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14.01 Units of length

Worksheet
Conversions
1

Convert the following measurements:

a

1\text{ cm} to millimetres.

b

3\text{ cm} to millimetres.

c

4.65\text{ cm} to millimetres.

d

60\text{ mm} to centimetres.

e

88\text{ mm} to centimetres.

f

1\text{ m} to centimetres.

g

6\text{ m} to centimetres.

h

7.33\text{ m} to centimetres.

i

800\text{ cm} to metres.

j

14.9\text{ cm} to metres.

k

13\,898\text{ cm} to metres.

l

9000\text{ m} to kilometres.

m

12\,226\text{ m} to kilometres.

n

1\text{ km} to metres.

o

6\text{ km} to metres.

p

6.69\text{ km} to metres.

2

Convert the following measurements:

a

1\text{ m} to millimetres.

b

14\text{ m} to millimetres.

c

9.03\text{ m} to millimetres.

d

3484\text{ mm} to metres.

e

6\text{ km} to centimetres.

f

7.43\text{ km} to centimetres.

g

866\,800\text{ cm} to kilometres.

h

9\text{ km} to millimetres.

i

6.71\text{ km} to millimetres.

j

1\,528\,400\text{ mm} to kilometres.

Applications
3

A desk is 1.39\text{ m} long. A rug is 120\text{ cm} long.

a

Convert the length of the rug from centimetres to metres.

b

State whether the desk or the rug is longer.

4

Purnjay is 176\text{ cm} tall. Nadia is 1.51\text{ m} tall.

a

Convert Purnjay's height from centimetres to metres.

b

Which person is shorter?

5

State which person is taller in the following pairs:

a

Haonan is 165\text{ cm} tall and Tina is 1.53\text{ m} tall.

b

Hermione is 1.23\text{ m} tall and Sandy is 161\text{ cm} tall.

c

Joanne is 127\text{ cm} tall and Ellie is 1.41\text{ m} tall.

6

A coffee table is 1.17\text{ m} long. A whiteboard is 147\text{ cm} long.

a

Convert the length of the coffee table from metres to centimetres.

b

State whether the coffee table or the whiteboard is longer.

7

Plant 1 grows 3.6\text{ cm} in a week. Plant 2 grows 39\text{ mm} in the same week.

Which plant grows more in the week?

8

A rectangular table is measured to be 586 centimetres long and 3.64 metres wide.

a

Convert the length of the rectangular table to metres.

b

Calculate the difference between the length and the width in metres.

9

A rectangular table is measured to be 5.23 metres long and 4.99 metres wide. Calculate the difference in metres between the length and the width of the table.

10

The Qinghai-Tibet railway in China includes the Tanggula railway station. At 5068 metres high, it is the world’s highest railway station.

a

How many centimetres high is the station?

b

How many kilometres high is the station?

11

If a fly is 1.16\text{ cm} long and a bee is 19\text{ mm} long, how much longer is the bee than the fly in centimetres?

12

If a mosquito is 1.23\text{ cm} long and a wasp is 13\text{ mm} long, how much longer is the mosquito than the wasp in millimetres?

13

A tower is 125 metres tall.

a

Find the height of the building in kilometres.

b

Find the height of the building in centimetres.

14

The following table shows the distance from New York to other cities in the United States:

a

Which city is furthest from New York?

b

Which city is closest to New York?

c

Which city is about 1000\text{ km} further away from New York than Charlotte?

\text{City}\text{Distance (km)}
\text{Los Angeles}3940
\text{Houston}2284
\text{Washington}328
\text{Chicago}1146
\text{Charlotte}856
\text{New Orleans}1882
15

A car is 4\text{ m} long. A truck is 934\text{ cm} long.

a

Find the length of the truck in metres.

b

How many metres longer is the truck than the car?

16

A sail boat is 6\text{ m} long. A yacht is 956\text{ cm} long.

a

Find the length of the sail boat in centimetres.

b

How many centimetres longer is the yacht than the sail boat?

17

Michael wants to lay a row of square pavers along the edge of his 3\text{ m} garden bed as shown in the picture:

Find the side length of each paver in metres.

18

Ryan wants to lay a row of square tiles along the edge of his 6\text{ m} pool as shown in the picture:

Find the side length of each tile in metres.

19

The table below shows the different skyscrapers around the world and their heights:

NameHeight (meters)Height (kilometers)
\text{One World Trade Center}541.3
\text{Shanghai Tower}0.632
\text{Petronas Twin Towers}451.9
\text{Zifeng Tower}0.45
\text{Burj Khalifa}828
a

Complete the conversions for the given skyscrapers in the table above.

b

Which skyscraper is the tallest?

20

A brick is 230\text{ mm} long.

a

Find the length of a single brick in centimetres.

b

If 19 bricks were lined up lengthways to build a fence, how long would the fence be? Give your answer in centimetres.

c

Find the length of the fence in metres.

21

The wingspan of a jumbo jet is 6000\text{ cm}:

a

If 21 jumbo jets are lined up wing-to-wing, find the length of the total wingspan in centimetres.

b

Convert this length to kilometres.

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