Exam
Name___________________________________
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
1)
Is the best buy (lowest cost per unit) always the best value? Give an example when this is
not true and explain why.
1)
2)
Suppose that Jody drove 80 miles in 2 hours. Dividing 80 by 2 tells us how many miles
Jody drove in each hour. The units for this rate are miles per hour (mi/hr). If we divide 2 by
80 what information would this give us? Give an interpretation of the rate 2
80 = 0.025.
What units would be used for this rate?
2)
3)
Ben drove his car 724 kilometers in 5 hours while he was on vacation in Italy. He was
trying to estimate how far he could drive in 7 hours the next day so he set up the following
proportion: 724
5=7
x. Explain why this proportion will not give him the correct answer.
3)
4)
In triangle A, the longest side is twice as long as the shortest side. In triangle B, the longest
side is also twice as long as the shortest side. If this is the only information you have about
the two triangles, can you conclude that they must be similar? If you think that the two
triangles must be similar, explain your answer. If you do not think that the triangles must
be similar, sketch a counterexample.
4)
5)
7
22 =12
3. Which method did you use to determine whether this proportion is true or false?
5)
6)
Stephen said that the ratio of his mortgage to the sales price of his house is 7 to 5. Is this
reasonable? Explain your answer.
6)
7)
Can you set up a proportion to solve this problem? Alice is 13 years old. Her hair is 9
inches long. How long will her hair be when she is 23 years old?
7)
8)
Explain the process you would use to determine the best buy.
8)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
The sides in the pair of figures are proportional. Find the missing length(s).
9)
20
12 8
9)
A)
x =32
B)
x =24
C)
x =18
D)
x =30
Solve.
10)
0.36
t=0.2
0.13
10)
A)
0.0554
B)
0.554
C)
3.6
D)
0.234
Solve. Give your answer as a mixed number if appropriate.
11)
x
45 =4
15
11)
A)
12
B)
1683
4
C)
11
3
D)
16
12)
Give your answers in decimal form.
12)
A)
x = 8.25, y = 5.25, z = 3.25
B)
x = 8.25, y = 5.25, z = 3.75
C)
x = 8.5, y = 5.25, z = 3.75
D)
x = 8.25, y = 5.75, z = 3.25
Determine whether the two pairs of numbers are proportional.
13)
1, 3 and 2, 6
13)
A)
No
B)
Yes
Find the rate as a ratio of distance to time. Round to the nearest hundredth where appropriate.
14)
245 m, 35 sec
14)
A)
42 m
sec
B)
7m
sec
C)
35 m
sec
D)
245 m
sec
Solve the problem.
15)
A 2.25–lb package of chicken costs $5.58. Find the unit price in dollars per pound. Round to the
nearest cent.
15)
A)
$0.16 per oz
B)
$12.56 per lb
C)
$2.48 per lb
D)
$2.79 per lb
Find the rate as a ratio of distance to time. Round to the nearest hundredth where appropriate.
16)
26.4 km, 4 days
16)
A)
4km
day
B)
6.6 day
km
C)
26.4 km
day
D)
6.6 km
day
Use a proportion to solve the problem.
17)
A triangle drawn on a map has sides of lengths 9 cm, 11 cm, and 15 cm. The shortest of the
corresponding real–life distances is 104 km. Find the longest of the real–life distances. Round your
answer to the nearest tenth of a kilometer.
17)
A)
183.3 km
B)
117.1 km
C)
173.3 km
D)
127.1 km
Find the rate as a ratio of distance to time. Round to the nearest hundredth where appropriate.
18)
57 m, 21 sec
18)
A)
2.71 m
sec
B)
3.68 m
sec
C)
1197.0 m
sec
D)
0.37 m
sec
Solve.
19)
6
1
4
=12
x
19)
A)
2
3
B)
2
9
C)
1
2
D)
3
4
Use a proportion to solve the problem.
20)
If a spring stretches 6 meters when a 7–kilogram weight is attached to it, how much will it stretch
when a 42–kilogram weight is attached to it?
20)
A)
39 m
B)
35 m
C)
38 m
D)
36 m
Determine whether the two pairs of numbers are proportional.
21)
2, 14 and 4, 28
21)
A)
Yes
B)
No
Find the indicated rate.
22)
Tim’s car will go 275.5 miles on 9.5 gallons of gasoline in city driving. What is the rate in miles per
gallon?
22)
A)
1
29 mpg
B)
28.5 mpg
C)
29.5 mpg
D)
29 mpg
Determine which purchase has the lower unit price.
