NCERT Solutions Class 10 Mathematics for all chapters is available here free download. Students can use the pdf links provided in this article to download the Class 10 NCERT Mathematics Chapter-by-Chapter solutions. Students studying for the board exam will find the Mathematics Class 10 NCERT Solutions pdf useful. The CBSE urges students in class 10 to utilise the NCERT textbook. The NCERT Mathematics book for class 10 was produced by expert instructors and intellectuals. Students may get entire solutions and answers from NCERT Solutions. The NCERT Mathematics answer for class 10 is based on the most up-to-date curriculum and syllabus. These solutions can be used as a reference when solving difficulties or as a source to clarify topics.
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CBSE Class 10 2027 Latest Update as on 04 Sep 2026
Contains
Checked on 04 Sep 2026
CBSE Class 10 2027 board exams, conducted by the Central Board of Secondary Education, are currently in the academic preparation phase; the 2026-27 curriculum is active and exams are tentatively expected in February–March 2027.
| Exam | CBSE Class 10 2027 |
|---|---|
| Status | CBSE Academic website (cbseacademic.nic.in) has published the Detailed Curriculum 2026-27, which is the current operative curriculum for Class 10 students appearing in 2027. |
| Next expected | Curriculum & syllabus for 2026-27 (Class 10, 2027 batch): Already published on cbseacademic.nic.in — students should download and follow it now. |
| Official website | cbse.gov.in |
| Last verified | 04 Sep 2026 |
As of 04 September 2026, CBSE Class 10 2027 board exams are in the active academic preparation phase. The Central Board of Secondary Education has published the 2026-27 Detailed Curriculum on cbseacademic.nic.in, which serves as the official syllabus guide for students appearing in the 2027 board examinations. No separate notification for exam dates, admit cards, or registration has been issued yet, which is normal at this stage of the academic cycle. Based on previous-year patterns, schools are expected to submit the List of Candidates (LOC) around October–November 2026, written board exams are tentatively expected in February–March 2027, and results may be declared by May–June 2027. Students preparing for CBSE Class 10 2027 should immediately download the official 2026-27 curriculum from cbseacademic.nic.in, align their NCERT chapter-wise preparation accordingly, and monitor the CBSE website for any date-sheet or syllabus revision announcements in the coming months. Official website: cbse.gov.in.
- CBSE Academic website (cbseacademic.nic.in) has published the Detailed Curriculum 2026-27, which is the current operative curriculum for Class 10 students appearing in 2027.
- The 2026-27 curriculum includes a Curriculum Framework for Computational Thinking (CT) and Artificial Intelligence (AI) for Classes III–VIII, indicating active curricular updates for this academic session.
- Capacity Building Programmes for teachers for September 2026 are underway, signalling the academic session is progressing normally.
- Curriculum & syllabus for 2026-27 (Class 10, 2027 batch): Already published on cbseacademic.nic.in — students should download and follow it now.
- CBSE Class 10 registration/LOC (List of Candidates) submission by schools: Expected around October–November 2026 (last year: approx. Oct–Nov 2025).
- CBSE Class 10 admit cards: Tentatively expected in January–February 2027 (last year: released ~4 weeks before exam).
- CBSE Class 10 2027 board practical/internal exams: Tentatively expected January–February 2027 (based on previous-year pattern).
- CBSE Class 10 2027 written board exams: Tentatively expected February–March 2027 (last year: exams began mid-February 2026).
- CBSE Class 10 2027 results: Tentatively expected May–June 2027 (last year: declared in May 2026).
Sources: CBSE Official Website · CBSE Academic Website — Curriculum 2026-27
NCERT Solutions Class 10 Mathematics: Download Pdf
The NCERT Class 10 Book has 15 chapters, and you may get solutions to all of them here, delivered by a qualified Mathematics teacher. Students will benefit from doing these textbook activities as they prepare for the board test. Class 10 math is the most important topic, and you will need to put in a lot of practise time so that you can easily solve the math sums in higher classes. Real Numbers, Polynomials, Pairs of Linear Equations in Two Variables, Quadratic Equations, Arithmetic Progressions, Triangles, Some Applications of Trigonometry, Constructions, Surface Areas and Volumes, Statistics Probability are some of the topics covered in this NCERT Solutions for Class 10 Mathematics.
