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

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

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

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Komal MiglaniUpdated on 25 Aug 2025, 08:52 AM IST

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"Pure mathematics is, in its way, the poetry of logical ideas." This quote by Albert Einstein describes the beauty of mathematics perfectly. Mathematics in class 10 plays an important role in the academic journey of the students, as it helps them build a strong foundation for their higher studies. It contains many key topics of mathematics, like Real numbers, Quadratic Equations, Coordinate Geometry, Trigonometry, Statistics, etc. But let's not forget that solving each exercise problem can be a challenging task for many students. That's where NCERT solutions for Class 10 Maths come into play. Many teachers recommend NCERT Solutions because they closely match the exam pattern.

The main benefit of using NCERT Solutions for Class 10 is that they provide clear explanations and accurate answers for better understanding. They follow the latest NCERT Syllabus and help students understand the methods provided in the solutions. It provides a detailed and step-by-step solution for each question in the NCERT textbook. Practising with these solutions can improve their overall competence in mathematics. For syllabus, notes, and PDF, refer to the NCERT article.

NCERT Solutions for Class 10 Maths 2025

NCERT Solutions for Class 10 Maths Chapter Wise 2025–26

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

NCERT Solutions for Class 10 Mathematics Chapter 1: Real Numbers

NCERT Solutions for Class 10 Mathematics Chapter 2: Polynomials

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

NCERT Solutions for Class 10 Mathematics Chapter 4: Quadratic Equations

NCERT Solutions for Class 10 Mathematics Chapter 5: Arithmetic Progressions

NCERT Solutions for Class 10 Mathematics Chapter 6: Triangles

NCERT Solutions for Class 10 Mathematics Chapter 7: Coordinate Geometry

NCERT Solutions for Class 10 Mathematics Chapter 8: Introduction to Trigonometry

NCERT Solutions for Class 10 Mathematics Chapter 9: Some Applications of Trigonometry

NCERT Solutions for Class 10 Mathematics Chapter 10: Circles

NCERT Solutions for Class 10 Mathematics Chapter 11: Areas Related to Circles

NCERT Solutions for Class 10 Mathematics Chapter 12: Surface Areas and Volumes

NCERT Solutions for Class 10 Mathematics Chapter 13: Statistics

NCERT Solutions for Class 10 Mathematics Chapter 14: Probability

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.

For step-by-step solutions to the exercise questions, refer to the links provided here.

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.

For step-by-step solutions to the exercise questions, refer to the links provided here.

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.

For step-by-step solutions to the exercise questions, refer to the links provided here.

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.

For step-by-step solutions to the exercise questions, refer to the links provided here.

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.

For step-by-step solutions to the exercise questions, refer to the links provided here.

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 Pythagorean 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.

For step-by-step solutions to the exercise questions, refer to the links provided here.

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.

For step-by-step solutions to the exercise questions, refer to the links provided here.

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.

For step-by-step solutions to the exercise questions, refer to the links provided here.

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.

For step-by-step solutions to the exercise questions, refer to the link provided here.

Some applications of trigonometry Class 10 Exercise 9.1

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.

For step-by-step solutions to the exercise questions, refer to the links provided 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.

For step-by-step solutions to the exercise questions, refer to the link provided here.

Areas Related to Circle Exercise 11.1

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

The topic of Surface Area and Volume in Class 10 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.

For step-by-step solutions to the exercise questions, refer to the links provided here.

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.

For step-by-step solutions to the exercise questions, refer to the links provided here.

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.

For step-by-step solutions to the exercise questions, refer to the link provided here.

Probability Class 10 Exercise 14.1

NCERT Exemplar Solutions Subject-wise

Given below are the links for subject-wise exemplar solutions. Go through the solutions for a better understanding of the concepts.

NCERT Books and NCERT Syllabus

Here are some useful links for NCERT books and the NCERT syllabus for class 10:

Frequently Asked Questions (FAQs)

Q: Where can I find NCERT Solutions for Class 10 Maths?

Students can access NCERT Solutions for class 10 Maths from online platforms such as Careers360 that provide chapter-wise solutions for free.

Q: Are diagrams and graphs included in NCERT Solutions?

Yes. Graphs (like those in Linear Equations and Statistics) and diagrams (like those in Geometry and Trigonometry) are explained properly in the NCERT Solutions to make learning easier.

Q: What are the important topics of NCERT Class 10 Maths?

All the topics in the Class 10 maths book are important. In the Class 10 Mathematics NCERT book, there are 14 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 class maths solution, NCERT exemplar questions for Class 10, and also the previous year papers for the board exam.

Q: Is Class 10 Mathematics useful for higher studies?

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

Q: Which chapters from NCERT Maths are the most important for exams?

Some high-weightage chapters of class 10 Maths are:

Pair of Linear Equations in Two Variables
Quadratic Equations
Arithmetic Progressions
Trigonometry and Applications of Trigonometry
Circles
Surface Areas and Volumes
Statistics & Probability

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Popular Questions

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) $0.67\; J$

Read Complete Answer

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 3.8×10⁷J 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

Read Complete Answer

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) $20,000 \, \, J - 50,000 \, \, J$

Read Complete Answer

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) $K/4$

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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 .

Read Complete Answer

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

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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.

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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.

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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

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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