Rational Numbers — Class 8 MCQs with Answers
Class 8 CBSE Mathematics · Chapter 101
Pre-2026 syllabusThis chapter is from the older NCERT book. See the 2026-27 Class 8 Mathematics chapters →
72 practice questions · 24 Easy · 24 Medium · 24 Hard · Updated
Jump to the 6 solved questions
Practise the most important Class 8 CBSE Mathematics questions from Chapter 101, "Rational Numbers". You get 9 timed quizzes made from 72 NCERT-based MCQs, with answers and explanations. The questions are split into 24 Easy, 24 Medium and 24 Hard. Warm up on the basics, then move on to the exam-level questions that top scorers in CBSE Board exams get right.
To score well in "Rational Numbers", focus on fast problem-solving, formula recall and step-by-step working. Each MCQ here is timed and uses exam-style marking (+4 correct, −1 wrong, 0 skipped). This helps you stay accurate when time is short, just as real papers need. Every question has a short explanation, so a wrong answer becomes a quick lesson. It is the fastest way to fix gaps before a test.
Use this chapter for focused revision. Start with the Easy set to check your basics on Rational Numbers, then move to Medium and Hard to practise applying them. Your accuracy, streaks and XP save automatically. This chapter also adds to your overall Class 8 Mathematics mastery score. Try the 6 sample questions below: tap an option to see the answer and a worked explanation. Sign in free to start practising.
Rational Numbers — important questions & MCQs with answers (Class 8 Mathematics)
6 solved questions from this chapter's difficulty levels, each with its answer and explanation. Tap an option to check yourself.
0 of 6 answered
- Q1 of 6Easy
Which of the following is a rational number?
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Answer: 0.75
Explanation: 0.75 = 3/4, a ratio of two integers, so it is rational. √2, π, e are irrational.
- Q2 of 6Easy
Find the value of (−5/9) + (2/9).
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Answer: −1/3
Explanation: With the same denominator, (−5 + 2)/9 = −3/9 = −1/3 in lowest terms.
- Q3 of 6Medium
A rational number that lies between 1/3 and 1/2 is:
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Answer: 5/12
Explanation: 1/3 = 4/12 and 1/2 = 6/12. So 5/12 lies strictly between them.
- Q4 of 6Medium
The property a × (b + c) = a × b + a × c is called:
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Answer: Distributive property
Explanation: Multiplication distributes over addition for rational numbers.
- Q5 of 6Hard
Simplify: (3/4 × 2/5) − (1/2 ÷ 3/8).
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Answer: −31/30
Explanation: 3/4 × 2/5 = 3/10. 1/2 ÷ 3/8 = 4/3. Now 3/10 − 4/3 = 9/30 − 40/30 = −31/30.
- Q6 of 6Hard
How many rational numbers lie between any two distinct rational numbers?
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Answer: Infinitely many
Explanation: Between any two distinct rationals there are infinitely many rationals — the density property.
Rational Numbers notes: key concepts (Class 8 Mathematics)
This chapter studies rational numbers and their properties under the basic operations, the role of 0 and 1, and how to find rational numbers between any two given ones.
- Rational number
- A number that can be written as p/q where p and q are integers and q ≠ 0.
- Closure & commutativity
- Rationals are closed under +, − and ×; addition and multiplication are commutative and associative, but subtraction and division are not.
- Identity & inverse
- 0 is the additive identity and 1 the multiplicative identity; the additive inverse of a/b is −a/b and the reciprocal is b/a.
- Distributive law
- a × (b + c) = a×b + a×c, used to simplify calculations.
- Rationals between two rationals
- There are infinitely many rationals between any two; the mean (average) gives one easily.
Start this chapter free
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This chapter has 72 questions (24 Easy · 24 Medium · 24 Hard), with timed scoring and instant feedback. The rest unlock with the ₹999/year plan.
Start with the questions above. The full quiz opens here after.
Rational Numbers — FAQs
What are the key concepts in Class 8 Mathematics Rational Numbers?+
This chapter studies rational numbers and their properties under the basic operations, the role of 0 and 1, and how to find rational numbers between any two given ones. Key ideas include Rational number, Closure & commutativity, Identity & inverse, Distributive law, Rationals between two rationals.
What does Class 8 Mathematics Chapter 101 (Rational Numbers) cover on XamBaaz?+
It has 72 NCERT-based MCQs on "Rational Numbers": 24 Easy, 24 Medium and 24 Hard. Together they make 9 timed quizzes, and you never get the same set twice. Every question has an instant explanation. They help you prepare for CBSE Board exams.
Are these "Rational Numbers" questions free to practise?+
Yes. Sign in with Google to practise "Rational Numbers" free. Full unlimited access is ₹999/year. One year from the day you pay. You stay in Class 8 till 31 March; on 1 April your account moves up to Class 9 and the rest of your year carries over. No chapter is charged separately.
How should I revise "Rational Numbers" for the exam?+
Start with the Easy quiz to check your basics, then try Medium and Hard to practise applying them. There are 9 timed quizzes on this chapter, so you can come back for a fresh set instead of one you have seen. Read each explanation, retry the questions you miss, and track your accuracy until it stays high.
Are these "Rational Numbers" MCQs available with answers?+
Yes. 6 sample questions are on this page with answers: tap an option, or "Show answer", to see the correct option and a step-by-step explanation. Sign in free with Google to start practising, with instant scoring.
Is there negative marking in the "Rational Numbers" quizzes?+
Yes. The timed quizzes use exam-style marking: +4 for a right answer, −1 for a wrong one and 0 for a skip. MHT-CET and CBSE board papers have no negative marking. Our mocks for those are scored their way.
What are the important questions from Rational Numbers (Class 8 Mathematics)?+
The questions that matter most test Rational number, Closure & commutativity, Identity & inverse, Distributive law, Rationals between two rationals. This page shows 6 solved important MCQs with answers and explanations. Sign in to practise all 72 questions on the chapter as timed quizzes.
Is there an online quiz for Rational Numbers?+
Yes — Class 8 Mathematics Rational Numbers has timed online quizzes at Easy, Medium and Hard levels, with instant scoring and a worked explanation on every question. The first quiz on the chapter is free.
Are there question answers and extra questions for Rational Numbers (Class 8 Mathematics)?+
Yes. This page has 6 solved questions on Rational Numbers, each with the correct answer and a short explanation. Sign in to practise all 72 questions on the chapter as timed quizzes.