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CBSE Class 10 NCERT Solutions Maths PDF Download

Table of contents
Class 10 NCERT Solutions of Maths for All Chapters
NCERT Solutions for Class 10 Maths Chapter 1 - Real Numbers
NCERT Solutions for Class 10 Maths Chapter 2 - Polynomials
NCERT Solutions of Class 10 Maths Chapter 3 - Pair of Linear Equations in Two Variables
NCERT Solutions of Class 10 Maths Chapter 4 - Quadratic Equations
NCERT Solutions for Class 10 Maths Chapter 5 - Arithmetic Progressions
NCERT Solutions for Class 10 Maths Chapter 6 - Triangles
NCERT Solutions for Class 10 Maths Chapter 7 - Coordinate Geometry
NCERT Solutions for Class 10 Maths Chapter 8 - Introduction to Trigonometry
NCERT Solutions for Class 10 Maths Chapter 9 - Some Applications of Trigonometry
NCERT Solutions for Class 10 Maths Chapter 10 - Circles
NCERT Solutions for Class 10 Maths Chapter 11 - Constructions
NCERT Solutions for Class 10 Maths Chapter 12 - Areas Related to Circles
NCERT Solutions for Class 10 Maths Chapter 13 - Surface Areas and Volumes
NCERT Solutions for Class 10 Maths Chapter 14 - Statistics
NCERT Solutions for Class 10 Maths Chapter 15 - Probability
How NCERT Solutions for Class 10 Maths are Helpful While Preparing for the Exam?
Features of NCERT Class 10 Maths Solutions
Other NCERT Resources for Class 10 Maths
Frequently Asked Questions (FAQs) on NCERT Solutions for Class 10 Maths

NCERT is the most important book for Class 10 students as the majority of questions come from it in the exam. Toppers also recommend NCERT as the go-to textbook for Class 10. According to toppers, all the questions of NCERT must be solved.

CBSE Class 10 NCERT Solutions Maths


Class 10 NCERT Solutions of Maths for All Chapters

EduRev provides solutions to all the chapters of Mathematics at one place. These solutions are great for the preparation of exams. The solutions are always updated to the latest edition of the book and contain all the answers to every single question in the textbook.

In the table given below links are provided to NCERT solutions to all the chapters of Mathematics.

NCERT Solutions Class 10 Mathematics All Chapters

Chapter 1 - Real Numbers

Chapter 2 - Polynomials

Chapter 3 - Pair of Linear Equations in Two Variables

Chapter 4 - Quadratic Equations

Chapter 5 - Arithmetic Progressions

Chapter 6 - Triangles

Chapter 7 - Coordinate Geometry

Chapter 8 - Introduction to Trigonometry

Chapter 9 - Some Applications of Trigonometry

Chapter 10 - Circles

Chapter 11 - Constructions

Chapter 12 - Areas Related to Circles

Chapter 13 - Surface Areas and Volumes

Chapter 14 - Statistics

Chapter 15 - Probability



NCERT Solutions for Class 10 Maths Chapter 1 - Real Numbers

In the first chapter of Class 10, students will learn about the different types of numbers, including real numbers and irrational numbers. The chapter starts by introducing the Euclid’s Division Lemma, which states “Given positive integers a and b, there exist unique integers q and r satisfying a = bq + r, 0≤r<b”. The Euclid’s Division algorithm, which is used to find the highest common factor (HCF) of two positive integers, is based on this lemma. The chapter then defines the Fundamental Theorem of Arithmetic, which is used to determine both the HCF and least common multiple (LCM) of two positive integers. Finally, the concept of irrational numbers, rational numbers, and the decimal representation of rational numbers is explained through the use of this theorem.

