CBSE 10 Math · U1
Number Systems
CBSE Class 10 Mathematics Unit I: Fundamental Theorem of Arithmetic, HCF-LCM applications, prime-power reasoning, and algebraic proofs of irrationality.
Test yourself
A focused, distraction-free run through 33 multiple-choice questions. Hints if you need them; your score at the end.
Difficulty guide
The label describes the problem, not your ability.
1/5 - Foundational
Warm-up setup; checks one basic idea.
2/5 - Routine exam skill
Normal syllabus skill; usually one main rule or interpretation.
3/5 - Standard multi-step
Exam-style problem with multiple steps or a common trap.
4/5 - Hard exam skill
High-end exam problem; combines methods carefully.
5/5 - Challenge
Stretch problem beyond normal exam pressure.
Topic 1.1
Prime Factorisation and HCF-LCM
Fundamental Theorem of Arithmetic, prime powers, HCF and LCM by factorisation.
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Topic 1.2
Applications of the Fundamental Theorem
Least common multiples, greatest common factors, square conditions, and divisibility arguments.
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Topic 1.3
Irrationality Proofs
Algebraic proofs of irrationality for square roots and related surd expressions.
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