NCERT Exemplar Class 10 Maths with Solutions (Chapter-wise PDF Download)

If you are a Class 10 student preparing for your CBSE board exams, NCERT Exemplar Problems for Mathematics is one of the most valuable resources you can use. These books go beyond the standard NCERT textbook by offering a wider range of questions, including higher-order thinking problems, application-based questions, and multiple-choice questions that are frequently referenced in CBSE exam preparation.

On this page, you will find chapter-wise PDF links for all 13 units of the Class 10 NCERT Exemplar Mathematics book. Simply click on any chapter name below to access or download the PDF for free. Whether you are revising before your board exams, practising important questions, or trying to strengthen your understanding of a particular topic, these PDFs are designed to support your studies at every stage.

Why Use NCERT Exemplar Class 10 Maths for CBSE Exam Preparation?

NCERT Exemplar books are published by the National Council of Educational Research and Training (NCERT) and are specifically crafted to challenge students beyond routine exercises. Here is why they are so widely recommended by teachers and toppers alike:

•        They cover important questions that test both conceptual clarity and application skills.

•        Each chapter includes multiple-choice questions, short-answer questions, and long-answer questions.

•        They align perfectly with the CBSE syllabus, making them ideal for board exam preparation.

•        The solved solutions help students understand step-by-step methods and marking schemes.

•        Regular practice with these PDFs can significantly improve your speed and accuracy.

We also recommend pairing these resources with the standard NCERT Class 10 Maths textbook solutions and CBSE sample papers for comprehensive preparation.

Class 10 NCERT Exemplar Maths: Chapter-wise PDF Download

Below is the complete list of all 13 chapters from the Class 10 NCERT Exemplar Mathematics book. Click on any chapter name to access the free PDF download for that unit. Each PDF contains the full set of exemplar problems along with solved solutions where available.

List of Chapters

Note: The chapter names above are linked to their respective PDFs on this page. If you cannot find a particular chapter, please check back soon as we update our resources regularly.

Brief Overview of Each Chapter

Unit 1: Real Numbers

This chapter revisits the concept of real numbers, including the Euclidean algorithm, the fundamental theorem of arithmetic, irrational numbers, and decimal expansions. The exemplar problems in this unit are particularly useful for strengthening your understanding of number theory, which is a consistent area in CBSE exams.

Unit 2: Polynomials

Unit 2 focuses on the relationship between the zeroes and coefficients of polynomials, as well as the division algorithm. The NCERT Exemplar important questions here challenge students to apply these relationships in less straightforward situations.

Unit 3: Pair of Linear Equations in Two Variables

This chapter covers graphical and algebraic methods to solve simultaneous equations. The exemplar problems include word problems and application-based questions that are commonly seen in CBSE board exams.

Unit 4: Quadratic Equations

One of the most important chapters for Class 10, Unit 4 deals with solving quadratic equations and their real-world applications. Practising the chapter-wise PDF thoroughly will help you master the discriminant method, factorisation, and the quadratic formula.

Unit 5: Arithmetic Progressions

This unit explores sequences and series, including finding the nth term and the sum of an AP. The NCERT Exemplar solved solutions for this chapter offer a variety of question types to help you gain confidence.

Unit 6: Triangles

Triangles is a geometry chapter that covers similarity, the Pythagoras theorem, and related results. The exemplar problems here include proofs and application-based questions frequently asked in CBSE exams.

Unit 7: Coordinate Geometry

This chapter covers the distance formula, section formula, and area of a triangle using coordinates. The chapter-wise PDF includes a good mix of short-answer and long-answer questions useful for revision.

Unit 8: Introduction to Trigonometry and Its Applications

Unit 8 introduces trigonometric ratios, identities, and their applications in height and distance problems. The NCERT Exemplar important questions in this chapter are among the most commonly tested in board exams.

Unit 9: Circles

This chapter deals with tangents to circles, theorems about tangent lengths, and angles. The exemplar problems include both proof-based and numerical questions.

