Name
5.1
Percent
MATHPOWER™ Seven, pp. 150-151
Percent means "out of 100." To write a number as a percent,
express it as a fraction with a denominator of 100.
Express the shaded part of eachfigureas a
percent.
1.
mm m • • •
mm m • • •
mm m • •
mm m • •
mm m • •
mm m • •
mm m • •
mmm m • • •
mmm a• •
mmm • • • •
37%
IL A ski club has 100 members. It recorded
the following attendances at its weekly
get-togethers. What percent of the members
were absent from each get-together?
9>l7o
Week Attendance (%)
1
fOO - 86 2
82
3
98
4
91
5
77
6
94
Absences (%)
/ f
1
f
22. Ms. Wollinski teaches grade 7 mam
students in the morning and grade 8 math
students in the afternoon. If 58% of her
students are in grade 7, what percent of her
students are in grade 8?
M7.
What percent of each figure is shaded?
5.
Find each percent of a dollar. Write your answers
in decimal form.
7o%
23. 29%
24. 32%
25. 4%
26. 73%
27. 65%
28. 88%
29. C^lso-SAved52%28%,>34%;95%, 16%,
/oo%
/
and 63% oflusjttmvaoc^oyer 6 months.
What jfcjEer^rdsaverageInonmly^sayings?^
Write each fraction as a percent.
t
100
100 - —
12. 2L A/%
13. i l
100
15. ^
50*i
18.
% 16. A * "
10*»"
—
19.
100
—
U.K./3
7'
% 17 l,V
JIS%
100 — —
f MP
5*io
v
100 — -
4A*/
b) dimes
3j'5
25* y
30.-Qne hundred coins are laid endjfy&nd in
the sequ^nce^hown below. Express the
number of eacnrype^ofcokfas a percent.
IQtf
Copyright © 1996 McGraw-Hill Ryerson Limited
55%
c) quarters
33%
53
Name
5.2 Fractions and Decimals as Percents
MATHPOW1R™ Seven, pp. 152-153
Express a decimal as a percent by converting
it to a fraction with a denominator of 100.
Express a fraction as a percent by
converting it to a fraction with a
denominator of 10X3.
0.33 = 0.33
- 4X20
""5X20
° 33 X 100
1 X 100
_„ 33
100
= 33%
s
= 80
100
= 80%
Complete the following table.
Complete the following.
7 _ W
100
10
f^
,
vOff'
*9 /I *A
_ 13 .
3
1 _ s
100
20
E[
=
Dedmal
25.
17 _ i l _
100
25
5 " loo "
50
_
100
26.
_
27.
Complete the following.
m%B.
0.75 = 100
= fz3%7s'
3f 9. 0.03 = M » [J]% 10. 0.60 = M = gij%^0
|»11. 0.61 =
£0
7*
14.0.07
? ,5"
15. 0.035
3S%
16. 0.45
^
17. 0.84
R¥%
18. 0.685
7
%
%
Inserr >, <, or = to mate e«c« statement true.
19. | f>l 75%
1
28.
0.58
29.
0S&
To ~
/Fo
_3.A s~
20
So %
19 * *
50
30. Ovide saved $9.00 of every $15,043 he
earned. What percent of money did he save?
3 10% 12. 0.05 = jS = 0% 4?5? 31. Ellen, Stephan, and Blake discussed their
Write each decimal as a percent.
13.0.2®
0.3
Lowest Terms
Fraction
Percent
3x^-0
test marks. Stephan said that he answered 21
out of 25 questions correctly. Ellen said that
she had 0.8 questions correct Blake claimed
to be 80% accurate.
a) How many questions did each person
answer correctly?
b) Who had the highest test mark?
20. 0.26 fCl 30%
1
5—
32. About | of the people in Canada live
21. 48% =r 0.48
22. 0.7 |>J 7%
23. 66% g ] 0.68
24. |
[2 35%
in Quebec. What percent of the population
lives outside Quebec?
33. The age of about 0.275 of the Canadian
population is 19 years or less. Express this
decimal as a percent.
<^7^ S" Vo
54
Copyright © 1996 McGraw-Hill Ryerson Limited
Name
5.3 Percents as Fractions and Decimals
MATHPOWER™ Seven, pp. 154-155
Change a percent to a fraction by
writing it with a denominator of
100 and reducing to lowest terms.
Change a percent to a decimal by writing it
as a fraction with a denominator of 100. Then,
divide the numerator by the denorninator.
48% = 48
100
ii
25
78% = 78
100
Write each percent as a fraction in lowest terms.
Express each percent as a fraction in lowest
terms and as a decimal.