23)
Brand X: 8 oz. for $2.40
Brand Y: 20 oz. for $4.80
Brand Z: 24 oz. for $6.24
23)
A)
Brand Z
B)
Not enough information
C)
Brand X
D)
Brand Y
Solve.
24)
36
y=4
1
9
24)
A)
16
B)
1
C)
81
D)
4
Use a proportion to solve the problem.
25)
On a map, the length of a nature–center trail is 5.0 centimeters. If the scale is 1 centimeters to 20
kilometers, what is the actual length of the trail?
25)
A)
101 km
B)
104 km
C)
100 km
D)
200 km
26)
On a map of the Fox River, 1 centimeter represents 3 kilometers. If a trail by the river is actually
14.70 kilometers long, what is the length of the trail on the map?
26)
A)
6.9 cm
B)
6.7 cm
C)
4.9 cm
D)
11.7 cm
Find the indicated rate.
27)
A person ran 1200 meters in 3.75 minutes. What was her rate in meters per minute?
27)
A)
330 meters/min
B)
320 meters/min
C)
4400 meters/min
D)
1200 meters/min
Determine whether the two pairs of numbers are proportional.
28)
5, 13
4 and 20, 7
28)
A)
Yes
B)
No
Simplify the ratio.
29)
9 to 21
29)
A)
3
21
B)
3
7
C)
9
7
D)
9
21
Find fractional notation for the ratio. You need not simplify.
30)
In a three–point shooting contest, a basketball player attempted 25 shots and made 8 of them. Find
the ratio of shots made to shots missed.
30)
A)
17
8
B)
8
17
C)
8
25
D)
25
8
Solve.
31)
n
11 =4.7
2
31)
A)
26.7
B)
25.85
C)
7.85
D)
17.23
32)
72
3
12 1
7
=10 1
6
n
32)
A)
322
5185
B)
6641
1530
C)
1530
9821
D)
16 33
322
Use a proportion to solve the problem.
33)
Johnny’s car will go 360 miles on 12 gallons of gasoline in highway driving. At this rate, how many
gallons would be needed to travel 1579 miles on the highway?
33)
A)
About 59 gal
B)
About 53 gal
C)
About 50 gal
D)
About 56 gal
Find the indicated rate.
34)
If Alison’s company charged $125.64 for 6 hours of work, how much did they charge per hour?
34)
A)
$6.00/hour
B)
$25.13/hour
C)
$20.94/hour
D)
$26.94/hour
Use a proportion to solve the problem.
35)
Find the length, L, of the lake. Assume that the two triangles are similar.
90 m
4 m 12 m
35)
A)
8100 m
B)
270 m
C)
30 m
D)
450 m
The sides in each pair of figures are proportional. Find the missing length.
36)
h 9 in.
8 ft 12 in.
36)
A)
6 ft
B)
16 ft
C)
3 ft
D)
12 ft
Solve.
37)
23.82
3.3 =y
5.5
37)
A)
8.88
B)
5.5
C)
0.37
D)
39.7
Use a proportion to solve the problem.
38)
A label printer prints 9 pages of labels in 1.5 seconds. How long will it take to print 72 pages of
labels?
38)
A)
14.00 sec
B)
16.00 sec
C)
12.00 sec
D)
15.00 sec
Solve. Give your answer as a mixed number if appropriate.
39)
44
154 =6
x
39)
A)
15
7
B)
21
C)
880
D)
1
21
Find fractional notation for the ratio. You need not simplify.
40)
A baseball team has played 7 games so far this season. The team won 4 games. Find the ratio of
games lost to games won.
40)
A)
3
4
B)
7
4
C)
4
7
D)
4
3
Solve the problem.
41)
An 8–oz bottle of hair spray costs $4.46. Find the unit price in cents per ounce.
41)
A)
55.75 cents/oz
B)
0.5575 cents/oz
C)
44.6 cents/oz
D)
35.68 cents/oz
Find fractional notation for the ratio. You need not simplify.
42)
43
5 to 85
6
42)
A)
4
8
B)
43
5
85
6
C)
3
5
5
6
D)
85
6
43
5
Use a proportion to solve the problem.
43)
On a map of the Thunderbird Country Club golf course, 1.5 inches represent 60 yards. How long is
the 16th hole if the map shows 9.5 inches?
43)
A)
380 yd
B)
9.5 yd
C)
570 yd
D)
855 yd
44)
So far this basketball season, Al has scored 595 points in 30 games. At this rate, how many points
would he score in 70 games?
44)
A)
About 1319 points
B)
About 1236 points
C)
About 255 points
D)
About 1388 points
Find fractional notation for the ratio. You need not simplify.
