🧮 Mathematics

    Real Numbers (HCF/LCM) Questions

    Practise real numbers (hcf/lcm) for Class 9-10 with timed rounds, instant feedback and difficulty that adapts as you play.

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    Class levels covered

    ∞

    Fresh questions each round

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    Mathematics

    What is real numbers (hcf/lcm)?

    Real numbers cover rational and irrational values, with Euclid's division lemma and the fundamental theorem of arithmetic driving HCF and LCM.

    Why it matters

    It opens the Class 10 syllabus and provides the proof techniques examiners like to test.

    Key concepts you will practise

    • Euclid's division lemma and algorithm
    • Fundamental theorem of arithmetic
    • HCF and LCM by prime factorisation
    • Proving numbers such as √2 irrational

    Tips that save marks

    • Write the prime factorisation once and read both HCF and LCM from it.
    • Irrationality proofs almost always run by contradiction.

    Question bank by class level

    • Class 9-10 · SecondaryGenerated each round

    Start practising Real Numbers (HCF/LCM)

    Frequently asked questions

    What is the fundamental theorem of arithmetic?

    Every composite number factorises into primes in exactly one way, apart from the order of the factors.

    Is every terminating decimal rational?

    Yes — it can always be written as a fraction with a power of 10 as denominator.

    More maths topics

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    ⚖️ Ratio & Proportion

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