NCERT Class 9 Maths MCQs on Decimal Expansions & Expressing Numbers on the Number Line

NCERT Class 9 Maths MCQs – Decimal Expansions & Number Line

NCERT Class 9 Maths MCQs on Decimal Expansions & Expressing Numbers on the Number Line

Class: 9 | Subject: Mathematics | Chapter 1: Number Systems

Designed strictly as per CBSE curriculum based on NCERT books. Ideal for CBSE Class 9 Mathematics Board exam preparation.

1. The decimal expansion of 13/40 is:

A) 0.325
B) 0.0325
C) 0.352
D) 0.523

Correct Answer: A) 0.325

Explanation: 13 ÷ 40 = 0.325. Since denominator contains only prime factors 2 and 5, the decimal expansion is terminating.

2. Which of the following has a non-terminating recurring decimal expansion?

A) 7/8
B) 3/25
C) 2/3
D) 9/20

Correct Answer: C) 2/3

Explanation: Denominator 3 contains prime factor other than 2 or 5. Hence decimal expansion is non-terminating recurring.

3. Which number is irrational?

A) √49
B) √3
C) 0.75
D) 5/8

Correct Answer: B) √3

Explanation: √3 cannot be expressed as p/q. √49 = 7 which is rational.

4. The decimal expansion of 5/16 is:

A) 0.3125
B) 0.53125
C) 0.125
D) 0.256

Correct Answer: A) 0.3125

Explanation: 5 ÷ 16 = 0.3125. Denominator has only factor 2.

5. A rational number whose denominator has prime factors other than 2 and 5 will have:

A) Terminating decimal
B) Non-terminating recurring decimal
C) Whole number
D) Irrational number

Correct Answer: B) Non-terminating recurring decimal

Explanation: This is a direct theorem from NCERT.

6. The decimal representation of 1/6 is:

A) 0.16
B) 0.1666…
C) 0.6
D) 0.06

Correct Answer: B) 0.1666…

Explanation: 1/6 = 0.1666… (6 repeats). Hence recurring decimal.

7. Which of the following is a terminating decimal?

A) 4/15
B) 7/12
C) 11/25
D) 9/18

Correct Answer: C) 11/25

Explanation: 25 = 5². Only prime factor 5 → terminating decimal.

8. √5 lies between:

A) 2 and 3
B) 1 and 2
C) 3 and 4
D) 4 and 5

Correct Answer: A) 2 and 3

Explanation: √4 = 2 and √9 = 3. Since 5 lies between 4 and 9, √5 lies between 2 and 3.

9. 0.375 in fraction form is:

A) 3/8
B) 5/8
C) 7/8
D) 1/8

Correct Answer: A) 3/8

Explanation: 0.375 = 375/1000 = 3/8 after simplification.

10. Which of the following is not a rational number?

A) 0.121212…
B) √7
C) -3/5
D) 2

Correct Answer: B) √7

Explanation: √7 is irrational because it cannot be expressed as p/q.

11. π is:

A) Rational
B) Irrational
C) Whole
D) Integer

Correct Answer: B) Irrational

Explanation: π is non-terminating, non-recurring.

12. 0.999… is equal to:

A) 1
B) 0.9
C) 0.99
D) 9

Correct Answer: A) 1

Explanation: 0.999… equals 1 mathematically.

13. √2 on number line is constructed using:

A) Pythagoras theorem
B) Division
C) Multiplication
D) Addition

Correct Answer: A) Pythagoras theorem

Explanation: Using right triangle construction.

14. Which fraction equals 0.125?

A) 1/8
B) 1/5
C) 1/4
D) 1/2

Correct Answer: A) 1/8

Explanation: 1 ÷ 8 = 0.125.

15. The decimal expansion of 7/11 is:

A) Terminating
B) Non-terminating recurring
C) Whole
D) Integer

Correct Answer: B)

Explanation: Denominator 11 → recurring decimal.

16. √16 equals:

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

Correct Answer: B) 4

Explanation: √16 = 4.

17. Which is a perfect square?

A) 18
B) 20
C) 25
D) 30

Correct Answer: C) 25

Explanation: 25 = 5².

18. The decimal expansion of 9/20 is:

A) 0.45
B) 0.9
C) 0.09
D) 4.5

Correct Answer: A) 0.45

Explanation: 9 ÷ 20 = 0.45.

19. √10 lies between:

A) 2 and 3
B) 3 and 4
C) 4 and 5
D) 5 and 6

Correct Answer: B) 3 and 4

Explanation: √9=3 and √16=4.

20. 2.75 in fraction form is:

A) 11/4
B) 9/4
C) 5/4
D) 7/4

Correct Answer: A) 11/4

Explanation: 2.75 = 275/100 = 11/4.

NCERT Class 9 Maths MCQs on Decimal Expansions & Expressing Numbers on the Number Line

NCERT Class 9 Maths MCQs on Decimal Expansions & Expressing Numbers on the Number Line

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