EduSahara™ Worksheet

Question 1

1.

Find the period of the recurring decimal
8.
8

(i)

0
(ii)

80
(iii)

1
(iv)

8
(v)

2

Question 2

2.

Find the period of the recurring decimal
29.19047619047618...

(i)

7
(ii)

6
(iii)

1904760
(iv)

19047
(v)

190476

Question 3

3.

Find the periodicity of the recurring decimal
16.
4

(i)

-1
(ii)

1
(iii)

4
(iv)

0
(v)

2

Question 4

4.

Find the periodicity of the recurring decimal
27.81481481481481...

(i)

1
(ii)

3
(iii)

4
(iv)

814
(v)

2

Question 5

5.

The recurring part of the decimal
16.9
4
is

(i)

494
(ii)

4
(iii)

44
(iv)

441
(v)

16.94

Question 6

6.

The recurring part of the decimal
1.38888888888888...
is

(i)

1.38
(ii)

838
(iii)

8
(iv)

881
(v)

88

Question 7

7.

Convert the non-terminating recurring decimal
13.
761904
to rational number

(i)

289
23
(ii)

289
19
(iii)

41
3
(iv)

97
7
(v)

289
21

Question 8

8.

Convert the non-terminating recurring decimal
10.81481481481481...

to rational number

(i)

290
27
(ii)

292
25
(iii)

292
29
(iv)

98
9
(v)

292
27

Question 9

9.

Convert the fraction
151
9
to non-terminating recurring decimal

(i)

1.6
7
(ii)

0.16
7
(iii)

16.
7
(iv)

167.
7
(v)

1677.
7

Question 10

10.

Convert the fraction
778
27
to non-terminating recurring decimal

(i)

28.
814
(ii)

288.
148
(iii)

2881.
481
(iv)

2.
8
(v)

0.2
8

Question 11

11.

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

(i)

65
2
(ii)

5760
32
(iii)

2600
160
(iv)

69
4
(v)

1
3

Question 12

12.

Which of the following fractions converts to a terminating decimal?

(i)

128
9
(ii)

6400
200
(iii)

128
99
(iv)

256
153
(v)

154
9

Question 13

13.

Which of the following is a pure recurring decimal?

(i)

29.55555555555555...
(ii)

13.05555555555555...
(iii)

9.38888888888888...
(iv)

13.72222222222222...
(v)

16.61111111111111...

Question 14

14.

Which of the following is a mixed recurring decimal?

(i)

19.22222222222222...
(ii)

26.38888888888888...
(iii)

13.62962962962962...
(iv)

23.96296296296296...
(v)

22.14814814814814...

Question 15

15.

Find the period of the recurring decimal
24.
962

(i)

4
(ii)

9620
(iii)

3
(iv)

96
(v)

962

Question 16

16.

Find the period of the recurring decimal
0.33333333333333...

(i)

1
(ii)

2
(iii)

30
(iv)

3
(v)

0

Question 17

17.

Find the periodicity of the recurring decimal
3.
518

(i)

518
(ii)

3
(iii)

1
(iv)

2
(v)

4

Question 18

18.

Find the periodicity of the recurring decimal
1.22222222222222...

(i)

-1
(ii)

2
(iii)

1
(iv)

0

Question 19

19.

The recurring part of the decimal
0.
3
is

(i)

330
(ii)

333
(iii)

0.3
(iv)

33
(v)

3

Question 20

20.

The recurring part of the decimal
9.74074074074074...
is

(i)

74079
(ii)

740740
(iii)

7407740
(iv)

9.740
(v)

740

Question 21

21.

Convert the non-terminating recurring decimal
24.
904761
to rational number

(i)

523
21
(ii)

25
(iii)

523
23
(iv)

523
19
(v)

521
21

Question 22

22.

Convert the non-terminating recurring decimal
11.05555555555555...

to rational number

(i)

199
18
(ii)

67
6
(iii)

197
18
(iv)

199
20
(v)

199
16

Question 23

23.

Convert the fraction
241
9
to non-terminating recurring decimal

(i)

267.
7
(ii)

0.26
7
(iii)

2.6
7
(iv)

2677.
7
(v)

26.
7

Question 24

24.

Convert the fraction
107
27
to non-terminating recurring decimal

(i)

39.
629
(ii)

0.3
962
(iii)

0.03
962
(iv)

396.
296
(v)

3.
962

Question 25

25.

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

(i)

263
18
(ii)

3192
256
(iii)

3510
100
(iv)

431
32
(v)

399
16

Question 26

26.

Which of the following fractions converts to a terminating decimal?

(i)

1
3
(ii)

1
24
(iii)

1
30
(iv)

4199
64

Question 27

27.

Which of the following is a pure recurring decimal?

(i)

29.05555555555555...
(ii)

5.29629629629629...
(iii)

26.94444444444444...
(iv)

9.72222222222222...
(v)

11.94444444444444...

Question 28

28.

Which of the following is a mixed recurring decimal?

(i)

16.52380952380952...
(ii)

12.11111111111111...
(iii)

14.52380952380952...
(iv)

0.33333333333333...
(v)

0.43333333333333...

Assignment Key