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iGCSE (2021 Edition)

12.01 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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Outcomes

0580C5.1

Use current units of mass, length, area, volume and capacity in practical situations and express quantities in terms of larger or smaller units.

0580E5.1

Use current units of mass, length, area, volume and capacity in practical situations and express quantities in terms of larger or smaller units.

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