Ratio And Proportion Worksheet Page 8
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910
R
It costs £85.82 to hire a car for 7 days.
11.8
Proportion problems
How many days does Amit hire a car for if he
pays £208.42?
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3 children build a giant
Example
11
R
It takes 6 people 5 hours to pick 600 kg of
sandcastle in 4 hours.
apples.
How long will it take
The apple grower employs 2 more people.
a
1 child
How long will it take to pick 600 kg of apples
b
5 children?
now?
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Q1a hint
Will it take 1 child more or less
Exam-style question
time than 3 children?
It takes 7 men 4 hours to dig a ditch.
(2 marks)
How long would it take 5 men?
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2
2 decorators take 5
hours to paint 3 rooms.
2
How long will it take
a
3 decorators
11
Problem-solving
b
5 decorators?
Give your answers in hours and minutes.
Solve problems using these strategies where
appropriate:
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3 school uniform shirts cost £13.50.
•
Use pictures
How much will 5 shirts cost?
Example
•
Use smaller numbers
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R
A farmer needs to pick his 750 kg crop of
•
Use bar models
strawberries.
•
Use x for the unknown
He wants all the work done in 8 hours or less.
•
Use a flow diagram
He knows that 1 person can pick 8 kg of
•
Use more bar models.
strawberries in an hour.
How many people does he need to do the
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Jay, Alix and Cam have dinner.
job?
Jay has only a starter. He pays one tenth of
the bill.
5
A group of 5 cyclists can complete a circular
The total bill is £40.
20-mile cycle in 2 hours.
Cam has extra drinks. She pays half of the bill.
How long will it take a group of 8 cyclists to
a
How much does Jay pay?
complete the same ride?
b
How much does Alix pay?
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It takes 15 minutes for 24 cupcakes to cook.
c
What is the ratio of Alix’s bill to Cam’s bill?
How long will it take for 32 cupcakes?
Write your answer in its simplest form.
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R
A farmer has enough bales of silage to feed
2
Ajesh has 8 box sets of his favourite drama.
120 cattle for 30 days.
He stacks them in a pile next to 20 DVDs.
He sells 30 cattle.
Both piles are the same height.
How many days will the silage last for?
a
What is the ratio of the number of box sets
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A print run of 40 exam papers uses
to DVDs?
560 sheets of paper.
Write your answer in its simplest form.
How many sheets of paper would be needed
b
One DVD is about 1.4 cm thick.
to print 215 copies of the same exam paper?
How thick is each box set?
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R
A caretaker needs to clean 35 classrooms.
3
A group of 6 students takes 3 days to paint a
classroom.
He knows that 2 people can clean a room in
20 minutes.
A group of 4 students takes 4 days to paint
an identical classroom.
He needs all the work to be done in 3 hours
after school.
Does a student in the first group work faster
than a student in the second group?
How many cleaners does he need to
employ?
92
11.8 Proportion problems
R = Reasoning P = Problem-solving
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