CBSE Class 10 Maths – Real Numbers

Real Numbers is the opening unit of the CBSE Class 10 Mathematics syllabus carrying 6 board marks. It covers prime factorization via the Fundamental Theorem of Arithmetic, HCF and LCM relationships, and formal deductive proofs of irrationality for square roots of prime numbers.

The chapter covers the Fundamental Theorem of Arithmetic, calculating HCF and LCM using prime factorization, verifying HCF × LCM = a × b, and proving that numbers like √2, √3, √5, and expressions like 3 + 2√5 are irrational.

Students should practise writing complete step-by-step proofs of irrationality by contradiction, finding HCF and LCM of multi-digit integers, and solving situational word problems involving maximum capacity, minimum steps, or circular intervals.

TutorVertex provides curated chapter-wise important questions for Real Numbers, covering essential NCERT problem types, board mark-scheme criteria, and exam-focused practice.