NCERT Solutions of Class 10 Mathematics Chapter 1: Real Numbers
In this NCERT Solutions for Class 10 Mathematics Chapter 1, Real Numbers, You will gain a thorough understanding of real and irrational numbers. The Division Lemma of Euclid is stated as follows: “Given positive integers a and b. The LCM and HCF of any two positive numbers are calculated using Euclid’s Division algorithm, which is based on this lemma. In this chapter, you can learn about irrational numbers, rational numbers, and decimal expansion with the help of this theorem. NCERT solutions for chapter 1 of Mathematics for class ten The subject of Real Numbers includes Euclid’s division lemma, the Fundamental Theorem of Arithmetic, the decimal representation of rational numbers, and proofs of the irrationality of √2, √3, √5, among other topics.
NCERT Solutions of Class 10 Mathematics Chapter 2: Polynomials
Major Changes This Year
No official changes to CBSE Class 10 2027 syllabus, exam pattern, or schedule have been announced yet; the 2026-27 curriculum framework referenced on cbseacademic.nic.in is currently in effect.
No major change has been officially announced yet for CBSE Class 10 2027 in terms of exam pattern, marking scheme, syllabus restructuring, or eligibility. The 2026-27 curriculum is active and follows the broad framework of the National Curriculum Framework-2005. Notably, CBSE has introduced a Curriculum Framework for Computational Thinking (CT) and Artificial Intelligence (AI) for select classes this session, though its applicability to Class 10 board assessment has not been officially clarified. Students are advised to watch cbseacademic.nic.in for any mid-session syllabus circulars, as CBSE has issued such revisions in prior years.
In this Class 10 Mathematics NCERT Solutions Chapter 2, you can learn about finding the number of zeroes in a graph, understanding the Geometrical Meaning of the Zeroes of a Polynomial, Relationship between Zeroes and Coefficients of a Polynomial, quadratic polynomial, concept of division algorithm, and more in this Class 10 Mathematics NCERT Solutions Chapter 2. There are four problems in total in these NCERT solutions for class 10 Mathematics chapter 2 Polynomials, including an optional practise. These answers are taken from the 10th Grade Mathematics Book Solution.
NCERT Solutions of Class 10 Mathematics 3rd chapter : Pair of Linear Equations in Two Variables
The concept of Pair of Linear Equations in Two Variables is explained in NCERT Solutions for Class 10 Mathematics Chapter 3. There are seven problems in these NCERT solutions for class 10 Mathematics chapter 3 Pair of Linear Equations in Two Variables. You can learn how to represent a situation algebraically and graphically, as well as how to solve a pair of linear equations using the Graphical Method, Elimination Method, Substitution, Cross-Multiplication Method, and other methods in this Class 10 Mathematics NCERT Chapter 3 – Pair of Linear Equations in Two Variables.
NCERT Solutions of Class 10 Mathematics Chapter 4: Quadratic Equations
NCERT Solutions for Class 10 Mathematics Chapter 4 will teach you how to write a quadratic equation in standard form. This NCERT answer for class 10 Mathematics chapter 4 Quadratic Equations includes four tasks. Students learn about quadratic equations as they relate to day-to-day activities in this chapter. Solutions of quadratic equations by factorization, relationship between discriminant and type of roots, completing the square method, use of quadratic formula, and other topics are covered in NCERT Chapter 4 – Quadratic Equations for Class 10 Mathematics.
NCERT Solutions of Class 10 Mathematics Chapter 5: Arithmetic Progressions
NCERT Solutions for Class 10 Mathematics Chapter 5 will introduce students to a new topic known as Arithmetic Progression (A.P.). The NCERT solutions for class 10 Mathematics chapter 5 Arithmetic Progressions covers topics such as the difference between an AP, representing a situation in the form of an AP, determining whether a series is AP, and the final exercise includes higher-level questions based on AP, so that students have a strong understanding of analytical and problem-solving skills. In Class 10 Mathematics NCERT Chapter 5 – Arithmetic Progressions, there are four topics that are based on the most recent NCERT Book syllabus.
NCERT Solutions of Class 10 Mathematics 6th Chapter: Triangles
In this NCERT solution for class 10 Mathematics chapter 6, students will be required to study those figures that have the same shapes but are not necessarily the same size. You will learn about the concept of a similar and congruent figure in this chapter. You will also learn about the criterion for two triangles being similar, as well as various theorems about triangle similarities. NCERT solutions for chapter 6 of Mathematics in class 10- Triangles includes topics such as triangle definitions, the ratio of the areas of two identical triangles, the right triangle, and matching angles, among others. Based on the newest NCERT Book syllabus, there are six topics in Class 10 Mathematics NCERT Chapter 6 – Triangles.
