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NCERT Solutions for Class 10 Maths 2025: Chapter-Wise Free PDF Download

NCERT Solutions for Class 10 Maths 2025: Chapter-Wise Free PDF Download

Edited By Komal Miglani | Updated on Apr 23, 2025 10:02 AM IST
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Mathematics is an important subject that shapes students' logical, analytical, and problem-solving skills of the students. Math marks in Class 10 are a very important milestone in the student's academic journey. The NCERT Class 10 Maths covers a variety of important topics like Polynomials, Quadratic Equations, Statistics, etc., which are not only important for board exams but also for competitive exams. The NCERT Solutions for Class 10 provide comprehensive, step-by-step solutions for each question in all subjects from the NCERT Book.

This Story also Contains
  1. NCERT Solutions for Class 10 Maths Chapter Wise 2025–26
  2. NCERT Class 10 Maths Marks Distribution
  3. Class 10 Maths NCERT Solutions Chapter Wise Exercises
  4. NCERT Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables
  5. Importance of NCERT Solutions for Class 10 Maths
NCERT Solutions for Class 10 Maths 2025: Chapter-Wise Free PDF Download
NCERT Solutions for Class 10 Maths 2025: Chapter-Wise Free PDF Download

The NCERT solutions are designed by subject matter experts, making them an essential resource for exam preparation. They follow the NCERT Syllabus and help students understand the methods followed in each step of the solution. Practising with these solutions can improve their overall performance in the board exams.

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NCERT Solutions for Class 10 Maths Chapter Wise 2025–26

The chapter-wise Class 10 Maths NCERT solutions are listed below.

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As per latest 2024 syllabus. Maths formulas, equations, & theorems of class 11 & 12th chapters

NCERT Class 10 Maths Marks Distribution

Units

Marks

Unit - I

06

Unit - II

20

Unit - III

06

Unit - IV

15

Unit - V

12

Unit - VI

10

Unit - VII

11

Total (Theory)

80

Internal Assessment

20

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Class 10 Maths NCERT Solutions Chapter Wise Exercises

Students can download the NCERT Solution of Maths of Class 10, chapter-wise, using the links given below.

NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers

NCERT Solutions for Class 10 Maths Chapter 1 – Real Numbers provide clear explanations of key topics like Euclid’s Division Lemma, HCF and LCM, and properties of rational and irrational numbers. Aligned with the CBSE syllabus, these solutions help students build strong fundamentals and improve problem-solving skills.

Chapter 1 Real Numbers

For the exercise solutions, click on the links below.

NCERT Solutions for Class 10 Maths Chapter 2 Polynomials

Polynomials are algebraic expressions consisting of variables and coefficients with non-negative integer powers. This chapter introduces key concepts like types of polynomials, their degrees, zeros, and the relationship between zeros and coefficients. It lays the foundation for many mathematical concepts and real-world applications using factorisation, division, or other algebraic methods.

Chapter 2 Polynomials

For the exercise solutions, click on the links below.

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

A linear equation is a type of equation where the highest power of the variable is one. When we have two such equations with two variables, they form a pair of linear equations. We can solve them using simple methods like substitution, elimination, or graphs. These equations are very useful and are used in real life in areas like science, business, and engineering.

Chapter 3 Pair of Linear Equations in Two Variables

For the exercise solutions, click on the links below.

NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations

Quadratic equations are algebraic expressions where the highest power of the variable is two. They are an important part of algebra and help understand many advanced topics. These equations can be solved using methods like factorisation and the quadratic formula. Quadratic equations are also useful in real-life situations, especially in physics, economics, and engineering.

Chapter 4 Quadratic Equations

For the exercise solutions, click on the links below.

NCERT Solutions for Class 10 Maths Chapter 5 Arithmetic Progressions

Arithmetic Progression (AP) is a simple concept in algebra where each number in a sequence increases or decreases by the same fixed value, called the common difference. This basic concept helps understand more advanced topics and is used in many real-life situations.

Chapter 5: Arithmetic Progressions

For the exercise solutions, click on the links below.

NCERT Solutions for Class 10 Maths Chapter 6 Triangles

Triangles are simple two-dimensional shapes with three sides and three angles, adding up to 180 degrees. In Class 10, the study of triangles helps understand important properties like the Pythagoras theorem, the relationships between the sides and angles, and the criteria for triangle congruence. These principles are used to solve various real-life problems in fields such as architecture, engineering, and navigation.

