Real Numbers - Important Question Paper

9th Standard

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Maths

Time : 01:00:00 Hrs
Total Marks : 50

Part A

10 x 1 = 10
1. If n is a natural number then $\sqrt { n }$ is

(a)

always a natural number

(b)

always an irrational number

(c)

always a rational number

(d)

may be rational or irrational

2. Which of the following is not true?

(a)

Every rational number is a real number

(b)

Every integer is a rational number

(c)

Every real number is an irrational number

(d)

Every natural number is a whole number

3. Which one of the following, regarding sum of two irrational numbers, is true?

(a)

always an irrational number

(b)

may be a rational or irrational number

(c)

always a rational number

(d)

always an integer.

4. Which one of the following has a terminating decimal expansion?

(a)

$\frac { 5 }{ 64 }$

(b)

$\frac { 8 }{ 9 }$

(c)

$\frac { 14 }{ 15 }$

(d)

$\frac { 1 }{ 12 }$

5. Find the odd one out of the following

(a)

$\sqrt { 32 } \times \sqrt { 2 }$

(b)

$\frac { \sqrt { 27 } }{ \sqrt { 3 } }$

(c)

$\sqrt { 72 } \times \sqrt { 8 }$

(d)

$\frac { \sqrt { 54 } }{ \sqrt { 18 } }$

6. $0.\overline { 34 } +0.3\bar { 4 }$ =

(a)

$0.6\overline { 87 }$

(b)

$0.\overline { 68 }$

(c)

$0.6\bar { 8 }$

(d)

$0.68\bar { 7 }$

7. The decimal form of -$\frac { 3 }{ 4 }$ is_______________

(a)

- 0.75

(b)

- 0.50

(c)

-0.25

(d)

- 0.125

8. If a number has a non-terminating and non-recurring decimal expansion, then it is______________ .

(a)

a rational number

(b)

a natural number

(c)

an irrational number

(d)

an integer

9. Irrational number has a________________ .

(a)

terminating decimal

(b)

no decimal part

(c)

non-terminating and recurring decimal

(d)

non-terminating and non-recurring decimal

10. If $\frac { 1 }{ 7 }$= 0.142857, then the value of is______________.

(a)

0.285741

(b)

0.428571

(c)

0.285714

(d)

0.574128

11. Part B

6 x 2 = 12
12. Express the following in the form ${p\over q},$ where p and q are integers and q $\ne$ 0.
$0.\overline {47}$

13. Part C

6 x 3 = 18
14. Express the following decimal expression into rational numbers. $0.\overline { 24 }$

15. Express the following decimal expression into rational numbers. $2.\overline { 327 }$

16. Express the following decimal expression into rational numbers $3.1\overline { 7 }$

17. Express the following decimal expression into rational numbers $17.2\overline { 15 }$

18. Express the following decimal expression into rational numbers $0.\overline { 0001 }$

19. Part D

2 x 5 = 10
20. Find any  seven rational numbers between $\frac { 5 }{ 8 }$ and $\frac { 5 }{ 6 }$

21. Find any three rational numbers between $\frac { 1 }{ 2 }$ and $\frac { 1 }{ 5 }$