Units Of Measurement Worksheets Page 19
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321
1
1
bananas = 4 × 1
lemon juice = 10 mL × 1
Multiply each ingredient by 1
.
2
2
2
2
= 6
= 15 mL
1
1
eggs = 2 × 1
castor sugar = 20 g × 1
2
2
= 3
= 30 g
1
1
coconut = 250 g × 1
apricot jam = 20 g × 1
2
2
= 375 g
= 30 g
In a few examples a rate can compare two measurements of the same type. For example, a
concentration of medicine may contain a mass/weight rate or a mass/volume rate. This is where
we are measuring the concentration of a certain substance. The concentration is the amount of
one substance that is contained within another.
WoRKEd ExaMPlE 17
The concentration of pentoxyverine citrate in a cough mixture is 15 mg/100 mL. A person should
not consume more than 9 mg of pentoxyverine citrate per day. If one dose of the cough medicine is
10 mL, what is the maximum number of doses a person can have per day?
THINK
WRITE
1 dose = 10 mL, so 100 mL = 10 doses
1
Calculate the amount of pentoxyverine
citrate in one dose of cough mixture.
15 mg of pentoxyverine in 100 mL of cough
mixture means 15 mg of pentoxyverine citrate
in 10 doses or 1.5 mg of pentoxyverine citrate
in 1 dose.
9 ÷ 1.5 = 6
2
Divide the maximum amount of
pentoxyverine citrate that can be
consumed per day by the amount in
each dose.
3
Give a written answer.
A person can have a maximum of 6 doses of cough
mixture per day.
We need to be able to use the conversion facts for measurement to convert between rates. We
should be able to convert km/h to m/s and other similar rates. This is done by changing each unit
separately at each stage of the conversion while keeping the equivalent rate.
WoRKEd ExaMPlE 18
Convert the speed 20 m/s into km/h.
THINK
WRITE
Convert 20 m/s to m/min by multiplying
20 m/s = 1200 m/min
1
by 60.
= 72 000 m/h
2
Convert 1200 m/min to m/h by
multiplying by 60.
= 72 km/h
3
Convert 72 000 m/h to km/h by dividing
by 1000.
63
Chapter 2
Units of measurement
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