Class 10 Maths NCERT Solutions Chapter 1 Exercises

NCERT Solutions Real Numbers Class 10 Exercise 1.1 – 5 Questions (4 Long Answers, 1 Short Answer)

NCERT Solutions Real Numbers Class 10 Exercise 1.2 – 7 Questions (4 Long Answers, 3 Short Answers)

NCERT Solutions Real Numbers Class 10 Exercise 1.3 – 3 Questions (3 Short Answers)

NCERT Solutions Real Numbers Class 10 Exercise 1.4 – 3 Questions (3 Short Answers)

Topics Covered in Class 10 Maths Chapter 1 Real Numbers :

Fundamental Theorem of Arithmetic – statements after reviewing work done earlier and after illustrating and motivating through examples, Proofs of irrationality of √2, √3, √5

Also access the following resources for Class 10 Chapter 1 Real Numbers at EduRev:

CBSE Maths Notes for Class 10 Chapter 1 - Real Numbers

NCERT Summaries for Class 10 Chapter 1 - Real Numbers

RD Sharma Solutions Real Numbers Class 10


NCERT Solutions for Class 10 Maths Chapter 2 - Polynomials

The Polynomials chapter starts with the definition of various types of polynomials, such as linear, quadratic, and cubic polynomials, based on their degree. The chapter consists of four exercises, including an optional one. The first exercise, 2.1, focuses on identifying the number of zeros of a polynomial through a graph and requires understanding of the geometric representation of the zeros. Exercise 2.2 deals with the relationship between the zeros and coefficients of a polynomial, where students have to determine the zeros of a quadratic polynomial and, in some cases, the quadratic polynomial itself. Exercise 2.3 covers the division algorithm, and students will solve problems related to it. The optional exercise, 2.4, encompasses questions from all the concepts discussed in Chapter 2.

Class 10 Maths NCERT Solutions Chapter 2 Exercises

NCERT Solutions Polynomials Class 10 Exercise 2.1 – 1 Question (1 Short Answer)

NCERT Solutions Polynomials Class 10 Exercise 2.2 – 2 Questions (2 Short Answers)

NCERT Solutions Polynomials Class 10 Exercise 2.3 – 5 Questions (2 Short Answers, 3 Long Answers)

NCERT Solutions Polynomials Class 10 Exercise 2.4 – 5 Questions (2 Short Answers, 3 Long Answers)

Topics Covered in Class 10 Maths Chapter 2 Polynomials :

Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials.

Also access the following resources for Class 10 Chapter 2 Polynomials at EduRev:

CBSE Maths Notes for Class 10 Chapter 2 - Polynomials

NCERT Summaries for Class 10 Chapter 2 - Polynomials

RD Sharma Solutions Polynomials Class 10


NCERT Solutions of Class 10 Maths Chapter 3 - Pair of Linear Equations in Two Variables

The chapter covers the topic of Pair of Linear Equations in Two Variables, and includes seven exercises that teach various methods of solving such equations. Exercise 3.1 teaches how to express situations algebraically and graphically. Exercise 3.2 demonstrates how to solve the pair of linear equations through the Graphical Method. The Algebraic Method, Elimination Method, Cross-Multiplication Method, and Substitution Method are each described in exercises 3.3, 3.4, 3.5 and 3.6, respectively. The optional exercise 3.7 encompasses all types of questions related to solving linear equations. To master the different methods, students are advised to practice the exercises provided.

Class 10 Maths NCERT Solutions Chapter 3 Exercises

NCERT Solutions Pair of Linear Equations in Two Variables Class 10 Maths Exercise 3.1 – 3 Questions (2 Short Answers, 1 Long Answer)

NCERT Solutions Pair of Linear Equations in Two Variables Class 10 Maths Exercise 3.2 – 7 Questions (5 Short Answers, 2 Long Answers)

NCERT Solutions Pair of Linear Equations in Two Variables Class 10 Maths Exercise 3.3 – 3 Questions (2 Short Answers, 1 Long Answer)

NCERT Solutions Pair of Linear Equations in Two Variables Class 10 Maths Exercise 3.4 – 2 Questions (2 Long Answers)

NCERT Solutions Pair of Linear Equations in Two Variables Class 10 Maths Exercise 3.5 – 4 Questions (4 Short Answers)

NCERT Solutions Pair of Linear Equations in Two Variables Class 10 Maths Exercise 3.6 – 2 Questions (2 Long Answers)

NCERT Solutions Pair of Linear Equations in Two Variables Class 10 Maths Exercise 3.7 – 8 Questions (1 Short Answer, 7 Long Answers)


Topics Covered in Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables:

Pair of linear equations in two variables and graphical method of their solution, consistency/inconsistency. Algebraic conditions for number of solutions. Solution of a pair of linear equations in two variables algebraically – by substitution, by elimination. Simple situational problems.

