Ratio And Proportion Worksheet Page 6
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98
R
Ajay can buy bags of rice in two sizes:
11.6
Using proportion
1.5 kg for £3.27 or 600 g for £1.32.
Which is better value for money?
1
6 apples cost £1.50.
Example
9
R
Tom and Fred are both house painters.
What is the cost of
Tom charges £146.10 labour for a job that
a
12 apples
takes 6 hours. Fred charges £262.90 labour
b
2 apples
for a job that takes 11 hours.
c
4 apples
Who will earn more for a job that takes
d
10 apples?
17 hours?
2
4 tickets to a show cost £80.
10
Exam-style question
How much will 17 tickets cost?
Jill is making cupcakes. She finds out
3
60 litres of compost cost £4.50.
the prices of cupcake cases from two
What do 84 litres cost?
companies, Bake Rite and Kitchen Plus.
4
Edward gets £43.05 for 7 hours of work.
Kitchen Plus
Bake Rite
How much will he get for working for
Pack of 60
Pack of 80
cupcake cases
cupcake cases
a
12 hours
£2.25
£2.89
b
25 hours
She needs 240 cupcake cases and wants to
c
35 hours?
buy them as cheaply as possible.
5
R
A group of 14 friends want to go on holiday
Which company should Jill buy the cupcake
together. The total cost of the holiday is
cases from?
£2996 and they all pay the same amount.
You must explain your answer.
(4 marks)
3 more friends agree to join them.
What is the total cost of the holiday now?
11.7
Proportion and
6
R
Ketchup bottles come in two sizes.
graphs
1
Look at the graph.
Conversion graph
Ketchup
Ketchup
8
342 g for
460 g for
6
£1.25
£1.75
4
a
Copy and complete to find the unit ratios.
2
i
342 g : £1.25
0
0 1 2 3 4 5
÷
÷
Kilograms
g
: £1
Are kilograms and pounds in direct proportion?
ii
460 g : £1.75
Explain your answer.
÷
÷
2
The table shows some amounts of liquid in
g
: £1
litres and in pints.
b
Which size is the better buy?
Litres
2
4
6
10
Q6b hint
Which gives more grams for £1?
Pints
3.5
7
10.5 17.5
a
Plot a line graph for these values.
7
R
Kasia can buy bottles of cola in two sizes:
b
Are litres and pints in direct proportion?
a 1.25-litre bottle for £1.55 or a 1.75-litre
Explain your answer.
bottle for £1.85.
c
Car oil is sold in a 5-litre can.
Which is better value for money?
How many pints is this?
90
11.6 Using proportion
R = Reasoning P = Problem-solving
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