Units Of Measurement And Applications Worksheet Page 24
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441 _
2 a
The temperature rose 14°C in 3
h. At what rate, in degrees per hour, did the temperature rise?
2
b
2
2
Jeremy spread 24 kg of fertiliser over an area of 60 m
. Calculate the rate of application in kg per m
.
c
Fred’s electricity bill was $174.72 for 1560 kilowatt hours of power (kWh). What was the cost of electricity
per kWh?
1 _
d
Peggy drove 195 km in 2
h at a constant speed. Calculate her speed in km/h.
2
e
Calculate the fl ow rate per minute if 119 L of water fl ows through a pipe in 35 min.
WORKED EXAMPLE 3
Convert 8 t/ha to:
a
b
2
c
2
kg/ha
kg/m
g/m
Solve
Think
Apply
8 t/ha = 8000 kg/ha
a
Change 8 t to 8000 kg.
Convert the given units
to the required units
b
Change 8 t to 8000 kg and
8000 kg
_________
8 t/ha =
and divide in the order
2
2
10 000 m
1 ha to 10 000 m
and divide.
given.
= 8000 ÷ 10 000 kg/m
2
= 0.8 kg/m
2
Change 8 t to 8 × 1000 × 1000 g
8 × 1000 × 1000 g
c
________________
8 t/ha =
2
2
10 000 m
and 1 ha to 10 000 m
and divide.
= 8 000 000 ÷ 10 000 g/m
2
= 800 g/m
2
WORKED EXAMPLE 4
Convert 72 L/h to mL/s.
Solve
Think
Apply
Change 72 L to 72 000 mL and
Convert the given units to the
72 000 mL
__________
72 L/h =
(60 × 60) s
1 h to 60 × 60 s and divide.
required units and divide in the
= 72 000 ÷ (60 × 60) mL/s
order given.
= 20 mL/s
3
Complete each of the following to convert:
a
2
b
16 t/ha to kg/m
$3.75/h to cents/min
□ kg
□ cents
$3.75
16 t
____
_____
_____
_______
Rate =
=
= ____ kg/m
Rate =
=
= ____ c/min
2
□ min
□ m
1 ha
2
1 h
c
$1.80/m to cents/mm
d
15%/year to %/month
□ cents
$1.80
15%
15%
_____
_______
______
_________
Rate =
=
=____ c/mm
Rate =
=
= ____%/month
□ mm
□ months
1 m
1 year
e
2.4 kg/L to g/mL
□ g
2.4 kg
______
______
Rate =
=
= ____ g/mL
□ mL
1 L
4
Convert the following.
a
b
c
45 L/h to mL/s
$12/kg to cents/g
18 km/h to m/s
d
e
f
27 L/h to mL/s
7.2 kg/day to g/min
14 km/h to cm/s
58
Insight Mathematics General 11
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