Also access the following resources for Class 10 Chapter 3 Pair of Linear Equations in Two Variables at EduRev:

CBSE Maths Notes for Class 10 Chapter 3 - Pair of Linear Equations in Two Variables

NCERT Summaries for Class 10 Chapter 3 - Pair of Linear Equations in Two Variables

RD Sharma Solutions Pair of Linear Equations in Two Variables Class 10


NCERT Solutions of Class 10 Maths Chapter 4 - Quadratic Equations

In this chapter, students will get to know the standard form of writing a Quadratic Equation. The chapter goes on to explain the method of solving the quadratic equation through the factorization method and completing the square method. The chapter ends with the topic on finding the nature of roots.

Class 10 Maths NCERT Solutions Chapter 4 Exercises

NCERT Solutions Maths Quadratic Equations Class 10 Exercise 4.1 – 2 Questions (1 Short Answer, 1 Long Answer)

NCERT Solutions Maths Quadratic Equations Class 10 Exercise 4.2 – 6 Questions (6 Short Answers)

NCERT Solutions Maths Quadratic Equations Class 10 Exercise 4.3 – 11 Questions (8 Short Answers, 3 Long Answers)

NCERT Solutions Maths Quadratic Equations Class 10 Exercise 4.4 – 5 Questions (2 Short Answers, 3 Long Answers)

Topics Covered in Class 10 Maths Chapter 4 Quadratic Equations :

The standard form of a quadratic equation ax2 + bx + c = 0, (a ≠ 0). Solutions of quadratic equations (only real roots) by factorization and by using the quadratic formula. Relationship between discriminant and nature of roots. Situational problems based on quadratic equations related to day-to-day activities are to be incorporated.

Also access the following resources for Class 10 Chapter 4 Quadratic Equations at EduRev:

CBSE Maths Notes for Class 10 Chapter 4 - Quadratic Equations

NCERT Summaries for Class 10 Chapter 4 - Quadratic Equations

RD Sharma Solutions Quadratic Equations Class 10


NCERT Solutions for Class 10 Maths Chapter 5 - Arithmetic Progressions

The chapter introduces students to the topic of Arithmetic Progression (AP), and it has four exercises in total. Exercise 5.1 focuses on representing a situation as APs, determining the first term and common difference, and identifying if a series is an AP. Exercise 5.2 deals with finding the nth term of an AP. Exercise 5.3 involves finding the sum of the first n terms of an AP. The final exercise features more advanced questions based on AP to challenge students' problem-solving and analytical skills.

Class 10 Maths NCERT Solutions Chapter 5 Exercises

NCERT Solutions Class 10 Maths Arithmetic Progressions Exercise 5.1 – 4 questions (1 Short Answer, 3 Long Answers)

NCERT Solutions Class 10 Maths Arithmetic Progressions Exercise 5.2 – 20 questions (10 Short Answers, 10 Long Answers)

NCERT Solutions Class 10 Maths Arithmetic Progressions Exercise 5.3 – 20 Questions (7 Short Answers, 13 Long Answers)

NCERT Solutions Class 10 Maths Arithmetic Progressions Exercise 5.4 – 5 Questions (5 Long Answers)

Topics Covered in Class 10 Maths Chapter 5 Arithmetic Progressions :

Motivation for studying Arithmetic Progression Derivation of the nth term and sum of the first n terms of A.P. and their application in solving daily life problems.

