### NCERT Class 9 Mathematics (9th) Chapter 2: Polynomials solutions

Concepts covered in Polynomials are Algebraic Identities, Concept of Polynomials, Factorisation of Polynomials, Factorising the Quadratic Polynomial (Trinomial) of the type ax2 + bx + c, a ≠ 0., Polynomials in One Variable, Remainder Theorem, Zeroes of a Polynomial

#### NCERT Class 9 Mathematics (9th) Chapter 2: Polynomials exercises

ExerciseNo. of questionsPages
Exercise 2.12032
Exercise 21.00132
Exercise 2.22234 to 35
Exercise 2.3740
Exercise 2.41943 to 44
Exercise 2.54448 to 50

### NCERT Class 9 Mathematics (9th) Chapter 3: Coordinate Geometry solutions

Concepts covered in Coordinate Geometry are Cartesian System, Coordinate Geometry, Plotting a Point in the Plane If Its Coordinates Are Given.

#### NCERT Class 9 Mathematics (9th) Chapter 3: Coordinate Geometry exercises

ExerciseNo. of questionsPages
Exercise 3.1253
Exercise 3.21160
Exercise 3.3265

### NCERT Class 9 Mathematics (9th) Chapter 4: Linear Equations in two Variables solutions

Concepts covered in Linear Equations in two Variables are Equations of Lines Parallel to the X-axis and Y-axis, Graph of a Linear Equation in Two Variables, Linear Equation in One Variable, Linear Equations in Two Variables, Solution of a Linear Equation

#### NCERT Class 9 Mathematics (9th) Chapter 4: Linear Equations in two Variables exercises

ExerciseNo. of questionsPages
Exercise 4.1868
Exercise 4.21070
Exercise 4.31174
Exercise 4.4477

### NCERT Class 9 Mathematics (9th) Chapter 5: Introduction to Euclid's Geometry solutions

Concepts covered in Introduction to Euclid's Geometry are Concept for Euclid’S Geometry, Equivalent Versions of Euclid’S Fifth Postulate, Euclid’S Definitions, Axioms and Postulates

#### NCERT Class 9 Mathematics (9th) Chapter 5: Introduction to Euclid's Geometry exercises

ExerciseNo. of questionsPages
Exercise 5.11585 to 86
Exercise 5.2288

### NCERT Class 9 Mathematics (9th) Chapter 6: Lines and Angles solutions

Concepts covered in Lines and Angles are Angle Sum Property of a Triangle, Basic Terms and Definitions, Concept of Parallel Lines, Intersecting Lines and Non-intersecting Lines, Introduction to Lines and Angles, Lines Parallel to the Same Line, Pairs of Angles, Parallel Lines and a Transversal

#### NCERT Class 9 Mathematics (9th) Chapter 6: Lines and Angles exercises

ExerciseNo. of questionsPages
Exercise 6.1696 to 97
Exercise 6.26103 to 105
Exercise 6.36107 to 108

### NCERT Class 9 Mathematics (9th) Chapter 7: Triangles solutions

Concepts covered in Triangles are Concept of Triangles - Sides, Angles, Vertices, Interior and Exterior of Triangle, Congruence of Triangles, Criteria for Congruence of Triangles, Inequalities in a Triangle, Properties of a Triangle, Some More Criteria for Congruence of Triangles

#### NCERT Class 9 Mathematics (9th) Chapter 7: Triangles exercises

ExerciseNo. of questionsPages
Exercise 7.18118 to 120
Exercise 7.28123 to 124
Exercise 7.35128
Exercise 7.46132 to 133
Exercise 7.54133

### NCERT Class 9 Mathematics (9th) Chapter 8: Quadrilaterals solutions

Concepts covered in Quadrilaterals are Angle Sum Property of a Quadrilateral, Another Condition for a Quadrilateral to Be a Parallelogram, Concept of Quadrilaterals - Sides, Adjacent Sides, Opposite Sides, Angle, Adjacent Angles and Opposite Angles, Property: The diagonals of a parallelogram bisect each other. (at the point of their intersection), Property: The Opposite Angles of a Parallelogram Are of Equal Measure., Property: The Opposite Sides of a Parallelogram Are of Equal Length., The Mid-point Theorem, Theorem: A Diagonal of a Parallelogram Divides It into Two Congruent Triangles., Theorem : If Each Pair of Opposite Sides of a Quadrilateral is Equal, Then It is a Parallelogram., Theorem: If in a Quadrilateral, Each Pair of Opposite Angles is Equal, Then It is a Parallelogram., Theorem : If the Diagonals of a Quadrilateral Bisect Each Other, Then It is a Parallelogram, Types of Quadrilaterals

