PLC Papers
Created For:
Year 11 Topic Practice Paper: Recurring Decimals
Recurring Decimals 1
Grade 7
Objective: Change recurring decimals into fractions and vice versa.
Question1
2
a) Change into a decimal.
9
(2)
b) Is the answer from part a recurring decimal or a terminating decimal? Explain your choice below.
(2)
Question 2
.
Change 0.37 into a fraction.
(2)
Question 3
..
Change 0.47 into a fraction.
(2)
PiXL PLC 2017 Certification
Question 4
...
Convert the recurring decimal 0.178 in to a fraction.
(2)
Total /10
PiXL PLC 2017 Certification
Recurring Decimals 2
Grade 7
Objective: Change recurring decimals into fractions and vice versa.
Question1
a) Change
15
24
into a decimal.
(2)
b) Is the answer from part a recurring decimal or a terminating decimal? Explain your choice below.
(2)
Question 2
.
Change 0.307 into a fraction.
(2)
Question 3
..
Change 0.047 into a fraction.
(2)
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Question 4
..
Convert the recurring decimal 0.78 in to a fraction.
(2)
Total /10
PiXL PLC 2017 Certification
Recurring Decimals 3
Grade 7
Objective: Change recurring decimals into fractions and vice versa.
Question1
a) Change
3
7
into a decimal.
(2)
b) Is the answer from part a recurring decimal or a terminating decimal? Explain your choice below.
(2)
Question 2
.
Change 0.48 into a fraction.
(2)
Question 3
..
Change 0.23 into a fraction.
(2)
PiXL PLC 2017 Certification
Question 4
..
Convert the recurring decimal 0.257 into a fraction.
(2)
Total /10
PiXL PLC 2017 Certification
Recurring Decimals 4
Grade 7
Objective: Change recurring decimals into fractions and vice versa.
Question1
7
a) Change into a decimal.
9
(2)
b) Is the answer from part a recurring decimal or a terminating decimal? Explain your choice below.
(2)
Question 2
.
Change 0.409 into a fraction.
(2)
PiXL PLC 2017 Certification
Question 3
..
Change 0.056 into a fraction.
(2)
Question 4
..
Convert the recurring decimal 0.43 into a fraction.
(2)
Total /10
PiXL PLC 2017 Certification
PLC Papers
Created For:
Year 11 Topic Practice Paper: Recurring Decimals
Recurring Decimals 1
Grade 7
Solutions
Objective: Change recurring decimals into fractions and vice versa.
Question1
2
a) Change into a decimal.
9
0.222222222……
(2)
b) Is the answer from part a recurring decimal or a terminating decimal? Explain your choice below.
Reocurring- the decimal goes on infinitely. (A2)
(2)
Question 2
.
Change 0.37 into a fraction.
X = 0. 37 37 37
100 x = 37.37 37
(2) –(1) = 37/99
- (1)
- (2)
(M1)
(A1)
(2)
PiXL PLC 2017 Certification
Question 3
..
Change 0.47 into a fraction.
X = 0.47 47 47
100X = 47. 47 47 47
(2) – (1) = 47/99
-(1)
-(2)
(A1)
(M1)
(2)
Question 4
...
Convert the recurring decimal 0.178 in to a fraction.
X= 0.178 178 178
1000 X= 178. 178 178 178
(2) – (1) = 178/999
-(1)
-(2)
(M1)
(A1)
(2)
Total /10
PiXL PLC 2017 Certification
Recurring Decimals 2
Grade 7
Solutions
Objective: Change recurring decimals into fractions and vice versa.
Question1
a) Change
15
24
into a decimal.
(M1)
0.625 (A1)
(2)
b) Is the answer from part a recurring decimal or a terminating decimal? Explain your choice below.
Terminating, as the decimal doesn’t go on for infinity place values. (A2)
(2)
Question 2
.
Change 0.307 into a fraction.
1000X= 307.7777
100X = 30.777
(2)-(1)
-(1)
-(2)
900X = 277 (M1)
X = 277/900 (A1)
(2)
PiXL PLC 2017 Certification
Question 3
..
Change 0.047 into a fraction.
X= 0.0474747
-(1)
100X = 4.7474747 -(2)
(2) – (1)
99X = 4.7
(M1)
X=47/990
(A1)
(2)
Question 4
..
Convert the recurring decimal 0.78 in to a fraction.
X= 0.78 78 78
-(1)
100X = 78.78 78 78 -(2)
(2) – (1)
99 X = 78
X = 26/33
(M1)
(A1)
(2)
Total /10
PiXL PLC 2017 Certification
Recurring Decimals 3
Grade 7
Solutions
Objective: Change recurring decimals into fractions and vice versa.
Question1
a) Change
3
7
into a decimal.
(M1)
0.428 (A1)
(2)
b) Is the answer from part a recurring decimal or a terminating decimal? Explain your choice below.
Reoccuring decimal- decimal goes on forever.
(A2)
(2)
Question 2
.
Change 0.48 into a fraction.
X= 0.48 8 8 –(1)
100X= 48. 8 8 8
-(2)
(2)-(1)
99X = 48
(M1)
X= 48/99
X=16/33
(A1)
PiXL PLC 2017 Certification
(2)
Question 3
..
Change 0.23 into a fraction.
X= 0.23 23 23
-(1)
100X = 23. 23 23 23 -(2)
(2)-(1)
99X= 23
(M1)
X= 23/99
(A1)
(2)
Question 4
..
Convert the recurring decimal 0.257 into a fraction.
X=0.257 57 57
-(1)
1000X= 257.57 57 57 -(2)
999X= 257 (M1)
X=257/999 (A1)
(2)
Total /10
PiXL PLC 2017 Certification
Recurring Decimals 4
Grade 7 Solutions
Objective: Change recurring decimals into fractions and vice versa.
Question1
7
a) Change into a decimal.
9
(M1)
0.7777777(A1)
(2)
b) Is the answer from part a recurring decimal or a terminating decimal? Explain your choice below.
Reocurring decimal- the decimal goes on forever.
(A2)
(2)
PiXL PLC 2017 Certification
Question 2
.
Change 0.409 into a fraction.
X= 0.409 9 9 -(1)
10X = 4.09 9 9 -(2)
(2)-(1)
9X = 3.69
900X= 369
(M1)
X = 369/900 (A1)
(2)
Question 3
..
Change 0.056 into a fraction.
X= 0.056 56 56 -(1)
1000X=56.56 56 -(2)
(2)-(1)
999X = 56
X= 56/999
(M1)
(A1)
(2)
PiXL PLC 2017 Certification
Question 4
..
Convert the recurring decimal 0.43 into a fraction.
X= 0.43 43 43 -(1)
100X = 43. 43 43
-(2)
(2)-(1)
99X= 43
(M1)
X= 43/99
(A1)
(2)
Total /10
PiXL PLC 2017 Certification