CBSE Class 10 Maths Basic

Real Numbers Important Questions

Build confidence in CBSE Class 10 Maths Real Numbers with syllabus-aligned questions on the Fundamental Theorem of Arithmetic, prime factorisation, HCF-LCM applications and irrationality proofs. Attempt first, then study the board-style solution and marking logic.

Prime factorisation using Fundamental Theorem of ArithmeticHCF and LCM word-style applicationsIrrational number proof questionsCompetency and case-study applications

Topic-wise Important Questions

Fundamental Theorem of Arithmetic

Select a topic to see focused questions and related practice.

Questions

Topics

Level

Basic

1Real NumbersShort Answer

Write Euclid Division Lemma for positive integers a and b.

Answer

a = bq + r, where q and r are integers and 0 <= r < b.

Solution

Here q is quotient and r is remainder. The remainder is always less than the divisor b.

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Student FAQ

Which Real Numbers topics should Class 10 students revise first?

Revise prime factorisation, HCF-LCM relation, irrational numbers and decimal expansion first because these topics convert directly into short-answer and board-style questions.

Is this page for Maths Standard 041?

Yes. This page is specifically designed for CBSE Class 10 Mathematics Standard (041). Students enrolled in Mathematics Basic (241) should use the dedicated Basic resources.

How should students use these important questions?

Attempt each question without seeing the solution, check the answer, then mark the topic where the mistake happened. That keeps revision focused instead of random.

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Important Questions