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NCERT Exemplar Class 9 Mathematics Problem Solution PDF

November 14, 2025

Mathematics is often perceived as a challenging subject by students. However, with the right resources and a clear understanding, excelling in math becomes much easier. One of the best resources for Class 9 students is the NCERT Exemplar Class 9 Maths. This book is designed to help students understand concepts thoroughly, offering advanced problems and detailed solutions to ensure a good grasp in mathematics. 

We have provided all the links to the complete Class 9 NCERT Mathematics Exemplar book and chapter-wise PDF files in the table below. You can download these files easily without any login information.

Class 9 Mathematics NCERT Exemplar Book PDF

Class 9 Mathematics NCERT Exemplar Chapters

Chapters PDF Downloads
Chapter 1 Number Systems
Chapter 2 Polynomials
Chapter 3 Coordinate Geometry
Chapter 4 Linear Equations in One Variable
Chapter 5 Introduction to Euclid's Geometry
Chapter 6 Lines and Angles
Chapter 7 Triangles
Chapter 8 Quadrilaterals
Chapter 9 Areas of Parallelograms and Triangles
Chapter 10 Circles
Chapter 11 Constructions
Chapter 12 Heron's Formula
Chapter 13 Surface Areas and Volumes
Chapter 14 Statistics and Probability
Answers

You can get access to other subjects NCERT Exemplar PDF of class 9 by <green> clicking here <green>.

Why is NCERT Exemplar Class 9 Maths Important?

The NCERT Maths Exemplar Class 9  is a valuable resource for students, offering a wealth of challenging questions and intricate problems that foster critical thinking.

  • While the NCERT textbook provides a foundation, the Exemplar book extends its scope by offering challenging problems that test students' understanding of the subject.
  • The problems in the Exemplar book are framed in a way that encourages students to apply concepts rather than just memorise formulas.
  • The questions in the NCERT Exemplar are designed keeping competitive exams like the NTSE (National Talent Search Examination) and Olympiads in mind. Practicing these problems prepares students for higher-level math.
  • The book encourages students to think critically and helps build a solid foundation for higher grades.
  • The solutions provide clear and concise explanations, ensuring students understand the logic behind each problem.
  • Rather than just showing the final answer, the solutions guide students through each step of the problem-solving process.
  • Instead of spending hours stuck on a tough question, students can refer to the solutions, learn the approach, and move on to other topics.
  • These solutions are an excellent resource for students who prefer to self-study and improve their problem-solving skills.
  • The NCERT Exemplar offers a variety of problems, ensuring that students are well-prepared for any type of question in their exams.
  • Practicing Exemplar problems improves problem-solving speed, helping students manage their time better during exams.
  • With NCERT Exemplar solutions for class 9 math, students can cross-check their answers, helping them avoid mistakes and build confidence.

Understanding the Structure of Class 9 Maths Exemplar Solutions

The Exemplar Class 9 Maths Solutions is divided into various chapters, just like the regular NCERT textbook. However, each chapter offers a diverse range of problems, from multiple-choice questions to long-form, higher-order thinking problems. Let’s break down what you can expect:

  • Multiple-Choice Questions (MCQs): These are designed to test the students’ ability to select the correct answer from multiple options. This helps in practicing for objective-type questions often seen in competitive exams.
  • Short Answer Questions: These focus on problem-solving techniques and help students to quickly arrive at the solution.
  • Long Answer Questions: These problems require a detailed understanding of the topic and help in developing analytical skills.
  • Higher Order Thinking Skills (HOTS) Problems: These problems challenge students to think deeply and apply concepts to complex situations.

This is everything you need to know about NCERT Maths Exemplar Class 9 Solutions.

The class 9 maths exemplar solutions is filled with advanced problems, but solving them can sometimes be challenging. These solutions aid students in understanding the step-by-step process involved in arriving at the correct answer.

Students can either refer to a solution book or access NCERT exemplar class 9 math solutions online. Many platforms offer NCERT Exemplar problem solutions for class 9 math, which provide detailed explanations for each problem.

NCERT Exemplar Class 9 Maths Solutions PDF: Easy Access

Students today prefer digital learning resources. Thankfully, Exemplar Class 9 Maths Solution PDFs are easily available online. The PDF versions of the NCERT Exemplar are convenient to access, allowing students to study on the go. These PDFs contain the same questions as the book, and students can download them to practice anywhere, anytime.