NCERT Solutions of Class 10 Mathematics Chapter 7: Coordinate Geometry
In this NCERT Solutions for class 10 Mathematics, chapter 7, students will learn how to find the distance between two places if the coordinates are supplied. You will also learn how to calculate the area of a triangle formed by three points and the coordinates of the point that divides a line segment connecting two points. NCERT solutions for chapter 7 of Mathematics in class ten Concepts of coordinate geometry, Area of a triangle, Distance formula, Graphs of Linear Equations, and other topics are covered in Coordinate Geometry. NCERT Chapter 7 – Coordinate Geometry in Class 10 Mathematics covers four topics.
NCERT Solutions of Class 10 Mathematics Chapter 8: Introduction to Trigonometry
In Class 10 Mathematics NCERT Chapter 8– Introduction to Trigonometry, there are four topics: trigonometric ratios of an acute angle, a right-angled triangle, Values of the trigonometric ratios 30, 45, and 60, relationships between the ratios, and complementary angle trigonometric ratios, and so on. In these NCERT solutions for class 10-Mathematics chapter 8 Introduction to Trigonometry, all solutions are thoroughly described in a step-by-step approach.
NCERT Solutions of Class 10 Mathematics Chapter 9: Some Applications of Trigonometry
This NCERT solution for class 10 Mathematics chapter 9 Some Applications of Trigonometry only covers one topic. In this NCERT Chapter 9– Some Applications of Trigonometry for Class 10 Mathematics, you will learn about the applications of trigonometry, such as its usefulness in geography, navigation, finding the position of an island, line of sight, angle of elevation, angle of depression, and other topics as well.
NCERT Solutions of Class 10 Mathematics Chapter 10: Circles
In your early classes, you learned about the circle, chord, segment, arc, and so forth. However, students will explore the various instances in which a circle and a line are supplied in a plane in this chapter of NCERT solutions for class 10 Mathematics chapter 10 Circles. This chapter covers two topics: the tangent at any point on a circle, and the lengths of tangents of the circle taken from an external point, among others.
Important Theorems to remember:
- Theorem 1: The tangent at any point of a circle is perpendicular to the radius through the point of contact.
- Theorem 2: The lengths of tangents drawn from an external point to a circle are equal.
NCERT Solutions of Class 10 Mathematics Chapter 11: Constructions
You will learn about construction in this lesson, and it will be of benefit you if you have learnt the concept of construction in previous classes. Division of a line segment in a specific ratio, Tangents to a circle from a point outside it, Construction of a triangle, and other topics are covered in this NCERT solutions for class 10 Mathematics, chapter 11- Constructions. This chapter is divided into two sections. The methods and techniques for constructing tangents to the circle are taught in detail in this chapter, with plenty of examples provided before each task. Before each exercise, the students are provided examples to help them comprehend the procedures and theorems.
NCERT Solutions of Class 10 Mathematics Chapter 10: Areas Related To Circles
You will learn about the concepts of perimeter and area of a circle in this NCERT solutions for class 10 Mathematics chapter 10 Areas Related to Circles. This chapter covers three different concepts. It covers topics such as the circumference of planar objects, including triangles, circles, and simple quadrilaterals, as well as the area of a circle, the area of sectors and segments of a circle, and the circumference of sectors and segments of a circle.
Important formulas for the students to note:
- Circumference = 2πr
- Area of the circle = πr2
- Area of the sector of angle θ = (θ/360) × πr2
- Length of an arc of a sector of angle θ = (θ/360) × 2 π r where r is the radius of the circle
NCERT Solutions of Class 10 Mathematics Chapter 13: Surface Areas and Volumes
This NCERT Solutions for class 10 Mathematics chapter 13 has five tasks. You can learn how to calculate the surface area of a cuboid, cone, sphere, cylinder, and hemisphere, among other things. You can learn about surface areas and volumes of combinations of any object from this NCERT solution for class 10-Mathematics chapter 13 Surface Areas and Volumes. Surface areas and volumes of cubes, cuboids, spheres, hemispheres, cones, and right circular cylinders are studied in this chapter. , for example, problems with solids that are not more than two separate solids. Other topics ask about the transformation of one shape into another. This chapter also covers how to calculate the volume, curved surface area, and total surface area of a cone’s frustum.