45)
0.1 to 0.3
45)
A)
0.2
0.3
B)
0.3
0.2
C)
0.1
0.3
D)
0.3
0.1
The sides in the pair of figures are proportional. Find the missing length(s).
46)
7
3 4
46)
A)
x =5.25
B)
x =6
C)
x =6.75
D)
x =8
Find the indicated rate.
47)
Mara can type 660 words in 1
2 hour (30 minutes). How many words per minute can she type?
47)
A)
11 words/minute
B)
44 words/minute
C)
22 words/minute
D)
330 words/minute
Provide an appropriate response.
48)
Suppose you want to solve the following problem. A teacher can grade 7 essays in 2 hours. At this
rate, how many essays will she be able to grade in 5 hours? Which of the following proportions will
give the correct answer?
(i) 7
2=x
5 (ii) 7
2=5
x (iii) 2
7=x
5 (iv) 2
7=5
x
48)
A)
(ii) and (iv)
B)
(iii) only
C)
(i) only
D)
(i) and (iv)
The two triangles below are similar. Find the missing length(s).
49)
6
Give your answers as mixed numbers if appropriate.
49)
A)
x =71
2; y =101
2
B)
x =9; y =12
C)
x =9; y =15
D)
x =30; y =42
Find the indicated rate.
50)
While walking, Joe’s heart beats 3952 times in 40 minutes. What is the rate in beats per minute?
50)
A)
0.01 beats/min
B)
102.8 beats/min
C)
91.9 beats/min
D)
98.8 beats/min
Find fractional notation for the ratio. You need not simplify.
51)
Of a family’s $799 weekly income, $80 usually goes toward groceries. What is the ratio of the
amount spent on groceries to weekly income?
51)
A)
80
799
B)
719
80
C)
80
719
D)
799
80
Solve.
52)
12 1
2
73
7
=p
10 1
3
52)
A)
525
3224
B)
312
5425
C)
674
525
D)
17121
312
53)
1
4=n
61
8
53)
A)
2
B)
117
32
C)
241
8
D)
32
49
Use a proportion to solve the problem.
54)
A math teacher claims that the students‘ test scores are directly proportional to the amount of time
spent studying. Amy studies 17 hours for a test and gets a score of 69. At this rate, how many hours
would she have to study to get a score of 87?
54)
A)
35 hr
B)
22.51 hr
C)
13.48 hr
D)
21.43 hr
Solve.
55)
3
2
m=
5
4
5
9
55)
A)
5
9
B)
14
5
C)
2
3
D)
11
2
The sides in the pair of figures are proportional. Find the missing length(s).
56)
4
2
2 3
2 1
56)
A)
x =2, y =3
B)
x =1, y =2
C)
x =1.5, y =2
D)
x =1, y =1.5
Determine which purchase has the lower unit price.
57)
Brand X: 25 oz for $7.75
Brand Y: 20 oz for $5.80
57)
A)
Brand X
B)
Equal value
C)
Brand Y
D)
Not enough information
Simplify the ratio.
58)
27 cents to 117 cents
58)
A)
27
117
B)
3
13
C)
13
117
D)
3
117
Solve the problem.
59)
A 4–lb package of ground beef costs $6.76. What is the unit price in cents per ounce? Round to the
nearest hundredth of a cent.
59)
A)
108.38 cents/oz
B)
2.76 cents/oz
C)
1.69 cents/oz
D)
10.56 cents/oz
Use a proportion to solve the problem.
60)
Jim drove 343 miles in 7 hours. If he can keep the same pace, how long will it take him to drive 931
miles?
60)
A)
2401 hr
B)
29 hr
C)
19 hr
D)
38 hr
Find the indicated rate.
61)
Last basketball season, Danny scored 928 points in 69 games. What was the rate in points per
game? Round to the nearest tenth if necessary.
61)
A)
14.3 points/game
B)
12.9 points/game
C)
13.4 points/game
D)
0.1 points/game
The sides in the pair of figures are proportional. Find the missing length(s).
62)
Give your answers in decimal form.
62)
A)
x = 11.6, y = 13.3, z = 5
B)
x = 8, y = 9, z = 6
C)
x = 11.5, y = 13.3, z = 5
D)
x = 11.6, y = 10.6, z = 5
Find fractional notation for the ratio. You need not simplify.
63)
14 to 137
63)
A)
123
137
B)
137
123
C)
14
137
D)
137
14
64)
292
7 to 747
8
64)
A)
2
7
7
8
B)
747
8
292
7
C)
292
7
747
8
D)
29
74
Solve. Give your answer as a mixed number if appropriate.
