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Class 8 Maths Chapter 1 MCQs on Rational Numbers with Answers

By rohit.pandey1

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Updated on 30 Aug 2025, 16:53 IST

By solving these Rational Numbers Class 8 MCQs with answers, students can revise the chapter quickly, identify weak areas, and strengthen their foundation. All questions are explained with step-by-step solutions to improve accuracy and exam readiness. For convenience, you can also download the free PDF of Class 8 Rational Numbers MCQs with answers to practice offline and revise effectively before exams.*

Solve Class 8 Maths MCQs on Rational Numbers (Chapter 1) with answers and explanations. All questions are prepared as per the latest CBSE Class 8 Maths syllabus (2025–26) and are strictly based on the NCERT textbook. These Rational Numbers Class 8 MCQs with answers are arranged chapter-wise to help students revise concepts step by step. By practicing these objective questions, students can strengthen their understanding of properties of rational numbers, improve exam preparation, and score higher marks. Students can also download the free PDF of Class 8 Rational Numbers MCQs with answers for offline practice and quick revision before exams.

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MCQs on Class 8 Maths Chapter 1 Rational Numbers

Q1. Which of the following is a rational number?
a) √2
b) π
c) 5/9
d) e
Answer: c) 5/9
Explanation: A rational number is of the form p/q, where q ≠ 0.

Q2. Is 0 a rational number?
a) Yes, it can be written as 0/1
b) No, zero is undefined
c) Only when denominator is 0
d) None
Answer: a) Yes, it can be written as 0/1

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Q3. Which property of rational numbers states that a + b = b + a?
a) Closure property
b) Commutative property
c) Associative property
d) Distributive property
Answer: b) Commutative property

Q4. The multiplicative identity for rational numbers is:
a) 0
b) 1
c) –1
d) None
Answer: b) 1

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Q5. Which of these is not a rational number?
a) 0.25
b) –7/9
c) π
d) 8/1
Answer: c) π

Q6. Rational numbers are closed under:
a) Addition and subtraction only
b) Multiplication only
c) Addition, subtraction, multiplication
d) All four operations including division (except by zero)
Answer: d) All four operations including division (except by zero)

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Q7. The additive inverse of –13/17 is:
a) –13/17
b) 17/13
c) 13/17
d) None
Answer: c) 13/17

Q8. The number –5/7 lies on the:
a) Left side of 0 on the number line
b) Right side of 0 on the number line
c) Both sides
d) Cannot be placed
Answer: a) Left side of 0

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Q9. Which of these is an equivalent rational number of –4/5?
a) –8/10
b) –6/7
c) –2/9
d) –12/7
Answer: a) –8/10

Q10. Which property is illustrated by: (3/5 + 4/7) + 2/3 = 3/5 + (4/7 + 2/3)?
a) Closure
b) Associative
c) Distributive
d) Commutative
Answer: b) Associative

Important Exam-Oriented MCQs on Rational Number

Q11. Which of the following numbers is NOT a rational number?
a) 2/7
b) –11/13
c) 0.333…
d) √5
Answer: d) √5

Q12. Which of the following is true?
a) Every integer is a rational number
b) Every rational number is an integer
c) Every irrational number is rational
d) None of the above
Answer: a) Every integer is a rational number

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Q13. Which of the following decimals is non-terminating repeating?
a) 1/4 = 0.25
b) 1/5 = 0.2
c) 1/6 = 0.1666…
d) 1/8 = 0.125
Answer: c) 1/6 = 0.1666…

Q14. Which of the following pairs represent the same rational number?
a) –7/21 and 3/9
b) –2/6 and –1/3
c) 8/–5 and –24/15
d) –12/20 and –3/5
Answer: b) and c) and d)

Q15. The decimal representation of a rational number is always:
a) Terminating
b) Non-terminating
c) Either terminating or non-terminating repeating
d) None
Answer: c) Either terminating or non-terminating repeating

Application-Based MCQs on Rational Numbers

Q16. Find six rational numbers between 3 and 4.
a) 31/10, 32/10, 33/10, 34/10, 35/10, 36/10
b) 3.1, 3.2, 3.3, 3.4, 3.5, 3.6
c) Both a and b
d) None
Answer: c) Both a and b

