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52 questions at your level
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Level 1
Level 2
Level 3
Level 4
Level 5
The four operations with fractions
21 questions
Lesson
Not started
Mark as done
Work out
(a)
3
8
+
5
6
\dfrac{3}{8} + \dfrac{5}{6}
8
3
+
6
5
— give your answer as a mixed number in its simplest form.
(b)
7
10
−
2
15
\dfrac{7}{10} - \dfrac{2}{15}
10
7
−
15
2
— give your answer in its simplest form.
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Level 3
4 marks
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→
Mark as done
Work out
(a)
4
9
×
3
10
\dfrac{4}{9} \times \dfrac{3}{10}
9
4
×
10
3
— give your answer in its simplest form.
(b)
5
8
÷
15
16
\dfrac{5}{8} \div \dfrac{15}{16}
8
5
÷
16
15
— give your answer in its simplest form.
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Level 3
4 marks
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Mark as done
Work out
3
1
5
−
1
3
4
3\tfrac{1}{5} - 1\tfrac{3}{4}
3
5
1
−
1
4
3
Give your answer as a mixed number in its simplest form.
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Level 3
3 marks
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Mark as done
(a)
Work out
4
1
6
−
1
3
4
4\frac{1}{6} - 1\frac{3}{4}
4
6
1
−
1
4
3
Give your answer as a mixed number.
(2 marks)
Omar was asked to work out
4
2
3
×
5
6
4\frac{2}{3} \times \frac{5}{6}
4
3
2
×
6
5
Here is his working and his answer.
4
2
3
×
5
6
=
14
3
×
5
6
4\frac{2}{3} \times \frac{5}{6} = \frac{14}{3} \times \frac{5}{6}
4
3
2
×
6
5
=
3
14
×
6
5
=
70
18
= \frac{70}{18}
=
18
70
=
4
2
18
= 4\frac{2}{18}
=
4
18
2
Omar's answer is wrong.
(b)
What mistake has Omar made?
(1 mark)
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Level 3
3 marks
Start
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Fractions of amounts
19 questions
Lesson
Not started
Mark as done
Work out
4
7
\dfrac{4}{7}
7
4
of £322
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Level 3
2 marks
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→
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Which is larger:
2
3
\dfrac{2}{3}
3
2
of £
84
84
84
, or
3
4
\dfrac{3}{4}
4
3
of £
76
76
76
?
You must show your working.
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Level 3
3 marks
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Mark as done
The amount of honey a beekeeper collected this year is
2
9
\dfrac{2}{9}
9
2
less than the amount she collected last year.
This year the beekeeper collected
1596
1596
1596
kg of honey.
Work out the amount of honey the beekeeper collected last year.
(3 marks)
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Level 3
3 marks
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Mark as done
There are
252
252
252
tiles in a box.
There are only white tiles, grey tiles and black tiles.
2
9
\frac{2}{9}
9
2
of the
252
252
252
tiles are white tiles.
number of grey tiles : number of black tiles
=
2
:
5
= 2 : 5
=
2
:
5
number of black tiles : number of white tiles
=
n
:
1
= n : 1
=
n
:
1
(a)
Work out the value of
n
n
n
.
You must show all your working.
(5 marks)
6
6
6
of the grey tiles are cracked and are taken out of the box.
(b)
Does this affect your answer to part (a)?
Give a reason for your answer.
(1 mark)
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Level 3
6 marks
Start
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Dev has some small, medium and large candles.
He has a total of
500
500
500
candles.
3
5
\frac{3}{5}
5
3
of the
500
500
500
candles are scented.
For the scented candles,
number of small candles : number of medium candles
=
1
:
3
= 1 : 3
=
1
:
3
number of medium candles : number of large candles
=
6
:
7
= 6 : 7
=
6
:
7
Work out the percentage of Dev's candles that are small scented candles.
(5 marks)
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Level 3
5 marks
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Freya, Tomasz and Ines share some beads in the ratio
3
:
4
:
11
3 : 4 : 11
3
:
4
:
11
Ines gives
3
11
\frac{3}{11}
11
3
of her beads to Freya.
Ines then gives
25
%
25\%
25%
of the rest of her beads to Tomasz.
Ines says,
"We each have the same number of beads now."
Is Ines correct?
You must show how you get your answer.
(4 marks)
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Level 3
4 marks
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Mark as done
Kwame, Lena and Priya share some marbles in the ratio
3
:
4
:
9
3 : 4 : 9
3
:
4
:
9
Priya gives
1
3
\frac{1}{3}
3
1
of her marbles to Kwame.
Priya then gives
20
%
20\%
20%
of the rest of her marbles to Lena.
Priya says,
"We each have an equal share of the marbles now."
Is Priya correct?
You must show how you get your answer.
(4 marks)
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Level 3
4 marks
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Recurring decimals and fractions
14 questions
Lesson
Not started
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Prove algebraically that the recurring decimal
0.
8
˙
0.\dot{8}
0.
8
˙
can be written as
8
9
\dfrac{8}{9}
9
8
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Level 3
2 marks
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Without working out any division, decide whether each fraction is equal to a terminating decimal or a recurring decimal.
Give a reason for each answer.
(a)
9
40
\dfrac{9}{40}
40
9
(b)
7
12
\dfrac{7}{12}
12
7
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Level 3
2 marks
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(a)
Write the recurring decimal
0.
4
˙
0.\dot{4}
0.
4
˙
as a fraction.
(b)
Hence write
5.
4
˙
5.\dot{4}
5.
4
˙
as an improper fraction.
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Level 3
3 marks
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Write the recurring decimal
0.
7
˙
2
˙
0.\dot{7}\dot{2}
0.
7
˙
2
˙
as a fraction in its simplest form. (3 marks)
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Level 3
3 marks
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