65)
189
36 =n
8
65)
A)
1476
B)
1
42
C)
111
21
D)
42
66)
1
2=x
7
66)
A)
7
B)
14
C)
1
14
D)
31
2
67)
60
30 =12
n
67)
A)
2
B)
6
C)
5
D)
12
Determine whether the two pairs of numbers are proportional.
68)
0.04, 0.06 and 1.5, 1.8
68)
A)
Yes
B)
No
The sides in each pair of figures are proportional. Find the missing length.
69)
h
18 in.
13 in. 104 ft
69)
A)
122 ft
B)
144 ft
C)
126 ft
D)
162 ft
Use a proportion to solve the problem.
70)
In the rectangles below, the ratio of length to width is the same. Find the length of the larger
rectangle.
6 ft 10 ft
4 ft
x
70)
A)
13 ft
B)
15 ft
C)
16 ft
D)
14 ft
Find the rate as a ratio of distance to time. Round to the nearest hundredth where appropriate.
71)
35 km, 5 hr
71)
A)
35 km
hr
B)
7hr
km
C)
35 hr
km
D)
7km
hr
Solve the problem.
72)
A 0.75–lb package of salami costs $2.88. Find the unit price in dollars per pound. Round to the
nearest cent.
72)
A)
$3.84 per lb
B)
$2.88 per lb
C)
$5.04 per lb
D)
$2.16 per lb
Find fractional notation for the ratio. You need not simplify.
73)
In this rectangle, find the ratios of length to width and of width to length.
78.2
130.4
73)
A)
130.4
78.2 ; 78.2
208.6
B)
78.2
208.6; 130.4
208.6
C)
130.4
78.2 ; 78.2
130.4
D)
78.2
130.4; 130.4
78.2
Solve.
74)
2
3
2
5
=x
4
5
74)
A)
21
2
B)
16
75
C)
11
3
D)
8
15
Solve. Give your answer as a mixed number if appropriate.
75)
42
30 =n
25
75)
A)
352
3
B)
351
2
C)
351
4
D)
35
Determine which purchase has the lower unit price.
76)
Brand A: 34 oz for $11.56
Brand B: 2 lb, 2 oz for $11.22
76)
A)
Not enough information
B)
Brand A
C)
Brand B
D)
Equal value
The sides in the pair of figures are proportional. Find the missing length(s).
77)
3
918
77)
A)
x =5
B)
x =6
C)
x =12
D)
x =3
Solve the problem.
78)
A 1.5–lb package of seedless grapes costs $2.53. Find the unit price in dollars per pound. Round to
the nearest cent.
78)
A)
$3.80 per lb
B)
$0.11 per lb
C)
$1.27 per lb
D)
$1.69 per lb
Use a proportion to solve the problem.
79)
The ratio of the height to the width of a packaging label is 5 to 19. If the height of the label is 3
inches, what is its width?
79)
A)
8 in.
B)
11.4 in.
C)
0.8 in.
D)
22 in.
Find fractional notation for the ratio. You need not simplify.
80)
353.9 to 287.3
80)
A)
287.3
353.9
B)
287.3
641.2
C)
353.9
287.3
D)
641.2
287.3
81)
In this right triangle, find the ratios of shortest length to longest length and of longest length to
shortest length.
1406 1514.3
562.4
81)
A)
1514.3
1406 ; 1406
1514.3
B)
1406
1514.3; 1514.3
1406
C)
1514.3
562.4 ; 562.4
1514.3
D)
562.4
1514.3; 1514.3
562.4
Solve the problem.
82)
A 6–pack of 4–oz containers of yogurt costs $2.59. What is the unit price in cents per ounce?
Round to the nearest hundredth of a cent.
82)
A)
64.75 cents/oz
B)
16.19 cents/oz
C)
10.79 cents/oz
D)
43.17 cents/oz
Find fractional notation for the ratio. You need not simplify.
83)
7 to 4
83)
A)
4
7
B)
7
11
C)
11
7
D)
7
4
Find the rate as a ratio of distance to time. Round to the nearest hundredth where appropriate.
84)
120 mi, 4 hr
84)
A)
120 hr
mi
B)
30 hr
mi
C)
120 mi
hr
D)
30 mi
hr
Use a proportion to solve the problem.
85)
Find the height of the building. Assume that the height of the person is 5 ft.
169 ft
13 ft 5 ft
85)
A)
91 ft
B)
439.4 ft
C)
33.8 ft
D)
65 ft
The two triangles below are similar. Find the missing length(s).
86)
10 15
6 9
12
86)
A)
x =12
B)
x =19
C)
x =25
D)
x =20
Determine which purchase has the lower unit price.