Also access the following resources for Class 10 Chapter 5 Arithmetic Progressions at EduRev:

CBSE Maths Notes for Class 10 Chapter 5 - Arithmetic Progressions

NCERT Summaries for Class 10 Chapter 5 - Arithmetic Progressions

RD Sharma Solutions Arithmetic Progressions Class 10

NCERT Solutions for Class 10 Maths Chapter 6 - Triangles

Chapter 6 in Class 10 CBSE Maths covers the topic of Triangles, which are figures with the same shape but not necessarily the same size. The chapter starts with the definitions of similar and congruent figures, and goes on to explain the conditions for the similarity of two triangles and theorems associated with it. It also covers the topic of the areas of similar triangles, and concludes with an explanation of the Pythagoras Theorem and its converse.

Class 10 Maths NCERT Solutions PDF Chapter 6 Exercises

Triangles Class 10 Exercise 6.1 – 3 Questions (3 Short Answers)

Triangles Class 10 Exercise 6.2 – 10 Questions (9 Short Answers, 1 Long Answer)

Triangles Class 10 Exercise 6.3 – 16 Questions (12 Short Answers, 4 Long Answers)

Triangles Class 10 Exercise 6.4 – 9 Questions (7 Short Answers, 2 Long Answers)

Triangles Class 10 Exercise 6.5 – 17 Questions (15 Short Answers, 2 Long Answers)

Triangles Class 10 Exercise 6.6 – 10 Questions (5 Short Answers, 5 Long Answers)

Topics Covered in Class 10 Maths Chapter 6 Triangles :

Definitions, examples, and counter examples of similar triangles.

1. (Prove) If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.

2. (Motivate) If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side.

3. (Motivate) If in two triangles, the corresponding angles are equal, their corresponding sides are proportional, and the triangles are similar.

4. (Motivate) If the corresponding sides of two triangles are proportional, their corresponding angles are equal, and the two triangles are similar.

5. (Motivate) 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.

Important Theorems –

Theorem 6.1: If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.

Theorem 6.2: If a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side.

Theorem 6.3: If in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion), and hence the two triangles are similar.

Theorem 6.4: If in two triangles, the sides of one triangle are proportional to (i.e., in the same ratio of ) the sides of the other triangle, then their corresponding angles are equal, and hence the two triangles are similar.

Theorem 6.5: If one angle of a triangle is equal to one angle of the other triangle and the sides, including these angles, are proportional, then the two triangles are similar.

Theorem 6.6: The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.

Theorem 6.7: If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse, then triangles on both sides of the perpendicular are similar to the whole triangle and to each other.

Theorem 6.8: In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Theorem 6.9: In a triangle, if the square of one side is equal to the sum of the squares of the other two sides, then the angle opposite the first side is a right angle.

Also access the following resources for Class 10 Chapter 6 Triangles at EduRev:

CBSE Maths Notes for Class 10 Chapter 6 - Triangles

NCERT Summaries for Class 10 Chapter 6 - Triangles

RD Sharma Solutions Triangles Class 10


NCERT Solutions for Class 10 Maths Chapter 7 - Coordinate Geometry

In this chapter of Coordinate Geometry, students will become familiar with finding the distance between two points based on their coordinates, calculating the area of a triangle formed by three points, and locating the coordinates of a point that divides a line segment in a specified ratio. The chapter will introduce the Distance Formula, Section Formula, and the formula for the Area of a Triangle.

Class 10 Maths NCERT Solutions Chapter 7 Exercises

Coordinate Geometry Class 10 Exercise 7.1 – 10 Questions (3 Short Answers, 7 Long Answers)

Coordinate Geometry Class 10 Exercise 7.2 – 10 Questions (2 Short Answers, 8 Long Answers)

Coordinate Geometry Class 10 Exercise 7.3 – 5 Questions (2 Short Answers, 3 Long Answers)

Coordinate Geometry Class 10 Exercise 7.4 – 8 Questions (3 Short Answers, 5 Long Answers)

Topics Covered in Class 10 Maths Chapter 7 Coordinate Geometry :

Review: Concepts of coordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division).

