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CanadaON
Grade 9

2.01 Ratios

Worksheet
Ratios
1

Write the ratio 2:3 in words.

2

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

a
b
3

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

a

What is the total length of the bridge?

b

In what ratio are PQ and RS ?

c

In what ratio are PQ and PS ?

d

In what ratio are PQ, QR, and RS ?

Equivalent and simplified ratios
4

Simplify the following ratios:

a

30:70

b

300:350

c

-21:12

d
10:24
e
48:-135
f

0.3:0.45

g

-0.21:0.56

h

0.012:0.028

i
0.1:0.05
j
0.9:7.2
k
1:0.7
l
0.75:2
m

\dfrac{3}{4}:\dfrac{7}{12}

n

\dfrac{1}{5}:-\dfrac{8}{9}

o
\dfrac{20}{3}:4
p
7\dfrac{2}{9}:6
q
-5.4:0.75
r
4.2:4.5
s
12:45:18
t
3:2.4:0.45
5

Complete the following equivalent ratios:

a

⬚:8 = 1:5

b

⬚:3 = 5:2

c

⬚:2 = -48:16

d

⬚:30 = 4:1

e

⬚:6 = 7:8

f

-9:4 = ⬚:5

g

7:4 = ⬚:22

h

7:9 = 88:⬚

i
9:8 = ⬚:32
j
⬚:-5 = 132:-60
k
-0.4:⬚ = 10:-28
l
1.8:3 = 27:⬚
6

The ratio of length to width of a company's logo is 4:5. Complete the following table for the given lengths and widths:

Length (m)134
Width (m)0.5517
7

Express the following as a simplified ratio:

a

50 cents to \$2.10

b

3.8 \text{ kg} to 180 \text{ g}

c

5 years to 33 months

d

624 hours to 71.5 days

e

3400 metres to 2 kilometres

f

40 minutes to 4 hours

g

3 years to 15 years

h

\dfrac{18}{25} \text{ kg} to 230 \text{ g}

i

\dfrac{6}{7} of an hour to 2\dfrac{1}{2} hours

j

\$0.60 to \$2.20

k

3.8 \text{ kg} to 180 \text{ g}

l

48 meters to 64 meters

8

For every \$20 Jacqueline earns at her job, she gives \$2.50 to a charity.

a

Explain why we should use a negative to write this as a ratio.

b

Write this scenario as a simplified ratio.

c

If Jacqueline earned \$680 this week, how much money will she give to charity?

9

For every \$1000 Han earns, he gets taxed \$260.

a

Write this scenario as a simplified ratio.

b

If Han earned \$64\,000 this year, how much money did he pay in taxes?

10

A journalist spent a total of 24 hours researching, writing and editing a news report. She spent 14 hours researching and 6 hours writing.

a

How many hours did she spend editing the report?

b

Find, in simplest form, the ratio in which her time was divided between researching, writing and editing.

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Outcomes

9.B3.3

Apply an understanding of integers to explain the effects that positive and negative signs have on the values of ratios, rates, fractions, and decimals, in various contexts.

9.B3.5

Pose and solve problems involving rates, percentages, and proportions in various contexts, including contexts connected to real-life applications of data, measurement, geometry, linear relations, and financial literacy.

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