87)
Brand A: 5 oz for $1.55
Brand B: 51
2 oz for $2.09
87)
A)
Brand A
B)
Brand B
C)
Not enough information
D)
Equal value
Find fractional notation for the ratio. You need not simplify.
88)
At an advertising agency that employs 275 people, 124 employees receive 3 weeks of paid vacation
each year. Find the ratio of those who receive 3 weeks of paid vacation to those whose paid
vacation is not 3 weeks.
88)
A)
124
151
B)
151
275
C)
151
124
D)
275
151
Solve. Give your answer as a mixed number if appropriate.
89)
x
16 =23
64
89)
A)
51
3
B)
77
8
C)
53
4
D)
31
8
Simplify the ratio.
90)
42 miles to 60 miles
90)
A)
42
60
B)
7
10
C)
7
60
D)
6
Use a proportion to solve the problem.
91)
A quality–control inspector examined 270 calculators and found 6 of them to be defective. At this
rate, how many defective calculators will there be in a batch of 14,850 calculators?
91)
A)
330 calculators
B)
55 calculators
C)
9 calculators
D)
1620 calculators
Solve. Give your answer as a mixed number if appropriate.
92)
x
5=0
10
92)
A)
5
B)
1
C)
2
D)
0
Find fractional notation for the ratio. You need not simplify.
93)
At an advertising agency that employs 251 people, 145 employees receive 3 weeks of paid vacation
each year. What is the ratio of those who receive 3 weeks of paid vacation to the total number of
employees?
93)
A)
106
251
B)
145
251
C)
251
145
D)
251
106
The two triangles below are similar. Find the missing length(s).
94)
7.2
4.8
94)
A)
x =5.6; y = 3.6
B)
x =1.40; y = 3.6
C)
x =6.4; y = 3.9
D)
x =5.6; y = 3.9
Find the indicated rate.
95)
A tortoise traveled 0.42 miles in 2.5 hours. What was its speed?
95)
A)
5.952 mi/hr
B)
0.168 mi/hr
C)
1.05 mi/hr
D)
0.268 mi/hr
Use a proportion to solve the problem.
96)
The 9th hole at the Riverwoods Golf Course is 125 yards long. How long would it be on a model
with a scale of 2.5 inches to 25 yards?
96)
A)
31.25 in.
B)
12.5 in.
C)
62.5 in.
D)
6.25 in.
The sides in each pair of figures are proportional. Find the missing length.
97)
7ft 21 in.
w42 in.
97)
A)
14 ft
B)
21 ft
C)
42 ft
D)
28 ft
Solve.
98)
m
5.5 =2.43
4.95
98)
A)
1.6
B)
2.7
C)
5.5
D)
4.3
Solve the problem.
99)
A 12–oz package of coffee costs $2.55. Find the unit price in cents per ounce. Round to the nearest
thousandth of a cent.
99)
A)
21.250 cents/oz
B)
4.706 cents/oz
C)
0.213 cents/oz
D)
2.125 cents/oz
Find fractional notation for the ratio. You need not simplify.
100)
94.94 to 98.63
100)
A)
98.63
193.57
B)
193.57
98.63
C)
94.94
98.63
D)
98.63
94.94
Use a proportion to solve the problem.
101)
A building casts a shadow 27 m long. At the same time, the shadow cast by a 63–cm tall pole is 99
cm long. Find the height of the building. Round your answer to the nearest tenth of a meter.
101)
A)
15.7 m
B)
17.2 m
C)
40.9 m
D)
42.4 m
102)
Martin can paint 2200 ft2 with 5 gal of paint. How many 1–gal cans does he need in order to paint a
25,000–ft2 wall?
102)
A)
64 cans
B)
285 cans
C)
57 cans
D)
12 cans
Determine which purchase has the lower unit price.
103)
Brand A: 13.75 oz for $3.16
Brand B: 11.75 oz for $3.17
103)
A)
Brand A
B)
Not enough information
C)
Equal value
D)
Brand B
Simplify the ratio.
104)
4 to 34
104)
A)
2
17
B)
2
34
C)
4
34
D)
4
17
Find fractional notation for the ratio. You need not simplify.
105)
9.6 to 48
105)
A)
48
9.6
B)
9.6
48
C)
57.6
48
D)
48
57.6
Find the rate as a ratio of distance to time. Round to the nearest hundredth where appropriate.
106)
300 yd, 50 min
106)
A)
50 yd
min
B)
300 yd
min
C)
56 yd
min
D)
6yd
min
Determine whether the two pairs of numbers are proportional.
107)
80, 9 and 130, 18
107)
A)
No
B)
Yes
Determine which purchase has the lower unit price.
