NCERT Maths Class 10 Book Solutions - Chapterwise FREE PDF Download
NCERT Solutions for Class 10 Maths covering all exercises from Chapters 1 to 15 are provided here to help students prepare effectively for board exams. These solutions are designed to support students of Maths Class 10 by explaining every problem in a clear, step-by-step manner, making even complex concepts easier to understand.
Table of Content
The Class 10 Maths NCERT Solutions are prepared by subject experts to ensure accuracy, proper methodology, and complete alignment with the latest CBSE Class 10 Maths Syllabus.
By practising these textbook questions regularly, students can strengthen their conceptual clarity, improve problem-solving skills, and identify areas where they need more practice. With chapter-wise PDF access, students can revise NCERT Solutions Class 10 anytime school exams and board assessments.
Chapter-Specific NCERT Solutions for Class 10 Maths
Given below are the chapter-wise NCERT Solutions for Class 10 Maths. You can use it as your 10th maths guide. Go through these chapter-wise solutions to be thoroughly familiar with the concepts.
Get an idea about “How will the Paper of NCERT Class 10 Maths be Conducted?”
NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers
In Chapter 1 of Class 10 Maths, students are introduced to the basic concepts of real numbers, including rational and irrational numbers. The chapter begins with Euclid’s Division Lemma, which states that for any two positive integers a and b, there exist unique integers q and r such that
a = bq + r, where 0 ≤ r < b.
Based on this lemma, the Euclid’s Division Algorithm is explained, which helps students find the HCF of two positive integers. The chapter then introduces the Fundamental Theorem of Arithmetic, an important concept used to determine the LCM and HCF of numbers through their prime factorisation.
Further, students learn about rational and irrational numbers and understand the nature of the decimal expansion of rational numbers using relevant theorems. This chapter lays a strong foundation for number system concepts that are frequently tested in Class 10 board exams.
Topics Covered in Class 10 Maths Chapter 1 – Real Numbers
Fundamental Theorem of Arithmetic with examples
Proofs of irrationality of √2, √3, and √5
Steps to Find HCF Using Euclid’s Division Algorithm
Apply Euclid’s Division Lemma:
c = dq + r, where 0 ≤ r < dIf r = 0, then d is the HCF
If r ≠ 0, repeat the process with d and r
Continue until the remainder becomes zero; the final divisor is the HCF
Students can access extra study materials for Real Numbers on Vedantu. These resources are available for download, offering additional support for your studies.
NCERT Solutions for Class 10 Maths Chapter 2 Polynomials
In Class 10 Maths Chapter 2 Polynomials, students learn about polynomials based on their degree, such as linear, quadratic, and cubic polynomials. The chapter begins with an introduction to the degree of a polynomial and builds a strong foundation for understanding algebraic expressions.
This chapter includes four exercises, one of which is optional:
Exercise 2.1 focuses on finding the number of zeroes of a polynomial using graphs, based on the geometrical meaning of zeroes.
Exercise 2.2 covers the relationship between zeroes and coefficients of quadratic polynomials. Students are required to find the zeroes and, in some cases, construct the quadratic polynomial.
Exercise 2.3 introduces the Division Algorithm for Polynomials and includes problems based on polynomial division.
Exercise 2.4 (Optional) contains mixed questions from all the concepts covered in the chapter for overall revision.
Topics Covered in Class 10 Maths Chapter 2 Polynomials
Zeroes of a polynomial
Relationship between zeroes and coefficients of quadratic polynomials
Division Algorithm for polynomials
Division Algorithm for Polynomials Important Steps
Before starting the division, write both the dividend and divisor in standard form, that is, arrange their terms in descending order of degrees.
Step 1
Divide the highest-degree term of the dividend by the highest-degree term of the divisor to get the first term of the quotient. Continue the division process.
Step 2
Divide the highest-degree term of the new dividend by the highest-degree term of the divisor to obtain the next term of the quotient.
Step 3
Stop the division when the degree of the remainder becomes less than the degree of the divisor.
At this stage, the result follows the identity:
Dividend = Divisor × Quotient + Remainder
In general, for any two polynomials p(x) and g(x), where g(x) ≠ 0, there exist polynomials q(x) and r(x) such that:
p(x) = g(x) × q(x) + r(x)
where r(x) = 0 or degree of r(x) < degree of g(x).
