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16th September 2013
Objective: Can you solve problems with compounds measures, giving correct units? (Grade C)
Compound Measures 3
Starter
300 cm = feet
96 km = miles
18 litres= gallons
165 pounds = kilograms
12 pints = litres
Keywords 10 60 4 75
6.857
Kilometres per hour
Compound
Rate of change

2. Compound measures in real life

3. What does compound mean?
Compound measure is a measure which involves two units. Examples
The units of measure tell you how to calculate
Km/h will mean
Km ÷ hours
MPG
Km/litre
Km/h
Litres per minute

4. To get us ready
How many minutes in an hour?
What is 15 minutes as a fraction of an hour?
What is 36 minutes as a decimal of an hour?
How many minutes is 0.3 hours?
Write 5.7 hours in hours and minutes?
Write 562 minutes in hours and minutes? 60
0.6 18
5 h 42m
9 h 22m

5. Example Petrol is leaking from a tank at a rate of 5 litres per hour.
Work out how much petrol leaks in
30 minutes
4 hours
6 minutes
The petrol tank holds 100 litres. How
long does it take for the tank to be
empty?

6. Questions Green A car travels 260km and use 20 litres of petrol.
Work out the average rate of petrol usage? (km/l)
Estimate the petrol used when travelling 78km?
Amber
A windmill turns at a rate of 12˚ per second.
How many degrees does the windmill turn in 20 seconds.
How long will it take for the windmill to make a full turn?
Red
On a long journey a car travels 16km per litre of petrol.
How many litres of petrol the car uses per kilometre?
How far could we travel on 48 litres of fuel?

7. Answers Green a) 13 km/l b) 5 litres Amber a) 240 degrees
b) 30 seconds
Red
a) litres
b) 768 kilometres

8. To finish...
Water is flowing into a tank. In 5 minutes, 300 litres flow in.
Work out the average rate of flow of water into the tank?
There were 90 litres of water in the tank before water flow started. When full the tank holds 1200 litres. How long did it take for the tank to fill?