EduSahara™ Worksheet

Question 1

1.

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

(i)

Q'
(ii)

W
(iii)

R
(iv)

N
(v)

Q

Question 2

2.

Which of the following are true?

a)

19

10

+

25

3

=

25

3

+

19

10

b)

11

12

−

25

3

=

25

3

−

11

12

c)

19

10

✕

26

5

=

26

5

✕

19

10

d)

11

12

÷

26

5

=

26

5

÷

11

12

(i)

{d,c}
(ii)

{b,a}
(iii)

{b,c,a}
(iv)

{a,c}
(v)

{b,d,a}

Question 3

3.

Express
18
47
as a decimal correct to 2 decimal places

(i)

0.18
(ii)

0.58
(iii)

0.38
(iv)

0.48
(v)

0.28

Question 4

4.

The decimal number -8.056 lies between

(i)

{-8.058,-8.057}
(ii)

{-8.055,-8.054}
(iii)

{-8.046,-8.036}
(iv)

{-8.066,-8.046}
(v)

{-8.076,-8.066}

Question 5

5.

Express
7
11
as a decimal correct to 2 decimal places

(i)

0.74
(ii)

6.36
(iii)

0.44
(iv)

0.64
(v)

0.06

Question 6

6.

(

1
10

)

17
=

(i)

10
√

20
(ii)

1
√

10 17
(iii)

10
√

14
(iv)

8
√

17
(v)

10
√

17

Question 7

7.

Find the sum of the rational numbers at the points labelled with letters F and G

(i)

81
10
(ii)

83
10
(iii)

33
4
(iv)

17
2
(v)

67
8

Question 8

8.

Which of the following is true?

(i)

-44.14 > -33.81
(ii)

-18.40 > -59.63
(iii)

-25.88 > 1.67
(iv)

-56.98 > -52.84
(v)

-97.35 > -15.53

Question 9

9.

Find the rational number at the point labelled with letter K

(i)

22
3
(ii)

8
(iii)

22
(iv)

20
3
(v)

22
5

Question 10

10.

Find the difference of the decimal numbers at the points labelled with letters A and B

(i)

0.7
(ii)

0.6
(iii)

-0.2
(iv)

0.2
(v)

0.1

Question 11

11.

The decimal number 854.493 lies between

(i)

{854,855}
(ii)

{852,853}
(iii)

{853,854}
(iv)

{856,857}
(v)

{855,856}

Question 12

12.

The additive inverse of
6
5
is

(i)

(
-6
5
)
(ii)

5
6
(iii)

0
(iv)

5
-6
(v)

(
-2

1
5
)

Question 13

13.

Express
2
9
as a decimal correct to 1 decimal places

(i)

0.1
(ii)

0
(iii)

0.3
(iv)

0.2
(v)

0.4

Question 14

14.

Express
35
44
as a decimal correct to 2 decimal places

(i)

0.6
(ii)

7.95
(iii)

0.08
(iv)

0.8
(v)

0.9

Question 15

15.

The rationalising factor of
(

−

4

√

4

−

2

√

7

)
=

(i)

(

−

8

+

2

√

7

)
(ii)

(

−

8

+

14

)
(iii)

(

−

8

+

2

4
√

7

)
(iv)

(

−

11

+

2

√

7

)
(v)

(

−

6

+

2

√

7

)

Question 16

16.

7

√

4
+
(

−

√

4

)
=

(i)

9
(ii)

13
(iii)

15
(iv)

12
(v)

11

Question 17

17.

6

√

2
−
(

−

8

√

2

)
=

(i)

28
(ii)

14

4
√

2
(iii)

14

√

5
(iv)

14

√

-1
(v)

14

√

2

Question 18

18.

7

√

19

8

√

6
=

(i)

√

931
384
(ii)

4
√

931
384
(iii)

√

929
384
(iv)

931
384
(v)

√

311
128

Question 19

19.

2.10 =

(i)

21
100
(ii)

21
10
(iii)

210
(iv)

21
(v)

21
1000

Question 20

20.

Convert the fraction
1
3
to non-terminating recurring decimal

(i)

0.0
3
(ii)

0.
3
(iii)

0.
0
(iv)

33.
3
(v)

3.
3

Question 21

21.

The recurring part of the decimal
5.22222222222222...
is

(i)

225
(ii)

5.2
(iii)

22
(iv)

2
(v)

222

Question 22

22.

Express
3
10
as a decimal correct to 4 decimal places

(i)

0.5
(ii)

0.1
(iii)

0.4
(iv)

0.3
(v)

0.2

Question 23

23.

Which of the following decimal numbers lie between
6157
and
6158
?

(i)

615.7
(ii)

6157.3
(iii)

6158.6
(iv)

6156.4
(v)

61572.9

Question 24

24.

(

8

3
√

5

−

4

3
√

7

−

5

3
√

8

)
−
(

−

2

3
√

6

+

5

3
√

3

+

5

3
√

9

)
=

(i)

(

8

3
√

5

−

4

3
√

7

−

5

3
√

8

+

2

3
√

8

−

5

3
√

3

−

5

3
√

9

)
(ii)

(

8

3
√

5

−

4

3
√

7

−

5

5
√

8

+

2

3
√

6

−

5

3
√

3

−

5

3
√

9

)
(iii)

(

8

3
√

3

−

4

3
√

7

−

5

3
√

8

+

2

3
√

6

−

5

3
√

3

−

5

3
√

9

)
(iv)

(

8

3
√

5

−

4

3
√

7

−

5

3
√

8

+

2

3
√

6

−

5

3
√

3

−

5

3
√

9

)
(v)

(

8

3
√

5

−

4

5
√

7

−

5

3
√

8

+

2

3
√

6

−

5

3
√

3

−

5

3
√

9

)

Question 25

25.

Which of the following is a cubic surd?

(i)

6

√

7
(ii)

8

5
√

5
(iii)

(

−

9

3
√

4

)
(iv)

7

4
√

8
(v)

8
√

3

Assignment Key