108)
Brand A: 12 cans for $4.26
Brand B: 18 cans for $5.63
Brand C: 24 cans for $6.89
Brand D: 32 cans for $9.47
108)
A)
Brand D
B)
Brand B
C)
Brand A
D)
Brand C
Use a proportion to solve the problem.
109)
In baseball, the average number of earned runs given up by a pitcher in 9 innings is the pitcher’s
earned run average, ERA. For example, if a player gave up 90 earned runs in 250 innings during
one year, his ERA is found by solving the proportion ERA
9=90
250. Find the ERA for a player who,
in one year, gave up 87 earned runs in 2361
3 innings. Round your answer to the nearest hundredth.
109)
A)
3.31
B)
9.67
C)
2.72
D)
24.45
Find fractional notation for the ratio. You need not simplify.
110)
In a three–point shooting contest, a basketball player attempted 20 shots and made 15 of them.
What is the ratio of shots made to shots attempted?
110)
A)
20
5
B)
15
20
C)
5
20
D)
20
15
Use a proportion to solve the problem.
111)
According to a recent study, of every 100 people in one American city, 48 are considered
overweight. The population of the city is about 1.86 million. How many of these people would be
considered overweight?
111)
A)
834,411 people
B)
89,280 people
C)
899,764 people
D)
892,800 people
112)
To determine the number of fish in a lake, a park ranger catches 280 fish, tags them, and returns
them to the lake. Later, 72 fish are caught, and it is found that 20 of them are tagged. Estimate the
number of fish in the lake.
112)
A)
78 fish
B)
1008 fish
C)
5 fish
D)
403,200 fish
Find fractional notation for the ratio. You need not simplify.
113)
0.2 to 34
113)
A)
34
0.2
B)
0.2
34.2
C)
34.2
0.2
D)
0.2
34
Solve.
114)
3.57
p=11.9
14.5
114)
A)
12.2
B)
0.879
C)
1.067
D)
4.35
Find the rate as a ratio of distance to time. Round to the nearest hundredth where appropriate.
115)
697.50 m, 4.65 hr
115)
A)
154.65 hr
m
B)
150 hr
m
C)
154.65 m
hr
D)
150 m
hr
Use a proportion to solve the problem.
116)
Coffee beans from 14 trees are required to produce the 17 lb of coffee that the average person in the
United States drinks each year. About how many trees are required to produce 363 lb of coffee?
Round to the nearest whole number.
116)
A)
320 trees
B)
272 trees
C)
299 trees
D)
441 trees
117)
It takes 60 oz of grass seed to seed 3000 ft2 of lawn. At this rate, about how much would be needed
for 8000 ft2 of lawn? Round to the nearest whole number.
117)
A)
155 oz
B)
400,000 oz
C)
158 oz
D)
160 oz
118)
How high is a pole that casts a 31
2–ft shadow at the same time that a 20–ft tree casts a 38–ft
shadow? Give your answer as a mixed number.
118)
A)
27
19 ft
B)
129
38 ft
C)
117
19 ft
D)
116
19 ft
The sides in the pair of figures are proportional. Find the missing length(s).
119)
Give your answers in decimal form.
119)
A)
x = 16.5, y = 6.5
B)
x = 16.25, y = 6.75
C)
x = 16.25, y = 6.25
D)
x = 15.75, y = 6.25
The two triangles below are similar. Find the missing length(s).
120)
75 725
72 24
120)
A)
x =12
B)
x =28
C)
x =7
D)
x =21
Determine which purchase has the lower unit price.
121)
You have a coupon for 75 cents off Brand A cereal and a coupon for 35 cents off Brand B. A box of
Brand A cereal costs $2.63 for 12.5 ounces. A box of Brand B cereal costs $3.33 for 17.5 ounces. If you
use a coupon, which cereal is the better buy?
121)
A)
Brand B
B)
Equal value
C)
Not enough information
D)
Brand A
Use a proportion to solve the problem.
122)
Under typical conditions, 11
2 ft of snow will melt to 2 in. of water. To how many inches of water
will 21
2 ft of snow melt?
122)
A)
33
4 in.
B)
5 in.
C)
31
3 in.
D)
31
2 in.
Find the indicated rate.
123)
A machine can fill 5334 boxes of cereal in 0.7 hour. How many boxes of cereal can it fill per hour?
123)
A)
7620 boxes/hour
B)
6668 boxes/hour
C)
5335 boxes/hour
D)
3734 boxes/hour
Use a proportion to solve the problem.
