EduSahara™ Worksheet

Question 1

1.

Find the period of the recurring decimal
5.
7

(i)

0
(ii)

7
(iii)

2
(iv)

1
(v)

70

Question 2

2.

Find the period of the recurring decimal
8.95238095238095...

(i)

9523800
(ii)

7
(iii)

952380
(iv)

6
(v)

95238

Question 3

3.

Find the periodicity of the recurring decimal
30.
259

(i)

2
(ii)

1
(iii)

4
(iv)

3
(v)

259

Question 4

4.

Find the periodicity of the recurring decimal
3.51851851851851...

(i)

4
(ii)

2
(iii)

3
(iv)

518
(v)

1

Question 5

5.

The recurring part of the decimal
1.
8
is

(i)

881
(ii)

8
(iii)

1.8
(iv)

888
(v)

88

Question 6

6.

The recurring part of the decimal
17.59259259259259...
is

(i)

592
(ii)

59251
(iii)

5925592
(iv)

17.592
(v)

592592

Question 7

7.

Convert the non-terminating recurring decimal
11.
904761
to rational number

(i)

250
19
(ii)

248
21
(iii)

250
23
(iv)

250
21
(v)

12

Question 8

8.

Convert the non-terminating recurring decimal
4.44444444444444...

to rational number

(i)

38
9
(ii)

40
11
(iii)

40
9
(iv)

14
3
(v)

40
7

Question 9

9.

Convert the fraction
70
9
to non-terminating recurring decimal

(i)

0.
7
(ii)

777.
7
(iii)

77.
7
(iv)

7.
7
(v)

0.0
7

Question 10

10.

Convert the fraction
214
21
to non-terminating recurring decimal

(i)

1.0
190476
(ii)

10.
190476
(iii)

101.
904761
(iv)

1019.
047619
(v)

0.10
190476

Question 11

11.

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

(i)

1123
40
(ii)

4332
160
(iii)

1083
20
(iv)

3600
200
(v)

1
3

Question 12

12.

Which of the following fractions converts to a terminating decimal?

(i)

1
3
(ii)

1
42
(iii)

115
9
(iv)

2640
128
(v)

1
15

Question 13

13.

Which of the following is a pure recurring decimal?

(i)

19.72222222222222...
(ii)

28.61111111111111...
(iii)

0.43333333333333...
(iv)

17.48148148148148...
(v)

3.38888888888888...

Question 14

14.

Which of the following is a mixed recurring decimal?

(i)

22.23809523809523...
(ii)

18.88888888888888...
(iii)

20.77777777777777...
(iv)

4.29629629629629...
(v)

2.61111111111111...

Question 15

15.

Find the period of the recurring decimal
26.
2

(i)

0
(ii)

2
(iii)

20
(iv)

1

Question 16

16.

Find the period of the recurring decimal
30.18518518518518...

(i)

3
(ii)

18
(iii)

185
(iv)

1850
(v)

4

Question 17

17.

Find the periodicity of the recurring decimal
30.
629

(i)

4
(ii)

1
(iii)

2
(iv)

3
(v)

629

Question 18

18.

Find the periodicity of the recurring decimal
0.33333333333333...

(i)

1
(ii)

2
(iii)

-1
(iv)

3
(v)

0

Question 19

19.

The recurring part of the decimal
6.
619047
is

(i)

6190476619047
(ii)

619047619047
(iii)

619047
(iv)

61904766
(v)

6.619047

Question 20

20.

The recurring part of the decimal
12.44444444444444...
is

(i)

12.4
(ii)

44
(iii)

4
(iv)

444
(v)

441

Question 21

21.

Convert the non-terminating recurring decimal
19.
481
to rational number

(i)

526
27
(ii)

526
25
(iii)

524
27
(iv)

526
29
(v)

176
9

Question 22

22.

Convert the non-terminating recurring decimal
13.77777777777777...

to rational number

(i)

14
(ii)

124
9
(iii)

124
7
(iv)

122
9
(v)

124
11

Question 23

23.

Convert the fraction
553
27
to non-terminating recurring decimal

(i)

0.20
481
(ii)

20.
481
(iii)

2.0
481
(iv)

2048.
148
(v)

204.
814

Question 24

24.

Convert the fraction
1
3
to non-terminating recurring decimal

(i)

0.
0
(ii)

3.
3
(iii)

0.
3
(iv)

0.0
3
(v)

33.
3

Question 25

25.

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

(i)

1980
200
(ii)

131
9
(iii)

2160
125
(iv)

457
25
(v)

864
25

Question 26

26.

Which of the following fractions converts to a terminating decimal?

(i)

169
9
(ii)

92
81
(iii)

92
9
(iv)

92
135
(v)

2652
40

Question 27

27.

Which of the following is a pure recurring decimal?

(i)

1.27777777777777...
(ii)

15.88888888888888...
(iii)

9.61111111111111...
(iv)

12.38888888888888...
(v)

30.38888888888888...

Question 28

28.

Which of the following is a mixed recurring decimal?

(i)

23.52380952380952...
(ii)

28.44444444444444...
(iii)

6.40740740740740...
(iv)

18.44444444444444...
(v)

13.94444444444444...

Assignment Key