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1.01 Units of length and area

Worksheet
Units of length
1

Give three examples of units that can be used when measuring length together with an example of what could be measured using those units.

2

Determine whether to use centimetres, metres or kilometres as best unit of measure for the length of the following:

a

A pencil.

b

A river.

3

Determine whether to use millimetres, centimetres, metres or kilometres to measure the length of each of the following:

a

A white board.

b

The distance from Perth to Sydney.

c

How far a person can jump.

d

A whale

e

A cat

f

An elephant

g

An ant

h

A shoe

i

A mouse

j

A car

k

Australia's coastline

4

Use the rulers shown to find the length of the shaded bars:

a
b
5

Give a reasonable estimate of each of the following distances:

a

Length of a city block.

b

Distance from Sydney to Melbourne.

c

Length of a bee.

d

Length of a fingernail.

e

Height of a mug.

f

Distance from Sydney to Hong Kong.

g

Height of a desk.

h

Distance to the Moon.

6

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.

q

59\text{ mm} to centimetres.

r

7\text{ m} to centimetres.

s

13\text{ cm} to millimetres.

t
25.97\text{ mm} to centimetres.
u

1402\text{ cm} to metres.

v

19\text{ km} to metres.

w

18\,445\text{ m} to kilometres.

7

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.

Units of area
8

Give three examples of units that can be used when measuring area together with an example of what could be measured using those units.

9

State the appropriate unit for measuring the area of the following:

a

A football field.

b

A country.

c

A coin.

d

An A4 sheet of paper.

e

A bathroom wall.

f

A classroom.

g

Australia.

h

A matchbox.

i

An exercise book.

j

A street.

k

A school playground.

l

A pencil case.

m

A cotton farm.

10

State whether the following objects would have an area of about 1\text{ m}^2:

a

The goal area on a football field.

b

The lid of a shoe box.

c

A coffee table.

d

A baking tray.

11

Determine whether to use square metres (\text{m}^{2}) or hectares (\text{ha}) to measure the area of the following.

a

a national park

b

a door

12

Convert the following to \text{m}^2.

a
15\,000\text{ cm}^2
b
126\,000\text{ cm}^2
c
9000\text{ cm}^2
d
187\text{ cm}^2
e

0.56\text{ km}^2

f

34\,000\text{ cm}^2

g

10.4 hectares

h

6 hectares

13

Convert the following to \text{cm}^2:

a

7\text{ m}^2

b

0.04\text{ m}^2

c

810\text{ mm}^2

d

12\,000\text{ mm}^2

e
6\text{ m}^2
f
4.2\text{ m}^2
g
0.8\text{ m}^2
h
7.92\text{ m}^2
14

Convert the following to \text{mm}^2:

a
4\text{ cm}^2
b
22\text{ cm}^2
c
123\text{ cm}^2
d
6.2\text{ cm}^2
15

Convert the following areas to \text{km}^2:

a
4\,900\,000\text{ m}^2
b
980\,000\text{ m}^2
c
24\,500\,000\text{ m}^2
d
12\,000\text{ m}^2
16

Convert the following areas as indicated:

a

5 \,\text{m}^2 to \text{cm}^2

b

6 \,\text{km}^2 to \text{m}^2

c

20\,000 \,\text{cm}^2 to \text{m}^2

d

1100 \,\text{mm}^2 to \text{cm}^2

e

12 \,\text{m}^2 to \,\text{cm}^2

f

11 \,\text{km}^2 to \text{m}^2

g

7 \,\text{cm}^2 to \,\text{mm}^2

h

7600 \,\text{cm}^2 to \text{m}^2

i

27\,000 \,\text{m}^2 to \,\text{km}^2

j

750 \,\text{mm}^2 to \,\text{cm}^2

k

10 \,\text{cm}^2 to \,\text{mm}^2

l

12\,500 \,\text{cm}^2 to \text{m}^2

m

1\,518\,000 \,\text{m}^2 to \,\text{km}^2

n

1520 \,\text{mm}^2 to \,\text{cm}^2

17

Convert the following to hectares.

a

54\,800\text{ m}^2

b

20\,000\text{ m}^2

18

Convert the following areas as indicated:

a

6 \,\text{ha} to \text{m}^2

b

2 \,\text{ha} to \text{m}^2

c

8.11 \,\text{ha} to \text{m}^2

d

10.7 \,\text{ha} to \text{m}^2

e

7.25 \,\text{ha} to \text{m}^2

f

26\,\text{ha} to \text{m}^2

g

26\,100 \,\text{m}^2 to \text{ha}

h

200\,000 \,\text{m}^2 to \text{ha}

i

84\,500 \,\text{m}^2 to \text{ha}

j

3\,200\,000 \,\text{m}^2 to \text{ha}

k

9\,750 \,\text{m}^2 to \text{ha}

l

16\,500\,000 \,\text{m}^2 to \text{ha}

Applications
19

A coffee table is 1.01\text{ m} long. A rug is 125\text{ cm} long.

a

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

b

Is the coffee table or the rug longer?

20

Plant 1 grows 4.8\text{ cm} in a week. Plant 2 grows 50\text{ mm} in the same week. Which plant grew more in the week?

21

The amount of rain in two cities is recorded in the table:

Which city had less rain?

CityRainfall
\text{Perth}46\text{ mm}
\text{Brisbane}7.2\text{ cm}
22

The heights of three men were measured as shown in the diagram:

a

How tall is Man 1?

b

How tall is Man 2?

c

If Man 3's height is halfway between 160\text{ cm} and 170\text{ cm}, how tall is Man 3?

23

A car is 5\text{ m} long. A truck is 821\text{ cm} long. How many metres longer is the truck than the car?

24

A rectangular table is measured to be 4.26 metres long and 3.18 metres wide. Calculate the difference in metres between the length and the width of the table.

25

A rectangular table is measured to be 253 centimetres long and 1.49 metres wide. Find the difference between the length and the width in metres.

26

The table given 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
27

Iain is 179\text{ cm} tall. Maria is 1.49\text{ m} tall. Who is taller and by how many centimetres?

28

Below is a table of different skyscrapers around the world and their heights:

\text{Name}\text{Height (m)}\text{Height (km)}
\text{Pertronas Twin Towers}451.9
\text{One World Trade Center}0.5413
\text{Shanghai Tower}632
\text{Burj Khalifa}0.828
\text{Zifeng Tower}450
a

Complete the conversions in the table.

b

Which skyscraper is the tallest?

29

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

How long is the side of each paver? Give your answer as a decimal in metres.

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Outcomes

ACMEM090

review metric units of length, their abbreviations, conversions between them, estimation of lengths, and appropriate choices of units

ACMEM092

review metric units of area, their abbreviations, and conversions between them

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