This result is known as the Division Algorithm for Polynomials, and it is similar in concept to Euclid’s Division Algorithm studied in Chapter 1.
Students can access extra study materials for Polynomials on Vedantu. These resources are available for download, offering additional support for your studies.
NCERT Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables
Class 10 Maths Chapter 3 introduces students to the concept of a pair of linear equations in two variables and different methods used to solve them. The chapter helps students understand how to represent and solve real-life situations using algebraic equations.
This chapter consists of seven exercises, including one optional exercise:
Exercise 3.1 explains how to represent a given situation algebraically and graphically.
Exercise 3.2 focuses on solving a pair of linear equations using the graphical method.
Exercises 3.3 and 3.4 cover algebraic methods, including the substitution method and the elimination method.
Exercises 3.5 and 3.6 introduce the cross-multiplication method and additional algebraic techniques for solving equations.
Exercise 3.7 (Optional) includes a mix of questions from all the methods discussed in the chapter.
Regular practice of these exercises helps students gain confidence in solving linear equations accurately.
Topics Covered in Class 10 Maths Chapter 3
Pair of linear equations in two variables
Graphical method of solving linear equations
Consistency and inconsistency of equations
Algebraic conditions for the number of solutions
Algebraic solutions using substitution and elimination methods
Simple word problems based on real-life situations
Important Formula – Pair of Linear Equations
The general form of a pair of linear equations in two variables x and y is:
a₁x + b₁y + c₁ = 0
a₂x + b₂y + c₂ = 0
where a₁, b₁, c₁, a₂, b₂, c₂ are real numbers, and:
a₁² + b₁² ≠ 0
a₂² + b₂² ≠ 0
Students can access extra study materials for Pair of Linear Equations in Two Variables on Vedantu. These resources are available for download, offering additional support for your studies.
Pair of Linear Equations in Two Variables Important Questions
Pair of Linear Equations in Two Variables Important Formulas
Pair of Linear Equations in Two Variables NCERT Exemplar Solutions
Pair of Linear Equations in Two Variables RD Sharma Solutions
NCERT Solutions for Class 10 Maths Chapter 4 Quadratic Equations
Class 10 Maths Chapter 4 introduces students to quadratic equations and their standard form. The chapter explains different methods used to solve quadratic equations and helps students understand how to analyse the nature of roots using the discriminant.
Students learn to solve quadratic equations using:
Factorisation method
Completing the square method
Quadratic formula
The chapter also explains how the value of b² − 4ac determines whether a quadratic equation has real roots or not.
Topics Covered in Class 10 Maths Chapter 4 – Quadratic Equations
Standard form of a quadratic equation: ax² + bx + c = 0, where a ≠ 0
Solutions of quadratic equations (real roots only)
By factorisation
By using the quadratic formula
Relationship between the discriminant and the nature of roots
Situational and word problems based on day-to-day applications of quadratic equations
Important Concepts – Nature of Roots
For a quadratic equation ax² + bx + c = 0, the value of b² − 4ac decides the nature of its roots:
Two distinct real roots, if b² − 4ac > 0
Two equal real roots, if b² − 4ac = 0
In this case, both roots are −b / 2aNo real roots, if b² − 4ac < 0
Since b² − 4ac determines the nature of the roots, it is called the discriminant of the quadratic equation.
Students can access extra study materials for Quadratic Equations on Vedantu. These resources are available for download, offering additional support for your studies.
NCERT Solutions for Class 10 Maths Chapter 5 Arithmetic Progressions
Class 10 Maths Chapter 5 introduces students to Arithmetic Progressions (AP) and helps them understand number patterns that follow a constant difference. The chapter consists of four exercises designed to build both conceptual clarity and problem-solving skills.
Exercise 5.1 covers representing situations in the form of an AP, identifying the first term and common difference, and checking whether a given series is an AP or not.
Exercise 5.2 focuses on finding the nth term of an AP using the formula.
Exercise 5.3 includes questions based on finding the sum of the first n terms of an AP.
