Chapter 1
Real Numbers
Euclid's division lemma, the Fundamental Theorem of Arithmetic, HCF and LCM, and proofs of irrationality.
Syllabus source: NCERT Mathematics Class X
Study this chapter
- chapter_overviewReal Numbers Class 10 Notes: Chapter OverviewRevise real numbers, prime factors, HCF–LCM and irrationality proofs with Class 10 notes, worked examples, a worksheet and practice quiz.About 3 min read
- concept_lessonFundamental Theorem of Arithmetic: Class 10Learn prime factorisation, HCF and LCM word problems, and why HCF × LCM equals the product of two positive integers.About 3 min read
- textbook_solutionReal Numbers Exercise 1.1 Solutions: Class 10Original worked solutions for all seven question groups in NCERT Class 10 Maths Exercise 1.1, checked against the 2026–27 reprint.About 4 min read
- worksheetReal Numbers Class 10: Important Questions & Worksheet PDFPractise prime factorisation, HCF, LCM and irrationality with 10 original Class 10 questions, worked answers and a free printable worksheet.About 4 min read
Practice
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What this chapter covers
The Fundamental Theorem of Arithmetic
HCF and LCM by prime factorisation
Revisiting irrational numbers