1. ©G Dear 2010 – Not to be sold/Free to use
Applied Mathematic
(Preliminary General 1)
Measurement
Rates
Stage 6 - Year 11
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©G Dear 2010 – Not to be sold/Free to use

2. Rates and Measurement A rate is a comparison of two quantities
of a different type.
When simplifying rates, we compare the 1st quantity with ‘1’ unit of the 2nd quantity.
Rates are converted by multiplying or dividing each term to get the correct units.
Then divide the first quantity by the second.

3. Rates and Measurement What is a light-year?
Speed of Light = km/s
3x105 km/s
1.08x109 km/hr
2.59x1010 km/day
9.5x1012 km/year
One Light-Year
9.5 trillion km

4. How much does he get paid
Rates and Measurement
Calculating Pay Rates
A fireman earns $25.49/hour
How much does he get paid
For a 35 hour week?
$25.49 / hr
x x35
$892.15/38 hr
$892.15/week

5. How much does he get paid
Rates and Measurement
Calculating Pay Rates
A nurse earns $24.93/hour
How much does he get paid
For a 38 hour week?
$24.93 / hr
x x38
$947.34/38 hr
$947.34/week

6. Rates and Measurement Calculating Flow Rates
A car travels at 100 km/hour
What is the speed in m/sec?
100 km/1 hour
x1000
x60 x60 m/
3 600 secs
÷3600 .
÷3600
27.7 m/sec
28 m/sec

7. Rates and Measurement Calculating Flow Rates
The run rate in a 50 over cricket game
is 7.2 runs/over.
What is the run rate in runs/game
7.2 runs/1 over
x50
x50
360 runs/
50 overs
360 runs/game

8. Calculating Wage Rates
Rates and Measurement
Calculating Wage Rates
Mary is paid $674.50
for a 38 hour week.
What is her pay rate)
$675/38 hours
÷38
÷38
$17.75/
hour