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1 Convert 2 to a decimal. ..
11 Prove algebraically that the recurring decimal 0.216 can be written as
8
9 37
(2 marks)
(2 marks)
2 Convert 4 to a decimal.
11 12
..
Prove algebraically that the recurring decimal 0.126 can be written as
14
111
(2 marks)
(2 marks)
3 Convert 5 to a decimal.
6 13
..
Write 3.254 as a fraction in its simplest form.
(2 marks)
. 8
(3 marks)
4 Prove algebraically that the recurring decimal 0.8 can be written as
9
14
..
Write 2.742 as a fraction in its simplest form.
(2 marks)
. 43
(3 marks)
5 Prove algebraically that the recurring decimal 0.47 can be written as
90
15
..
Write 3.594 as a fraction in its simplest form.
(2 marks)
. 7 (3 marks)
6 Prove algebraically that the recurring decimal 0.23 can be written as
30
16 x is an integer such that 1 ≤ x ≤ 9
.
(2 marks)
..
Prove that 0.0x = x
7 Write 0.16 as a fraction in its simplest form. 99 (2 marks)
(2 marks) .. .
8
.
Write 0.27 as a fraction in its simplest form.
17 Work out: 0.54 × 0.5
(2 marks) (4 marks)
. 18 Work out:
.. ..
0.39 ÷ 0.63
9 Write 0.43 as a fraction in its simplest form.
(2 marks) (4 marks)
..
10 Prove algebraically that the recurring decimal 0.681 can be written as
15 19 Work out:
. ..
0.07 ÷ 0.185
22
(2 marks) (4 marks)
Grade 6 Recurring Decimals Grade 6
1 Convert 2 to a decimal. ..
11 Prove algebraically that the recurring decimal 0.216 can be written as
8
9 37
(2 marks)
(2 marks)
2 Convert 4 to a decimal.
11 12
..
Prove algebraically that the recurring decimal 0.126 can be written as
14
111
(2 marks)
(2 marks)
3 Convert 5 to a decimal.
6 13
..
Write 3.254 as a fraction in its simplest form.
(2 marks)
. 8
(3 marks)
4 Prove algebraically that the recurring decimal 0.8 can be written as
9
14
..
Write 2.742 as a fraction in its simplest form.
(2 marks)
. 43
(3 marks)
5 Prove algebraically that the recurring decimal 0.47 can be written as
90
15
..
Write 3.594 as a fraction in its simplest form.
(2 marks)
. 7 (3 marks)
6 Prove algebraically that the recurring decimal 0.23 can be written as
30
16 x is an integer such that 1 ≤ x ≤ 9
.
(2 marks)
..
Prove that 0.0x = x
7 Write 0.16 as a fraction in its simplest form. 99 (2 marks)
(2 marks) .. .
8
.
Write 0.27 as a fraction in its simplest form.
17 Work out: 0.54 × 0.5
(2 marks) (4 marks)
. 18 Work out:
.. ..
0.39 ÷ 0.63
9 Write 0.43 as a fraction in its simplest form.
(2 marks) (4 marks)
..
10 Prove algebraically that the recurring decimal 0.681 can be written as
15 19 Work out:
. ..
0.07 ÷ 0.185
22
(2 marks) (4 marks)
Grade 6 Recurring Decimals Grade 6