If you're looking for the Class 9 Maths Exemplar Solutions PDF, several educational websites and official NCERT platforms offer free downloads. This makes it easier for students to revise topics whenever needed.

How do I use the NCERT exemplar for Class 9 math? 

To get the most out of the exemplar class 9 maths solutions, follow these tips:

  • Before jumping to the solutions, always attempt the problems on your own. This will help you identify your weak areas.
  • Use the solutions to cross-check your answers and understand where you went wrong.
  • Before exams, go through the solutions to revise the most complex problems quickly.
  • If you make a mistake, try to figure out why. Is it a conceptual error, or did you overlook a step? Understanding your mistakes is key to improving.

The NCERT Exemplar Class 9 is an invaluable resource for students aiming to excel in mathematics. Its wide range of advanced problems encourages deeper understanding and prepares students for both school exams and competitive tests. By practicing regularly and referring to class 9 math NCERT Exemplar solutions, students can build a strong mathematical foundation that will benefit them in higher grades and competitive exams.

FAQs

1. How does the Class 9 Maths NCERT Exemplar's difficulty compare to the standard textbook exercises?

The Exemplar is significantly more challenging. While the standard textbook focuses on routine application of formulas, the Exemplar includes complex, multi-step problems and Higher Order Thinking Skills (HOTS) questions that require creativity and a deeper understanding of mathematical concepts.

2. Where can I find highly accurate solutions for the tricky geometry proofs in the Exemplar?

Reliable solutions that provide rigorous, step-by-step logical proofs and justifications for the complex geometry problems are typically available in supplementary guidebooks from reputable educational publishers or via school-provided academic resources.

3. Does the Exemplar book contain practical activity-based questions related to the Maths lab manual?

Yes, the Exemplar often integrates problem-solving with practical mathematics, featuring questions that relate directly to activities in the CBSE Maths Lab Manual, encouraging a hands-on understanding of geometrical theorems and statistical concepts.

4. Which units of the Class 9 Maths syllabus have the most challenging problems in the Exemplar?

Geometry (especially Triangles, Quadrilaterals, and Circles) typically features the most complex and analytical problems in the Exemplar, requiring a strong grasp of theorems and deductive reasoning. The Algebra unit also presents challenging polynomial and factorization problems.

5. Is solving the NCERT Exemplar necessary to score 90%+ in the Class 9 Maths final examination?

While the main NCERT textbook is essential, solving the Exemplar is highly recommended for aiming for top scores (90%+). It provides exposure to the kind of complex, non-standard questions that often appear in the final CBSE examinations.

6. Are the solutions in the official NCERT Exemplar book itself, or do I need a separate book?

The official NCERT Exemplar book only contains the questions for practice. You will need a separate, commercially available solution manual or an online academic resource to access the detailed, worked-out answers and explanations.

7. How does solving the Exemplar improve conceptual clarity in topics like Number Systems or Statistics?

The problems in the Exemplar require a meticulous application of rules for rationalization, exponents, and statistical formulas (mean, median, mode). This forces students to understand the why behind the math, rather than just the how of the calculation.

8. How current are the Exemplar problems with respect to the latest CBSE rationalized syllabus for 2025-26?

The NCERT aligns its resources with the current curriculum. Students should ensure they are using a recent edition of the Exemplar or a solution guide that respects the official 2025-26 CBSE syllabus, specifically noting any topics that may have been removed from the rationalized NCERT textbooks.

9. What unique formats, besides standard Q&A, are present in the Class 9 Maths Exemplar?

The Exemplar makes use of "True/False" with justification, "Match the Columns," grid-based problems, and "Assertion & Reason" type questions. These formats require a diverse set of problem-solving skills beyond typical numerical computation.

10. How should I use the solutions effectively to learn the process of solving, instead of just checking my answers?

Attempt every problem independently first, making a genuine effort to find the solution. Use the solution primarily as a reference guide to understand the logic or an alternative, more efficient method when you are stuck. Then, try solving a similar problem without the solution to confirm mastery.

NCERT Exemplar for Class 9

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NCERT Solutions for Class 9

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