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MCQ on Number Systems | Class 9 Mathematics Chapter 1

By Abdur Rohman / October 24, 2024

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Welcome to MCQ Assam School. This post contains 30 MCQs (Multiple Choice Questions) on Class 9 Mathematics Chapter 1. The name of the chapter is “Number Systems”. So, basically, this post contains 30 MCQs on Number Systems. These MCQs will help you to understand the chapter better and will also help you prepare for your exam.

The Chapter deals with the following topics:

Introduction to Number Systems
Irrational Numbers
Real Numbers and Their Decimal Expansions
Operations on Real Numbers, etc.

These MCQs can also act as a Mock Test. There are 30 MCQs. There are four options for each question. Out of the four options, only one option is correct. Choose the correct options for each question and click on the submit button to see the results. You can also, review your answers. For each right option, you will see a green check mark and for each wrong option, you will see a red cross mark. If the chosen option is wrong then a green check mark will appear near the right option. This way you will know the right answer.

Let’s begin.

30 MCQs on Number Systems | Class 9 Maths Chapter 1

1. What is the symbol used to represent the set of natural numbers?

A. Z B. N C. Q D. W

2. Which number set includes both positive and negative integers?

A. Natural Numbers (N) B. Integers (Z) C. Rational Numbers (Q) D. Real Numbers (R)

3. A number that cannot be expressed in the form \( \frac{p}{q} \), where \( p \) and \( q \) are integers and \( q \neq 0 \), is called a:

A. Rational number B. Irrational number C. Whole number D. Natural number

4. What is the decimal expansion of a rational number?

A. Always terminating B. Always non-terminating C. Either terminating or non-terminating recurring D. Non-recurring

5. Which of the following numbers is irrational?

A. \( \frac{1}{2} \) B. 0.25 C. 0.75 D. \( \sqrt{2} \)

6. Which of the following is the decimal expansion of an irrational number?

A. 0.3333… B. 0.101101110111… C. 0.75 D. 0.125

7. The square root of which of the following numbers is irrational?

A. 16 B. 2 C. 9 D. 25

8. Which set of numbers does \( \pi \) belong to?

A. Rational numbers B. Irrational numbers C. Integers D. Whole numbers

9. What is the result of multiplying two irrational numbers?

A. It can be either rational or irrational B. Always irrational C. Always rational D. Undefined

10. The sum of a rational number and an irrational number is:

A. Rational B. Irrational C. Undefined D. Either rational or irrational

11. The decimal expansion of an irrational number is:

A. Non-terminating and non-recurring B. Terminating C. Recurring D. Both terminating and recurring

12. Which of the following represents a rational number?

A. \( \pi \) B. \( \sqrt{3} \) C. \( \frac{7}{8} \) D. \( \sqrt{5} \)

13. Which of the following is a property of rational numbers?

A. Always non-terminating decimals B. Non-terminating and non-recurring C. Terminating or non-terminating recurring decimals D. Undefined

14. The number \( \frac{22}{7} \) is:

A. Rational B. Irrational C. Undefined D. Whole number

15. Which of the following is an example of an integer?

A. \( \frac{3}{4} \) B. -3 C. \( \frac{5}{2} \) D. 0.75

16. What is the square root of \( \sqrt{16} \)?

A. 6 B. 4 C. 8 D. 2

17. How many rational numbers exist between any two distinct rational numbers?

A. None B. Finite C. Infinite D. Only one

18. Which of the following numbers is a rational number?

A. 5 B. \( \sqrt{7} \) C. \( \pi \) D. \( e \)

19. The sum of two rational numbers is always:

A. Irrational B. Rational C. Undefined D. Both rational and irrational

20. Which of the following statements is true for irrational numbers?

A. Their decimal expansions terminate B. They can be expressed as fractions C. They have a recurring decimal pattern D. They have non-terminating, non-recurring decimal expansions

21. What is the value of \( \sqrt{9} \)?

A. 6 B. 3 C. 9 D. 4

22. The product of two irrational numbers is:

A. Always rational B. Either rational or irrational C. Always irrational D. Undefined

23. Which of the following is true for real numbers?

A. They are always integers B. They are only rational C. They are either rational or irrational D. None of the above

24. The square root of a non-perfect square is:

A. Rational B. Integer C. Irrational D. Undefined

25. The sum of two irrational numbers may be:

A. Always irrational B. Either rational or irrational C. Always rational D. Undefined

26. Which of the following numbers has a terminating decimal expansion?

A. \( \frac{1}{3} \) B. \( \frac{5}{8} \) C. \( \frac{7}{9} \) D. \( \frac{1}{6} \)

27. Which of the following represents an irrational number?

A. 0.333… B. 0.125 C. \( \sqrt{3} \) D. 1.5

28. Which of the following is a rational number?

A. \( \pi \) B. \( \sqrt{5} \) C. 0.5 D. \( e \)

29. The product of two rational numbers is:

A. Rational B. Irrational C. Undefined D. Real

30. Which of the following is true for the decimal expansion of \( \frac{7}{11} \)?

A. Terminating B. Non-terminating, recurring C. Non-terminating, non-recurring D. Undefined

Review Your Answers Above.

MCQ on Polynomials | Class 9 Mathematics Chapter 2

The Bottom Line

I hope these 30 Multiple-choice questions have helped you learn more about the Class 9 Mathematics Chapter 1 (Number Systems) in detail. You can retake the test anytime you want by refreshing the page and review your results.

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Check out for more MCQs on other chapters of Class 9 Maths. We also have MCQs on other subjects ranging from Class 5 to 10.

Abdur Rohman

Abdur Rohman is an Electrical Engineer from Charaideo, Assam, who wears multiple hats as a part-time teacher, blogger, entrepreneur, and digital marketer. Passionate about education, he founded The Assam School blog to provide free, comprehensive textbook solutions, MCQs (Multiple Choice Questions), and other academic content for students from Class V to XII.