#### NCERT Class 9 Mathematics (9th) Chapter 8: Quadrilaterals exercises

ExerciseNo. of questionsPages
Exercise 8.112146 to 147
Exercise 8.27150 to 151

### NCERT Class 9 Mathematics (9th) Chapter 9: Areas of Parallelograms and Triangles solutions

Concepts covered in Areas of Parallelograms and Triangles are Concept of Area, Corollary: A rectangle and a parallelogram on the same base and between the same parallels are equal in area., Corollary: Triangles on the same base and between the same parallels are equal in area., Theorem: Parallelograms on the Same Base and Between the Same Parallels.

#### NCERT Class 9 Mathematics (9th) Chapter 9: Areas of Parallelograms and Triangles exercises

ExerciseNo. of questionsPages
Exercise 9.11155
Exercise 9.26159
Exercise 9.316162 to 164
Exercise 9.48164 to 166

### NCERT Class 9 Mathematics (9th) Chapter 10: Circles solutions

Concepts covered in Circles are Angle Subtended by a Chord at a Point, Angle Subtended by an Arc of a Circle, Circles Passing Through One, Two, Three Points, Concept of Circle - Centre, Radius, Diameter, Arc, Sector, Chord, Segment, Semicircle, Circumference, Interior and Exterior, Concentric Circles, Cyclic Quadrilateral, Equal Chords and Their Distances from the Centre, Perpendicular from the Centre to a Chord

#### NCERT Class 9 Mathematics (9th) Chapter 10: Circles exercises

ExerciseNo. of questionsPages
Exercise 10.112171
Exercise 10.22173
Exercise 10.33176
Exercise 10.46179
Exercise 10.512184 to 186
Exercise 10.610186 to 187

### NCERT Class 9 Mathematics (9th) Chapter 11: Constructions solutions

Concepts covered in Constructions are Basic Constructions, Introduction of Constructions, Some Constructions of Triangles

#### NCERT Class 9 Mathematics (9th) Chapter 11: Constructions exercises

ExerciseNo. of questionsPages
Exercise 11.19191
Exercise 11.25195

### NCERT Class 9 Mathematics (9th) Chapter 12: Heron's Formula solutions

Concepts covered in Heron's Formula are Application of Heron’s Formula in Finding Areas of Quadrilaterals, Area of a Triangle, Area of a Triangle by Heron's Formula

#### NCERT Class 9 Mathematics (9th) Chapter 12: Heron's Formula exercises

ExerciseNo. of questionsPages
Exercise 12.16202 to 203
Exercise 12.29206 to 207

### NCERT Class 9 Mathematics (9th) Chapter 13: Surface Area and Volumes solutions

Concepts covered in Surface Area and Volumes are Surface Area of a Cube, Surface Area of a Cuboid, Surface Area of a Right Circular Cone, Surface Area of a Sphere, Surface Area of Cylinder, Volume of a Cuboid, Volume of a Cylinder, Volume of a Right Circular Cone, Volume of a Sphere

#### NCERT Class 9 Mathematics (9th) Chapter 13: Surface Area and Volumes exercises

ExerciseNo. of questionsPages
Exercise 13.19213
Exercise 13.212216 to 217
Exercise 13.38221
Exercise 13.413225
Exercise 13.59228
Exercise 13.68230 to 231
Exercise 13.711233
Exercise 13.812236
Exercise 13.93236 to 237

### NCERT Class 9 Mathematics (9th) Chapter 14: Statistics solutions

Concepts covered in Statistics are Collecting Data, Concepts of Statistics, Graphical Representation of Data, Measures of Central Tendency, Presentation of Data

#### NCERT Class 9 Mathematics (9th) Chapter 14: Statistics exercises

ExerciseNo. of questionsPages
Exercise 14.13239 to 245
Exercise 14.28245 to 246
Exercise 14.39258 to 261
Exercise 14.46269

### NCERT Class 9 Mathematics (9th) Chapter 15: Probability solutions

Concepts covered in Probability are Probability - an Experimental Approach

#### NCERT Class 9 Mathematics (9th) Chapter 15: Probability exercises

ExerciseNo. of questionsPages
Exercise 15.111284 to 285

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