EduSahara™ Worksheet

Question 1

1.

Find the period of the recurring decimal
20.
4

(i)

0
(ii)

4
(iii)

40
(iv)

2
(v)

1

Question 2

2.

Find the period of the recurring decimal
19.29629629629629...

(i)

3
(ii)

29
(iii)

2960
(iv)

4
(v)

296

Question 3

3.

Find the periodicity of the recurring decimal
5.
962

(i)

2
(ii)

3
(iii)

962
(iv)

1
(v)

4

Question 4

4.

Find the periodicity of the recurring decimal
20.48148148148148...

(i)

481
(ii)

2
(iii)

1
(iv)

3
(v)

4

Question 5

5.

The recurring part of the decimal
3.0
5
is

(i)

5
(ii)

505
(iii)

3.05
(iv)

553
(v)

55

Question 6

6.

The recurring part of the decimal
11.62962962962962...
is

(i)

629629
(ii)

629
(iii)

11.629
(iv)

62961
(v)

6296629

Question 7

7.

Convert the non-terminating recurring decimal
30.
259
to rational number

(i)

815
27
(ii)

91
3
(iii)

817
27
(iv)

817
25
(v)

817
29

Question 8

8.

Convert the non-terminating recurring decimal
7.88888888888888...

to rational number

(i)

71
9
(ii)

73
9
(iii)

71
11
(iv)

71
7
(v)

23
3

Question 9

9.

Convert the fraction
418
27
to non-terminating recurring decimal

(i)

1.5
481
(ii)

0.15
481
(iii)

154.
814
(iv)

15.
481
(v)

1548.
148

Question 10

10.

Convert the fraction
643
21
to non-terminating recurring decimal

(i)

30.
619047
(ii)

0.30
619047
(iii)

3061.
904761
(iv)

306.
190476
(v)

3.0
619047

Question 11

11.

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

(i)

125
9
(ii)

396
1
(iii)

3960
20
(iv)

1920
128
(v)

199
1

Question 12

12.

Which of the following fractions converts to a terminating decimal?

(i)

146
9
(ii)

73
45
(iii)

1872
64
(iv)

73
63
(v)

359
18

Question 13

13.

Which of the following is a pure recurring decimal?

(i)

1.38888888888888...
(ii)

7.74074074074074...
(iii)

19.94444444444444...
(iv)

20.94444444444444...
(v)

1.94444444444444...

Question 14

14.

Which of the following is a mixed recurring decimal?

(i)

3.25925925925925...
(ii)

12.11111111111111...
(iii)

13.95238095238095...
(iv)

16.05555555555555...
(v)

11.44444444444444...

Question 15

15.

Find the period of the recurring decimal
17.3
8

(i)

8
(ii)

2
(iii)

80
(iv)

0
(v)

1

Question 16

16.

Find the period of the recurring decimal
15.77777777777777...

(i)

1
(ii)

0
(iii)

2
(iv)

7
(v)

70

Question 17

17.

Find the periodicity of the recurring decimal
8.
1

(i)

-1
(ii)

2
(iii)

1
(iv)

0

Question 18

18.

Find the periodicity of the recurring decimal
20.29629629629629...

(i)

4
(ii)

3
(iii)

2
(iv)

1
(v)

296

Question 19

19.

The recurring part of the decimal
20.7
2
is

(i)

20.72
(ii)

22
(iii)

222
(iv)

272
(v)

2

Question 20

20.

The recurring part of the decimal
3.22222222222222...
is

(i)

22
(ii)

223
(iii)

3.2
(iv)

2
(v)

222

Question 21

21.

Convert the non-terminating recurring decimal
21.2
7
to rational number

(i)

383
16
(ii)

127
6
(iii)

385
18
(iv)

383
20
(v)

383
18

Question 22

22.

Convert the non-terminating recurring decimal
0.33333333333333...

to rational number

(i)

1
3
(ii)

(
-1
3
)
(iii)

1
(iv)

1
5

Question 23

23.

Convert the fraction
185
9
to non-terminating recurring decimal

(i)

2055.
5
(ii)

20.
5
(iii)

205.
5
(iv)

0.20
5
(v)

2.0
5

Question 24

24.

Convert the fraction
80
27
to non-terminating recurring decimal

(i)

29.
629
(ii)

2.
962
(iii)

296.
296
(iv)

0.
296
(v)

0.0
296

Question 25

25.

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

(i)

429
4
(ii)

103
9
(iii)

425
2
(iv)

3400
32
(v)

2160
160

Question 26

26.

Which of the following fractions converts to a terminating decimal?

(i)

1870
64
(ii)

359
18
(iii)

311
18
(iv)

311
99
(v)

311
360

Question 27

27.

Which of the following is a pure recurring decimal?

(i)

18.81481481481481...
(ii)

0.43333333333333...
(iii)

8.38888888888888...
(iv)

19.94444444444444...

Question 28

28.

Which of the following is a mixed recurring decimal?

(i)

28.88888888888888...
(ii)

19.22222222222222...
(iii)

13.72222222222222...
(iv)

7.25925925925925...
(v)

11.47619047619047...

Assignment Key