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5.01 Working with ratios

Worksheet
Ratios
1

Express the following ratios as word statements:

a
4:3
b
3:4
c
5:7
d
6:9
2

Write a numerical ratio for the following:

a
The number of circles to squares:
b
The number of squares to circles:
3

For each of the following diagrams:

i

Write the ratio of shaded squares to non-shaded squares.

ii

Write the ratio of shaded squares to total squares.

a
b
4

For each of the following diagrams:

i

Write the ratio of shaded sectors to non-shaded sectors.

ii

Write the ratio of shaded sectors to total sectors.

a
b
c
5

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.

6

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.

7

In a bag there are 20 marbles. If there are 5 green marbles, 6 blue marbles, 2 red marbles and 7 yellow marbles. Find the ratios of the coloured marbles below:

a
Green to red.
b
Blue to red.
c
Green to blue.
d
Yellow to the total number of marbles.
8

Write each of the following statements as a simplified ratio:

a

There are 11 cats to 6 dogs.

b

In a classroom there are 12 girls to 5 boys.

c

When making pasta, you need 5 cups of plain flour to 8 eggs.

d

There are 3 red marbles to 2 blue marbles.

e

The Great Dane weighed two times as much as the Labrador.

f

In a working day, a bricklayer lays 50 bricks every hour.

9

Express each 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

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Outcomes

MA4-7NA

operates with ratios and rates, and explores their graphical representation

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