Ratio And Proportion Worksheet Page 4
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P
Kamal and Aisha buy a car together for
Green dye is mixed from yellow dye and blue
dye in the ratio 3 : 4.
£6300.
Amir needs 35 litres of green dye.
Aisha pays £2700 and Kamal pays £3600.
a
How many litres of yellow dye should
They sell the car 4 years later for £4200.
he use?
How should they share the money fairly?
b
How many litres of blue dye should he use?
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P / R
Two whole numbers are in the ratio
4
2 : 5 and their product is a multiple of 3.
A cereal mix is made from oats, wheat and
barley in the ratio 3 : 2 : 1.
What are the smallest numbers possible?
Chantal wants to make 600 g of cereal mix.
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Sharon and Jo share £90 in the ratio 7 : 5.
How much of each type of ingredient does
a
How much do they each receive?
she need?
b
How much more does Sharon get than Jo?
5
Exam-style question
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Exam-style question
Jamila is going to make some shortbread.
Kevin and Lesley share a bag of sweets in
She needs to mix flour, butter and sugar in
the ratio 3 : 4
the ratio 3 : 2 : 1 by weight.
Kevin gets 15 fewer sweets than Lesley.
Jamila wants to make 1.5 kg of shortbread.
How many sweets did Lesley get? (3 marks)
She has
• 4 50 g of butter
• 1 500 g of flour
11.5
Comparing using
• 5 00 g of sugar
ratios
Does Jamila have enough flour, butter and
sugar to make the shortbread?
(4 marks)
4
1
In a karate class
of the group are men and
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6
Share these amounts in the ratios given.
the rest are women.
a
750 g in the ratio 2 : 3 : 5
What is the ratio of men to women in the
b
600 ml in the ratio 3 : 2 : 7
class?
c
£84 in the ratio 3 : 5 : 6
2
Copy and complete the table for different
d
£30 in the ratio 4 : 5 : 3
groups of people having karate lessons.
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Share these amounts in the ratios given.
Fraction of group
Ratio of men : women
Round your answers sensibly.
that are men
a
£60 in the ratio 3 : 4
3
b
125 g in the ratio 5 : 4
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R
Jennifer and Tom buy a flat to rent out for
5 : 3
£125 000.
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Jenifer pays £75 000 and Tom pays £50 000.
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They rent out the flat for £650 per month.
5 : 6
a
Write the amounts they each pay as a ratio.
b
Write the ratio in its simplest form.
5
3
In a particular fruit juice mix,
is orange
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c
Divide the rent in this ratio. How much of
4
juice,
is mango juice and the rest is
the rent does each of them get?
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apple juice.
Q8b hint
Work out the ratio of
orange juice : mango juice : apple juice.
Jennifer Tom
:
:
4
A car windscreen washer mix can be made
÷
÷
from water and concentrate in the ratio 5 : 1.
:
What fraction of the washer mix is
a
water
b
concentrate?
88
11.4 Using ratios 2
R = Reasoning P = Problem-solving
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