124)
The prize money in a competition will be divided between the 3rd, 2nd, and 1st place winners as
1 : 3 : 4. That is, the second place winner will receive 3 times as much as the third place winner and
the first place winner will receive 4 times as much as the third place winner. If the total amount of
prize money is $1600, how should the money be divided among the three winners?
124)
A)
3rd place: $200, 2nd place: $600, 1st place: $800
B)
3rd place: $229, 2nd place: $686, 1st place: $914
C)
3rd place: $356, 2nd place: $533, 1st place: $711
D)
3rd place: $178, 2nd place: $533, 1st place: $711
125)
A tree casts a shadow 42 m long. At the same time, the shadow cast by a 49–cm tall statue is 63 cm
long. Find the height of the tree. Round your answer to the nearest tenth of a meter.
125)
A)
54.0 m
B)
32.7 m
C)
31.2 m
D)
52.5 m
The two triangles below are similar. Find the missing length(s).
126)
912
3 4
5
126)
A)
x =20
B)
x =16
C)
x =5
D)
x =15
Use a proportion to solve the problem.
127)
When a pole 61
4 ft high casts a shadow 1 ft long, how long a shadow is cast by a tree 50 ft tall?
127)
A)
81
4 ft
B)
8 ft
C)
9 ft
D)
91
4 ft
Solve. Give your answer as a mixed number if appropriate.
128)
2
3=16
n
128)
A)
48
B)
24
C)
2
48
D)
102
3
Use a proportion to solve the problem.
129)
The ratio of the lengths of strings that play the notes F and G is 9 to 8. If a string 88 centimeters long
plays a G, what is the length of the string that plays an F?
129)
A)
97 cm
B)
99 cm
C)
78.2 cm
D)
96 cm
130)
On Anne’s bicycle, the ratio of pedal turns to rear–wheel turns in second gear is 4 to 7. If her rear
wheel turns 763 times per mile, how many times does she turn the pedal in one mile?
130)
A)
767 times
B)
1335.3 times
C)
436 times
D)
770 times
Determine whether the two pairs of numbers are proportional.
131)
12.56, 3.14 and 3.14, 0.785
131)
A)
No
B)
Yes
132)
The trim for a costume costs $55.25 for 6.5 yd. Find the unit price in dollars per yard.
132)
A)
$48.75 per yd
B)
$8.50 per yd
C)
$65,997,435,908,365.93 per yd
D)
$61.75 per yd
Use a proportion to solve the problem.
133)
On April 26, 2005, 1 U.S. dollar was worth about 0.52521 British pounds. How much would a car
have cost in U.S. dollars that cost 10,140 British pounds?
133)
A)
$5325.63
B)
$19,306.56
C)
$18,847.58
D)
$5536.44
Find fractional notation for the ratio. You need not simplify.
134)
A baseball team has played 9 games so far this season. The team won 1 games. What is the ratio of
games won to games played so far?
134)
A)
1
9
B)
1
10
C)
9
1
D)
10
1
135)
6.8 to 2.6
135)
A)
2.6
9.4
B)
6.8
2.6
C)
2.6
6.8
D)
9.4
2.6
Determine whether the two pairs of numbers are proportional.
136)
54
5, 7 and 31
2, 7
136)
A)
Yes
B)
No
Use a proportion to solve the problem.
137)
The ratio of the distances a 7–iron and a 5–iron will drive a golf ball is 5 to 6. If a golfer averages
147 yards with a 7–iron, how far should he average with a 5–iron?
137)
A)
158 yd
B)
176.4 yd
C)
123 yd
D)
136 yd
Determine which purchase has the lower unit price.
138)
There are 3 available long distance calling cards.
ABC Phone charges $.01 per minute and a $0.46 connection charge.
Bozo’s Telecom charges $.025 per minute and a $0.13 connection charge.
BT&T charges $.06 per minute and no connection charge.
Which company has the best buy for a 15 minute phone call?
138)
A)
Bozo’s Telecom
B)
ABC Phone
C)
Not enough information
D)
BT&T
Simplify the ratio.
139)
$40 to $136
139)
A)
136
40
B)
40
17
C)
8
8
D)
5
17
140)
10 to 13
140)
A)
20
26
B)
13
10
C)
10
13
D)
1
13
Use a proportion to solve the problem.
141)
The nutritional chart on the side of a box of breakfast cereal states that there are 160 calories in a 1
1
3– cup serving. How many calories are there in 7 cups of the cereal?
141)
A)
1120 calories
B)
798 calories
C)
840 calories
D)
30 calories
142)
On April 26, 2005, 1 U.S. dollar was worth about 11.059 Mexican pesos. How much would 380 U.S.
dollars be worth in Mexican pesos?
