Topic 7 Percentages With Answer Key - Math Quest 7 Page 14

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number and algebra
reaSOnIng
Place the following percentages, decimals and fractions on a number line from
22 a
lowest to highest.
3
7
25 % ,
, 0.39, 78.2 % ,
4
10
Give reasons for the placement of each number.
b
Convert the following fractions to:
23 a
decimals
percentages.
i
ii
1
1
1
1
1
,
,
,
,
2
3
4
5
6
Add up the following numbers:
b
·
·
1
1
1
,
,
50 % , 33.3  3
%, 16.6  6
%
i
ii
2
3
6
Have you noticed anything about the values in part
and
?
c
b i
ii
Find three other fractions that add up to 1 and check that their percentages add up
d
to 100%.
PrOblem SOlVIng
2
Shirley works for a publishing company for
of the week and teaches Mathematics in
24
5
a school for 0.4 of the week.
For what percentage of the week does Shirley work
a
as a publisher
as a teacher?
i
ii
Considering the two jobs, does Shirley work full time? Explain.
b
Shirley would like to volunteer some of her time at the local charity shop for one
day during the week.
Does she have the time to help at the charity shop?
c
1
You have a discount voucher for
off the price of electrical items at a particular shop.
25
3
As you walk into the shop, you notice the following sign displayed.
The fi ne print at the bottom of the sign means that you cannot use your discount
1
voucher to receive a further
off the sale price. Will it be cheaper to buy your electrical
3
item today or after the sale using your discount voucher? Explain your answer.
Topic 7 • Percentages
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