igureMaths
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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
2
3
4
×
1
3
5
2\tfrac{3}{4} \times 1\tfrac{3}{5}
2
4
3
×
1
5
3
Give your answer as a mixed number in its simplest form.
You must show all your working.
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Level 4
3 marks
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Work out
3
1
2
÷
1
2
5
3\tfrac{1}{2} \div 1\tfrac{2}{5}
3
2
1
÷
1
5
2
Give your answer as a mixed number in its simplest form.
You must show all your working.
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Level 4
3 marks
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One batch of pancake mixture needs
3
4
\dfrac{3}{4}
4
3
of a litre of milk.
A jug holds
2
2
5
2\tfrac{2}{5}
2
5
2
litres of milk.
How many
complete
batches of mixture can be made from the jug?
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Level 4
3 marks
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In a school,
2
3
\dfrac{2}{3}
3
2
of the students walk to school.
Of the students who walk,
3
8
\dfrac{3}{8}
8
3
walk with a friend.
(a)
What fraction of the whole school walks with a friend?
(b)
What fraction of the whole school walks
alone
?
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Level 4
4 marks
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Fractions of amounts
19 questions
Lesson
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Lena is paid £540.
She puts
2
9
\dfrac{2}{9}
9
2
of the £540 into savings.
She then spends
3
7
\dfrac{3}{7}
7
3
of the
remainder
on rent.
How much of the £540 does Lena have left?
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Level 4
3 marks
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3
8
\dfrac{3}{8}
8
3
of a number is 96.
(a)
Find the number.
(b)
Find
5
8
\dfrac{5}{8}
8
5
of the number.
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Level 4
3 marks
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Write 35 minutes as a fraction of
2
1
2
2\tfrac{1}{2}
2
2
1
hours.
Give your answer in its simplest form.
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Level 4
2 marks
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Keira spends
5
8
\dfrac{5}{8}
8
5
of her money on a coat.
She has £
48.60
48.60
48.60
left.
How much money did she have to start with?
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Level 4
3 marks
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A plank of wood is
2.4
2.4
2.4
m long.
A carpenter cuts off
5
12
\dfrac{5}{12}
12
5
of the plank.
(a)
Work out the length that is cut off. Give your answer in metres.
(b)
Work out the length that remains. Give your answer in metres.
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Level 4
3 marks
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Recurring decimals and fractions
14 questions
Lesson
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Write the recurring decimal
0.
5
˙
4
˙
0.\dot{5}\dot{4}
0.
5
˙
4
˙
as a fraction in its simplest form.
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Level 4
2 marks
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Write
0.3
8
˙
0.3\dot{8}
0.3
8
˙
as a fraction in its simplest form.
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Level 4
3 marks
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Write the recurring decimal
0.
2
˙
7
˙
0.\dot{2}\dot{7}
0.
2
˙
7
˙
as a fraction in its simplest form.
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Level 4
3 marks
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Prove algebraically that
0.1
6
˙
=
1
6
0.1\dot{6} = \dfrac{1}{6}
0.1
6
˙
=
6
1
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Level 4
3 marks
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(a)
Write
0.
6
˙
0.\dot{6}
0.
6
˙
and
0.
1
˙
0.\dot{1}
0.
1
˙
as fractions.
(b)
Hence work out
0.
6
˙
+
0.
1
˙
0.\dot{6} + 0.\dot{1}
0.
6
˙
+
0.
1
˙
, giving your answer as a fraction in its simplest form.
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Level 4
4 marks
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Prove algebraically that the recurring decimal
0.
2
˙
7
˙
0.\dot{2}\dot{7}
0.
2
˙
7
˙
can be written as
3
11
\dfrac{3}{11}
11
3
(3 marks)
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Level 4
3 marks
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