topic badge
CanadaON
Grade 7

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

Explain how to simplify a ratio if the terms have different units.

10

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

Sign up to access Worksheet
Get full access to our content with a Mathspace account

Outcomes

7.B2.1

Use the properties and order of operations, and the relationships between operations, to solve problems involving whole numbers, decimal numbers, fractions, ratios, rates, and percents, including those requiring multiple steps or multiple operations.

What is Mathspace

About Mathspace