Also access the following resources for Class 10 Chapter 7 Coordinate Geometry at EduRev:

CBSE Maths Notes for Class 10 Chapter 7 - Coordinate Geometry

NCERT Summaries for Class 10 Chapter 7 - Coordinate Geometry

RD Sharma Solutions Coordinate Geometry Class 10


NCERT Solutions for Class 10 Maths Chapter 8 - Introduction to Trigonometry

In this chapter, students will be introduced to the topic of Trigonometry. They will learn about the ratios of a right triangle in relation to its acute angles, known as the trigonometric ratios of the angles. The chapter will define the trigonometric ratios for angles of 0 and 90 degrees. Additionally, students will be able to compute trigonometric ratios for specific angles and recognize trigonometric identities that involve these ratios.

Class 10 Maths NCERT Solutions Chapter 8 Exercises

Introduction to Trigonometry Class 10 Exercise 8.1 – 11 Questions (8 Short Answers, 3 Long Answers)

☞Introduction to Trigonometry Class 10 Exercise 8.2 – 4 Questions (2 Short Answers, 2 Long Answers)

☞Introduction to Trigonometry Class 10 Exercise 8.3 – 7 Questions (5 Short Answers, 2 Long Answers)

☞Introduction to Trigonometry Class 10 Exercise 8.4 – 5 Questions (3 Short Answers, 2 Long Answers)

Topics Covered in Class 10 Maths Chapter 8 Introduction to Trigonometry :

Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well defined); motivate the ratios, whichever are defined at 0o and 90o. Values of the trigonometric ratios of 300, 450 and 600. Relationships between the ratios.

TRIGONOMETRIC IDENTITIES

Proof and applications of the identity sin2A + cos2A = 1. 

Also access the following resources for Class 10 Chapter 8 Introduction to Trigonometry at EduRev:

CBSE Maths Notes for Class 10 Chapter 8 - Introduction to Trigonometry

NCERT Summaries for Class 10 Chapter 8 - Introduction to Trigonometry

RD Sharma Solutions Introduction to Trigonometry Class 10


NCERT Solutions for Class 10 Maths Chapter 9 - Some Applications of Trigonometry

This chapter builds upon the previous one and focuses on the practical applications of Trigonometry. It is used in fields such as geography, navigation, cartography, and determining the location of an island in terms of longitudes and latitudes. Students will learn how Trigonometry can be used to determine the heights and distances of objects without physically measuring them. The chapter will introduce the concepts of line of sight, angle of elevation, and angle of depression.

Class 10 Maths NCERT Solutions Chapter 9 Exercise

Some Applications of Trigonometry Class 10 Exercise 9.1 – 16 Questions (16 Long Answers)

Topics Covered in Class 10 Maths Chapter 9 Some Applications of Trigonometry:

Heights And Distances – Angle of elevation, Angle of Depression.

Simple problems on heights and distances. Problems should not involve more than two right triangles. Angles of elevation/depression should be only 30°, 45°, and 60°.

Also access the following resources for Class 10 Chapter 9 Some Applications of Trigonometry at EduRev:

CBSE Maths Notes for Class 10 Chapter 9 - Some Applications of Trigonometry

NCERT Summaries for Class 10 Chapter 9 - Some Applications of Trigonometry

RD Sharma Solutions Some Applications of Trigonometry Class 10


NCERT Solutions for Class 10 Maths Chapter 10 - Circles

In previous classes, students were introduced to the topic of circles and related terms, such as chords, segments, arcs, etc. In this chapter, the focus will be on the various scenarios that arise when a circle and a line exist in the same plane. Students will become proficient in the concept of a Tangent to a Circle and the number of Tangents that can be drawn from a single point on the circle.

Class 10 Maths NCERT Solutions Chapter 10 Exercises

Circles Class 10 Exercise 10.1 – 4 Questions (2 Short Answer, 2 Long Answers)

Circles Class 10 Exercise 10.2 – 13 Questions (2 Short Answers, 14 Long Answers)

Topics Covered in Class 10 Maths Chapter 10 Circles:

Tangent to a circle at point of contact

1. (Prove) The tangent at any point of a circle is perpendicular to the radius through the point of contact.

2. (Prove) The lengths of tangents drawn from an external point to a circle are equal.

Important Theorems –

Theorem 10.1: The tangent at any point of a circle is perpendicular to the radius through the point of contact.

Theorem 10.2: The lengths of tangents drawn from an external point to a circle are equal.

