EduSahara™ Worksheet

Question 1

1.

Find the period of the recurring decimal
16.
2

(i)

2
(ii)

1
(iii)

20
(iv)

0

Question 2

2.

Find the period of the recurring decimal
30.44444444444444...

(i)

4
(ii)

40
(iii)

2
(iv)

0
(v)

1

Question 3

3.

Find the periodicity of the recurring decimal
0.
3

(i)

-1
(ii)

0
(iii)

2
(iv)

1
(v)

3

Question 4

4.

Find the periodicity of the recurring decimal
0.33333333333333...

(i)

0
(ii)

1
(iii)

2
(iv)

3
(v)

-1

Question 5

5.

The recurring part of the decimal
7.
074
is

(i)

07407
(ii)

074
(iii)

0740074
(iv)

074074
(v)

7.074

Question 6

6.

The recurring part of the decimal
7.14814814814814...
is

(i)

1481148
(ii)

14817
(iii)

148148
(iv)

7.148
(v)

148

Question 7

7.

Convert the non-terminating recurring decimal
2.
962
to rational number

(i)

80
27
(ii)

82
27
(iii)

26
9
(iv)

16
5
(v)

80
29

Question 8

8.

Convert the non-terminating recurring decimal
22.90476190476190...

to rational number

(i)

479
21
(ii)

481
19
(iii)

481
23
(iv)

23
(v)

481
21

Question 9

9.

Convert the fraction
1
3
to non-terminating recurring decimal

(i)

0.0
3
(ii)

33.
3
(iii)

0.
3
(iv)

3.
3
(v)

0.
0

Question 10

10.

Convert the fraction
292
27
to non-terminating recurring decimal

(i)

108.
148
(ii)

1081.
481
(iii)

1.0
814
(iv)

10.
814
(v)

0.10
814

Question 11

11.

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

(i)

1615
8
(ii)

4522
40
(iii)

6460
64
(iv)

1631
16
(v)

239
18

Question 12

12.

Which of the following fractions converts to a terminating decimal?

(i)

97
9
(ii)

146
99
(iii)

1200
125
(iv)

146
9
(v)

73
45

Question 13

13.

Which of the following is a pure recurring decimal?

(i)

0.43333333333333...
(ii)

19.38888888888888...
(iii)

20.55555555555555...
(iv)

11.61111111111111...
(v)

27.38888888888888...

Question 14

14.

Which of the following is a mixed recurring decimal?

(i)

21.88888888888888...
(ii)

26.05555555555555...
(iii)

8.88888888888888...
(iv)

22.85185185185185...
(v)

0.33333333333333...

Question 15

15.

Find the period of the recurring decimal
19.0
5

(i)

0
(ii)

2
(iii)

5
(iv)

50
(v)

1

Question 16

16.

Find the period of the recurring decimal
17.22222222222222...

(i)

2
(ii)

20
(iii)

1
(iv)

0

Question 17

17.

Find the periodicity of the recurring decimal
15.
629

(i)

1
(ii)

629
(iii)

2
(iv)

3
(v)

4

Question 18

18.

Find the periodicity of the recurring decimal
29.88888888888888...

(i)

1
(ii)

2
(iii)

8
(iv)

-1
(v)

0

Question 19

19.

The recurring part of the decimal
13.
238095
is

(i)

23809521
(ii)

13.238095
(iii)

238095238095
(iv)

2380952238095
(v)

238095

Question 20

20.

The recurring part of the decimal
6.23809523809523...
is

(i)

238095238095
(ii)

6.238095
(iii)

2380952238095
(iv)

23809526
(v)

238095

Question 21

21.

Convert the non-terminating recurring decimal
15.
8
to rational number

(i)

47
3
(ii)

145
9
(iii)

143
7
(iv)

143
9
(v)

13

Question 22

22.

Convert the non-terminating recurring decimal
4.22222222222222...

to rational number

(i)

40
9
(ii)

4
(iii)

38
11
(iv)

38
9
(v)

38
7

Question 23

23.

Convert the fraction
14
9
to non-terminating recurring decimal

(i)

0.1
5
(ii)

1.
5
(iii)

15.
5
(iv)

155.
5
(v)

0.01
5

Question 24

24.

Convert the fraction
22
21
to non-terminating recurring decimal

(i)

104.
761904
(ii)

10.
476190
(iii)

1.
047619
(iv)

0.1
047619
(v)

0.01
047619

Question 25

25.

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

(i)

285
32
(ii)

349
64
(iii)

4845
16
(iv)

307
18
(v)

2280
512

Question 26

26.

Which of the following fractions converts to a terminating decimal?

(i)

349
18
(ii)

325
342
(iii)

65
18
(iv)

325
18
(v)

3300
100

Question 27

27.

Which of the following is a pure recurring decimal?

(i)

0.43333333333333...
(ii)

7.72222222222222...
(iii)

25.27777777777777...
(iv)

28.44444444444444...
(v)

19.05555555555555...

Question 28

28.

Which of the following is a mixed recurring decimal?

(i)

0.33333333333333...
(ii)

30.88888888888888...
(iii)

2.22222222222222...
(iv)

3.72222222222222...
(v)

5.92592592592592...

Assignment Key