NCERT Exemplar Class 9 Mathematics | Chapter-wise PDFs for Download

The NCERT Exemplar Class 9 Maths book is an essential resource for students who want to go beyond basic concepts and develop a deeper command over the subject.

While the NCERT textbook helps you learn the fundamentals, the Exemplar challenges you with higher-level, application-driven questions that strengthen reasoning and problem-solving abilities.

On this page, you’ll get access to chapter-wise NCERT Class 9 Maths Exemplar PDFs along with helpful insights into important questions, solved examples, and smart preparation strategies.

Class 9 NCERT Maths Exemplar PDF (with Chapters)

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NCERT Exemplar Class 9: Overview 

The NCERT Exemplar Class 9 Maths book is a supplementary practice book published by NCERT to help students strengthen their understanding of mathematical concepts.

The Exemplar provides additional questions that go beyond the standard NCERT textbook exercises and focus more on conceptual clarity and application.

These questions are designed to help students practice higher-order thinking and problem-solving, which are important for school exams and future competitive studies.

NCERT Class 9 Maths Exemplar: Major Highlights  

• Covers all chapters from the NCERT Class 9 Mathematics syllabus.
• Includes a variety of question types such as MCQs, very short answer questions, short answer questions, and long answer problems.
• Helps students practice concept-based and analytical questions rather than only direct formula-based problems.
• Improves logical reasoning and mathematical thinking skills.
• Often recommended by teachers for extra practice and exam preparation.

The NCERT Class 9 Maths Exemplar PDF is available in both full-book format and chapter-wise downloads, allowing students to practice specific chapters after completing them from the textbook. 

Latest Updates in NCERT Exemplar Class 9 Maths

There are no changes in the NCERT Exemplar Class 9 Maths for the academic year 2026–27. The content, question types, and structure remain the same as previous years.

However, its relevance continues to grow in line with the academic direction of the National Council of Educational Research and Training and Central Board of Secondary Education, especially for strengthening conceptual understanding and problem-solving skills.

Alignment with CBSE Competency-Based Pattern

• Questions focus on application of concepts rather than direct formula use.
• Encourages analytical thinking and multi-step problem-solving.
• Includes a mix of objective and descriptive questions similar to current exam patterns.
• Helps students move from basic understanding to application-based learning.

Focus on HOTS and Application-Based Questions

• Questions  include Higher Order Thinking Skills (HOTS).
• Many problems require deep conceptual clarity and logical reasoning.
• Covers multi-concept and step-based questions across chapters.
• Promotes real-life application of mathematical concepts.
• Strengthens overall problem-solving ability without any change in content.

Importance for Board Exam Preparation

• Acts as a bridge between Class 9 fundamentals and Class 10 board-level difficulty.
• Helps build strong conceptual clarity for future exams.
• Improves accuracy, speed, and confidence through regular practice.
• Reflects the level and type of questions expected in exams.
• Widely used for revision, practice, and exam preparation under the Central Board of Secondary Education framework.

NCERT Maths Chapter-wise Exemplar Questions

The NCERT Class 9 Maths Exemplar contains a mix of multiple-choice questions, very short answer questions, short answer problems, and long analytical problems. 

These questions are designed to test conceptual understanding rather than simple formula application. Practicing them helps students improve logical thinking and prepares them for complex exam questions. 

Below are some questions with solutions from NCERT Class 9 Maths Exemplar: 

Number System

Q1: Express 0.333… in the form of p/q.

Solution: Let x = 0.333…

10x = 3.333…

Subtract the first equation from the second:

10x − x = 3.333… − 0.333…

9x = 3

x = 3/9 = 1/3

Therefore, 0.333… = 1/3

Polynomials

Q2. Find the value of k if (x − 2) is a factor of the polynomial P(x) = x³ − 4x² + kx − 8.

Solution: If (x − 2) is a factor, then:

P(2) = 0

Substitute x = 2:

2³ − 4(2²) + 2k − 8 = 0

8 − 16 + 2k − 8 = 0

−16 + 2k = 0

2k = 16

k = 8

Coordinate Geometry

Q3. Find the distance between the points A(2,3) and B(5,7).