Also access the following resources for Class 10 Chapter 10 Circles at EduRev:

CBSE Maths Notes for Class 10 Chapter 10 - Circles

NCERT Summaries for Class 10 Chapter 10 - Circles

RD Sharma Solutions Circles Class 10


NCERT Solutions for Class 10 Maths Chapter 11 - Constructions

This chapter contains two exercises to reinforce the students' learning. Prior knowledge of construction from previous classes will be useful. In Exercise 11.1, students will learn how to divide a line segment, and in Exercise 11.2, they will be studying the construction of tangents to a circle. The methods and steps for construction are clearly explained and illustrated with examples to make it easier for the students to understand.

Class 10 Maths NCERT Solutions PDF Chapter 11 Exercises

Constructions Class 10 Exercise 11.1 – 7 Questions (7 Long Answers)

Constructions Class 10 Exercise 11.2 – 7 Questions (7 Long Answers)

Topics Covered in Class 10 Maths Chapter 11 Constructions :

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.

Important Points –

Construction 11.1: To divide a line segment in a given ratio.

Construction 11.2: To construct a triangle similar to a given triangle as per the given scale factor.

Construction 11.3: To construct the tangents to a circle from a point outside it.

Also access the following resources for Class 10 Chapter 11 Constructions at EduRev:

CBSE Maths Notes for Class 10 Chapter 11 - Constructions

NCERT Summaries for Class 10 Chapter 11 - Constructions

RD Sharma Solutions Constructions Class 10


The chapter starts with the fundamentals of the perimeter and area of a circle. Building upon this knowledge, the chapter goes on to explain how to determine the area of a sector and segment of a circular region. Additionally, students will gain a clear understanding of finding the areas of various plane figures that involve circles or parts of circles.

Class 10 Maths NCERT Solutions Chapter 12 Exercises

Areas Related to Circles Class 10 Exercise 12.1 – 5 Questions (5 Short Answers)

Areas Related to Circles Class 10 Exercise 12.2 – 14 Questions (9 Short Answers, 5 Long Answers)

Areas Related to Circles Class 10 Exercise 12.3 – 16 Questions (9 Short Answers, 7 Long Answers)

Topics Covered in Class 10 Maths Chapter 12 Areas Related to Circles :

Area of sectors and segments of a circle. Problems based on areas and perimeter/circumference of the above-said plane figures. (In calculating the area of segment of a circle, problems should be restricted to the central angle of 60°, 90° and 120° only.

Important Formulas –

circumference = 2πr

area of the circle = πr 2

Area of the sector of angle θ = (θ/360) × π r2

Length of an arc of a sector of angle θ = (θ/360) × 2 π r where r is the radius of the circle

Also access the following resources for Class 10 Chapter 12 Areas Related to Circles at EduRev:

CBSE Maths Notes for Class 10 Chapter 12 - Areas Related to Circles

NCERT Summaries for Class 10 Chapter 12 - Areas Related to Circles

RD Sharma Solutions Areas Related to Circles Class 10


NCERT Solutions for Class 10 Maths Chapter 13 - Surface Areas and Volumes

Chapter 13 contains five exercises. Exercise 13.1 focuses on finding the surface area of objects that are formed by combining two of the basic solids: cuboid, cone, cylinder, sphere, and hemisphere. In exercise 13.2, the emphasis is on finding the volume of objects created by combining two of the aforementioned basic solids. Exercise 13.3 involves questions that involve converting a solid from one shape to another. The fourth exercise, 13.4, focuses on finding the volume, curved surface area, and total surface area of a frustum of a cone. The final exercise, which is optional, includes challenging questions that cover all the topics of this chapter.

