Last Updated on May 17, 2025 by XAM CONTENT
Understanding the key concepts of Class 9 Maths Chapter 1 – Number Systems is crucial for exam success. To make your revision easier, we have created chapterwise mcq questions with Answers for class 9 Maths based on the latest syllabus and exam pattern. It is a part of MCQ Questions for CBSE Class 9 Maths Series.
These multiple-choice questions will help you assess your knowledge, improve accuracy, and boost confidence for your exams. Whether you are preparing for school tests, online tests or competitive exams, these Number Systems MCQs will strengthen your conceptual clarity.
| Chapter | Number Systems |
| Book | Maths Textbook for Class 9 |
| Type of Questions | MCQ Questions |
| Nature of Questions | Competency Based Questions |
| Board | CBSE |
| Class | 9 |
| Subject | Maths |
| Useful for | Class 9 Studying Students |
| Answers provided | Yes |
| Difficulty level | Mentioned |
| Important Link | Class 9 Maths Chapterwise MCQ Questions |
MCQ Questions on Number Systems Class 9 Maths (PDF Download)
MCQs
Q1. Which of the following is an irrational number?
(a) 7/8
(b) √5
(c) 0.75
(d) -3/4
Show Answer
Answer: (b)
Explanation: √5 cannot be expressed as a ratio of two integers, hence it is irrational.
Q2. The decimal expansion of a rational number is always:
(a) Terminating
(b) Non-terminating non-repeating
(c) Either terminating or repeating
(d) Always repeating
Show Answer
Answer: (c)
Explanation: Rational numbers have decimal expansions that are either terminating or repeating.
Q3. Between two distinct rational numbers, we can find:
(a) No other rational number
(b) Only one irrational number
(c) Infinitely many rational numbers
(d) Only integers
Show Answer
Answer: (c)
Explanation: The rational numbers are dense; between any two rational numbers, there are infinitely many more.
Q4. The number 0.101001000100001… is an example of:
(a) Rational number
(b) Terminating decimal
(c) Non-terminating repeating decimal
(d) Irrational number
Show Answer
Answer: (d)
Explanation: This decimal does not terminate and does not repeat, so it is irrational.
Q5. Which of the following is not a real number?
(a) √2
(b) 3π
(c) √(-9)
(d) -5
Show Answer
Answer: (c)
Explanation: √(-9) is imaginary, hence not a real number.
Q6. Which of the following is a terminating decimal?
(a) 1/3
(b) 5/12
(c) 1/4
(d) 2/7
Show Answer
Answer: (c)
Explanation: 1/4 = 0.25 is a terminating decimal.
Q7. If p is a non-zero rational number and q is an irrational number, then p + q is:
(a) Rational
(b) Irrational
(c) Always zero
(d) Integer
Show Answer
Answer: (b)
Explanation: The sum of a rational and irrational number is irrational.
Q8. The product of two irrational numbers is:
(a) Always irrational
(b) Always rational
(c) Either rational or irrational
(d) Always non-real
Show Answer
Answer: (c)
Explanation: For example, √2 × √2 = 2 (rational); but √2 × √3 is irrational.
Q9. Which of the following has a non-terminating repeating decimal expansion?
(a) 3/5
(b) 1/6
(c) √3
(d) 1/8
Show Answer
Answer: (b)
Explanation: 1/6 = 0.1666… which is non-terminating and repeating.
Q10. Which number is not rational?
(a) -4
(b) 0
(c) √7
(d) 3.5
Show Answer
Answer: (c)
Explanation: √7 is irrational as it cannot be written in p/q form.
Q11. A number with a non-terminating, non-repeating decimal expansion is:
(a) Integer
(b) Rational
(c) Irrational
(d) Natural
Show Answer
Answer: (c)
Explanation: Non-repeating and non-terminating decimal expansions represent irrational numbers.
Q12. Which set contains all rational numbers?
(a) Integers
(b) Whole numbers
(c) Natural numbers
(d) None of the above
Show Answer
Answer: (d)
Explanation: All given sets are subsets of rational numbers, not the complete set.
