EduSahara™ Worksheet

Question 1

1.

Find the period of the recurring decimal
23.
1

(i)

1
(ii)

0
(iii)

10
(iv)

2

Question 2

2.

Find the period of the recurring decimal
8.22222222222222...

(i)

2
(ii)

1
(iii)

20
(iv)

0

Question 3

3.

Find the periodicity of the recurring decimal
0.
3

(i)

3
(ii)

-1
(iii)

0
(iv)

1
(v)

2

Question 4

4.

Find the periodicity of the recurring decimal
21.55555555555555...

(i)

2
(ii)

5
(iii)

-1
(iv)

1
(v)

0

Question 5

5.

The recurring part of the decimal
0.
3
is

(i)

0.3
(ii)

33
(iii)

330
(iv)

3
(v)

333

Question 6

6.

The recurring part of the decimal
8.04761904761904...
is

(i)

047619047619
(ii)

04761908
(iii)

0476190047619
(iv)

047619
(v)

8.047619

Question 7

7.

Convert the non-terminating recurring decimal
22.
476190
to rational number

(i)

472
23
(ii)

472
19
(iii)

472
21
(iv)

470
21
(v)

158
7

Question 8

8.

Convert the non-terminating recurring decimal
17.25925925925925...

to rational number

(i)

466
27
(ii)

466
29
(iii)

52
3
(iv)

466
25
(v)

464
27

Question 9

9.

Convert the fraction
149
9
to non-terminating recurring decimal

(i)

16.
5
(ii)

0.16
5
(iii)

1655.
5
(iv)

165.
5
(v)

1.6
5

Question 10

10.

Convert the fraction
157
9
to non-terminating recurring decimal

(i)

1744.
4
(ii)

17.
4
(iii)

1.7
4
(iv)

0.17
4
(v)

174.
4

Question 11

11.

Which of the following fractions converts to a non-terminating recurring decimal?

(i)

2808
64
(ii)

1
3
(iii)

247
5
(iv)

2420
50
(v)

484
5

Question 12

12.

Which of the following fractions converts to a terminating decimal?

(i)

349
18
(ii)

1
30
(iii)

1
3
(iv)

2992
64
(v)

1
54

Question 13

13.

Which of the following is a pure recurring decimal?

(i)

14.27777777777777...
(ii)

16.61111111111111...
(iii)

6.05555555555555...
(iv)

28.27777777777777...
(v)

3.55555555555555...

Question 14

14.

Which of the following is a mixed recurring decimal?

(i)

14.88888888888888...
(ii)

30.37037037037037...
(iii)

16.09523809523809...
(iv)

8.72222222222222...
(v)

4.22222222222222...

Question 15

15.

Find the period of the recurring decimal
29.
5

(i)

50
(ii)

5
(iii)

1
(iv)

2
(v)

0

Question 16

16.

Find the period of the recurring decimal
7.07407407407407...

(i)

7
(ii)

740
(iii)

3
(iv)

4
(v)

074

Question 17

17.

Find the periodicity of the recurring decimal
22.
380952

(i)

6
(ii)

5
(iii)

7
(iv)

380952
(v)

4

Question 18

18.

Find the periodicity of the recurring decimal
22.88888888888888...

(i)

-1
(ii)

2
(iii)

1
(iv)

0
(v)

8

Question 19

19.

The recurring part of the decimal
0.
3
is

(i)

3
(ii)

330
(iii)

33
(iv)

333
(v)

0.3

Question 20

20.

The recurring part of the decimal
14.11111111111111...
is

(i)

11
(ii)

1
(iii)

14.1
(iv)

111

Question 21

21.

Convert the non-terminating recurring decimal
20.
2
to rational number

(i)

184
9
(ii)

26
(iii)

182
9
(iv)

20
(v)

182
11

Question 22

22.

Convert the non-terminating recurring decimal
3.11111111111111...

to rational number

(i)

28
11
(ii)

26
9
(iii)

10
3
(iv)

28
9
(v)

4

Question 23

23.

Convert the fraction
110
9
to non-terminating recurring decimal

(i)

0.1
2
(ii)

1.
2
(iii)

12.
2
(iv)

1222.
2
(v)

122.
2

Question 24

24.

Convert the fraction
61
18
to non-terminating recurring decimal

(i)

3.3
8
(ii)

0.0
3
(iii)

338.
8
(iv)

0.
3
(v)

33.
8

Question 25

25.

Which of the following fractions converts to a non-terminating recurring decimal?

(i)

207
32
(ii)

175
16
(iii)

307
18
(iv)

1400
256
(v)

3952
256

Question 26

26.

Which of the following fractions converts to a terminating decimal?

(i)

133
9
(ii)

7600
20
(iii)

371
144
(iv)

371
18
(v)

371
216

Question 27

27.

Which of the following is a pure recurring decimal?

(i)

20.72222222222222...
(ii)

0.43333333333333...
(iii)

9.72222222222222...
(iv)

22.38888888888888...
(v)

15.44444444444444...

Question 28

28.

Which of the following is a mixed recurring decimal?

(i)

0.33333333333333...
(ii)

1.94444444444444...
(iii)

30.96296296296296...
(iv)

29.22222222222222...
(v)

21.09523809523809...

Assignment Key