Solution: Distance formula:

Distance = √[(x₂ − x₁)² + (y₂ − y₁)²]

= √[(5 − 2)² + (7 − 3)²]

= √[3² + 4²]

= √(9 + 16)

= √25

Distance = 5 units

Triangles

Q4. State whether the following statement is true or false: “The angles opposite equal sides of an isosceles triangle are equal.”

Solution: This statement is true.

In an isosceles triangle, two sides are equal. According to the isosceles triangle theorem, the angles opposite those equal sides are also equal.

Statistics

Question: Find the mean of the following data:

x: 2, 4, 6, 8, 10 | f: 3, 5, 2, 4, 1

Solution: Sum of frequencies (Σf)

= 3 + 5 + 2 + 4 + 1
= 15

Calculate Σfx:

2×3 = 6
4×5 = 20
6×2 = 12
8×4 = 32
10×1 = 10

Σfx = 6 + 20 + 12 + 32 + 10
Σfx = 80

Mean = Σfx / Σf
Mean = 80 / 15
Mean = 5.33

NCERT Exemplar Maths v/s NCERT Textbook

Understanding the difference between the NCERT Textbook and Class 9 NCERT Exemplar is essential if you want to prepare strategically. While both are important, they serve different purposes in your Maths preparation.

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For the best results, start with the NCERT textbook to understand the basics, and then move on to the Exemplar to truly master the subject.

Why Toppers Always Practice NCERT Exemplar Questions

Students who consistently score high in Maths usually go beyond the textbook. One resource they almost always rely on is the NCERT Exemplar. These questions are designed to push students to think deeper and apply concepts in different ways.

1. They expose you to tougher questions early. Toppers use Exemplar problems to prepare for questions that are slightly more challenging than standard textbook exercises.
2. They train your brain to think logically. Many Exemplar questions require step-by-step reasoning rather than direct formula application.
3. They strengthen concept clarity. Instead of memorizing methods, Exemplar problems force you to understand why a solution works.
4. They prepare you for unexpected exam questions. Exemplar problems often resemble the tricky questions teachers include in tests.
5. They improve speed and accuracy. Practicing varied question types helps toppers solve problems faster during exams.
6. They build confidence in difficult chapters. Once you can solve Exemplar questions, regular exam questions feel much easier.

A Simple Study Plan to Finish the Maths Exemplar Book

Many students download the NCERT Maths Exemplar Class 9 but never finish it because they don’t have a clear plan. Instead of trying to solve everything at once, a smart and structured approach can help you complete the book without feeling overwhelmed.

• Start after finishing the NCERT chapter: Solve Exemplar questions only after you fully understand the textbook concepts.
• Divide the book into weekly targets: Aim to complete 2–3 chapters every week instead of rushing through the entire book.
• Begin with MCQs and short questions: These warm up your thinking before you attempt longer analytical problems.
• Mark the toughest questions: Use a star or highlight to revisit challenging problems during revision.
• Re-solve difficult questions after a few days: This strengthens memory and problem-solving confidence.
• Use Exemplar questions for revision tests: Pick random problems from different chapters to simulate exam-style practice.

FAQs

Q1. What is NCERT Exemplar for Class 9 Maths?

Ans. NCERT Exemplar Class 9 Maths is a supplementary practice book published by NCERT that contains advanced and higher-order thinking questions based on the NCERT syllabus.

Q2. Are NCERT Exemplar questions important for Class 9 exams?

Ans. Yes. Exemplar questions help students practice conceptual and application-based problems, which improves problem-solving skills and exam performance.

Q3. Is the NCERT Class 9 Maths Exemplar PDF available chapter-wise?

Ans. Yes. Students can download the Exemplar book either as a full PDF or as chapter-wise PDFs for easier study.

Q4. Are Exemplar questions harder than NCERT textbook questions?

Ans. Generally, yes. Exemplar questions are designed to be slightly more challenging and focus on deeper conceptual understanding.

Q5. Should students solve the NCERT Exemplar after completing the textbook?

Ans. Yes. It is recommended to first complete the NCERT textbook exercises and then practice Exemplar questions for better mastery of concepts.