Exercise 5.4 contains higher-order problems that test analytical thinking and real-life application of AP concepts.
Topics Covered in Class 10 Maths Chapter 5 – Arithmetic Progressions
Introduction and motivation for studying Arithmetic Progressions
Derivation of the nth term of an AP
Derivation of the sum of the first n terms of an AP
Application of AP formulas in daily life problems
Important Formulas Arithmetic Progressions
If a₁, a₂, a₃, a₄, … are the terms of an AP and d is the common difference, the sequence can be written as:
a, a + d, a + 2d, a + 3d, …
where a is the first term.
Nth Term of an AP
$a + (n-1) d$
Sum of First n Terms of an AP
$S_n = \dfrac{n}{2}[2a + (n-1) d]$.
Students can access extra study materials for Arithmetic Progressions on Vedantu. These resources are available for download, offering additional support for your studies.
NCERT Solutions for Class 10 Maths Chapter 6 Triangles
Class 10 Maths Chapter 6 (Triangles) focuses on figures that have the same shape but not necessarily the same size. The chapter begins with the concepts of similar and congruent figures and gradually builds an understanding of similar triangles.
Students learn the conditions for similarity of triangles along with important theorems related to proportional sides and equal angles. The chapter also explains the relationship between the areas of similar triangles. Towards the end, students study the Pythagoras Theorem and its converse, which are widely used in geometry problems.
Topics Covered in Class 10 Maths Chapter 6 Triangles
Definition, examples, and counter-examples of similar triangles
If a line is drawn parallel to one side of a triangle, it divides the other two sides in the same ratio
If a line divides two sides of a triangle in the same ratio, it is parallel to the third side
Similarity of triangles when:
Corresponding angles are equal
Corresponding sides are proportional
One angle is equal and the including sides are proportional
Areas of similar triangles
Pythagoras Theorem and its converse
Important Theorems Triangles
Theorem 6.1: A line drawn parallel to one side of a triangle divides the other two sides in the same ratio
Theorem 6.2: If a line divides two sides of a triangle in the same ratio, it is parallel to the third side
Theorem 6.3: If corresponding angles of two triangles are equal, their corresponding sides are proportional, and the triangles are similar
Theorem 6.4: If corresponding sides of two triangles are proportional, their corresponding angles are equal, and the triangles are similar
Theorem 6.5: If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are proportional, the 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: In a right triangle, the triangles formed by drawing a perpendicular to the hypotenuse are similar to the original triangle and to each other
Theorem 6.8: In a right triangle, the square of the hypotenuse equals the sum of the squares of the other two sides (Pythagoras Theorem)
Theorem 6.9: If the square of one side of a triangle equals the sum of the squares of the other two sides, the angle opposite the first side is a right angle (Converse of Pythagoras Theorem)
Students can access extra study materials for Triangles on Vedantu. These resources are available for download, offering additional support for your studies.
NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry
Class 10 Maths Chapter 7 (Coordinate Geometry) helps students understand how geometry and algebra are connected through coordinates. In this chapter, students learn to calculate the distance between two points, find the coordinates of a point dividing a line segment, and determine the area of a triangle formed by three given points.
To solve these problems, students are introduced to important concepts such as the Distance Formula, Section Formula, and Area of a Triangle. These formulas are widely used in board exams and numerical problem-solving.
Topics Covered in Class 10 Maths Chapter 7 Coordinate Geometry
Revision of basic concepts of coordinate geometry
Graphs of linear equations
Distance formula
Section formula (internal division)
Area of a triangle using coordinates
Important Formulas: Coordinate Geometry
Distance Formula: $PQ = \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$
Section Formula: $m_1: m_2=\left(\dfrac{m_1 x_2+m_2 x_1}{m_1+m_2}, \dfrac{m_1 y_2+m_2 y_1}{m_1+m_2}\right)$
Area of Triangle: = $\dfrac{1}{2}\left[x_1\left(y_2-y_3\right)+x_2\left(y_3-y_1\right)+x_3\left(y_1-y_2\right)\right]$
Students can access extra study materials for Coordinate Geometry on Vedantu. These resources are available for download, offering additional support for your studies.
NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry
Class 10 Maths Chapter 8 introduces students to the basics of Trigonometry, an important branch of mathematics used extensively in higher classes. In this chapter, students learn about the trigonometric ratios of a right-angled triangle with respect to its acute angles.
The chapter also explains how trigonometric ratios are defined for angles 0° and 90°, along with the values of these ratios for standard angles. Students further study important trigonometric identities and learn how to prove and apply them while solving problems.
Topics Covered in Class 10 Maths Chapter 8 Introduction to Trigonometry
Trigonometric ratios of an acute angle of a right-angled triangle
Proof that trigonometric ratios are well defined
Definition and understanding of trigonometric ratios at 0° and 90°
Values of trigonometric ratios for 30°, 45°, and 60°
Relationship between different trigonometric ratios
Trigonometric Identities
Proof and application of the identity:
sin²A + cos²A = 1Use of simple trigonometric identities in problem-solving
Important Formulas for Introduction to Trigonometry
Trigonometry Maths formulae for Class 10 include the three major functions Sine, Cosine, and Tangent for a right-angle triangle. Let ABC be a right-angled triangle with ∠θ at point B.
$\sin \theta = \dfrac{\text{Side opposite to angle }\theta}{\text{Hypotenuse}} = \frac{\text { Perpendicular }}{\text { Hypotenuse }}$
$\cos \theta = \dfrac{\text{Adjacent side to angle }\theta}{\text{Hypotenuse}} = \dfrac{\text{Base}}{\text { Hypotenuse }}$
$\tan \theta = \dfrac{\text { Side opposite to angle } \theta }{\text { Adjacent side to angle } \theta}$
$\sec \theta = \dfrac{1}{\cos \theta}$
$\cot \theta = \dfrac{1}{\tan \theta}$
$\text{cosec} \theta = \dfrac{1}{\sin \theta}$
$\tan \theta = \dfrac{\sin \theta}{\cos \theta}$
Trigonometry Table
Trigonometric Ratios of Complementary Angles
$\sin (90^\circ - A) = \cos A$
$\cos (90^\circ - A) = \sin A$
$\tan (90^\circ - A) = \cot A$
$\cot (90^\circ - A) = \tan A$
$\sec (90^\circ - A) = \text{cosec} A$
$\text{cosec} (90^\circ - A) = \sec A$
$\sin^2 A + \cos^2 A = 1$
$\sec^2 A - \tan^2 A = 1$ for $0^\circ \leq A < 90^\circ$
$\text{cosec}^2 A = 1 + \cot^2 A$ for $0^\circ < A \leq 90^\circ$
Students can access extra study materials for Introduction to Trigonometry on Vedantu. These resources are available for download, offering additional support for your studies.
NCERT Solutions for Class 10 Maths Chapter 9 Some Applications of Trigonometry
Class 10 Maths Chapter 9 builds on the concepts learned in the previous trigonometry chapter and focuses on their practical applications. In this chapter, students learn how trigonometry is used to find the heights and distances of objects without directly measuring them.
The applications of trigonometry are commonly used in fields such as geography, navigation, map construction, and in determining the position of objects using angles. Students are introduced to important terms like line of sight, angle of elevation, and angle of depression, which are essential for solving real-life problems.
Topics Covered in Class 10 Maths Chapter 9 Some Applications of Trigonometry
Heights and distances
Angle of elevation
Angle of depression
Simple problems based on heights and distances
Problems involving not more than two right-angled triangles
Angles restricted to 30°, 45°, and 60°
Important Points Applications of Trigonometry
Line of Sight: The straight line drawn from the eye of the observer to the point on the object being viewed.
Angle of Elevation: The angle formed between the line of sight and the horizontal when the object is above the eye level of the observer.
Angle of Depression: The angle formed between the line of sight and the horizontal when the object is below the eye level of the observer.
Students can access extra study materials for Some Applications of Trigonometry on Vedantu. These resources are available for download, offering additional support for your studies.
NCERT Solutions for Class 10 Maths Chapter 10 Circles
In Class 10 Maths Chapter 10, students build on the basic concepts of circles studied in earlier classes, such as chords, arcs, and segments. This chapter mainly focuses on the tangent to a circle and examines different situations that arise when a line and a circle are placed in the same plane.
