Physics Wallah
banner

CBSE Class 10 Maths Chapter 1 Real Numbers Syllabus 2026–27

Learn how to solve common Class 10 Maths questions like “How to find HCF using Euclid’s algorithm?”, “What is the relation between HCF and LCM?”, and “How to identify terminating decimals?”. This chapter builds clarity on real number concepts so you can tackle exam problems accurately and faster.
authorImageAnshika Agarwal6 May, 2026
CBSE Class 10 Maths Chapter 3

 

The Real Numbers chapter introduces fundamental concepts related to number systems, divisibility, and prime factorisation. It helps you understand how numbers are aligned and how they behave under different mathematical operations. This chapter includes important ideas such as Euclid’s Division Lemma, HCF and LCM, and the Fundamental Theorem of Arithmetic.

These concepts are essential for building a strong base in Class 10 Maths. A clear understanding of Real Numbers improves your problem-solving skills and helps you apply logical methods to solve questions. It is an important chapter that supports many advanced topics in mathematics and board exam preparation.

What Will You Learn in Real Numbers?

The following are the main concepts you will study in this chapter:

  • Understand basic concepts of real numbers and their properties

  • Learn Euclid’s Division Algorithm to find HCF

  • Know the relationship between HCF and LCM

  • Study the Fundamental Theorem of Arithmetic

  • Learn prime factorisation of numbers

  • Understand decimal expansion of rational numbers (terminating & non-terminating) 

CBSE Class 10 Real Numbers Topics: Detailed Breakdown

Knowing the CBSE class 10th Maths syllabus makes preparation more focused. The following topics give a complete overview of the Real Numbers chapter.

Topic

Description

Euclid’s Division Lemma

Relationship between dividend, divisor, quotient, and remainder

Euclid’s Division Algorithm

Method to find the HCF of two numbers

Fundamental Theorem of Arithmetic

Expressing numbers as the product of prime factors

HCF and LCM

Finding the highest common factor and the least common multiple

Decimal Expansion of Rational Numbers

Terminating and non-terminating decimals

 

Important Topics in Chapter 1 Real Numbers 

During revision, it is important to focus on high-weightage concepts. The following topics from the Real Numbers chapter are important for exams.

  • Euclid’s Division Algorithm

  • Fundamental Theorem of Arithmetic

  • HCF and LCM

  • Decimal expansion of rational numbers

To ensure alignment with the latest CBSE guidelines and optimise your preparation, it is recommended to review the updated list of deleted topics for Class 10 Maths and focus only on the currently prescribed syllabus. 

Also Check: Class 10 Real Numbers NCERT Solutions

How to Strengthen Your Preparation for CBSE Class 10 Maths Exams?

Strong preparation in Class 10 Maths requires a balance of concept clarity, regular practice, and consistent revision. Focusing on the right resources and practising in an exam-oriented manner can help improve both accuracy and confidence.

  • Build clear concepts across all topics:
    Focus on understanding key concepts from the CBSE Class 10 Maths syllabus to solve different types of questions with confidence.

  • Practise NCERT questions thoroughly:
    Solve all Class 10 Maths NCERT questions multiple times, as they form the base of board exam preparation.

  • Revise formulas and identities regularly:
    Keep revising important formulas in Class 10 Maths to improve speed and reduce calculation errors.

  • Solve Previous Year Questions (PYQs):
    Practising CBSE Class 10 Maths PYQs helps you understand exam patterns and frequently asked questions.

  • Attempt sample papers consistently:
    Solve Class 10 Maths sample papers to improve time management and get familiar with the exam format.

  • Focus on important questions:
    Practise Class 10 Maths Most Important Questions (MIQs) to cover high-weightage topics effectively.

 

Chapter 1 Real Numbers FAQs

1. What topics are included in Real Numbers?

The Real Numbers chapter includes Euclid’s Division Lemma, HCF, LCM, and the Fundamental Theorem of Arithmetic. It also covers prime factorisation and the decimal expansion of rational numbers.

2. What is the weightage of Real Numbers in Class 10 Maths?

The Real Numbers chapter usually carries around 4–6 marks in the Class 10 Maths board exam. The exact weightage may vary slightly each year based on the paper pattern.

3. Are there any deleted topics in the real number chapter?

No, there are no major concept-level deletions in the Real Numbers chapter for CBSE Class 10 (2026). However, only minor parts or detailed explanations may be reduced, while the main concepts are still included in the syllabus.

4. How to prepare Real Numbers effectively?

Focus on understanding key concepts like Euclid’s Division Algorithm, HCF–LCM, and the Fundamental Theorem of Arithmetic. Practice NCERT questions and previous year papers regularly to strengthen accuracy and speed.
banner
banner
banner
banner
Free Learning Resources
Know about Physics Wallah
Physics Wallah is an Indian edtech platform that provides accessible & comprehensive learning experiences to students from Class 6th to postgraduate level. We also provide extensive NCERT solutions, sample paper, NEET, JEE Mains, BITSAT previous year papers & more such resources to students. Physics Wallah also caters to over 3.5 million registered students and over 78 lakh+ Youtube subscribers with 4.8 rating on its app.
We Stand Out because
We provide students with intensive courses with India’s qualified & experienced faculties & mentors. PW strives to make the learning experience comprehensive and accessible for students of all sections of society. We believe in empowering every single student who couldn't dream of a good career in engineering and medical field earlier.
Our Key Focus Areas
Physics Wallah's main focus is to make the learning experience as economical as possible for all students. With our affordable courses like Lakshya, Udaan and Arjuna and many others, we have been able to provide a platform for lakhs of aspirants. From providing Chemistry, Maths, Physics formula to giving e-books of eminent authors like RD Sharma, RS Aggarwal and Lakhmir Singh, PW focuses on every single student's need for preparation.
What Makes Us Different
Physics Wallah strives to develop a comprehensive pedagogical structure for students, where they get a state-of-the-art learning experience with study material and resources. Apart from catering students preparing for JEE Mains and NEET, PW also provides study material for each state board like Uttar Pradesh, Bihar, and others

Copyright © 2026 Physicswallah Limited All rights reserved.