Welcome students! This updated 2025 version of CBSE Sample Papers for Class 9 Maths Set 1 (Solved) provides you with complete step-by-step solutions, question paper pattern, marking scheme, and practice strategies to help you score full marks in CBSE Class 9 Mathematics. The explanations are easy to follow, designed like a personal tutor guiding you toward success.
This solved paper follows the latest CBSE 2025 pattern for Class 9 Mathematics. You’ll find objective, short, and long answer questions with step-by-step solutions. The paper tests your conceptual clarity, logical reasoning, and accuracy across all topics prescribed in the NCERT Class 9 Maths textbook.
By practicing this paper, students can understand the types of questions, marks distribution, and time management required in the annual exam.
CBSE Class 9 Maths — Question Paper Design (2025–26)
The CBSE Class 9 Maths Sample Papers (2025–26) give students a clear understanding of the latest exam format, question pattern, and marking scheme prescribed by the Central Board of Secondary Education. These papers follow the official blueprint released by CBSE, ensuring full alignment with the NCERT Class 9 Mathematics syllabus. The tables below present a detailed breakdown of question types, section-wise marks distribution, and unit-wise weightage to help students prepare strategically.
By analyzing this structure, learners can focus on high-weightage chapters like Algebra, Geometry, and Mensuration, while also revising conceptual topics such as Statistics and Number Systems. The inclusion of internal assessment components further encourages practical understanding and consistent learning throughout the year. With this organized design, students can manage time efficiently in the exam and strengthen their problem-solving approach to score maximum marks in Class 9 Maths.
| Section | Topology of Questions | Question Nos. | No. of Qs | Marks |
|---|---|---|---|---|
| Section A | MCQs | 1–18 | 18 | 20 |
| — | Assertion & Reason | 19–20 | 2 | — (part of Sec A total) |
| Section B | VSAQ | 21–25 | 5 | 10 |
| Section C | SAQ | 26–31 | 6 | 18 |
| Section D | LAQ | 32–35 | 4 | 20 |
| Section E | Case-based Questions | 36–38 | 3 | 12 |
| Total | 38 Questions | 80 Marks | ||
Unit-wise Weightage
| Unit Name | Marks |
|---|---|
| Unit I — Number Systems | 10 |
| Unit II — Algebra | 20 |
| Unit III — Coordinate Geometry | 4 |
| Unit IV — Geometry | 27 |
| Unit V — Mensuration | 13 |
| Unit VI — Statistics | 6 |
| Total | 80 |
Internal Assessment (20 Marks)
| Component | Marks |
|---|---|
| Pen-Paper Test & Multiple Assessment (5 + 5) | 10 |
| Portfolio | 5 |
| Lab Practical (as per prescribed books) | 5 |
| Total | 20 |
Typology of Questions
| Typology | Total Marks | % Weightage (approx.) |
|---|---|---|
| 1. Remembering & Understanding Recall facts/terms/concepts; interpret/compare/describe | 43 | 54 |
| 2. Applying Apply knowledge, facts, techniques, rules | 19 | 24 |
| 3. Analysing / Evaluating / Creating Analyse, judge, or compile information in new patterns | 18 | 22 |
| Total | 80 | 100 |
Class IX — Sample Question Papers & Syllabus
Class X — Sample Question Papers & Syllabus
Sample Question Paper – Additional Subjects (Class IX & X)
| Subject | Link |
|---|---|
| Painting | Open |
| Home Science | Open |
| Music | Open |
| Punjabi (Class IX) | Open |
| German (Class IX) | Open |
| Japanese (Class IX) | Open |
| Russian (Class IX) | Open |
| Spanish (Class IX) | Open |
| Persian (Class IX) | Open |
| Foundation of Information Technology (Class IX) | Open |
| Foundation of Information Technology (Class X) | Open |
| Bhutia (Class IX & X) | Open |
| Kannada (Class IX & X) | Open |
| Lepcha (Class IX & X) | Open |
| Limbo (Class IX & X) | Open |
| Malayalam (Class IX & X) | Open |
| Nepali (Class IX & X) | Open |
| Odiya (Class IX & X) | Open |
| Tibetan (Class IX & X) | Open |
| Bengali (Class IX) | Open |
| Gujarati (Class IX) | Open |
| Marathi (Class IX) | Open |
| Sindhi (Class IX) | Open |
| French (Class IX) | Open |
| Arabic (Class IX) | Open |
| Arabic (Class X) | Open |
| Urdu Course A (Class IX) | Open |
| Urdu Course B (Class IX) | Open |
| Urdu Course B (Class X) | Open |
| Telugu (Class IX) | Open |
| Telugu (Class X) | Open |
| Tamil (Class IX) | Open |
| Tamil (Class X) | Open |
Guidelines — Class IX & X
Detailed Explanation (Pattern and Structure)
1) Paper Overview
| Particulars | Details (2025 Exam) |
|---|---|
| Total Marks | 80 (Theory) + 20 (Internal Assessment) |
| Time Allotted | 3 Hours |
| Number of Questions | 30 (divided into 4 sections) |
| Exam Board | Central Board of Secondary Education (CBSE) |
2) Question Paper Sections
- Section A: 1-mark very short answer questions (MCQs, fill in the blanks).
