EduSahara™ Worksheet

Question 1

1.

Find the period of the recurring decimal
4.
8

(i)

1
(ii)

2
(iii)

0
(iv)

80
(v)

8

Question 2

2.

Find the period of the recurring decimal
0.33333333333333...

(i)

2
(ii)

0
(iii)

1
(iv)

3
(v)

30

Question 3

3.

Find the periodicity of the recurring decimal
26.
2

(i)

2
(ii)

1
(iii)

-1
(iv)

0

Question 4

4.

Find the periodicity of the recurring decimal
23.14814814814814...

(i)

1
(ii)

3
(iii)

148
(iv)

2
(v)

4

Question 5

5.

The recurring part of the decimal
6.
8
is

(i)

886
(ii)

888
(iii)

88
(iv)

6.8
(v)

8

Question 6

6.

The recurring part of the decimal
15.18518518518518...
is

(i)

185185
(ii)

18511
(iii)

15.185
(iv)

1851185
(v)

185

Question 7

7.

Convert the non-terminating recurring decimal
21.
8
to rational number

(i)

197
7
(ii)

197
9
(iii)

197
11
(iv)

199
9
(v)

65
3

Question 8

8.

Convert the non-terminating recurring decimal
3.51851851851851...

to rational number

(i)

95
29
(ii)

95
27
(iii)

19
5
(iv)

31
9
(v)

97
27

Question 9

9.

Convert the fraction
509
27
to non-terminating recurring decimal

(i)

0.1
8
(ii)

1885.
185
(iii)

1.
8
(iv)

188.
518
(v)

18.
851

Question 10

10.

Convert the fraction
1
3
to non-terminating recurring decimal

(i)

3.
3
(ii)

0.
0
(iii)

33.
3
(iv)

0.
3
(v)

0.0
3

Question 11

11.

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

(i)

24
1
(ii)

13
1
(iii)

2816
160
(iv)

269
18
(v)

3840
320

Question 12

12.

Which of the following fractions converts to a terminating decimal?

(i)

151
9
(ii)

1
3
(iii)

151
153
(iv)

302
171
(v)

4446
32

Question 13

13.

Which of the following is a pure recurring decimal?

(i)

13.61111111111111...
(ii)

16.61111111111111...
(iii)

12.05555555555555...
(iv)

6.05555555555555...
(v)

27.92592592592592...

Question 14

14.

Which of the following is a mixed recurring decimal?

(i)

17.77777777777777...
(ii)

3.38888888888888...
(iii)

14.55555555555555...
(iv)

29.07407407407407...
(v)

17.55555555555555...

Question 15

15.

Find the period of the recurring decimal
28.
1

(i)

10
(ii)

2
(iii)

1
(iv)

0

Question 16

16.

Find the period of the recurring decimal
0.33333333333333...

(i)

3
(ii)

30
(iii)

2
(iv)

1
(v)

0

Question 17

17.

Find the periodicity of the recurring decimal
10.
4

(i)

1
(ii)

2
(iii)

-1
(iv)

4
(v)

0

Question 18

18.

Find the periodicity of the recurring decimal
28.70370370370370...

(i)

4
(ii)

1
(iii)

703
(iv)

3
(v)

2

Question 19

19.

The recurring part of the decimal
10.
952380
is

(i)

952380
(ii)

95238091
(iii)

9523809952380
(iv)

952380952380
(v)

10.952380

Question 20

20.

The recurring part of the decimal
15.19047619047618...
is

(i)

190476190476
(ii)

1904761190476
(iii)

19047611
(iv)

15.190476
(v)

190476

Question 21

21.

Convert the non-terminating recurring decimal
23.2
7
to rational number

(i)

419
18
(ii)

419
16
(iii)

419
20
(iv)

139
6
(v)

421
18

Question 22

22.

Convert the non-terminating recurring decimal
7.27777777777777...

to rational number

(i)

131
20
(ii)

131
16
(iii)

133
18
(iv)

43
6
(v)

131
18

Question 23

23.

Convert the fraction
478
21
to non-terminating recurring decimal

(i)

227.
619047
(ii)

22.
761904
(iii)

0.
2
(iv)

2.2
761904
(v)

2276.
190476

Question 24

24.

Convert the fraction
244
21
to non-terminating recurring decimal

(i)

0.
1
(ii)

1.1
619047
(iii)

1161.
904761
(iv)

11.
619047
(v)

116.
190476

Question 25

25.

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

(i)

277
4
(ii)

1210
256
(iii)

2184
32
(iv)

319
18
(v)

273
2

Question 26

26.

Which of the following fractions converts to a terminating decimal?

(i)

118
9
(ii)

1815
160
(iii)

323
18
(iv)

59
81
(v)

236
117

Question 27

27.

Which of the following is a pure recurring decimal?

(i)

12.61111111111111...
(ii)

4.94444444444444...
(iii)

14.61111111111111...
(iv)

30.72222222222222...
(v)

14.88888888888888...

Question 28

28.

Which of the following is a mixed recurring decimal?

(i)

4.61111111111111...
(ii)

0.33333333333333...
(iii)

14.04761904761904...
(iv)

14.76190476190476...
(v)

5.44444444444444...

Assignment Key