Chapter 6 Triangles

For the exercise solutions, click on the links below.

NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry

Coordinate Geometry is a topic in Class 10 that helps us understand shapes and points using a grid with two axes: the x-axis and y-axis. By using these axes, we can locate points and find distances between them. This chapter covers simple formulas like the distance formula and section formula to make calculations easier. Coordinate Geometry is used in many real-life things like maps, GPS, computer graphics, and designing buildings.

Chapter 7 Coordinate Geometry

For the exercise solutions, click on the links below.

NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry

Trigonometry is a branch of mathematics in Class 10 that deals with the relationships between the angles and sides of a triangle. It focuses on understanding the basic trigonometric ratios like sine, cosine, and tangent, which help solve problems related to right-angled triangles. This chapter introduces important concepts such as trigonometric identities and their applications. Trigonometry is widely used in real-life situations like measuring heights, distances, and angles, and has applications in fields like engineering, architecture, and navigation.

Chapter 8 Introduction to Trigonometry

For the exercise solutions, click on the links below.

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

Trigonometry is used in real-life situations where we want to find angles or distances. For example, in measuring the height of a tall building or a mountain, we can use trigonometric ratios like sine, cosine, or tangent. It's also used in navigation, which includes locating the location of a ship or a plane. It has many other real-life applications in fields like engineering and architecture.

Chapter 9 Some Applications of Trigonometry

For the questions and solutions, you can refer here.

NCERT Solutions for Class 10 Maths Chapter 10 Circles

Circles are fundamental elements of geometry. The topic of Circles in Class 10 focuses on the basic properties of circles. This chapter helps us understand tangents, chords, and the angles they form. We also learn about important theorems related to circles.

Chapter 10 Circles

For the questions and solutions, you can refer here.

NCERT Solutions for Class 10 Maths Chapter 11 Areas Related to Circles

The topic of Areas Related to Circles in Class 10 explores how to calculate the area and circumference of circles, as well as the areas of specific parts of a circle, such as sectors and segments. This chapter helps students understand the different ways to measure circular regions and their portions.

Chapter 11 Areas Related to Circles

For the questions and solutions, you can refer here.

NCERT Solutions for Class 10 Maths Chapter 12 Surface Areas and Volumes

The topic of Surface Area and Volume in Class 10 CBSE Mathematics is an important chapter that helps students understand how to calculate the area required to cover a solid object and the space it occupies. The concepts covered in this chapter are crucial for solving practical geometry-related problems and have numerous real-life applications.

Chapter 12 Surface Areas and Volumes

For the exercise solutions, click on the links below.

NCERT Solutions for Class 10 Maths Chapter 13 Statistics

The topic of Statistics in Class 10 focuses on collecting, organising, and interpreting data to draw meaningful conclusions. This chapter introduces concepts such as mean, median, mode, and the use of cumulative frequency tables. Students learn how to analyse and represent data through graphs, such as histograms and frequency polygons.

Chapter 13 Statistics

For the exercise solutions, click on the links below.

NCERT Solutions for Class 10 Maths Chapter 14 Probability

Probability is an important concept in Class 10 Mathematics that helps us understand and analyse random events and their chances of occurring. This chapter covers various types of probability problems and introduces the methods and formulas used to solve them.

Chapter 14 Probability

For the exercise solutions, click on the links below.

Importance of NCERT Solutions for Class 10 Maths

  • NCERT Solutions for Class 10 Maths are an essential resource for students as they provide clear, step-by-step explanations of every problem in the NCERT book, helping students grasp key mathematical concepts effectively.
  • These solutions are aligned with the CBSE curriculum, ensuring students focus on the right topics for their exams.
  • They help enhance problem-solving skills, boost confidence, and improve accuracy and speed in solving questions.
  • The NCERT Solutions are crucial for strengthening exam preparation and ensuring a deeper understanding of mathematics.

Other Resources for NCERT Class 10 Maths

Students can also refer to the other resources for NCERT Class 10 Maths using the links given below.