- Section B: 2-mark short answer questions – conceptual testing.
- Section C: 3-mark questions – problem-solving and reasoning.
- Section D: 4-mark long answer questions – step-by-step solutions required.
3) Chapters Covered (as per NCERT Syllabus 2025)
| Unit | Chapter Name | Marks Weightage |
|---|---|---|
| 1 | Number Systems | 6 |
| 2 | Polynomials | 8 |
| 3 | Coordinate Geometry | 4 |
| 4 | Linear Equations in Two Variables | 8 |
| 5 | Introduction to Euclid’s Geometry | 4 |
| 6 | Triangles | 8 |
| 7 | Quadrilaterals & Circles | 8 |
| 8 | Heron’s Formula | 4 |
| 9 | Surface Areas and Volumes | 6 |
| 10 | Statistics & Probability | 8 |
4) Marking Scheme
- Each question must include steps and reasoning to secure full marks.
- Diagrams and unit representations are crucial for geometry and mensuration questions.
- No marks for direct final answer without showing calculation steps.
Example or Analogy (How to Approach the Paper)
Think of your sample paper like a “mock match” before the finals 🎯. Just as a cricketer practices before the big game, solving sample papers helps you identify your strengths and weaknesses. The more you practice, the better your accuracy, timing, and confidence become during the real exam.
Example Question (from 2025 Pattern)
Q: Find the value of \(k\) if \(x^2 + kx + 8 = 0\) has equal roots.
\( D = b^2 – 4ac = 0 \Rightarrow k^2 – 4(1)(8) = 0 \Rightarrow k^2 = 32 \Rightarrow k = \pm 4\sqrt{2} \)
Answer: \(k = \pm 4\sqrt{2}\)
Important Formulas / Facts
- Heron’s Formula: \( \text{Area} = \sqrt{s(s-a)(s-b)(s-c)} \)
- Distance Formula: \( d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \)
- Equation of Line: \( y = mx + c \)
- Pythagoras Theorem: \( a^2 + b^2 = c^2 \)
- Mean: \( \bar{x} = \frac{\sum f_i x_i}{\sum f_i} \)
- Probability: \( P(E) = \frac{\text{Favourable Outcomes}}{\text{Total Outcomes}} \)
Quick Quiz (2 Questions)
- The sum of two consecutive integers is 37. Find the integers.
- If the mean of 5 observations is 20 and their sum is reduced by 20, what will be the new mean?
Answer Key
- Let integers be \(x\) and \(x+1\). \(x + x + 1 = 37 \Rightarrow 2x = 36 \Rightarrow x = 18\). So, numbers are 18 and 19.
- Old sum = \(5 \times 20 = 100\). New sum = 100 − 20 = 80 ⇒ New mean = 80 ÷ 5 = 16.
Download Class 9 Maths Sample Paper PDF (2025)
You can download the Class 9 Maths Sample Paper (Set 1) Solved PDF 2025 directly from NCERTBooks.net for offline revision.
| Paper Type | Download Link |
|---|---|
| Class 9 Maths Sample Paper Set 1 (Solved) | Download PDF |
| NCERT Class 9 Maths Book (Latest Edition) | Get Here |