EduSahara™ Worksheet

Question 1

1.

25
√

8
=

(i)

(

1
25

)

6
(ii)

(

1
23

)

8
(iii)

8 25
(iv)

(

1
25

)

10
(v)

(

1
25

)

8

Question 2

2.

Rationalise the denominator of
1

(

−

√

2

−

8

√

9

)

(i)

(

1
574

√

2

−

4
95

)
(ii)

(

1
574

√

2

−

12
289

)
(iii)

(

1
574

√

2

−

12
287

)
(iv)

(

1
574

√

4

−

12
287

)
(v)

(

1
574

√

1
2

−

12
287

)

Question 3

3.

Express
1
8
as a decimal correct to 3 decimal places

(i)

-0.075
(ii)

0.025
(iii)

0.225
(iv)

0.325
(v)

0.125

Question 4

4.

Which of the following symbols represent the set of Natural numbers ?

(i)

Z
(ii)

W
(iii)

N
(iv)

Q
(v)

R

Question 5

5.

8
√

5

8
√

2
=

(i)

6
√

5
2
(ii)

8
√

5
2
(iii)

8
√

7
2
(iv)

10
√

5
2
(v)

8
√

3
2

Question 6

6.

Express
5
4
as a decimal correct to 2 decimal places

(i)

1.35
(ii)

1.05
(iii)

0.12
(iv)

1.25
(v)

12.5

Question 7

7.

(

−

4

√

6

+

6

√

7

+

4

√

9

)
−
(

−

2

√

2

−

6

√

6

+

7

√

3

)
=

(i)

(

2

√

6

+

6

√

7

+

4

√

9

+

2

√

2

−

7

√

3

)
(ii)

(

2

√

4

+

6

√

7

+

4

√

9

+

2

√

2

−

7

√

3

)
(iii)

(

2

√

6

+

6

√

7

+

4

4
√

9

+

2

√

2

−

7

√

3

)
(iv)

(

2

√

6

+

6

4
√

7

+

4

√

9

+

2

√

2

−

7

√

3

)
(v)

(

2

√

6

+

6

√

7

+

4

√

9

+

2

√

5

−

7

√

3

)

Question 8

8.

If
√

2

= 1.4142,

√

3

= 1.7321,

√

5

= 2.2361,

√

7

= 2.6458,

the value of
(

−

2

√

5

)

√

3
=

(i)

4.418
(ii)

-2.582
(iii)

5.418
(iv)

8.418

Question 9

9.

The decimal number -4.0067 lies between

(i)

{-4.0066,-4.0065}
(ii)

{-4.0077,-4.0057}
(iii)

{-4.0069,-4.0068}
(iv)

{-4.0057,-4.0047}
(v)

{-4.0087,-4.0077}

Question 10

10.

(

−

9

√

9

)
−
(

−

9

√

9

)
=

(i)

1
(ii)

3
(iii)

(

−

2

)
(iv)

(

−

1

)
(v)

0

Question 11

11.

Which of the following is a pure recurring decimal?

(i)

1.72222222222222...
(ii)

24.61111111111111...
(iii)

17.22222222222222...
(iv)

0.43333333333333...

Question 12

12.

5

√

5
✕
(

−

7

√

4

)
=

(i)

(

−

70

√

2

)
(ii)

(

−

70

√

5

)
(iii)

(

−

70

4
√

5

)
(iv)

(

−

70

√

7

)
(v)

(

−

350

)

Question 13

13.

Express
21
95
as a decimal correct to 2 decimal places

(i)

0.32
(ii)

0.22
(iii)

0.02
(iv)

2.21

Question 14

14.

Which of the following is true?

(i)

-72.42 > -11.98
(ii)

-26.88 < -89.29
(iii)

-64.72 > -76.72
(iv)

-96.38 > 5.62
(v)

-39.66 > -4.13

Question 15

15.

2

√

14

4

√

12
=

(i)

√

3
8
(ii)

4
√

7
24
(iii)

√

7
24
(iv)

√

5
24
(v)

7
24

Question 16

16.

8

3
√

6

3

3
√

9
=

(i)

5
√

1024
81
(ii)

3
√

1024
81
(iii)

3
√

1022
81
(iv)

1024
81
(v)

3
√

38
3

Question 17

17.

Express
23
100
as a decimal correct to 2 decimal places

(i)

0.23
(ii)

0.03
(iii)

0.02
(iv)

0.33
(v)

2.3

Question 18

18.

Which of the following decimal numbers lie between
4154.3921
and
4154.3922
?

(i)

4154.39217
(ii)

41543.92171
(iii)

4154.39207
(iv)

415.43922
(v)

4154.39221

Question 19

19.

Express
283
202
as a decimal correct to 3 decimal places

(i)

1.601
(ii)

1.201
(iii)

1.501
(iv)

1.301
(v)

1.401

Question 20

20.

Find the product of the decimal numbers at the points labelled with letters F and G

(i)

73.3
(ii)

73.1
(iii)

73.7
(iv)

73.5
(v)

72.9

Question 21

21.

Find the difference of the rational numbers at the points labelled with letters G and H

(i)

0
(ii)

(
-2
7
)
(iii)

(
-2
3
)
(iv)

(
-2
5
)
(v)

(
-4
5
)

Question 22

22.

The decimal number 0.049 lies between

(i)

{0.047,0.048}
(ii)

{0.050,0.051}
(iii)

{0.039,0.059}
(iv)

{0.059,0.069}
(v)

{0.029,0.039}

Question 23

23.

8
√

9
✕
8
√

9
=

(i)

4
√

9
(ii)

√

9
(iii)

4
√

11
(iv)

6
√

9
(v)

4
√

7

Question 24

24.

Which of the following symbols represent the set of Whole numbers ?

(i)

Q'
(ii)

Z
(iii)

W
(iv)

N
(v)

R

Question 25

25.

The rationalising factor of
(

−

5

√

83

)
=

(i)

√

81
(ii)

4
√

83
(iii)

√

83
(iv)

√

85
(v)

83

Assignment Key