15 Relative Frequency And Probability Examples And Worksheets - Maths Quest General Maths Preliminary Course Page 2

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Try the questions below. If you have diffi culty with any of them, extra help can be obtained by
completing the matching SkillSHEET. Either click on the SkillSHEET icon next to the question
on the Maths Quest Preliminary Course eBookPLUS or ask your teacher for a copy.
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Converting fractions to decimals
Digital doc
1
Convert the following fractions to decimals.
SkillSHEET 15.1
doc-1652
3
1
b
a
Converting
4
5
fractions to
17
3
d
c
decimals
20
10
Converting decimals to percentages
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eBook
plus
2
Convert each of the following decimals to percentages.
Digital doc
a
b
0.3
0.65
SkillSHEET 15.2
doc-1653
c
0.04
d
0.125
Converting
decimals to
percentages
Simplifying fractions
eBook
plus
eBook plus
3
Simplify each of the following fractions.
Digital doc
5
28
SkillSHEET 15.3
a
b
20
32
doc-1654
Simplifying
160
18
c
d
fractions
200
50
Converting fractions to percentages
eBook plus
eBook
plus
4
Write each of the following fractions as percentages.
Digital doc
SkillSHEET 15.4
1
3
a
b
doc-1659
4
5
Converting
5
1
c
d
fractions to
8
3
percentages
Probability scale
eBook plus
eBook
plus
5
For each of the following events, specify whether the chance of the event occurring is certain,
Digital doc
fifty-fifty or impossible.
SkillSHEET 15.5
a
Two dice are rolled and a total of 14 is obtained.
doc-1661
Probability
b
A coin is tossed and it lands on Tails.
scale
c
The month of July will follow June.
d
The maximum temperature on a summer’s day in Sydney will be less than 0°C.
e
A fair die is rolled and a number less than 4 is obtained.
Theoretical probability
eBook
plus
eBook plus
6
In a box of chocolates, there are 6 soft-centred chocolates, 4 hard-centred chocolates and
Digital doc
5 nut-centred chocolates. A chocolate is selected at random.
SkillSHEET 15.6
doc-1662
a
What is the probability of selecting a hard-centred chocolate?
Theoretical
b
What is the probability of selecting a soft-centred chocolate?
probability
c
What is the probability of selecting a nut-centred chocolate?
d
What is the sum of the probabilities calculated in parts a,
b
and c?
480
Maths Quest General Maths Preliminary Course

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