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4.01 Identify ratios

Worksheet
Ratios
1

Write the ratio 2:3 in words.

2

Express each pair of quantities as a ratio:

a

\$5 to \$7.

b

47 volts to 43 volts.

c

13 minutes to 17 minutes.

d

37 lollies to 17 lollies.

e

5 seconds to 26 seconds.

f

13 newtons to 29 newtons.

g

15 oranges to 76 oranges.

h

130 days to 171 days.

3

Write the ratio for the number of shaded squares to unshaded squares:

a
b
4

For each pair of quantities:

i

Rewrite the two quantities in the same units as whole numbers.

ii

Write the pair of quantities as a simplified ratio.

a

9000 metres to 8 kilometres

b

\$1 to 31c

c

2 centuries to 409 years

d

31 minutes to 2 hours

e

6 minutes to 659 seconds

f

43 weeks to 1 year

g

37 months to 2 years

h

13 hours to 5 days

Applications
5

A cordial is mixed with water in the ratio 70 \text{ ml} of cordial to 200 \text{ ml} of water.

a

Write down the ratio of cordial to water.

b

What fraction of the mixed drink will be cordial?

c

If a mixed drink contains 120\text{ mL} of water, how much cordial will it contain?

6

A bag of marbles has the ratio of 3 blue marbles to 7 red marbles.

a

Write down the ratio of blue marbles to red marbles.

b

What fraction of marbles in the bag will be red balls?

c

If there are 6 blue marbles in the bag, how many red marbles are there?

7

A recipe calls for one part vinegar to five parts oil.

a

Write down the ratio of oil to vinegar.

b

If a recipe requires 2 cups of vinegar, how many cups of oil are required?

c

If a recipe requires 1 teaspoon of vinegar, it requires five teaspoons of oil. True or false?

8

A ratio of songs to ads on a radio station is 3 hours to 25 minutes.

a

Convert 3 hours to minutes.

b

Find the simplified ratio of songs to ads.

c

For every 60 minutes of ads played, how many minutes of songs would be played?

9

The edge lengths of two different squares are as follows. Square A has an edge length of 11 \text{ m}. Square B has an edge length of 5 \text{ m}.

a

Find the ratio of edge lengths for square A to square B.

b

Find the ratio of the area of square A to the area of square B.

10

A bridge is made up of 3 lengths: PQ, QR and RS as shown in the figure:

a

Find the total length of the bridge.

b

Write the lengths of PQ to RS as a ratio.

c

Write the lengths of PQ to PS as a ratio.

d

Write the lengths of PQ to QR to RS as a ratio.

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Outcomes

1.1.1.1

demonstrate an understanding of the fundamental ideas and notation of ratio

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