Students gain a clear understanding of the properties of tangents and learn how to determine the number of tangents that can be drawn from a given point to a circle.
Topics Covered in Class 10 Maths Chapter 10 Circles
Tangent to a circle at the point of contact
Tangent–radius relationship
Lengths of tangents drawn from an external point
Number of tangents from a point on or around a circle
Important Theorems Circles
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.
Number of Tangents from a Point to a Circle
Case 1: A point inside the circle – No tangent can be drawn.
Case 2: A point on the circle – Exactly one tangent can be drawn.
Case 3: A point outside the circle – Exactly two tangents can be drawn.
Students can access extra study materials for Circles on Vedantu. These resources are available for download, offering additional support for your studies.
NCERT Solutions for Class 10 Maths Chapter 11 Areas Related to Circles
In this chapter, students revise the basic concepts of the perimeter (circumference) and area of a circle. Using these fundamentals, the chapter explains how to calculate the area of sectors and segments of a circle.
Students also learn to solve problems involving the combination of plane figures made using circles or parts of circles. This chapter is highly scoring and formula-based, making regular practice essential for board exams.
Topics Covered in Class 10 Maths Areas Related to Circles
Area of a circle
Circumference of a circle
Area of sectors of a circle
Area of segments of a circle
Problems based on area and perimeter of plane figures involving circles
Segment problems restricted to central angles of 60°, 90°, and 120°
Important Formulas Areas Related to Circles
Circumference of a circle
$2 \pi r$
Area of a circle
$\pi r^2$
Area of a sector with angle
$\theta = \dfrac{\pi}{360} \times \pi r^2$
Length of an arc of a sector with angle
$\theta = \dfrac{\pi}{360} \times 2 \pi r$
where r is the radius of the circle.
Students can access extra study materials for Area Related to Circles on Vedantu. These resources are available for download, offering additional support for your studies.
NCERT Solutions for Class 10 Maths Chapter 12 Surface Areas and Volumes
Class 10 Maths Chapter 12 deals with calculating the surface areas and volumes of solid shapes and their combinations. The chapter contains five exercises that gradually move from basic applications to higher-order problems.
Exercise 12.1 focuses on finding the surface area of solids formed by combining basic shapes such as a cuboid, cone, cylinder, sphere, and hemisphere.
Exercise 12.2 includes questions based on finding the volume of combined solids.
Exercise 12.3 deals with problems where a solid is transformed from one shape to another, conserving volume.
Exercise 12.4 covers the curved surface area, total surface area, and volume of a frustum of a cone.
Exercise 12.5 (Optional) contains advanced problems based on all topics of the chapter.
Topics Covered in Class 10 Maths Chapter 12 – Surface Areas and Volumes
Surface areas and volumes of combinations of:
Cubes
Cuboids
Spheres
Hemispheres
Right circular cylinders and cones
Important Formulas – Surface Areas and Volumes
Sphere
Diameter = 2r
Surface area = 4πr²
Volume = (4/3)πr³
Cylinder
Curved surface area (CSA) = 2πrh
Area of two circular bases = 2πr²
Total surface area (TSA) = 2πrh + 2πr²
Volume = πr²h
Cone
Slant height = √(r² + h²)
Curved surface area = πrl
Total surface area = πr(l + r)
Volume = (1/3)πr²h
Cuboid
Perimeter = 4(l + b + h)
Length of longest diagonal = √(l² + b² + h²)
Total surface area = 2(lb + bh + lh)
Volume = l × b × h
Combination of Solids
TSA of new solid = Sum of CSAs of individual solids
Students can access extra study materials for Surface Areas and Volume on Vedantu. These resources are available for download, offering additional support for your studies.
NCERT Solutions for Class 10 Maths Chapter 13 Statistics
This is another excellent chapter in which students learn about the numerical representation of data, whether grouped or ungrouped. Learn how to find the mean, median, and mode of a given dataset. In the following assignment, you will learn about the cumulative frequency distribution and construct cumulative frequency curves.
Topics Covered in NCERT Solutions for Class 10 Maths Chapter 13
Mean, median and mode of grouped data.
Mean by Direct Method and Assumed Mean Method only.