Important formulas for the students to note:
- Diameter of sphere = 2r
- Volume of Cylinder = π r2 h
- Volume of cone = ⅓ π r2 h
- Total surface area of cuboid = 2(lb + bah + he)
- Volume of Cuboid = l × b × h
NCERT Solutions of Class 10 Mathematics Chapter 14: Statistics
In this NCERT Chapter, you will learn how to convert ungrouped data to grouped data numerically and how to calculate the Mean, Mode, and Median. Cumulative frequency, cumulative frequency distribution, draw cumulative frequency curves, Cumulative frequency graph, and other topics are covered in this NCERT solution for class 10 Mathematics chapter 14 Statistics.
NCERT Solutions of Class 10 Mathematics Chapter 15: Probability
In this last NCERT Solutions for Class 10 Mathematics chapter 15, you will learn about Probability, and you will understand the definition of probability at the beginning of the chapter. This chapter has two exercises. NCERT Solutions for chapter 15 of Mathematics for class 10 the idea of probability, simple tasks for determining the probability of an event, the distinction between experimental and theoretical probability, and other topics are covered in probability. Probability is also an extremely important chapter for students to concentrate on because it will be studied further and new subjects will be introduced in future lessons.
NCERT Solutions of Class 10 Mathematics All Chapters
All chapters of NCERT Mathematics Class 10 solutions are listed below. Students can get Class 10 Mathematics NCERT chapter-by-chapter solutions by clicking on the link for the appropriate chapter number.
| PDF Links for all chapters | Download PDF |
| Chapter 1: Real Numbers | Download Link |
| Chapter 2: Polynomials | Download Link |
| Chapter 3: Pair of Linear Equations in Two Variables | Download Link |
| Chapter 4: Quadratic Equations | Download Link |
| Chapter 5: Arithmetic Progressions | Download Link |
| Chapter 6: Triangles | Download Link |
| Chapter 7: Coordinate Geometry | Download Link |
| Chapter 8: Introduction to Trigonometry | Download Link |
| Chapter 9: Some Applications of Trigonometry | Download Link |
| Chapter 10: Circles | Download Link |
| Chapter 11: Constructions | Download Link |
| Chapter 12: Areas Related To Circles | Download Link |
| Chapter 13: Surface Areas and Volumes | Download Link |
| Chapter 14: Statistics | Download Link |
| Chapter 15: Probability | Download Link |
Other Important Links on CBSE Class 10
Frequently Asked Questions
Has CBSE released the Class 10 2027 date sheet?
No. As of 04 Sep 2026, CBSE has not released the Class 10 2027 date sheet. Based on previous years, it is tentatively expected around December 2026–January 2027.
Where can I download the CBSE Class 10 syllabus for 2026-27?
The official 2026-27 curriculum and syllabus are available on cbseacademic.nic.in under the 'Curriculum' section. This is the authoritative source for Class 10 2027 preparation.
Will the CBSE Class 10 2027 exam pattern change?
No official change to the exam pattern has been announced yet. Until CBSE issues a formal notification, students should follow the existing pattern used in 2025-26.
When will CBSE Class 10 2027 board exams be held?
No official dates have been announced yet. Based on previous-year patterns, written board exams are tentatively expected in February–March 2027.
Are NCERT solutions sufficient for CBSE Class 10 2027 board exams?
NCERT textbooks form the primary base for CBSE Class 10 exams. Students should study all NCERT chapters thoroughly and refer to the official 2026-27 syllabus on cbseacademic.nic.in for weightage.
When will CBSE Class 10 2027 admit cards be released?
Admit cards are typically released about 3–4 weeks before the exam. Tentatively, they may be available in January–February 2027, but no official date has been confirmed yet.
When are CBSE Class 10 2027 results expected?
Based on previous-year patterns, CBSE Class 10 results are tentatively expected in May–June 2027. No official announcement has been made as of 04 Sep 2026.
Has CBSE made any syllabus reduction for Class 10 2027?
No syllabus reduction has been officially announced for 2026-27. The full curriculum published on cbseacademic.nic.in is currently in effect and should be treated as the operative syllabus.