igureMaths
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65 questions at your level
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Level 4
Level 5
Sharing a quantity in a ratio
26 questions
Lesson
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Two people share an amount of money in the ratio 4 : 7. The smaller share is £96. Work out the total amount of money shared.
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Level 4
3 marks
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A sum of money is shared between Ali, Beth and Cara in the ratio 2 : 3 : 5. Cara receives £45 more than Ali. Work out the total amount of money shared.
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Level 4
4 marks
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A green paint is made by mixing blue paint and yellow paint in the ratio 2 : 3. Blue paint costs £4.00 per litre and yellow paint costs £3.50 per litre.
Work out the cost of the paint needed to make 20 litres of green paint.
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Level 4
4 marks
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A prize is shared between three people in the ratio
1
:
4
:
7
1 : 4 : 7
1
:
4
:
7
.
The largest share is £
90
90
90
more than the smallest share.
Work out the total prize.
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Level 4
3 marks
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Trail mix is made from nuts and raisins in the ratio
3
:
2
3 : 2
3
:
2
by weight
.
Nuts cost £
6
6
6
per kg. Raisins cost £
3
3
3
per kg.
Work out the cost of the ingredients for
4
4
4
kg of trail mix.
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Level 4
4 marks
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6
6
6
m of green ribbon and
4
4
4
m of gold ribbon cost a total of
680
680
680
p
cost of
1
1
1
m of green ribbon : cost of
1
1
1
m of gold ribbon
=
3
:
4
= 3 : 4
=
3
:
4
Work out the cost of
1
1
1
m of green ribbon and the cost of
1
1
1
m of gold ribbon.
(4 marks)
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Level 4
4 marks
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There are only lemon cupcakes and chocolate cupcakes on tray A.
number of lemon cupcakes : number of chocolate cupcakes
=
2
:
7
= 2 : 7
=
2
:
7
Tray B holds only vanilla cupcakes and coffee cupcakes.
Tray B holds a third as many cupcakes as tray A.
There are
x
x
x
lemon cupcakes on tray A.
Use algebra to show that, altogether, trays A and B hold
6
x
6x
6
x
cupcakes.
(3 marks)
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Level 4
3 marks
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Ratio problems where the amounts change
18 questions
Lesson
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In a car park, the ratio of cars to vans is 7 : 2. There are 45 more cars than vans. Work out the total number of vehicles in the car park.
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Level 4
4 marks
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A recipe for 4 people uses flour and sugar in the ratio 5 : 2. The recipe for 4 people needs 350 g of flour. Work out how much sugar is needed to make the recipe for 6 people.
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Level 4
4 marks
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At a show, the ratio of the number of adults to the number of children is 4 : 5. There are 216 people at the show in total. Then 40 more adults arrive. Work out the new ratio of adults to children. Give your answer in its simplest form.
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Level 4
4 marks
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At a shelter, the ratio of dogs to cats is
9
:
4
9 : 4
9
:
4
.
There are
35
35
35
more dogs than cats.
Work out the total number of animals.
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Level 4
3 marks
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A recipe for
6
6
6
people uses butter and flour in the ratio
3
:
8
3 : 8
3
:
8
.
The recipe for
6
6
6
people needs
320
320
320
g of flour.
Work out how much
butter
is needed for
9
9
9
people.
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Level 4
3 marks
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A choir has
88
88
88
members. The ratio of boys to girls is
5
:
6
5 : 6
5
:
6
.
Then
4
4
4
boys join the choir and
8
8
8
girls leave.
Work out the new ratio of boys to girls, in its simplest form.
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Level 4
3 marks
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Combining and relating ratios
21 questions
Lesson
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a
:
b
=
3
:
4
a : b = 3 : 4
a
:
b
=
3
:
4
and
b
:
c
=
6
:
5
b : c = 6 : 5
b
:
c
=
6
:
5
. Work out
a
:
b
:
c
a : b : c
a
:
b
:
c
, giving your answer in its simplest form.
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Level 4
3 marks
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In a school orchestra, the ratio of violin players to flute players is
5
:
3
5 : 3
5
:
3
.
The ratio of flute players to cello players is
2
:
1
2 : 1
2
:
1
.
(a)
Find the ratio of violin players to flute players to cello players. Give your answer in its simplest form.
(b)
There are 38 players in the orchestra altogether.
Work out how many cello players there are.
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Level 4
4 marks
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On a map, a length of 4 cm represents an actual distance of 10 km. Write the scale of the map as a ratio in the form 1 : n.
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Level 4
3 marks
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a
:
b
=
2
:
3
a : b = 2 : 3
a
:
b
=
2
:
3
and
b
:
c
=
4
:
7
b : c = 4 : 7
b
:
c
=
4
:
7
Work out
a
:
b
:
c
a : b : c
a
:
b
:
c
, giving your answer in its simplest form.
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Level 4
3 marks
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In a fruit box, the ratio of apples to bananas is
5
:
2
5 : 2
5
:
2
, and the ratio of bananas to cherries is
3
:
4
3 : 4
3
:
4
.
(a)
Work out the ratio apples : bananas : cherries in its simplest form.
The box contains
40
40
40
cherries.
(b)
How many apples does it contain?
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Level 4
4 marks
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On a map, a length of
4
4
4
cm represents an actual distance of
6
6
6
km.
Write the scale of the map as a ratio in the form
1
:
n
1 : n
1
:
n
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Level 4
3 marks
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