📘 Chapter 1 Real Numbers
Master Chapter 1 – Real Numbers with comprehensive study notes, video lessons, NCERT solutions, MCQs, PYQs, competency-based questions, formula sheets, and practice worksheets. Everything you need to prepare confidently for the CBSE Class 10 Mathematics exam is available in one place.

Last Updated
Last Updated: July 2026
Based on the latest CBSE 2026–27 syllabus
Table of Contents
What's Included
📹
Complete Video Lesson
Step-by-step video lessons covering every concept based on the latest CBSE syllabus.
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📄
Study Notes
Comprehensive notes with explanations, solved examples, and important concepts.
📖 Open Resource ➜
🧠
Mind Map
Visual chapter summary for quick revision of important concepts and formulas.
📖 Open Resource ➜
📚
Formula Sheet
Access all important formulas, revision points, and key facts for quick exam preparation.
📖 Open Resource ➜
📖
NCERT Solutions
Step-by-step solutions for every NCERT textbook exercise with clear explanations.
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📘
Exemplar Solutions
Detailed solutions for NCERT Exemplar questions to strengthen higher-order thinking.
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❓
Important Questions
Most expected board exam questions with detailed solutions and explanations.
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🕒
PYQs
Previous Year Questions to understand the latest CBSE board exam pattern.
📖 Open Resource ➜
✔
MCQs
Chapter-wise multiple-choice questions for concept reinforcement and quick revision.
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🎯
Competency-Based Questions
Assertion & Reason and Case Study questions based on the latest CBSE pattern.
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📑
Sample Paper
Full-length CBSE sample papers for practice, speed, and exam confidence.
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✍️
Practice Worksheet
Additional practice questions to improve problem-solving skills and self-assessment.
📖 Open Resource ➜
About this Chapter
Chapter 1 – Real Numbers is the foundation of Class 10 Mathematics and introduces important concepts that are used throughout higher mathematics. In this chapter, you will learn about Euclid’s Division Lemma, Fundamental Theorem of Arithmetic, prime factorisation, HCF (Highest Common Factor), LCM (Least Common Multiple), and the decimal expansion of rational numbers. You will also understand the difference between rational and irrational numbers and learn how to determine whether the decimal expansion of a rational number is terminating or non-terminating recurring.
This chapter is highly important for the CBSE Class 10 Board Examination, as questions are regularly asked from topics such as HCF & LCM, irrational numbers, Euclid’s Division Lemma, and decimal expansions. A strong understanding of these concepts will also help you in later chapters and competitive examinations.
On this page, you’ll find everything you need to master Chapter 1 in one place, including complete video lessons, detailed study notes, formula sheets, mind maps, NCERT Textbook Solutions, NCERT Exemplar Solutions, Important Questions, Previous Year Questions (PYQs), MCQs, Competency-Based Questions (Assertion & Reason and Case Study Questions), Practice Worksheets, and Sample Papers. These resources are carefully designed according to the latest CBSE syllabus and exam pattern to help you build strong concepts, revise effectively, and prepare confidently for your board examinations.
Learning Outcomes
- Understand Euclid’s Division Lemma
- Find HCF and LCM
- Apply Fundamental Theorem of Arithmetic
- Distinguish rational and irrational numbers
- Solve CBSE questions
📄 Complete Study Notes
Download beautifully designed chapter notes with explanations, solved examples, formulas, and board exam preparation.

🧠 Chapter Mind Map
Revise the complete chapter quickly using this visual mind map.

📐 Formula Sheet
Download all important formulas and revision points for quick exam preparation.

📚 Exam Preparation Resources
Practice chapter-wise questions based on the latest CBSE exam pattern.
⭐ Important Questions
Practice the most important board exam questions with detailed solutions.
📚 Previous Year Questions
Practice previous years’ CBSE board questions to understand the latest exam pattern.

✅ Multiple Choice Questions
Revise the chapter with concept-based MCQs prepared according to the latest CBSE syllabus.

🧠 Competency-Based Questions
Strengthen conceptual understanding with competency-based questions aligned with the latest CBSE assessment pattern.

✍ Practice Worksheet
Solve additional practice questions to improve speed, accuracy, and confidence.

📘 NCERT Textbook Solutions
Access step-by-step solutions for all NCERT textbook exercises with clear explanations.

📄 Detailed Study Notes
Download beautifully designed chapter notes with explanations,examples and formulas.

📗 NCERT Exemplar Solutions
Practice higher-order thinking questions with detailed NCERT Exemplar solutions.

📝 Sample Paper
Practice full-length CBSE sample papers designed according to the latest exam pattern to improve accuracy, time management, and exam confidence.
⚡ Quick Revision
📄
Formula Sheets
Quick revision formulas
🧠
Mind Maps
Visual chapter summaries
📝
Important Questions
Most expected questions
Related Chapters
FAQ
1. Are the Chapter 1 notes available for free?
Yes. You can download the Chapter 1 study notes PDF for free and use them for revision and exam preparation.
2. Are these notes based on the CBSE 2026–27 syllabus?
Yes. All study materials are prepared according to the latest CBSE Class 10 Mathematics (2026–27) syllabus and are updated whenever required.
3. Does this page include NCERT textbook solutions?
Yes. Step-by-step NCERT textbook solutions are available to help you understand every exercise and question.
4. Are NCERT Exemplar solutions included?
Yes. Detailed NCERT Exemplar solutions are provided for additional practice and advanced problem-solving.
5. Are Previous Year Questions (PYQs) available?
Yes. This chapter includes CBSE Previous Year Questions with solutions to help you understand the latest exam pattern.
6. Does this chapter include MCQs?
Yes. Chapter-wise MCQs based on the latest CBSE exam pattern are available for quick revision and self-assessment.
7. Are competency-based questions included?
Yes. Assertion & Reason questions and Case Study Questions are included to help you prepare for competency-based assessments.
8. Can I watch the complete video lesson for this chapter?
Yes. The complete Chapter 1 video lesson is embedded on this page, and you can also watch it on our YouTube channel.
9. Is a formula sheet available for quick revision?
Yes. A chapter-wise formula sheet is available for quick revision before tests and board exams.
10. Is a mind map included for this chapter?
Yes. A visual mind map is provided to help you quickly revise the important concepts of Chapter 1.
11. Is a practice worksheet available?
Yes. You can download the practice worksheet to improve your problem-solving skills and prepare for school and board examinations.
12. How can I continue to the next chapter?
Simply click the “Next Chapter” button at the bottom of this page to continue your Class 10 Mathematics learning journey.
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