# NCERT Solutions for Mathematics Class 10

## CBSE Class 10 Maths Solutions Guide

Shaalaa.com provides the CBSE Class 10 Maths Solutions Digest. Shaalaa is undoubtedly a site that most of your classmates are using to perform well in exams.

You can solve the Class 10 Maths Book Solutions CBSE textbook questions by using Shaalaa.com to verify your answers, which will help you practise better and become more confident.

## CBSE Class 10 Maths Textbook Solutions

Questions and answers for the Class 10 Maths Textbook are on this page. NCERT Solutions for Class 10 Maths Digest CBSE will help students understand the concepts better.

## NCERT Solutions for Class 10 Maths Chapterwise List | Class 10 Maths Digest

The answers to the NCERT books are the best study material for students. Listed below are the chapter-wise NCERT Maths Class 10 Solutions CBSE.

## Chapters covered in NCERT Solutions for Mathematics Class 10

### NCERT Solutions for Class 10 Mathematics (10th) Chapter 1: Real Numbers

Concepts covered in Real Numbers are Concept of Irrational Numbers, Euclid’s Division Lemma, Fundamental Theorem of Arithmetic, Fundamental Theorem of Arithmetic Motivating Through Examples, Introduction of Real Numbers, Proofs of Irrationality, Rational Numbers and Their Decimal Expansions, Real Numbers Examples and Solutions.

#### NCERT Class 10 Mathematics (10th) Chapter 1: Real Numbers exercises

ExerciseNo. of questionsPages
Exercise 1.177
Exercise 1.21511
Exercise 1.3514
Exercise 1.42317 to 18

### NCERT Solutions for Class 10 Mathematics (10th) Chapter 2: Polynomials

Concepts covered in Polynomials are Division Algorithm for Polynomials, Geometrical Meaning of the Zeroes of a Polynomial, Polynomials, Relationship Between Zeroes and Coefficients of a Polynomial.

#### NCERT Class 10 Mathematics (10th) Chapter 2: Polynomials exercises

ExerciseNo. of questionsPages
Exercise 2.1628
Exercise 2.21233
Exercise 2.31136
Exercise 2.4636 to 37

### NCERT Solutions for Class 10 Mathematics (10th) Chapter 3: Pair of Linear Equations in Two Variables

Concepts covered in Pair of Linear Equations in Two Variables are Algebraic Conditions for Number of Solutions, Consistency of Pair of Linear Equations, Cross - Multiplication Method, Elimination Method, Equations Reducible to a Pair of Linear Equations in Two Variables, Graphical Method of Solution of a Pair of Linear Equations, Inconsistency of Pair of Linear Equations, Linear Equation in Two Variables, Pair of Linear Equations in Two Variables, Relation Between Co-efficient, Simple Situational Problems, Substitution Method.

#### NCERT Class 10 Mathematics (10th) Chapter 3: Pair of Linear Equations in Two Variables exercises

ExerciseNo. of questionsPages
Exercise 3.1344
Exercise 3.21749 to 50
Exercise 3.31353 to 54
Exercise 3.4956 to 57
Exercise 3.51262 to 63
Exercise 3.61167
Exercise 3.71268

### NCERT Solutions for Class 10 Mathematics (10th) Chapter 4: Quadratic Equations

Concepts covered in Quadratic Equations are Application of Quadratic Equation, Nature of Roots of a Quadratic Equation, Quadratic Equations, Relationship Between Discriminant and Nature of Roots, Situational Problems Based on Quadratic Equations Related to Day to Day Activities to Be Incorporated, Solutions of Quadratic Equations by Completing the Square, Solutions of Quadratic Equations by Factorization.

#### NCERT Class 10 Mathematics (10th) Chapter 4: Quadratic Equations exercises

ExerciseNo. of questionsPages
Exercise 4.11273 to 74
Exercise 4.21176
Exercise 4.31887 to 88
Exercise 4.4891

### NCERT Solutions for Class 10 Mathematics (10th) Chapter 5: Arithmetic Progressions

Concepts covered in Arithmetic Progressions are Application in Solving Daily Life Problems, Arithmetic Progression, Arithmetic Progressions Examples and Solutions, Derivation of the n th Term, General Term of an Arithmetic Progression, nth Term of an AP, Sum of First ‘n’ Terms of an Arithmetic Progressions.

#### NCERT Class 10 Mathematics (10th) Chapter 5: Arithmetic Progressions exercises

ExerciseNo. of questionsPages
Exercise 5.12899 to 100
Exercise 5.230105 to 107
Exercise 5.335112 to 114
Exercise 5.45115

### NCERT Solutions for Class 10 Mathematics (10th) Chapter 6: Triangles

Concepts covered in Triangles are Angle Bisector, Application of Pythagoras Theorem in Acute Angle and Obtuse Angle, Areas of Similar Triangles, Basic Proportionality Theorem (Thales Theorem), Criteria for Similarity of Triangles, Ratio of Sides of Triangle, Right-angled Triangles and Pythagoras Property, Similar Figures, Similarity of Triangles, Triangles Examples and Solutions.

