Topic 7 Percentages With Answer Key - Math Quest 7 Page 6
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40number and algebra
underSTandIng
Imran saves 20% of his pocket money each week. What fraction does he save?
6
In one game, 35% of a football team is injured. What fraction of
7
the team is injured?
Each week Jodie spends 45% of her wages at the supermarket.
8
What fraction of Jodie’s wages is spent at the supermarket?
What fraction of a class of students are boys if 68% are girls?
9
If the unemployment rate in Australia is 8%:
10
what fraction of the population is unemployed?
a
what fraction of the population is employed?
b
out of 100 people, how many would you expect to be
c
unemployed?
Seventeen per cent of visitors to Australia in 2005 were
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from New Zealand.
What fraction of visitors to Australia was from
a
New Zealand?
What fraction of visitors to Australia was not from
b
New Zealand?
Out of 100 visitors to Australia, how many would you
c
expect to be from New Zealand?
Less than 50% of the estimated 200 000 Australian
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invertebrate species have been described. What fraction is this?
What fraction remains if:
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65% of the winnings have been spent
a
19% of the audience hated the movie
b
all stock was discounted by 15%
c
93.5% of the school population supports the uniform policy?
d
Hydrogen
reaSOnIng
atoms
80% of the atoms of a molecule of methane (natural gas) are hydrogen
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a
Carbon
atoms. What fraction of the methane molecule is represented by
atom
hydrogen atoms?
The diagram below right represents a molecule of glycolaldehyde, a
b
simple form of sugar, found in the gas surrounding a young star called
Methane molecule
IRAS 16293‐2422, located around 400 light‐years away from Earth.
50% of the atoms of this molecule are hydrogen atoms. What fraction
Carbon
Hydrogen
atoms
of the glycolaldehyde molecule is represented by hydrogen atoms?
atoms
Explain why, although both molecules have the same number of
c
hydrogen atoms, they represent different fractions?
·
Explain why 33.33
% is an approximation and not the identical
15
1
value of
.
3
Oxygen
atoms
PrOblem SOlVIng
Glycolaldehyde molecule
80% of the students in a Year 7 class have pets and 20% have blue eyes.
16
What fraction of students has pets?
a
What fraction of students has blue eyes?
b
Does this mean that none of the students with blue eyes have pets? Explain your answer.
c
Shirley plays basketball in her school’s team. In the last game she scored 50 points out
17
of 75 throws but in the previous game she scored 45 points out of 60 throws.
In what game did she score a higher percentage of points relative to the number of
a
throws?
Topic 7 • Percentages
249
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