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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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Parent category: Education