Ratio And Proportion Worksheet Page 5
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2
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95
11
Write each of these in the form m : 1.
Mark and Jon share a pizza in the ratio 5 : 4.
What fraction of the pizza should
Give each answer to a maximum of 2 decimal
places.
a
Jon get
a
11 : 4
b
Mark get?
b
17 : 3
6
Gilding brass is made of copper and zinc in
c
56 : 15
the ratio 19 : 1.
d
3 : 16
What fraction of the brass is
e
7 : 32
a
copper
f
23 : 60
b
zinc?
12
R
Millie and Hannah are
Example
7
R
The ratio of boys to girls in a music club
dyeing T-shirts.
is 3 : 7.
Millie makes an orange dye by
3
Curtis says that
of the club members are
7
mixing 75 g of yellow dye with
boys.
25 g of red dye.
Is he correct? Explain your answer.
Hannah mixes 60 g of yellow
8
R
Fruit cookies are made by mixing flour,
dye with 24 g of red dye for her orange dye.
butter, sugar and dried fruit in the ratio
Whose dye is darker orange?
3 : 2 : 1 : 1.
Explain your answer.
a
What fraction of the cookie mix is
13
R
Liam makes wallpaper paste by mixing
i
flour
230 g of glue with 8 litres of water.
ii
butter?
Ryan makes some more wallpaper paste by
b
In 700 g of cookie mix, what are the masses
mixing 95 g of glue with 3500 ml of water.
of flour, butter, sugar and dried fruit?
Who makes the stronger paste?
c
Joyce has plenty of flour and dried fruit,
Explain your answer
but only 150 g of butter and 200 g of sugar.
14
R
Nadya makes a recipe that uses flour to
What is the maximum amount of cookie
butter in the ratio 500 : 190.
mix she can make?
Show your working clearly.
Karl makes a different recipe using flour to
butter in the ratio 425 : 150.
9
R
A building mix uses cement, lime, building
Whose recipe has the higher proportion of
sand and gravel in the ratio 1.5 : 1.5 : 5 : 2
butter?
a
What fraction of the mix is lime?
15
R
Tina and Gareth are running a marathon.
b
In 50 kg of the mix, what are the masses of
Tina runs for 4 hours 45 minutes and walks
cement, lime, building sand and gravel?
for 45 minutes.
c
You have plenty of cement, gravel and
Gareth runs for 5 hours 15 minutes and walks
lime, but only 22.5 kg of building sand.
for 75 minutes.
What is the maximum amount of the
building mix you can make?
Who walks for a higher proportion of their
race time?
Q9 hint
Write the ratio with whole numbers
Explain your answer.
first.
16
Exam-style question
10
Copy and complete to write these as unit
4
3
A paint mixture is
blue and
red.
ratios.
7
7
a
b
Jack says, ‘The amount of blue is one and a
7 : 5
4 : 9
third times the amount of red.’
÷5
÷5
÷4
÷4
: 1
:
Is he correct? Explain your answer.
(3 marks)
89
11.5 Comparing using ratios
R = Reasoning P = Problem-solving
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