= 0.78
I. 15% TciQ ^' ^o 2. 36% *pon
3.
44% %otl
' yjo04.
5. 8% ^tf<9 -V <M
^
45% / ^ ? r " " %
6. 60%
30. About 15% of the people living in Canada
were born outside Canada.
JmA2£L—^f
iii.iii.ii.MMniiiniii
Write each percent as a decimal.
0' lb
8. 48%
9. 3% 0 * 0 3
io. 30%
7.
16%
I I . 5%
0*0**
0'^%
0- %
12. 15%
O'I'Sf
Write each percent as a decimal and as a fraction
in lowest terms.
13. 14%
O'tf
14. 82% ^
#
15. 10% I/to
0*1
16. 66%
17. 75% 0*7?
18. 90% ^ " f
3
«,^mmmmmmmmmm^^m^mmMAmiimSmm3Km-m^«^k
m
mmwmmmm-<~mmmmm^M»vm mm*yMmumm
nV
31. Montreal, Quebec, gets about 80% as
much sunshine as Estevan, Saskatchewan.
o' B
9s-
rc?u
32. About 2% of the people in Canada live in
Newfoundland and Labrador.
C%02
V}GQ~
j/so
The North American Free
Trade Agreement
includes Canada,
the United States,
and Mexico. The
circle graph shows
the percent of the
total population
that lives in each of
the three countries.
Complete the chart.
19.
20.
21.
22.
23.
Percent
33%
4%
32%
11%
95%
Decimal
Fraction in
Lowest Terms
Q» 3
|
o.zs
o^oj
o_^P
34. Express each percent as a fraction in
lowest terms.
^
f
0,32
0<fl
0.9s"
Insert <, >, or = to make each statement true.
24. 24%
33. Express each percent as a decimal.
^
25. 0.59 g ] 60%
26. 10% [>] 0.01 / £
27. | i [>] 50% ST
_
28. 2%F] A « i .
— 50
29. 0.39 \2\ 38%
Copyright © 1996 McGraw-Hill Ryerson Limited
35. What fraction of the total population lives
in Canada or the United States? Write your
answer in lowest terms.
,^
/
6&%t7e*7*r*
woo
I* - vy
36. What fraction of the total population does
not live in the United States? Write your
•
answer in lowest terms, l y / p r ) *' ^ WJJ>
\oo-68Z>*Z*7*
55
«•
Name
5.6 Finding the Percent
MATHPOWER™ Seven, pp. 160-161
To find a percent using a fraction, express the denominator as
100 or divide the numerator by the denominator.
151 = 151 + 2
200 + 2
200
19 « 19 X 4
25X4
25
= 76
100
= 76%
| = 0.375
= 37.5%
100
= 75.5%
Express each fraction as a percent.
i
4
*
* so *
i
20
(oo
fee
5
a) What percent will her mark be if the tes/~ c
graded out of 50?
io7o
1772 7"J"
5
8
40
45 f f jfVyo
S) t-ot? 5
xo
IL
a
What percent of the first number is the second
number?
8.
7. 400,160
16. Martina completed 48 of the
.
50 questions on her last mathematics test. Sfit
answered 36 questions correctly.
550,137.5
b) What percent will her mark be if the tes f i
graded out of the number of questions
completed?
L
L
¥9
' y J i i ' ' to*
^17. When Yuri was a baby, he measured
60 cm long and had a mass of 4.5 kg. Yuri \
12 years old now. He measures 150 cm and" "^
60 kg.
x
8
10. 112,14.56
9. 75,11.25
)S%
a) What percent is Yuri's baby height of
Yuri's present height ?
73%
12. 500,400
11. 15,5.7
39%
| ^ I f - go %
14. 200,38
13. 30, 21.9
737,
Ztf) ^>
15, The neighbourhood hockey team won 72
out of 120 games and tied 4 games.
a) What percent of their games did the
hockey team win?
,
Irf^fU&d
/toe-7S
b) To the
their games did
percent of
team lose?
till
it To the nearest percent, what percent of
their games did the hockey team tie?
ojaT
58
—2_2^
_
b) What percent is Yuri's mass as a baby of
YurTsi^tmas??
7^%
to
18. Mr. Culver's mathematics class has
worked through 246 pages of their
~~^f
mathematics textbook: Of the 482 pages in t
book, 1A pages ma)ee up the table of content
and the index.
a) Approximately, what percent of the enth
textbook haVbeen completed?
^
5
l7o
b) AJ*out what percent of the textbook has
not^et been coWed, excluding the table of
contents and the\ndex?
, .
l
^7%
Copyright © 1996 McGraw-Hill Ryerson Limit