Unit 10: Constructions

Constructions require precision and a good understanding of geometric principles. The exemplar problems here include division of a line segment, tangent constructions, and similar triangle constructions.

Unit 11: Areas Related to Circles

This unit covers the area and perimeter of sectors, segments, and combinations of plane figures. The chapter-wise PDF is excellent for revision, as these questions appear regularly in CBSE exams.

Unit 12: Surface Areas and Volumes

One of the more application-heavy chapters, Unit 12 covers surface areas and volumes of common and combined solids. The NCERT Exemplar solved solutions here are particularly helpful for understanding multi-step problems.

Unit 13: Statistics and Probability

The final chapter brings together statistics (mean, median, mode, cumulative frequency) and probability. The exemplar problems cover both theoretical and experimental probability alongside data interpretation questions.

Internal Linking Suggestions

To make the most of your CBSE exam preparation, we suggest exploring the following related resources on our website:

•        NCERT Solutions for Class 10 Maths (All Chapters)

•        CBSE Class 10 Maths Sample Papers with Solutions

•        NCERT Exemplar Problems for Class 10 Science

•        CBSE Class 10 Previous Year Question Papers

•        Class 10 Maths Important Formulas and Revision Notes

Frequently Asked Questions (FAQs)

Q1. What is NCERT Exemplar for Class 10 Maths?

NCERT Exemplar Problems is a supplementary book published by NCERT that contains higher-level questions based on the Class 10 Maths syllabus. It is designed to develop deeper conceptual understanding and problem-solving skills beyond the standard textbook.

Q2. Are NCERT Exemplar PDFs available for free download?

Yes. All chapter-wise PDFs for Class 10 NCERT Exemplar Mathematics are available for free on this page. Simply click on the chapter name you need to access or download the PDF.

Q3. Is NCERT Exemplar useful for CBSE board exam preparation?

Absolutely. NCERT Exemplar is highly recommended for CBSE board exam preparation as it includes a wide variety of question formats, including multiple-choice questions, short-answer questions, and application-based problems that go beyond what the standard textbook covers.

Q4. Does this page include solved solutions for NCERT Exemplar Class 10 Maths?

Yes, where available, the chapter-wise PDFs on this page include solved solutions to help students understand the correct method and steps required for each type of problem.

Q5. Which chapters of Class 10 NCERT Exemplar Maths are most important for CBSE exams?

While all chapters are important, Quadratic Equations, Arithmetic Progressions, Triangles, Trigonometry, and Statistics and Probability tend to carry significant weightage in CBSE Class 10 board exams. Practising the NCERT Exemplar important questions for these chapters is strongly advised.

Q6. Can I use NCERT Exemplar PDFs for last-minute revision?

Yes. The chapter-wise format makes it easy to focus on specific topics during revision. Reviewing solved solutions and attempting the important questions from each chapter can be very effective in the final weeks before your CBSE exams.

Q7. How is NCERT Exemplar different from the standard NCERT textbook?

The standard NCERT textbook covers the core curriculum with exercises aimed at all proficiency levels. NCERT Exemplar, on the other hand, is specifically designed to challenge students with more complex, application-oriented, and higher-order thinking questions. It is especially useful for students aiming for top scores.

Conclusion

The NCERT Exemplar Problems for Class 10 Mathematics is an indispensable resource for any student serious about performing well in their CBSE board exams. With 13 comprehensive chapters covering everything from Real Numbers to Statistics and Probability, these chapter-wise PDFs offer a structured and effective way to practise important questions, revise key concepts, and build confidence before your exams.

We hope this page makes it easier for you to access all the NCERT Exemplar Class 10 Maths resources you need in one place. Bookmark this page for quick access during your revision, and do explore the other study materials linked above to round off your preparation.

Best of luck with your CBSE exams!

Disclaimer

The NCERT Exemplar content referenced on this page is the intellectual property of the National Council of Educational Research and Training (NCERT), Government of India. This page has been created purely for educational purposes to help students access and navigate NCERT resources more conveniently. We do not claim ownership of any NCERT content. All rights remain with the original publishers.