#### NCERT Class 10 Mathematics (10th) Chapter 6: Triangles exercises

ExerciseNo. of questionsPages
Exercise 6.17122
Exercise 6.213128 to 129
Exercise 6.324138 to 141
Exercise 6.49143 to 144
Exercise 6.522150 to 151
Exercise 6.610152 to 153

### NCERT Solutions for Class 10 Mathematics (10th) Chapter 7: Coordinate Geometry

Concepts covered in Coordinate Geometry are Area of a Triangle, Basic Geometric Constructions, Coordinate Geometry, Distance Formula, Graphs of Linear Equations, Section Formula.

#### NCERT Class 10 Mathematics (10th) Chapter 7: Coordinate Geometry exercises

ExerciseNo. of questionsPages
Exercise 7.114161 to 162
Exercise 7.210167
Exercise 7.37170
Exercise 7.48171 to 172

### NCERT Solutions for Class 10 Mathematics (10th) Chapter 8: Introduction to Trigonometry

Concepts covered in Introduction to Trigonometry are Proof of Existence, Relationships Between the Ratios, Trigonometric Identities, Trigonometric Ratios, Trigonometric Ratios and Its Reciprocal, Trigonometric Ratios of Complementary Angles, Trigonometric Ratios of Some Special Angles, Trigonometry.

#### NCERT Class 10 Mathematics (10th) Chapter 8: Introduction to Trigonometry exercises

ExerciseNo. of questionsPages
Exercise 8.117181
Exercise 8.215187
Exercise 8.311189 to 190
Exercise 8.418193 to 194

### NCERT Solutions for Class 10 Mathematics (10th) Chapter 9: Some Applications of Trigonometry

Concepts covered in Some Applications of Trigonometry are Heights and Distances.

#### NCERT Class 10 Mathematics (10th) Chapter 9: Some Applications of Trigonometry exercises

ExerciseNo. of questionsPages
Exercise 9.116203 to 205

### NCERT Solutions for Class 10 Mathematics (10th) Chapter 10: Circles

Concepts covered in Circles are Concept of Circle - Centre, Radius, Diameter, Arc, Sector, Chord, Segment, Semicircle, Circumference, Interior and Exterior, Concentric Circles, Number of Tangents from a Point on a Circle, Tangent to a Circle.

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

ExerciseNo. of questionsPages
Exercise 10.17209
Exercise 10.213213 to 214

### NCERT Solutions for Class 10 Mathematics (10th) Chapter 11: Constructions

Concepts covered in Constructions are Construction of Tangents to a Circle, Constructions Examples and Solutions, Division of a Line Segment.

#### NCERT Class 10 Mathematics (10th) Chapter 11: Constructions exercises

ExerciseNo. of questionsPages
Exercise 11.17219 to 220
Exercise 11.27221 to 222

### NCERT Solutions for Class 10 Mathematics (10th) Chapter 12: Areas Related to Circles

Concepts covered in Areas Related to Circles are Area of Circle, Areas of Combinations of Plane Figures, Areas of Sector and Segment of a Circle, Circumference of a Circle, Perimeter and Area of a Circle - A Review.

#### NCERT Class 10 Mathematics (10th) Chapter 12: Areas Related to Circles exercises

ExerciseNo. of questionsPages
Exercise 12.15225 to 226
Exercise 12.214230 to 231
Exercise 12.316234 to 238

### NCERT Solutions for Class 10 Mathematics (10th) Chapter 13: Surface Areas and Volumes

Concepts covered in Surface Areas and Volumes are Concept of Surface Area, Volume, and Capacity, Conversion of Solid from One Shape to Another, Frustum of a Cone, Surface Area and Volume of Different Combination of Solid Figures, Surface Area and Volume of Three Dimensional Figures, Surface Area of a Combination of Solids, Volume of a Combination of Solids.

#### NCERT Class 10 Mathematics (10th) Chapter 13: Surface Areas and Volumes exercises

ExerciseNo. of questionsPages
Exercise 13.19244 to 245
Exercise 13.28247 to 248
Exercise 13.39251 to 252
Exercise 13.45257
Exercise 13.57258

### NCERT Solutions for Class 10 Mathematics (10th) Chapter 14: Statistics

Concepts covered in Statistics are Concepts of Statistics, Graphical Representation of Cumulative Frequency Distribution, Mean of Grouped Data, Median of Grouped Data, Mode of Grouped Data, Ogives (Cumulative Frequency Graphs).

#### NCERT Class 10 Mathematics (10th) Chapter 14: Statistics exercises

ExerciseNo. of questionsPages
Exercise 14.19270 to 272
Exercise 14.26275 to 276
Exercise 14.37287 to 289
Exercise 14.43293

### NCERT Solutions for Class 10 Mathematics (10th) Chapter 15: Probability

Concepts covered in Probability are Basic Ideas of Probability, Concept Or Properties of Probability, Probability - A Theoretical Approach, Sample Space, Simple Problems on Single Events.

#### NCERT Class 10 Mathematics (10th) Chapter 15: Probability exercises

ExerciseNo. of questionsPages
Exercise 15.147308 to 311
Exercise 15.25311 to 312

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## NCERT Solutions for Mathematics Class 10

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