142)
A)
$4297.80
B)
$33.78
C)
$34.36
D)
$4202.42
Find fractional notation for the ratio. You need not simplify.
143)
In this rectangle, find the ratios of length to width and of width to length.
282
169
143)
A)
113
169; 169
282
B)
282
169; 169
282
C)
169
282; 113
169
D)
169
282; 282
169
The sides in each pair of figures are proportional. Find the missing length.
144)
24 cm h
52 cm
26 ft
144)
A)
12 ft
B)
36 ft
C)
6 ft
D)
26 ft
Determine which purchase has the lower unit price.
145)
Brand A: 30 oz for $16.50
Brand B: 35 oz for $19.95
145)
A)
Brand B
B)
Not enough information
C)
Brand A
D)
Equal value
Solve.
146)
5
11 =7.2
y
146)
A)
1.58
B)
3.6
C)
1.69
D)
15.84
The sides in the pair of figures are proportional. Find the missing length(s).
147)
Give your answers as mixed numbers if appropriate.
147)
A)
x =153
4, y =61
4
B)
x =161
2, y =61
2
C)
x =161
4, y =61
4
D)
x =161
4, y =63
4
Solve.
148)
1.4
4=x
7
148)
A)
2.1
B)
0.25
C)
0.05
D)
2.45
Simplify the ratio.
149)
0.21 to 0.18
149)
A)
7
18
B)
21
18
C)
0.07
6
D)
7
6
Use a proportion to solve the problem.
150)
The scale on a map is 1
4 inch to 4 miles. Find the actual distance between two towns for which the
distance is represented by 21 inches on the map.
150)
A)
336 mi
B)
324 mi
C)
328.5 mi
D)
339.85 mi
The sides in the pair of figures are proportional. Find the missing length(s).
151)
Give your answers as mixed numbers if appropriate.
151)
A)
x = 112
3, y = 102
3, z = 5
B)
x = 112
3, y = 131
3, z = 5
C)
x = 111
2, y = 132
3, z = 5
D)
x = 8, y = 9, z = 6
Determine which purchase has the lower unit price.
152)
The same kind of water is sold in two types of bottle. Which type has the lower unit price?
Five 18–oz bottles for $4.77
Seven 15–oz bottles for $5.78
152)
A)
Five 18–oz bottles
B)
Not enough information
C)
Seven 15–oz bottles
D)
Equal value
Determine whether the two pairs of numbers are proportional.
153)
17.5, 31
2 and 26.25, 51
4
153)
A)
No
B)
Yes
Solve.
154)
20.9
25.8 =125.4
x
154)
A)
609.502
B)
5.671
C)
154.8
D)
26.9
Find the indicated rate.
155)
The city where Lu Na lives has a population of 2,133,044 people and an area of 134.6 square miles.
What is the rate of number of people per square mile (the population density)?
155)
A)
16,640 people/sq mi
B)
0.0000631 people/sq mi
C)
15,847 people/sq mi
D)
287,107,722 people/sq mi
Find the rate as a ratio of distance to time. Round to the nearest hundredth where appropriate.
156)
26.4 ft, 2.4 sec
156)
A)
13.4 ft
sec
B)
11 ft
sec
C)
8.6 ft
sec
D)
1.1 ft
sec
D)
Solve.
157)
y
51
2
=72
7
41
5
157)
A)
329
170
B)
98
935
C)
170
539
D)
953
98
D)
D)
The sides in the pair of figures are proportional. Find the missing length(s).
158)
Give your answers as mixed numbers if appropriate.
158)
A)
x = 81
4, y = 51
4, z = 31
4
B)
x = 81
4, y = 51
4, z = 33
4
C)
x = 81
4, y = 53
4, z = 31
4
D)
x = 81
2, y = 51
4, z = 33
4
Use a proportion to solve the problem.
159)
Joan can mow a 9–acre field in 3 hours. How long would it take her to mow a 8.1–acre field?
159)
A)
5.7 hr
B)
0.9 hr
C)
2.7 hr
D)
4.7 hr
160)
If 3 sandwich rolls cost $0.45, how much will 17 rolls cost?
160)
A)
$3.55
B)
$3.35
C)
$2.55
D)
$1.35
Solve.
161)
1
6
1
2
=
1
2
t
161)
A)
2
3
B)
11
2
C)
1
3
D)
6
Determine whether the two pairs of numbers are proportional.
162)
3.3, 4.7 and 3.5, 4.9
162)
A)
No
B)
Yes
Answer Key
Testname: C5
Answer Key
Testname: C5
Answer Key
Testname: C5
Answer Key
Testname: C5