Q17. Find five rational numbers between 3/5 and 4/5.
a) 61/100, 62/100, 63/100, 64/100, 65/100
b) 0.61, 0.62, 0.63, 0.64, 0.65
c) Both a and b
d) None
Answer: c) Both a and b

Q18. Which of the following is correct?
a) Rational numbers are always integers
b) Every decimal is a rational number
c) Every rational number can be expressed in decimal form
d) None
Answer: c) Every rational number can be expressed in decimal form

Q19. Which of the following fractions is equal to 0.75?
a) 3/4
b) 7/9
c) 15/20
d) Both a and c
Answer: d) Both a and c

Q20. Which of these numbers lies between –3/4 and –1/2?
a) –5/6
b) –2/3
c) –7/8
d) –3/5
Answer: b) –2/3

Q21. If x = –2/3 and y = 5/7, then x + y = ?
a) –1/21
b) 1/21
c) 29/21
d) –29/21
Answer: b) 1/21

Q22. The product of (–3/4) × (16/27) = ?
a) –12/27
b) –4/9
c) –48/108
d) Both b and c
Answer: d) Both b and c

Q23. Which of the following is true for rational numbers?
a) They are finite
b) They are countable
c) They can be represented on a number line
d) All of the above
Answer: d) All of the above

Q24. Which of these is equivalent to –7/21?
a) –1/3
b) –2/3
c) –3/7
d) –5/15
Answer: a) –1/3

Q25. If a rational number is expressed as –12/16, its simplest form is:
a) –6/8
b) –3/4
c) –12/16
d) –4/6
Answer: b) –3/4

Rational Numbers Class 8 Worksheets 

To strengthen your preparation, we have also provided a Rational Numbers Class 8 Worksheet designed according to the latest CBSE syllabus. These worksheets include a variety of problems ranging from basic conceptual questions to advanced application-based exercises. Each worksheet on rational numbers for Class 8 with answers allows students to check their progress and clear doubts instantly. Solving worksheets regularly not only improves speed and accuracy but also helps in revision before exams.

Tips for Class 8 Rational Numbers MCQs

Preparing for exams with Class 8 Maths MCQs on Rational Numbers becomes easier if you follow a few smart strategies:

  • Check the form (p/q, q ≠ 0): Always confirm that the number can be written as a rational number before answering.
  • Memorise identities: Remember that 0 is the additive identity and 1 is the multiplicative identity in rational numbers.
  • Apply BODMAS carefully: Mistakes often occur in division or order of operations—practice step-by-step.
  • Revise properties regularly: Closure, commutative, associative, and distributive laws are often tested in MCQs.
  • Solve in a time limit: Attempt time-bound Class 8 Rational Numbers MCQs to build speed and accuracy for school exams and Olympiads.

These tips not only help in NCERT-based rational number MCQs for Class 8 but also improve problem-solving skills for higher classes.

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FAQs: Class 8 Chapter 1 Rational Number

What are Rational Numbers in Class 8 Maths?

Rational numbers are numbers that can be expressed in the form p/q where q ≠ 0. For example, –7/8, 3/4, and 0 (as 0/1) are rational numbers.

Are Class 8 Rational Numbers MCQs based on NCERT syllabus?

All Class 8 Maths MCQs on Rational Numbers are created strictly from the NCERT textbook and CBSE Class 8 Maths syllabus (2025–26), making them useful for exams.

Where can I get Class 8 Rational Numbers MCQs with answers PDF?

Students can download a free PDF of Rational Numbers Class 8 MCQs with answers from this page to practice offline and revise before exams.

Which properties of Rational Numbers are important for MCQs?

Students should revise closure, commutative, associative, and distributive properties as they are frequently asked in Rational Numbers Class 8 MCQs.

How many Rational Numbers can be found between two numbers?

Between any two rational numbers, we can find infinitely many rational numbers. For example, between 1/2 and 3/4, numbers like 5/8 or 9/16 exist.

Are Rational Numbers Class 8 MCQs useful for Olympiads and NTSE?

Since Olympiad and NTSE exams also include objective-type questions, practicing Class 8 Rational Numbers MCQs with solutions improves problem-solving and exam readiness.