Important Formulas for Chapter 13 Statistics
There are three ways to determine the mean of the grouped data.
The direct method is: $\bar{x} = \dfrac{\sum_{i=1}^n f_i x_i}{\sum_{i=1}^n f_i}$
Where ∑fi xi is the total of observations from value i = 1 to n. ∑fi represents the number of observations from i = 1 to n.
Assumed Mean Method: $\bar{x} = a+\dfrac{\sum_{i=1}^n f_i d_i}{\sum_{i=1}^n f_i}$
The step deviation approach is: $\bar{x} = a+\dfrac{\sum_{i=1}^n f_i u_i}{\sum_{i=1}^n f_i} \times h$
Mode of grouped data:
Mode = $l+\dfrac{f_1-f_0}{2 f_1-f_0-f_2} \times h$
The median for grouped data is:
Median = $l+\dfrac{\frac{n}{2}-c f}{f} \times h$
Students can access extra study materials for Statistics on Vedantu. These resources are available for download, offering additional support for your studies.
NCERT Solutions for Class 10 Maths Chapter 14 Probability
Chapter 14 begins with the theoretical approach to probability. discusses and illustrates the distinction between experimental and theoretical probability. The chapter is full of examples that help learners understand the idea of probability. Probability is also a very essential chapter for students to focus on, as it will be studied in further grades. To stay up with the formulae and new subjects introduced in higher classes, students must first master the fundamentals of the chapter in class 10.
Topics Covered in NCERT Solutions for Class 10 Maths Chapter 14
Classical definition of probability.
Simple problems on finding the probability of an event.
Important Formulas for Chapter 14 Probability
The theoretical probability (also known as classical probability) of an event E, denoted as P(E), is
$P(E)=\dfrac{\text { Number of outcomes favourable to } E}{\text { Number of all possible outcomes of the experiment }}$
We assume that the experiment's outcomes are equally likely.
The probability of a definite event (or certain event) is one.
The chance of an impossible event is zero.
The probability of an occurrence E is a number P(E), where 0 < P(E) ≤ 1.
An elementary occurrence is one that has only one possible conclusion. The total of the probability of all elementary occurrences in an experiment equals one.
Students can access extra study materials for Probability on Vedantu. These resources are available for download, offering additional support for your studies.
CBSE Class 10 Maths Chapter-Wise Marks Weightage
Internal Assessment for CBSE Class 10 Maths
Which Is the Best Online Learning Platform for Learning Maths?
If you are looking for NCERT Solutions for Class 10 Maths, you are already on the right track. The solutions you just explored for Chapter 1 – Real Numbers are part of a complete, chapter-wise learning support system designed to help students understand concepts clearly and score better in exams.
To learn NCERT Maths Class 10 concepts in depth, Vedantu offers structured video lessons, step-by-step explanations, and exam-oriented practice that align fully with the NCERT Maths Class 10 textbook PDF and the latest CBSE syllabus.
Why Choose Vedantu for Class 10 Maths?
For Maths, Vedantu provides students with:
Concept-wise NCERT Solutions for Class 10 Maths with clear working steps
Video lessons that explain every topic from the NCERT Maths Class 10 syllabus
Chapter-wise practice questions and important exam problems
Formula summaries and revision notes for quick recall
Regular practice tests to track progress and improve accuracy
24×7 access to learning resources for flexible study
Why Vedantu’s NCERT Class 10 Maths Solutions Are Important for Board Exam Preparation?
NCERT Class 10 Maths Solutions are essential for effective CBSE board exam preparation, as CBSE strictly follows the NCERT syllabus. Class 10 is a key academic stage, and a strong understanding of Maths concepts at this level helps students perform better in board exams and future studies.
Using NCERT Solutions Class 10 Maths, students can understand step-by-step methods aligned with the CBSE marking scheme. These solutions simplify complex problems, improve accuracy, and help students present answers correctly in exams. Regular practice also builds speed and confidence.
Along with textbook questions, solving NCERT Exemplar Class 10 Maths problems strengthens conceptual clarity and prepares students for higher-order and application-based questions. With chapter-wise NCERT Class 10 Maths solutions available in PDF format, students can revise efficiently and stay exam-ready.
