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65 questions at your level
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Level 1
Level 2
Level 3
Level 4
Level 5
Sharing a quantity in a ratio
26 questions
Lesson
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Share £
150
150
150
between Jo and Kai in the ratio
2
:
3
2 : 3
2
:
3
.
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Level 2
2 marks
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Ali, Bea and Cara share £
4200
4200
4200
in the ratio
2
:
3
:
7
2 : 3 : 7
2
:
3
:
7
Work out how much more Cara receives than Ali. (3 marks)
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Level 2
3 marks
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Ann, Ben and Cal share some money in the ratio
2
:
3
:
5
2 : 3 : 5
2
:
3
:
5
Cal receives £
45
45
45
more than Ann.
(a)
Work out the total amount of money shared. [3]
(b)
What fraction of the total does Ben receive? [1]
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Level 2
4 marks
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Pink paint is made by mixing red paint and white paint in the ratio
3
:
5
3 : 5
3
:
5
by volume.
Red paint costs £
4
4
4
per litre. White paint costs £
2.50
2.50
2.50
per litre.
Work out the cost of the paint needed to make
2
2
2
litres of pink paint. [3]
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Level 2
3 marks
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There are
60
60
60
pens in a pot.
There are only black pens and blue pens in the pot.
number of black pens : number of blue pens
=
1
:
4
= 1 : 4
=
1
:
4
Ravi has to work out how many black pens are in the pot.
He says,
"There are
15
15
15
black pens because
60
÷
4
=
15
60 \div 4 = 15
60
÷
4
=
15
"
Is Ravi correct?
You must give a reason for your answer.
(1 mark)
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Level 2
1 mark
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Ratio problems where the amounts change
18 questions
Lesson
Not started
Mark as done
A recipe for
4
4
4
people uses
300
300
300
g of flour. How much flour is needed for
6
6
6
people?
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Level 2
2 marks
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A bag contains red and blue marbles in the ratio
3
:
7
3 : 7
3
:
7
There are
40
40
40
marbles in the bag.
(a)
How many more blue marbles than red marbles are there? (2 marks)
5
5
5
more red marbles are added to the bag.
(b)
Write the new ratio of red to blue marbles in its simplest form. (1 mark)
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Level 2
3 marks
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Combining and relating ratios
21 questions
Lesson
Not started
Mark as done
x
:
y
=
1
:
2
x : y = 1 : 2
x
:
y
=
1
:
2
and
y
:
z
=
4
:
3
y : z = 4 : 3
y
:
z
=
4
:
3
. Write
x
:
y
:
z
x : y : z
x
:
y
:
z
in its simplest form.
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Level 2
2 marks
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In a bag, red : blue counters
=
3
:
1
= 3 : 1
=
3
:
1
and blue : green
=
2
:
5
= 2 : 5
=
2
:
5
. Write red : blue : green.
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Level 2
2 marks
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a
:
b
=
5
:
2
a : b = 5 : 2
a
:
b
=
5
:
2
and
b
:
c
=
2
:
7
b : c = 2 : 7
b
:
c
=
2
:
7
. Given that
b
=
6
b = 6
b
=
6
, find
a
a
a
and
c
c
c
.
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Level 2
2 marks
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m
:
n
=
1
:
3
m : n = 1 : 3
m
:
n
=
1
:
3
and
n
:
k
=
6
:
1
n : k = 6 : 1
n
:
k
=
6
:
1
. Write
m
:
n
:
k
m : n : k
m
:
n
:
k
.
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Level 2
2 marks
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Mark as done
a
:
b
=
2
:
3
a : b = 2 : 3
a
:
b
=
2
:
3
and
b
:
c
=
4
:
5
b : c = 4 : 5
b
:
c
=
4
:
5
Work out
a
:
b
:
c
a : b : c
a
:
b
:
c
(2 marks)
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Level 2
2 marks
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