Class 9 Maths Chapter 1 MCQs – Real Numbers (FBISE)

By tmagriou / June 25, 2026

Description: Practice Class 9 Maths Chapter 1 Real Numbers MCQs according to the latest FBISE syllabus. These exam-oriented multiple-choice questions cover properties of real numbers, radicals, exponents, and scientific notation.

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← Introduction
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1. Which of the following is a rational number?

A) $\sqrt{2}$
B) $\frac{5}{8}$
C) $\pi$
D) $\sqrt{7}$

2. Every natural number is also a:

A) Real number
B) Irrational number
C) Imaginary number
D) Radical

3. The symbol $\sqrt{\phantom{x}}$ is called the:

A) Exponent
B) Coefficient
C) Index
D) Radical sign

4. In $\sqrt{25}$ , the number 25 is called the:

A) Exponent
B) Base
C) Radicand
D) Index

5. The value of $\sqrt{81}$ is:

A) 7
B) 9
C) 8
D) 6

6. According to the law of exponents, $a^m \times a^n =$

A) $a^{m+n}$
B) $a^{mn}$
C) $a^{m-n}$
D) $a^m+a^n$

7. $10^0$ is equal to:

A) 0
B) 10
C) Undefined
D) 1

8. Which number is irrational?

A) 0.25
B) $\frac{7}{3}$
C) $\sqrt{3}$
D) -5

9. The standard form of scientific notation is:

A) $a \times 10^n,\;1\le a<10$
B) $10^n+a$
C) $a^n\times10$
D) $a+n$

10. $0.00045$ in scientific notation is:

A) $4.5\times10^4$
B) $4.5\times10^{-4}$
C) $45\times10^{-4}$
D) $0.45\times10^{-3}$

11. $a^m \div a^n =$

A) $a^{m+n}$
B) $a^{mn}$
C) $a^{n-m}$
D) $a^{m-n}$

12. The square root of 1 is:

A) 1
B) -1 only
C) 0
D) 2

13. Which property states $a+b=b+a$ ?

A) Associative property
B) Identity property
C) Commutative property
D) Distributive property

14. $(a^m)^n =$

A) $a^{m+n}$
B) $a^{mn}$
C) $a^{m-n}$
D) $a^m+a^n$

15. Which set contains all rational and irrational numbers?

A) Real numbers
B) Whole numbers
C) Integers
D) Prime numbers

16. $\sqrt{144}$ equals:

A) 10
B) 11
C) 13
D) 12

17. Which of the following is written correctly in scientific notation?

A) $25\times10^3$
B) $2.5\times10^4$
C) $0.25\times10^5$
D) $12.3\times10^2$

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18. Which of the following is an irrational number?

A) $\sqrt{5}$
B) $\frac{9}{4}$
C) 0.125
D) -7

19. The value of $\sqrt{0}$ is:

A) 1
B) Undefined
C) 0
D) -1

20. The product $10^3 \times 10^5$ is:

A) $10^{15}$
B) $10^8$
C) $10^2$
D) $10^{-2}$

21. Which law is used in $a^5 \div a^2 = a^3$ ?

A) Product law
B) Power law
C) Zero exponent law
D) Quotient law

22. Which number is a perfect square?

A) 169
B) 75
C) 50
D) 27

23. The square root of $196$ is:

A) 12
B) 14
C) 16
D) 18

24. $2.75 \times 10^6$ represents:

A) 275,000
B) 27,500,000
C) 2,750,000
D) 275

25. Which set is a subset of real numbers?

A) Integers
B) Rational numbers
C) Irrational numbers
D) All of these

26. The value of $3^4$ is:

A) 81
B) 64
C) 27
D) 12

27. Which of the following is equal to $10^{-3}$ ?

A) 1000
B) 0.001
C) 0.01
D) 100

28. The principal square root of 225 is:

A) -15
B) ±15
C) 15
D) 25

29. Which expression equals $a^0$ , where $a \neq 0$ ?

A) $a$
B) 0
C) $a^2$
D) 1

30. Which property is illustrated by $a(b+c)=ab+ac$ ?

A) Distributive property
B) Commutative property
C) Associative property
D) Closure property

31. Which of the following is not an integer?

A) -8
B) $\frac{5}{2}$
C) 0
D) 13

32. The value of $\sqrt{64} + \sqrt{36}$ is:

A) 12
B) 13
C) 14
D) 16

33. $5.2 \times 10^3$ is equal to:

A) 5200
B) 520
C) 52
D) 52,000

34. Which of the following statements is true?

A) Every irrational number is rational.
B) Every real number is irrational.
C) No integer is a real number.
D) Every rational number is a real number.

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35. Which of the following is a terminating decimal?

A) $\frac{1}{3}$
B) $\frac{3}{8}$
C) $\frac{2}{9}$
D) $\frac{5}{11}$

36. The value of $\sqrt{121}$ is:

A) 11
B) 12
C) 13
D) 14

37. Which of the following is equal to $2^5$ ?

A) 16
B) 25
C) 30
D) 32

38. The number $0.000007$ in scientific notation is:

A) $7 \times 10^{-5}$
B) $0.7 \times 10^{-6}$
C) $7 \times 10^{-6}$
D) $70 \times 10^{-7}$

39. Which expression is equivalent to $a^{-2}$ ?

A) $a^2$
B) $\frac{1}{a^2}$
C) $-a^2$
D) $2a$

40. Which of the following is an irrational number?

A) $\pi$
B) $0.5$
C) $\frac{11}{4}$
D) $-9$

41. The identity element for multiplication of real numbers is:

A) 0
B) -1
C) 10
D) 1

42. The cube of 4 is:

A) 16
B) 64
C) 12
D) 256

43. Which law gives $a^m \times b^m = (ab)^m$ ?

A) Quotient law
B) Zero exponent law
C) Product to a power law
D) Commutative law

44. The decimal expansion of every rational number is:

A) Terminating or recurring
B) Always non-terminating and non-recurring
C) Always irrational
D) Undefined

45. The square root of $400$ is:

A) 18
B) 19
C) 22
D) 20

46. $10^{-2}$ is equal to:

A) 100
B) 0.01
C) 0.1
D) 1000

47. Which of the following numbers is neither positive nor negative?

A) 1
B) -1
C) 0
D) $\sqrt{2}$

48. The reciprocal of $10^{-3}$ is:

A) $10^3$
B) $10^{-6}$
C) $10^{-1}$
D) $10^2$

49. The set of real numbers is represented by:

A) $\mathbb{N}$
B) $\mathbb{Z}$
C) $\mathbb{Q}$
D) $\mathbb{R}$

50. Which topic is primarily concerned with expressing very large or very small numbers conveniently?

A) Logarithms
B) Scientific notation
C) Factorization
D) Coordinate geometry

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