CBSE Class 10 Maths Study Materials
FAQs on NCERT Solutions for Class 10 Maths - Updated for 2025-26
1. What is the best way to prepare for Class 10 Maths?
The best way to prepare for Class 10 Maths is by studying concepts directly from the NCERT Maths Class 10 textbook and practising questions using NCERT Solutions for Class 10 Maths provided by Vedantu. This ensures full syllabus coverage and familiarity with the CBSE exam pattern.
2. Are NCERT Solutions for Class 10 Maths enough for board exams?
Yes, NCERT Solutions Class 10 Maths are sufficient for CBSE board exams when practised thoroughly. Since CBSE sets questions strictly from the NCERT Maths Class 10 textbook, mastering textbook questions and examples gives students a strong scoring advantage.
3. Where can I find reliable Class 10 Maths NCERT Solutions?
Students can access Class 10 Maths NCERT Solutions from Vedantu in a chapter-wise format. These solutions explain every step clearly and are aligned with the CBSE marking scheme, making them ideal for exam preparation.
4. Is the NCERT Maths Class 10 textbook PDF useful for board preparations?
Yes, the NCERT Maths Class 10 textbook PDF is extremely useful for quick preparations, especially before exams. When used along with NCERT Class 10 Maths solutions, it helps students revise concepts and practise questions efficiently.
5. What is included in NCERT Class 10 Maths Solutions?
NCERT Class 10 Maths Solutions include:
Step-by-step answers for all textbook exercises
Chapter-wise explanations
Important formulas and methods
Solutions aligned with CBSE board exam requirements
6. Are NCERT Exemplar Class 10 Maths questions important?
Yes, NCERT Exemplar Class 10 Maths questions are very important as they focus on higher-order thinking and application-based problems. Solving exemplar problems along with NCERT solutions class 10 maths improves conceptual depth and exam confidence.
7. Can I download Class 10 Maths NCERT Solutions PDF for free?
Students can access Class 10 Maths NCERT Solutions PDF chapter-wise for focused practice and understanding. PDFs are especially helpful for offline study and last-minute exam preparation.
8. Which chapters are most important in Maths Class 10?
Some high-weightage chapters in Maths Class 10 include:
Class 10 Maths Chapter 1 – Real Numbers
Quadratic Equations
Class 10 Maths NCERT Solutions Triangles
Class 10 Maths NCERT Solutions Surface Area and Volume
Class 10 Maths NCERT Solutions AP (Arithmetic Progressions)
Practising these chapters thoroughly is crucial for scoring well.
9. Are Class 10 Maths NCERT Solutions useful for competitive exams?
Yes, Class 10 Maths NCERT Solutions help build strong fundamentals that are useful not only for board exams but also for competitive exams that follow the NCERT syllabus pattern.
10. How do NCERT Maths Class 10 solutions help in writing better answers?
NCERT Maths Class 10 solutions teach students the correct step-by-step method, logical presentation, and formula usage. This helps students write clear, structured answers that fetch full marks in CBSE exams.
11. What is the difference between NCERT textbook and NCERT solutions for Class 10 Maths?
The NCERT Maths Class 10 textbook contains questions and examples, while NCERT Solutions for Class 10 Maths provide detailed explanations and solved answers, helping students understand the correct approach to each problem.
12. Is it necessary to practise all exercises in Class 10 Maths NCERT book?
Yes, practising all exercises from the Class 10 Maths NCERT book is important, as CBSE board questions are directly based on textbook problems and examples.
13. Do NCERT Class 10 Maths solutions follow the latest CBSE syllabus?
Yes, NCERT Class 10 Maths solutions are fully aligned with the latest CBSE syllabus and exam pattern, making them safe and reliable for board exam preparation.
14. How often should students practise NCERT Solutions Class 10 Maths?
Students should practise NCERT Solutions Class 10 Maths regularly, ideally after completing each chapter. Consistent practice helps improve accuracy, speed, and confidence.
15. Can Vedantu’s NCERT Maths Class 10 solutions help weak students?
Absolutely. NCERT Maths Class 10 solutions explain concepts in simple language and break down complex problems into easy steps, making them especially helpful for students who find maths challenging.
