Find NCERT Solutions for all 14 chapters of Class 10 Maths, with exercise-wise answers in English and Hindi. Select a chapter below, then choose the exercise from your textbook. Earlier-edition exercises are listed separately where available; check the question before using a solution.
Class 10 Maths Chapter-wise Solutions
These textbook solutions support both Mathematics Basic and Mathematics Standard. Use the sample paper for your selected examination level when practising for the board exam.
- 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. Areas Related to Circles
- Chapter 12. Surface Areas and Volumes
- Chapter 13. Statistics
- Chapter 14. Probability
Chapter 1: Real Numbers
In Class 10 Maths Chapter 1, Practise prime factorisation, HCF and LCM and proofs of irrationality using the Fundamental Theorem of Arithmetic. Choose the exercise matching your textbook below.
English Medium
हिंदी मीडियम
Earlier NCERT Edition
Chapter 2: Polynomials
Find the zeroes of polynomials in Chapter 2 and explore how they relate to the coefficients of a quadratic polynomial.
English Medium
हिंदी मीडियम
Earlier NCERT Edition
Chapter 3: Pair of Linear Equations in Two Variables
In chapter 3 solve pairs of linear equations by substitution and elimination, and interpret their solutions graphically.
English Medium
हिंदी मीडियम
Earlier NCERT Edition
Chapter 4: Quadratic Equations
Solve quadratic equations by factorisation and the quadratic formula. Use the discriminant to identify the nature of their roots in Class 10 Maths chapter 4.
English Medium
हिंदी मीडियम
Earlier NCERT Edition
Chapter 5: Arithmetic Progressions
In Class 10 Maths chapter 5, find missing terms, the nth term and the sum of an arithmetic progression, then apply these methods to word problems.
English Medium
हिंदी मीडियम
Chapter 6: Triangles
In Class 10th Maths chapter 6, explore triangle similarity and apply the Basic Proportionality Theorem to find unknown lengths.
English Medium
हिंदी मीडियम
Earlier NCERT Edition
Chapter 7: Coordinate Geometry
Use the distance and section formulae to solve problems involving points on a coordinate plane. in Class 10 Maths chapter 7.
English Medium
हिंदी मीडियम
Earlier NCERT Edition
Chapter 8: Introduction to Trigonometry
In 10th Maths chapter 8, work with trigonometric ratios, standard-angle values and identities through the exercises below.
English Medium
हिंदी मीडियम
Earlier NCERT Edition
Chapter 9: Some Applications of Trigonometry
Draw labelled diagrams and use angles of elevation and depression to solve height-and-distance problems in Class 10 Maths chapter 9.
English Medium
हिंदी मीडियम
Chapter 10: Circles
In chapter 10, study tangents to a circle and use tangent properties to calculate lengths and justify your answers.
English Medium
हिंदी मीडियम
Chapter 11: Areas Related to Circles
Calculate areas of sectors and segments in Class 10 Maths chapter 11 using diagrams to identify the regions involved.
English Medium
हिंदी मीडियम
Earlier NCERT edition – Chapter 12: Areas Related to Circles
Chapter 12: Surface Areas and Volumes
Practise finding the surface areas and volumes of combinations of solids. Select the exercise from your textbook below.
English Medium
हिंदी मीडियम
Earlier NCERT edition – Chapter 13: Surface Areas and Volumes
Chapter 13: Statistics
In chapter 13, calculate the mean, median and mode of grouped data, showing each calculation clearly.
English Medium
हिंदी मीडियम
Earlier NCERT edition – Chapter 14: Statistics
Chapter 14: Probability
In chapter 14, Identify equally likely outcomes and calculate the probability of simple events.
English Medium
हिंदी मीडियम
Earlier NCERT Edition: Constructions
These solutions correspond to the Constructions chapter in an earlier NCERT textbook. Use them only if this chapter appears in your prescribed book.
CBSE Class 10 Maths Syllabus and Unit-wise Weightage 2026–27
CBSE specifies marks by unit rather than guaranteeing a fixed allocation to each chapter. Use the table below to plan revision, and consult the official syllabus for the topics included in your examination.
Class 10th Maths Marking Scheme
| Unit and chapters covered | Weightage (Marks) |
|---|---|
| 1. Real Numbers | 06 |
| 2. Polynomials, 3. Pair of Linear Equations, 4. Quadratic Equations, 5. Arithmetic Progression | 20 |
| 7. Coordinate Geometry | 06 |
| 6. Triangles, 10. Circles | 15 |
| 8. Introduction to Trigonometry, 9. Applications of Trigonometry | 12 |
| 11. Area Related to Circles, 12. Surface Areas and Volumes | 10 |
| 13. Statistics, 14. Probability | 11 |
| Written examination subtotal | 80 |
| Pen Paper Test and Multiple Assessment | 10 |
| Portfolio | 05 |
| Lab Practical (Lab activities to be done from the prescribed books) | 05 |
| Total | 100 |
Chapter-wise Important Questions & Previous Year Board Questions
Use these chapter-wise questions for additional practice after completing the NCERT exercises. Attempt each question independently, then compare your method with the solution.
For example: Practice chapter 1 with Board Questions of Real Numbers.
Chapter-wise Important Questions:
Class 10 Maths Sample Papers and Previous Year Questions
After completing the textbook exercises, practise an examination paper under timed conditions. Select Mathematics Basic or Mathematics Standard, then use the marking scheme to review your working.
Class 10 Maths Chapter-wise MCQ Practice
Choose a chapter to practise multiple-choice questions. Attempt each question before checking the answer, and revisit the related NCERT exercise if you make a mistake.
- Chapter 1 Real Numbers MCQ
- Chapter 2 Polynomials MCQ
- Chapter 3 Pair of Linear Equations in Two Variables MCQ
- Chapter 4 Quadratic Equations MCQ
- Chapter 5 Arithmetic Progressions MCQ
- Chapter 6 Triangles MCQ
- Chapter 7 Coordinate Geometry MCQ
- Chapter 8 Introduction to Trigonometry MCQ
- Chapter 9 Some Applications of Trigonometry MCQ
- Chapter 10 Circles MCQ
- Chapter 11 Areas Related to Circles MCQ
- Chapter 12 Surface Areas and Volumes MCQ
- Chapter 13 Statistics MCQ
- Chapter 14 Probability MCQ
Class 10 Maths – Frequently Asked Questions
Are NCERT Class 10 Maths solutions free to use?
Yes. You can read Tiwari Academy’s chapter-wise and exercise-wise Class 10 Maths solutions online free of charge.
What is the difference between Basic and Standard Maths in Class 10?
Mathematics Basic and Mathematics Standard use the same NCERT textbook and syllabus. Their examination papers differ in difficulty and assessment demand. Practise the official sample paper and marking scheme for the level you have selected.
How can I improve my problem-solving speed in Maths?
First practise solving questions accurately without a time limit. Then attempt short timed sets and review where you lose time. Revise formulas, repeat questions you answered incorrectly and practise full papers. Show the working required by the question rather than relying on unexplained shortcuts.
Why do some exercise numbers differ from my textbook?
NCERT has revised the textbook, so chapter and exercise numbering can differ between editions. Use the section matching your book and compare the question itself before opening a solution. Links marked “Earlier NCERT edition” refer to older exercises.
