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Standard level

1.01 Metric units

Worksheet
Mass
1

Convert the following:

a

60 \text{ g} to milligrams \text{(mg)}

b

0.47\text{ g} to milligrams \text{(mg)}

c

87\text{ mg} to grams \text{(g)}

d

8505\text{ mg} to grams \text{(g)}

e

946 \text{ g} to kilograms \text{(kg)}

f

6.251 \text{ kg} to grams \text{(g)}

g

3\dfrac{3}{5} \text{ kg} to grams \text{(g)}

h

8500\text{ kg} to tonnes \text{(t)}

i

630\text{ kg} to tonnes \text{(t)}

j

9.272 \text{ t} to kilograms \text{(kg)}

k

0.493 \text{ t} to kilograms \text{(kg)}

2

Valerie has fruit everyday for breakfast. Today she consumed 45 cherries, which weighed a total of 180 grams. On average, how many milligrams does one cherry weigh?

3

True or False: 5\text{ kg} > 5600 \text{ g}

4

What metric unit represents 'one thousandth of a kilogram'?

5

Aoife's bag weighs \dfrac{1}{2} of a kilogram. How many grams does the bag weigh?

6

The cost of mining gold for a mining company is \$840 per gram. How much will it cost the company to mine 0.2 kilograms of gold?

Length
7

State whether the following units can be used to measure length:

a

Litres, \text{L}

b

Centimetres, \text{cm}

c

Cubic centimetres, \text{cm}^3

d

Kilometres, \text{km}

e

Square meters, \text{m}^2

f

Millimetres, \text{mm}

8

Convert the following lengths, writing your answer as a decimal:

a

80 \text{ mm} to centimetres \text{(cm)}

b

59\text{ mm} to centimetres \text{(cm)}

c

4\text{ m} to centimetres \text{(cm)}

d

9.36\text{ m} to centimetres \text{(cm)}

e

6\dfrac{3}{4}\text{ m} to centimetres \text{(cm)}

f

9000\text{ m} to kilometres \text{(km)}

g

4832.1 \text{ m} to kilometres \text{(km)}

h

6.52\text{ m} to millimetres \text{(mm)}

i

49.1\text{ cm} to metres \text{(m)}

j

1402\text{ cm} to metres \text{(m)}

k

7.66\text{ km} to metres \text{(m)}

l

\dfrac{4}{5}\text{ km} to metres \text{(m)}

9

A skyscraper is 961 metres tall. Convert the height of the building to:

a

Kilometres

b

Centimetres

10

Neville is 141 \text{ cm} tall and Rosey is 1.78 \text{ m} tall.

a

Convert Rosey's height from metres to centimetres.

b

Who is shorter, Rosey or Neville?

11

Plant 1 grows 4.8 \text{ cm} in a week, while Plant 2 grows 50 \text{ mm} in the same week.

Which plant grows more in the week?

Area
12

Convert the following:

a

3 \text{ m}^2 to square centimetres \left( \text{cm}^2 \right)

b
7 \text{ m}^2 to square centimetres \left( \text{cm}^2 \right)
c
0.56 \text{ km}^2 to square metres \left( \text{m}^2 \right)
d
54\,800 \text{ m}^2 to hectares \text{(ha)}
e
810 \text{ mm}^2 to square centimetres \left( \text{cm}^2 \right)
f
10.4 \text{ ha} to square metres \left( \text{m}^2 \right)
g
34\,000 \text{ cm}^2 to square metres \left( \text{m}^2 \right)
h
5.73 \text{ cm}^2 to square millimetres \left( \text{mm}^2 \right)
13

Convert the following:

a

790\,000\,000\text{ cm}^{2} to square kilometres

b

6 \text{ ha} to square metres

c

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

d

8\,750 \text{ m}^{2} to hectares

14

Find the area of a square of side 290 \text{ cm}, in square metres.

15

A park has an area measuring 19 acres. Given that 1 acre is approximately 4000 \text{ m}^2, find the area of the park in square metres.

16

A property covers an area of 4.5 \text{ ha}. Given that 1 \text{ ha} is 10\,000 \text{ m}^2, calculate the following:

a

The area of the property in square metres.

b

The area of the property in acres, given that 1 acre is approximately 4000 \text{ m}^2.

17

A large cattle station covers an area of 320 acres. Given that 1 acre is approximately 0.4 \text{ ha}, and 1 \text{ ha} is 10\,000 \text{ m}^2, calculate the following:

a

The area of the cattle station in hectares.

b

The area of the cattle station in square kilometres.

Capacity
18

What metric unit represents 'one thousandth of a litre'?

19

How much water is in the jug shown? Give your answer in litres.

20

Convert the following:

a

2000\text{ mL} to litres \text{(L)}

b

4920\text{ mL} to litres \text{(L)}

c

240\text{ mL} to litres \text{(L)}

d

5\text{ kL} to litres \text{(L)}

e

1.67 \text{ kL} to litres \text{(L)}

f

0.4\text{ L} to millilitres \text{(mL)}

g

1.54\text{ L} to millilitres \text{(mL)}

h

3\dfrac{4}{5}\text{ L} to millilitres \text{(mL)}

i

84.6\text{ L} to kilolitres \text{(kL)}

j

1425\text{ L} to kilolitres \text{(kL)}

21

James drank \dfrac{9}{10} litres of water. How much did he drink in millilitres?

22

How many 150-millilitre jugs of soda water will be needed to fill a 2.4-litre container?

23

279 children went on a picnic. Each child drank 400 millilitres of orange juice.

Calculate the number of litres consumed altogether.

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