Q13. Every rational number can be expressed in the form:
(a) √n
(b) a + b
(c) a/b where b ≠ 0
(d) a × b
Show Answer
Answer: (c)
Explanation: By definition, rational numbers can be expressed as a/b, where a and b are integers, b ≠ 0.
Q14. √25 is:
(a) Irrational
(b) Rational
(c) Imaginary
(d) Prime
Show Answer
Answer: (b)
Explanation: √25 = 5, which is a rational number.
Q15. Which of the following is not a subset of real numbers?
(a) Natural numbers
(b) Rational numbers
(c) Irrational numbers
(d) Complex numbers
Show Answer
Answer: (d)
Explanation: Complex numbers are not a subset of real numbers.
Q16. Which of the following is a rational approximation of π?
(a) 22/7
(b) √2
(c) e
(d) √π
Show Answer
Answer: (a)
Explanation: 22/7 is commonly used as a rational approximation for π.
Q17. The value of (√3)² is:
(a) 9
(b) 3
(c) √3
(d) 1
Show Answer
Answer: (b)
Explanation: Square of √3 is 3.
Q18. The additive inverse of a rational number -7/9 is:
(a) 7/9
(b) -7/9
(c) 0
(d) 9/7
Show Answer
Answer: (a)
Explanation: Additive inverse is the number that gives zero when added to the original number.
Q19. The number 0.142857142857… is:
(a) Irrational
(b) Terminating decimal
(c) Non-terminating repeating decimal
(d) None of the above
Show Answer
Answer: (c)
Explanation: This is a repeating decimal, hence rational.
Q20. Which of the following pairs are both irrational numbers?
(a) √2 and 2/3
(b) π and 0
(c) √3 and π
(d) -1 and √4
Show Answer
Answer: (c)
Explanation: Both √3 and π are irrational numbers.
We hope the given mcq questions with Answers for Number Systems Class 9 helps you in your learning.
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Also check
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- Linear Equations in Two Variables – Class 9 Maths Chapter 4 MCQ Questions with Answers (Updated)
- Coordinate Geometry – Class 9 Maths Chapter 3 MCQ Questions with Answers (Updated)
- Polynomials – Class 9 Maths Chapter 2 MCQ Questions with Answers (Updated)
- Number Systems – Class 9 Maths Chapter 1 MCQ Questions with Answers (Updated)
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👉 Explore more resources on CBSE Class 9
Topics from which mcq questions may be asked
- Rational and irrational numbers
- Laws of exponents
- Decimal expansion of real numbers
Real numbers are the building blocks of mathematics, extending our number system to infinity.
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Frequently Asked Questions (FAQs) on Number Systems MCQ Questions
Q1: What are MCQ questions in Class 9 Maths?
A1: MCQ (Multiple Choice Questions) in Class 9 Maths are objective-type questions where students choose the correct answer from four options. They test conceptual understanding, application, and reasoning skills.
Q2: Are these Class 9 Maths MCQs based on the latest CBSE syllabus?
A2: Yes, all MCQ questions provided are strictly based on the latest CBSE Class 9 Maths syllabus and follow the current NCERT textbook.
Q3: Are Class 9 Maths MCQ questions useful for board exam preparation?
A3: Yes, practicing MCQ questions helps build strong conceptual understanding and improves performance in school tests, Olympiads, and board-level competency assessments.
Q4: Do these MCQs include answers and explanations?
A4: Absolutely. Each MCQ question includes the correct answer along with a detailed explanation to help students understand the concept behind the question.
Q5: Where can I find the best MCQ questions for Class 9 Maths?
A5: You can find high-quality, CBSE-based MCQ questions for Class 9 Maths on trusted educational websites like xamcontent.com. These include chapterwise, topicwise, and competency-based questions aligned with the latest syllabus
Q6: Are there any resources available online for students to practice mcq questions on class 9 maths chapter 1 “Number Systems“ for CBSE exams?
A6: Yes, several educational websites offer mcq questions for CBSE students preparing for science examinations. We also offer a collection of mcq questions for all classes and subject on our website. Visit our website to access these questions and enhance your learning experience. for more mcq, you can also visit Physics Gurukul Website.
