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Class 10 · Maths

Real NumbersPractice Questions & MCQs

Practice Real Numbers questions for Class 10 Maths - important MCQs and practice questions with answers and step-by-step solutions. Solve the sample Real Numbers questions below, then get the full set free on the RankByte app.

Topics covered

Fundamental Theorem of ArithmeticIrrational numbers and proofs of irrationalityHCF and LCM via prime factorisationDecimal expansions: terminating and recurringEuclid's lemma, fundamental theorem, irrationals, HCF/LCM

Practice Real Numbers by topic

Focused MCQ quizzes for each topic.

Decimal expansions: terminating and recurringEuclid's lemma, fundamental theorem, irrationals, HCF/LCMFundamental Theorem of ArithmeticHCF and LCM via prime factorisationIrrational numbers and proofs of irrationality

Real NumbersQuiz - Solve & Score

A few sample questions with instant answers and solutions - the full set is in the app.

  1. Q1. A baker at a flour mill wraps a string once around a circular rim and notes the value pi times the diameter. How should this number be classified?

    • A.a prime number
    • B.an integer
    • C.irrational
    • D.rational

    Answer: C. irrational

    A number is rational if it is p/q with integers p,q (q!=0), i.e. terminating or repeating; otherwise irrational. Here pi is non-terminating non-repeating, so the number is irrational.

  2. Q2. An electrician at a survey camp finds the slant of a 1-by-2 rectangle to be sqrt(5) units. How should this number be classified?

    • A.rational
    • B.irrational
    • C.an integer
    • D.a prime number

    Answer: B. irrational

    A number is rational if it is p/q with integers p,q (q!=0), i.e. terminating or repeating; otherwise irrational. Here sqrt(5) is the root of a non-perfect square, so the number is irrational.

  3. Q3. A jeweller in a foundry computes the side of a 49 square-centimetre tile as sqrt(49). How should this number be classified?

    • A.rational
    • B.an integer
    • C.a prime number
    • D.irrational

    Answer: A. rational

    A number is rational if it is p/q with integers p,q (q!=0), i.e. terminating or repeating; otherwise irrational. Here sqrt(49)=7, an integer, so the number is rational.

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Real Numbers - Frequently asked questions

Where can I find Real Numbers practice questions for Class 10 Maths?

RankByte has chapter-wise and topic-wise Real Numbers practice questions and MCQs for Class 10 Maths, each with the correct answer and a step-by-step solution - free to start.

Are these Real Numbers questions important for the exam?

Yes. These Real Numbers important questions follow the Maths exam pattern (CBSE Boards, plus JEE and NEET foundation), so they help with both school and competitive prep.

Do the Real Numbers questions come with answers and solutions?

Every Real Numbers question on RankByte comes with the correct answer and a full step-by-step solution, so you learn from each one instead of just guessing.

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