Ratio And Proportion Worksheet

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11
RATIO AND PROPORTION
a
What is the ratio of red rosettes won to
11.1
Writing ratios
other rosettes won?
Write your answer in its simplest form.
b
1
The club’s trainer says that they won three
Write down each ratio of blue cubes to yellow
times as many other rosettes as
cubes.
red rosettes.
a
Is the trainer correct?
b
Explain your answer.
6
A primary school class teacher is planning a
2
Draw cubes to show these ratios of blue
class trip. There are 30 children in the class
to yellow.
and 5 adults are available to go on the trip.
a
b
5 : 2
2 : 3
The guidelines say that the adult-to-child
3
A box of chocolates has 20 chocolates.
ratio should be 1 : 6.
There is 1 nut chocolate for every 4 caramel
Are there enough adults for the trip?
chocolates.
7
Which of these ratios are equivalent?
How many chocolates are
A 56 : 49
B 120 : 105
a
nut
C 108 : 84
D 128 : 112
b
caramel?
E 63 : 49
4
Write each ratio in its simplest form.
8
Write each ratio in its simplest form.
a
3 : 15
b
12 : 6
a
6 : 21 : 15
b
15 : 25 : 30
c
d
32 : 8
6 : 48
c
32 : 40 : 48
d
45 : 72 : 54
e
f
15 : 25
72 : 48
9
g
h
Show that these ratios are equivalent.
28 : 49
36 : 42
15 : 10 : 35
18 : 12 : 42
36 : 24 : 84
Q4a hint
3 : 15
10
A recipe for sweet pastry uses 200 g of
÷3
÷3
flour, 100 g of butter and 75 g of sugar.
1 :
Write the ratio of flour : butter : sugar in
its simplest form.
5
P / R
The bar charts show the numbers of
rosettes won in a horse show by teams from
11
Exam-style question
a club.
There are 60 sweets in a bag. Of these,
Number of red rosettes won
18 are toffee and the rest are fruit flavoured.
5
Write the ratio of toffee to fruit-flavoured
4
(2 marks)
sweets in its simplest form.
3
2
1
0
11.2
Using ratios 1
Team
Team
Team
Team
A
B
C
D
Club team
1
The ratio of sand : cement
Example
Number of other rosettes won
needed to make mortar
10
is 5 : 1.
8
6
Sarah uses 6 kg of cement.
4
How many kilograms of sand
2
does she use?
0
Team
Team
Team
Team
A
B
C
D
Club team
85
11.2 Using ratios 1
R = Reasoning P = Problem-solving

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