Class 10 Maths NCERT Solutions Chapter 13 Exercises

Solutions of NCERT Maths Class 10 Surface Areas and Volumes Exercise 13.1 – 9 Questions (2 Short Answers, 7 Long Answers)

Solutions of NCERT Maths Class 10 Surface Areas and Volumes Exercise 13.2 – 8 Questions (1 Short Answer, 7 Long Answers)

Solutions of NCERT Maths Class 10 Surface Areas and Volumes Exercise 13.3 – 9 Questions (9 Long Answers)

Solutions of NCERT Maths Class 10 Surface Areas and Volumes Exercise 13.4 – 5 Questions (5 Long Answers)

Solutions of NCERT Maths Class 10 Surface Areas and Volumes Exercise 13.5 – 7 Questions (7 Long Answers)

Topics Covered in Class 10 Maths Chapter 13 Surface Areas and Volumes:

Surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones.

Important Formulas –

TSA of new solid = CSA of one hemisphere + CSA of cylinder + CSA of other hemisphere

Diameter of sphere = 2r

Surface area of sphere = 4 π r2

Volume of Sphere = 4/3 π r3

Curved surface area of Cylinder = 2 πrh

Area of two circular bases = 2 πr2

Total surface area of Cylinder = Circumference of Cylinder + Curved surface area of Cylinder = 2 πrh + 2 πr2

Volume of Cylinder = π r2 h

Slant height of cone = l = √(r2 + h2)

Curved surface area of cone = πrl

Total surface area of cone = πr (l + r)

Volume of cone = ⅓ π r2 h

Perimeter of cuboid = 4(l + b +h)

Length of the longest diagonal of a cuboid = √(l2 + b2 + h2)

Total surface area of cuboid = 2(l×b + b×h + l×h)

Volume of Cuboid = l × b × h

Also access the following resources for Class 10 Chapter 13 Surface Areas  at EduRev:

CBSE Maths Notes for Class 10 Chapter 12 - Areas Related to Circles

NCERT Summaries for Class 10 Chapter 12 - Areas Related to Circles

RD Sharma Solutions Areas Related to Circles Class 10


NCERT Solutions for Class 10 Maths Chapter 14 - Statistics

This chapter teaches students to convert ungrouped data into grouped data, and calculate the Mean, Mode and Median of the data. Students will also learn about cumulative frequency, cumulative frequency distribution and how to construct cumulative frequency curves. 

Class 10 Maths NCERT Solutions Chapter 14 Exercises

NCERT Solutions of Maths Class 10 Statistics Exercise 14.1 – 9 Questions (9 Long Answers)

NCERT Solutions of Maths Class 10 Statistics Exercise 14.2 – 6 Questions (6 Long Answers)

NCERT Solutions of Maths Class 10 Statistics Exercise 14.3 – 7 Questions (7 Long Answers)

NCERT Solutions of Maths Class 10 Statistics Exercise 14.4 – 3 Questions (3 Long Answers)

Topics Covered in Class 10 Maths Chapter 14 Statistics :

Mean, median and mode of grouped data (bimodal situation to be avoided).

Also access the following resources for Class 10 Chapter 14 Statistics  at EduRev:

CBSE Maths Notes for Class 10 Chapter 14 - Statistics

NCERT Summaries for Class 10 Chapter 14 - Statistics

RD Sharma Solutions Statistics Class 10


NCERT Solutions for Class 10 Maths Chapter 15 - Probability

The final chapter focuses on Probability. It starts by introducing the theoretical concept of probability and goes on to explain the distinction between experimental probability and theoretical probability. The chapter includes several examples to help students better understand the topic. Therefore, it is recommended that students complete the examples in CBSE Maths before attempting the exercise problems.

Class 10 Maths NCERT Solutions PDF Chapter 15 Exercises

NCERT Solutions of Maths Class 10 Probability Exercise 15.1 – 25 Questions (22 Short Answers, 3 Long Answers)

NCERT Solutions of Maths Class 10 Probability Exercise 15.2 – 5 Questions (5 Short Answers)

Topics Covered in Class 10 Maths Chapter 15 Probability:

Classical definition of probability. Simple problems on finding the probability of an event.

Also access the following resources for Class 10 Chapter 15 Probability at EduRev:

CBSE Maths Notes for Class 10 Chapter 15 - Probability

NCERT Summaries for Class 10 Chapter 15 - Areas Related to Circles

RD Sharma Solutions Areas Related to Circles Class 10


How NCERT Solutions for Class 10 Maths are Helpful While Preparing for the Exam?

