EduSahara™ Worksheet

Question 1

1.

Find the period of the recurring decimal
10.
047619

(i)

047619
(ii)

6
(iii)

476190
(iv)

4761
(v)

7

Question 2

2.

Find the period of the recurring decimal
1.09523809523809...

(i)

7
(ii)

095238
(iii)

9523
(iv)

6
(v)

952380

Question 3

3.

Find the periodicity of the recurring decimal
30.
2

(i)

2
(ii)

-1
(iii)

0
(iv)

1

Question 4

4.

Find the periodicity of the recurring decimal
28.11111111111111...

(i)

2
(ii)

-1
(iii)

1
(iv)

0

Question 5

5.

The recurring part of the decimal
27.
190476
is

(i)

190476
(ii)

19047612
(iii)

190476190476
(iv)

1904761190476
(v)

27.190476

Question 6

6.

The recurring part of the decimal
3.61111111111111...
is

(i)

113
(ii)

11
(iii)

161
(iv)

1
(v)

3.61

Question 7

7.

Convert the non-terminating recurring decimal
29.
7
to rational number

(i)

268
11
(ii)

30
(iii)

268
7
(iv)

268
9
(v)

266
9

Question 8

8.

Convert the non-terminating recurring decimal
29.92592592592592...

to rational number

(i)

808
27
(ii)

30
(iii)

806
27
(iv)

808
29
(v)

808
25

Question 9

9.

Convert the fraction
56
9
to non-terminating recurring decimal

(i)

6.
2
(ii)

622.
2
(iii)

62.
2
(iv)

0.06
2
(v)

0.6
2

Question 10

10.

Convert the fraction
80
9
to non-terminating recurring decimal

(i)

0.0
8
(ii)

8.
8
(iii)

88.
8
(iv)

0.
8
(v)

888.
8

Question 11

11.

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

(i)

4335
50
(ii)

157
4
(iii)

4896
128
(iv)

153
2
(v)

367
18

Question 12

12.

Which of the following fractions converts to a terminating decimal?

(i)

1936
160
(ii)

199
18
(iii)

316
153
(iv)

158
153
(v)

158
9

Question 13

13.

Which of the following is a pure recurring decimal?

(i)

24.27777777777777...
(ii)

29.59259259259259...
(iii)

11.05555555555555...
(iv)

14.61111111111111...
(v)

17.61111111111111...

Question 14

14.

Which of the following is a mixed recurring decimal?

(i)

22.44444444444444...
(ii)

20.11111111111111...
(iii)

1.72222222222222...
(iv)

10.44444444444444...
(v)

18.85185185185185...

Question 15

15.

Find the period of the recurring decimal
19.
851

(i)

8510
(ii)

3
(iii)

4
(iv)

851
(v)

85

Question 16

16.

Find the period of the recurring decimal
19.51851851851851...

(i)

518
(ii)

51
(iii)

5180
(iv)

4
(v)

3

Question 17

17.

Find the periodicity of the recurring decimal
0.
3

(i)

2
(ii)

0
(iii)

-1
(iv)

1
(v)

3

Question 18

18.

Find the periodicity of the recurring decimal
1.11111111111111...

(i)

2
(ii)

1
(iii)

0
(iv)

-1

Question 19

19.

The recurring part of the decimal
3.
592
is

(i)

592592
(ii)

592
(iii)

59253
(iv)

3.592
(v)

5925592

Question 20

20.

The recurring part of the decimal
21.22222222222222...
is

(i)

21.2
(ii)

22
(iii)

222
(iv)

2

Question 21

21.

Convert the non-terminating recurring decimal
28.3
8
to rational number

(i)

509
18
(ii)

57
2
(iii)

511
16
(iv)

511
18
(v)

511
20

Question 22

22.

Convert the non-terminating recurring decimal
21.44444444444444...

to rational number

(i)

193
9
(ii)

193
7
(iii)

191
9
(iv)

65
3
(v)

193
11

Question 23

23.

Convert the fraction
146
9
to non-terminating recurring decimal

(i)

162.
2
(ii)

16.
2
(iii)

1.6
2
(iv)

1622.
2
(v)

0.16
2

Question 24

24.

Convert the fraction
800
27
to non-terminating recurring decimal

(i)

29.
629
(ii)

2962.
962
(iii)

0.
296
(iv)

2.
962
(v)

296.
296

Question 25

25.

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

(i)

6800
16
(ii)

6137
8
(iii)

6137
16
(iv)

6153
16
(v)

1
3

Question 26

26.

Which of the following fractions converts to a terminating decimal?

(i)

2210
32
(ii)

176
9
(iii)

352
153
(iv)

16
9
(v)

154
9

Question 27

27.

Which of the following is a pure recurring decimal?

(i)

3.05555555555555...
(ii)

30.94444444444444...
(iii)

28.55555555555555...
(iv)

12.72222222222222...
(v)

22.05555555555555...

Question 28

28.

Which of the following is a mixed recurring decimal?

(i)

4.55555555555555...
(ii)

6.38888888888888...
(iii)

26.18518518518518...
(iv)

5.14814814814814...
(v)

25.88888888888888...

Assignment Key