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52 questions at your level
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Level 5
The four operations with fractions
21 questions
Lesson
Not started
Mark as done
Show that
(
4
1
2
−
2
2
3
)
÷
2
3
4
=
2
3
\left(4\tfrac{1}{2} - 2\tfrac{2}{3}\right) \div 2\tfrac{3}{4} = \dfrac{2}{3}
(
4
2
1
−
2
3
2
)
÷
2
4
3
=
3
2
You must show each stage of your working.
●●●●●
Level 5
4 marks
Start
→
Mark as done
Show that
(
1
2
3
)
2
÷
2
7
9
=
1
\left(1\tfrac{2}{3}\right)^2 \div 2\tfrac{7}{9} = 1
(
1
3
2
)
2
÷
2
9
7
=
1
You must show each stage of your working.
●●●●●
Level 5
3 marks
Start
→
Mark as done
Show that
0.
4
˙
2
˙
+
0.3
5
˙
7
˙
0.\dot{4}\dot{2} + 0.3\dot{5}\dot{7}
0.
4
˙
2
˙
+
0.3
5
˙
7
˙
can be written in the form
m
55
\dfrac{m}{55}
55
m
where
m
m
m
is an integer.
(3 marks)
●●●●●
Level 5
3 marks
Start
→
Mark as done
x
=
0.
7
˙
y
=
0.1
6
˙
3
˙
x = 0.\dot{7} \qquad y = 0.1\dot{6}\dot{3}
x
=
0.
7
˙
y
=
0.1
6
˙
3
˙
Work out the value of
x
y
xy
x
y
.
Give your answer as a fraction in its simplest form.
(5 marks)
●●●●●
Level 5
5 marks
Start
→
Fractions of amounts
19 questions
Lesson
Not started
Mark as done
At a cinema one evening,
3
5
\dfrac{3}{5}
5
3
of the tickets sold were adult tickets.
2
3
\dfrac{2}{3}
3
2
of the adult tickets were sold online.
348 adult tickets were sold online.
How many tickets were sold in total that evening?
●●●●●
Level 5
3 marks
Start
→
Mark as done
At a sports club,
2
5
\dfrac{2}{5}
5
2
of the members are juniors.
3
4
\dfrac{3}{4}
4
3
of the remaining members are seniors, and the rest are coaches.
There are
45
45
45
coaches.
(a)
Show that
3
20
\dfrac{3}{20}
20
3
of the members are coaches.
(b)
Work out the total number of members.
●●●●●
Level 5
5 marks
Start
→
Recurring decimals and fractions
14 questions
Lesson
Not started
Mark as done
Prove algebraically that the recurring decimal
2.1
3
˙
6
˙
2.1\dot{3}\dot{6}
2.1
3
˙
6
˙
can be written as
47
22
\dfrac{47}{22}
22
47
●●●●●
Level 5
3 marks
Start
→
Mark as done
Prove algebraically that the recurring decimal
1.
2
˙
0
˙
7
˙
1.\dot{2}\dot{0}\dot{7}
1.
2
˙
0
˙
7
˙
can be written as
134
111
\dfrac{134}{111}
111
134
●●●●●
Level 5
3 marks
Start
→
Mark as done
Show that
0.
4
˙
2
˙
+
0.3
5
˙
7
˙
0.\dot{4}\dot{2} + 0.3\dot{5}\dot{7}
0.
4
˙
2
˙
+
0.3
5
˙
7
˙
can be written in the form
m
55
\dfrac{m}{55}
55
m
where
m
m
m
is an integer.
(3 marks)
●●●●●
Level 5
3 marks
Start
→
Mark as done
x
=
0.
7
˙
y
=
0.1
6
˙
3
˙
x = 0.\dot{7} \qquad y = 0.1\dot{6}\dot{3}
x
=
0.
7
˙
y
=
0.1
6
˙
3
˙
Work out the value of
x
y
xy
x
y
.
Give your answer as a fraction in its simplest form.
(5 marks)
●●●●●
Level 5
5 marks
Start
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