Let’s discuss how NCERT solutions are helpful in your exam preparation:

  • NCERT is the go-to book to get good score in Class 10 Maths. So,to get good scores, you must go through the questions of NCERT textbook of Class 10 Maths thoroughly.
  • Then you can refer to the NCERT Solutions of Class 10 Maths to confirm whether you answered the questions correctly. These solutions act as a reference for the students so that you can avoid repeating the same mistakes and answer all the questions accurately.

Features of NCERT Class 10 Maths Solutions

NCERT Solutions of Class 10 Maths is an ideal resource for students to help them prepare for their board exams. EduRev provides comprehensive solutions to all the questions in the NCERT. These solutions are designed as per the NCERT curriculum and can help students instantly solve their doubts. The features of these solutions are given below:

  • Detailed explanations: The solutions provided are written in a way that is easy for students to understand, and the explanations for each exercise question in each chapter are detailed.
  • Exhaustive Coverage: The solutions cover all questions and examples given in the NCERT textbook, ensuring comprehensive preparation for exams.

  • Interactive Format: The solutions are presented in an interactive format, with images and graphs to help students visualize and understand complex concepts.

  • Regular Updates: The solutions are regularly updated to align with changes in the NCERT curriculum and to ensure accuracy.

  • Prepared by Experts: The solutions are prepared by subject matter experts and are reviewed for accuracy before being published.

Other NCERT Resources for Class 10 Maths

In addition to using NCERT Class 10 Maths Solutions, students in Class 10 should also consider using other resources such as the NCERT Class 10 Maths Exemplar, NCERT textbooks, and NCERT summaries to supplement their studies. These materials are aligned with the CBSE Class 10 Maths syllabus and can be helpful for exam preparation. It is recommended that students review these materials after completing the entire syllabus to aid in revision before the exam. The links to these resources are provided below:

If you need a complete course for your Class 10 preparation, do check out EduRev Infinity for Class 10. EduRev Infinity is more about quality than quantity, if we have to put a number, you would get around 30+ EduRev courses, which includes 500+ tests, 900+ docs, and 400+ videos and so much more!


Frequently Asked Questions (FAQs) on NCERT Solutions for Class 10 Maths

Can the NCERT Book for Class 10 Maths be considered as the best study material for exam preparations?

NCERT is the perfect textbook for Class 10 Maths preparation as most of the questions come from it. Questions from NCERT textbook and NCERT Exemplar should be solved completely and all the topics should be thoroughly covered. Toppers also recommend NCERT for Maths exam preparation. 


Which book should I use for Class 10 Maths preparation?

NCERT is the best book for preparation for Class 10. NCERT books are an essential resource for preparing for the Class 10 Maths exam, as a significant portion of the questions are often taken from these books. It is important for students to carefully read and understand the material presented in the NCERT textbooks and Exemplar, covering all questions thoroughly. After studying from NCERT, you can also study from RD Sharma to practise different types of questions. The perfect solutions for RD Sharma are available on EduRev.


What are the chapters present in the NCERT Solutions for Class 10 Maths?

The latest Class 10 Maths syllabus includes a total of 15 chapters from NCERT, and NCERT Solutions for Class 10 Maths are an excellent resource to help you easily understand all of these chapters. You can access the NCERT Solutions for Class 10 Maths from EduRev at this link, allowing you to take advantage of expert guidance as you prepare for your exams. These solutions can help shape your exam preparation and give a strong foundation in the subject.


Will the questions in the board exam appear from NCERT Solutions for Class 10 Maths?

A significant number of the questions on the Class 10 Maths exam are typically taken from NCERT Solutions. As they work through the textbook questions, students can refer to the solutions provided by EduRev's faculty to gain a better understanding of the concepts. These solutions are written in a way that makes it easy for students to comprehend difficult topics. Students can access the solutions both online and offline at any time, making them a convenient resource for exam preparation.

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CBSE Class 10 NCERT Solutions Maths

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pdf

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study material

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Exam

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ppt

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video lectures

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MCQs

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Previous Year Questions with Solutions

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