Frequently Asked Questions (FAQs)

1. What are the important topics of NCERT Class 10 Maths?

All the topics of class 10 maths book are important. In the Class 10 Mathematics NCERT book there are 15 chapters. These chapters are from Algebra, Geometry, Trigonometry, Statistics, and Probability. All the topics of NCERT Class 10 Mathematics are important for the CBSE board exam as the syllabus of the CBSE board is based on the NCERT Syllabus. To get a good score students can practice 10th maths solution, NCERT exemplar questions for Class 10, and also the previous year papers for the board exam.

2. Is Class 10 Mathematics useful for higher studies?

Yes, definitely 10th maths solutions is useful for higher studies in the field of Mathematics, Science and Engineering. In Class 11 NCERT Mathematics the higher version of Arithmatic progression, Trigonometry , Statistics, Probability, Coordinate Geometry and Quadratic equations are studied. students can practice CBSE class 10 maths solutions to get in-depth understanding of the concepts.

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A block of mass 0.50 kg is moving with a speed of 2.00 ms-1 on a smooth surface. It strikes another mass of 1.00 kg and then they move together as a single body. The energy loss during the collision is

Option 1)

0.34\; J

Option 2)

0.16\; J

Option 3)

1.00\; J

Option 4)

0.67\; J

A person trying to lose weight by burning fat lifts a mass of 10 kg upto a height of 1 m 1000 times.  Assume that the potential energy lost each time he lowers the mass is dissipated.  How much fat will he use up considering the work done only when the weight is lifted up ?  Fat supplies 3.8×107 J of energy per kg which is converted to mechanical energy with a 20% efficiency rate.  Take g = 9.8 ms−2 :

Option 1)

2.45×10−3 kg

Option 2)

 6.45×10−3 kg

Option 3)

 9.89×10−3 kg

Option 4)

12.89×10−3 kg

 

An athlete in the olympic games covers a distance of 100 m in 10 s. His kinetic energy can be estimated to be in the range

Option 1)

2,000 \; J - 5,000\; J

Option 2)

200 \, \, J - 500 \, \, J

Option 3)

2\times 10^{5}J-3\times 10^{5}J

Option 4)

20,000 \, \, J - 50,000 \, \, J

A particle is projected at 600   to the horizontal with a kinetic energy K. The kinetic energy at the highest point

Option 1)

K/2\,

Option 2)

\; K\;

Option 3)

zero\;

Option 4)

K/4

In the reaction,

2Al_{(s)}+6HCL_{(aq)}\rightarrow 2Al^{3+}\, _{(aq)}+6Cl^{-}\, _{(aq)}+3H_{2(g)}

Option 1)

11.2\, L\, H_{2(g)}  at STP  is produced for every mole HCL_{(aq)}  consumed

Option 2)

6L\, HCl_{(aq)}  is consumed for ever 3L\, H_{2(g)}      produced

Option 3)

33.6 L\, H_{2(g)} is produced regardless of temperature and pressure for every mole Al that reacts

Option 4)

67.2\, L\, H_{2(g)} at STP is produced for every mole Al that reacts .

How many moles of magnesium phosphate, Mg_{3}(PO_{4})_{2} will contain 0.25 mole of oxygen atoms?

Option 1)

0.02

Option 2)

3.125 × 10-2

Option 3)

1.25 × 10-2

Option 4)

2.5 × 10-2

If we consider that 1/6, in place of 1/12, mass of carbon atom is taken to be the relative atomic mass unit, the mass of one mole of a substance will

Option 1)

decrease twice

Option 2)

increase two fold

Option 3)

remain unchanged

Option 4)

be a function of the molecular mass of the substance.

With increase of temperature, which of these changes?

Option 1)

Molality

Option 2)

Weight fraction of solute

Option 3)

Fraction of solute present in water

Option 4)

Mole fraction.

Number of atoms in 558.5 gram Fe (at. wt.of Fe = 55.85 g mol-1) is

Option 1)

twice that in 60 g carbon

Option 2)

6.023 × 1022

Option 3)

half that in 8 g He

Option 4)

558.5 × 6.023 × 1023

A pulley of radius 2 m is rotated about its axis by a force F = (20t - 5t2) newton (where t is measured in seconds) applied tangentially. If the moment of inertia of the pulley about its axis of rotation is 10 kg m2 , the number of rotations made by the pulley before its direction of motion if reversed, is

Option 1)

less than 3

Option 2)

more than 3 but less than 6

Option 3)

more than 6 but less than 9

Option 4)

more than 9

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