Units Of Measurement And Applications Worksheet Page 26
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449
A patient in hospital is given an antibiotic solution intravenously
at the rate of 80 mL/h.
1 _
a
How much antibiotic solution will the patient receive in 6
h?
2
b
How often would 600 mL containers of antibiotic solution
need to be changed?
c
If 1 mL of this solution contains 15 drops, calculate the rate
at which the patient receives the antibiotic in drops/minute.
10
Anna is paid at the rate of $23.60/h.
a
How much would she be paid for working 15 h?
b
How long would she need to work to earn $472?
c
Anna wants to save for a trip. If she works 28 h in week 1,
and 31 h in the next week, how many more hours does she
need to work to earn $2000?
11
The conversion rate for Australian dollars (A$) into American
dollars (US$) is 0.95 A$/US$, (US$1 = A$0.95).
a
How many US dollars would I receive for A$2750?
b
How many Australian dollars would I receive for US$1300?
c
Convert US$1800 into A$.
12
On a trip of 400 km a car uses 30 L of petrol.
a
Express the fuel consumption in L/100 km.
b
Assuming the same rate of fuel consumption:
i
how much fuel would the car use for a trip of 500 km?
ii
how far could the car travel on a full tank of 45 L?
The average distance of the Earth from the Sun is 1.49 × 10
13
8
km. Assume the Earth travels in a circular orbit
around the Sun.
Calculate (to 3 signifi cant fi gures) the distance travelled by the Earth in one complete orbit. (C = 2πr)
a
b
It takes the Earth 1 year (365.25 days) to travel this distance. Using the answer from part a, fi nd the average
speed at which the Earth travels through space in:
i
ii
km/h
km/s
14
If it costs 15 cents for 1 kilowatt (1000 W) of power for 1 h, how much does it cost to run a 2400 W heater from
5 pm to 11 pm?
2H
Ratios
Ratios
A ratio is a comparison between quantities of the same kind.
A ratio can be written using colon notation or as a fraction.
A ratio does not have units.
Ratios are simplifi ed by multiplying or dividing each term of the ratio by the same number.
60
Insight Mathematics General 11
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