Number And Algebra - Chapter 7 Applying Ratios And Rates - Nelson Think Math Page 8
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32N E L S O N T H I N K M A T H S
8
A u s t r a l i a n C u r r i c u l u m
for the
2
Country
Population
Area (km
)
Population density
Myanmar (Burma)
50 020 000
676 578
New Zealand
4 315 800
270 534
North Korea
24 051 706
120 538
Pakistan
175 540 000
803 940
Papua New Guinea
6 732 000
462 840
Philippines
92 226 600
300 076
Republic of China (Taiwan)
23 069 345
35 980
Singapore
5 076 700
710.2
South Korea
48 456 369
99 538
Thailand
64 232 760
513 115
Vietnam
85 789 573
331 689
Which of the countries listed has the largest area? Which has the smallest area?
Which has the largest population? Which has the smallest population?
Calculate the population density for each country.
What do the high population density countries (apart from Singapore) have in common?
How are they different from Australia and Mongolia?
Exercise 7.1
Rates
Understanding
1
Express the following as rates in simplest form.
a
Aldo earned $264 by working for 10 hours.
Extra questions
b
Beatrice was paid $174 for 6 hours of work.
Exercise 7.1
c
A 3 kg bag of tomatoes cost $4.65.
MAT08NAEQ00023
d
It takes 3 L of water to dissolve 200 g of solid pool chlorine.
See Example 1
e
A CD spun 480 revolutions in 5 seconds.
2
Find the average speed in each of the following cases.
See Example 2
a
A car travels 100 km in 2 hours.
b
A skateboard rider travels 120 m in 16 seconds.
c
A cyclist covers 480 km in 15 hours.
d
A greyhound runs 780 m in 40 seconds.
e
A cheetah runs 414 m in 12 seconds.
f
A jet flies 3150 km in 6 hours.
Fluency
3
How much electricity is used by:
a
a small fridge rated at 150 W running for a day?
Worked solutions
b
a stove rated at 11 000 W running for 3 hours?
Exercise 7.1
c
an automatic washing machine rated at 900 W running for 4 hours?
MAT08NAWS00023
d
a large air-conditioner rated at 2400 W running for 3 days?
See Example 5
e
a TV, stereo, computer and game console running on standby (each at a rating of only
10 W on standby) for a month?
245
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