EduSahara™ Worksheet

Question 1

1.

Find the period of the recurring decimal
0.
3

(i)

3
(ii)

0
(iii)

30
(iv)

1
(v)

2

Question 2

2.

Find the period of the recurring decimal
13.47619047619047...

(i)

4761900
(ii)

6
(iii)

7
(iv)

47619
(v)

476190

Question 3

3.

Find the periodicity of the recurring decimal
24.
7

(i)

-1
(ii)

7
(iii)

0
(iv)

1
(v)

2

Question 4

4.

Find the periodicity of the recurring decimal
6.55555555555555...

(i)

2
(ii)

0
(iii)

-1
(iv)

5
(v)

1

Question 5

5.

The recurring part of the decimal
14.6
1
is

(i)

161
(ii)

14.61
(iii)

1
(iv)

111
(v)

11

Question 6

6.

The recurring part of the decimal
3.22222222222222...
is

(i)

3.2
(ii)

22
(iii)

222
(iv)

223
(v)

2

Question 7

7.

Convert the non-terminating recurring decimal
13.
7
to rational number

(i)

14
(ii)

124
9
(iii)

124
11
(iv)

124
7
(v)

122
9

Question 8

8.

Convert the non-terminating recurring decimal
29.92592592592592...

to rational number

(i)

806
27
(ii)

808
29
(iii)

30
(iv)

808
27
(v)

808
25

Question 9

9.

Convert the fraction
721
27
to non-terminating recurring decimal

(i)

26.
703
(ii)

267.
037
(iii)

2.6
703
(iv)

0.26
703
(v)

2670.
370

Question 10

10.

Convert the fraction
1
3
to non-terminating recurring decimal

(i)

3.
3
(ii)

0.0
3
(iii)

0.
0
(iv)

0.
3
(v)

33.
3

Question 11

11.

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

(i)

450
1
(ii)

3600
16
(iii)

1800
32
(iv)

181
18
(v)

226
1

Question 12

12.

Which of the following fractions converts to a terminating decimal?

(i)

49
45
(ii)

3230
32
(iii)

365
18
(iv)

98
117
(v)

98
9

Question 13

13.

Which of the following is a pure recurring decimal?

(i)

2.72222222222222...
(ii)

6.38888888888888...
(iii)

17.05555555555555...
(iv)

28.04761904761904...
(v)

28.38888888888888...

Question 14

14.

Which of the following is a mixed recurring decimal?

(i)

16.55555555555555...
(ii)

23.04761904761904...
(iii)

17.51851851851851...
(iv)

15.27777777777777...
(v)

29.55555555555555...

Question 15

15.

Find the period of the recurring decimal
0.
3

(i)

2
(ii)

3
(iii)

0
(iv)

1
(v)

30

Question 16

16.

Find the period of the recurring decimal
26.88888888888888...

(i)

2
(ii)

80
(iii)

1
(iv)

0
(v)

8

Question 17

17.

Find the periodicity of the recurring decimal
20.
1

(i)

2
(ii)

1
(iii)

0
(iv)

-1

Question 18

18.

Find the periodicity of the recurring decimal
0.33333333333333...

(i)

0
(ii)

2
(iii)

3
(iv)

-1
(v)

1

Question 19

19.

The recurring part of the decimal
13.
1
is

(i)

111
(ii)

13.1
(iii)

11
(iv)

1

Question 20

20.

The recurring part of the decimal
1.95238095238095...
is

(i)

1.952380
(ii)

952380952380
(iii)

95238091
(iv)

9523809952380
(v)

952380

Question 21

21.

Convert the non-terminating recurring decimal
25.0
5
to rational number

(i)

451
18
(ii)

151
6
(iii)

451
16
(iv)

449
18
(v)

451
20

Question 22

22.

Convert the non-terminating recurring decimal
9.61111111111111...

to rational number

(i)

173
20
(ii)

173
16
(iii)

19
2
(iv)

175
18
(v)

173
18

Question 23

23.

Convert the fraction
155
21
to non-terminating recurring decimal

(i)

7.
380952
(ii)

73.
809523
(iii)

0.07
380952
(iv)

738.
095238
(v)

0.7
380952

Question 24

24.

Convert the fraction
266
9
to non-terminating recurring decimal

(i)

0.29
5
(ii)

295.
5
(iii)

2955.
5
(iv)

29.
5
(v)

2.9
5

Question 25

25.

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

(i)

1
3
(ii)

1373
8
(iii)

1365
4
(iv)

3400
32
(v)

2730
16

Question 26

26.

Which of the following fractions converts to a terminating decimal?

(i)

1
15
(ii)

1
3
(iii)

4800
80
(iv)

289
18
(v)

1
39

Question 27

27.

Which of the following is a pure recurring decimal?

(i)

6.04761904761904...
(ii)

11.38888888888888...
(iii)

15.27777777777777...
(iv)

12.27777777777777...
(v)

6.72222222222222...

Question 28

28.

Which of the following is a mixed recurring decimal?

(i)

3.62962962962962...
(ii)

18.44444444444444...
(iii)

4.38888888888888...
(iv)

22.59259259259259...
(v)

28.44444444444444...

Assignment Key