Exam
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Use the bar graph to solve the problem.
1)
The bar graph below shows the numbers of various colors of cars owned by the employees of a
certain business. Which two pairs of cars are in the ratio 2
3?
1)
A)
Tan to Green and White to Red
B)
Tan to Black and Black to Red
C)
Yellow to Green and Tan to White
D)
Tan to Green and Black to White
2)
The bar graph below shows the numbers of various colors of cars owned by the employees of a
certain business. Write five ratios (expressed as fractions in lowest terms) that compare the least
popular color to each of the other colors.
2)
A)
2
1, 2
3, 1
2, 1
3, 1
4
B)
1
2, 2
3, 1
4, 1
6, 1
8
C)
1
2, 1
3, 1
4, 1
6, 1
8
D)
1
2, 2
3, 3
4, 4
6, 5
8
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
3)
Ben drove his car 726 kilometers in 8 hours while he was on vacation in Italy. He was
trying to estimate how far he could drive in 6 hours the next day so he set up the following
proportion: 726
8
=6
x. Explain why this proportion will not give him the correct answer.
3)
4)
Explain the process you would use to determine the best buy.
4)
5)
Is the best buy (lowest cost per unit) always the best value? If it is not, give an example and
explain why.
5)
6)
The following proportion is not true. Change any one of the numbers in the proportion to
make it true.
5
7
=20
26
6)
7)
Can you set up a proportion to solve this problem? Alice is 9 years old. Her hair is 9 inches
long. How long will her hair be when she is 19 years old?
7)
8)
Is this proportion true or false: 27
9
=17
11 ? Which method did you use to determine the
answer?
8)
9)
Since numbers in a proportion do not have to be whole numbers, give an example where
all of the numbers in the proportion are fractions.
9)
10)
Stephen said that the ratio of his mortgage to the sales price of his house is 7 to 6. Is this
reasonable? Explain your answer.
10)
11)
The following proportion is not true. Change any one of the numbers in the proportion to
make it true.
12
5
=44
20
11)
3
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Use a proportion to solve the problem.
12)
On a map of the Thunderbird Country Club golf course, 0.5 inches represent 30 yards. How long is
the 9th hole if the map shows 4 inches?
12)
A)
240 yards
B)
3.8 yards
C)
120 yards
D)
60 yards
Write the ratio as a fraction in lowest terms.
13)
2 to 7
13)
A)
2
5
B)
7
2
C)
2
7
D)
1
7
C
Use a proportion to solve the problem.
14)
The 18th hole at the Riverwoods Golf Course is 250 yards long. How long would it be on a model
with a scale of 2.5 inches to 50 yards?
14)
A)
62.5 inches
B)
6.25 inches
C)
125 inches
D)
12.5 inches
D
Find the unknown number in the proportion. Round answer to the nearest hundredth when necessary.
15)
7
x
=26
45
15)
A)
x =4.04
B)
x =167.14
C)
x =0.08
D)
x =12.12
D
Write the ratio as a fraction in lowest terms.
16)
$8 to $36
16)
A)
4
4
B)
36
8
C)
8
9
D)
2
9
D
A
Write the following proportions.
17)
$35 is to 45 bottles as $56 is to 72 bottles
17)
A)
$35
56 bottles
=$45
72 bottles
B)
$35
45 bottles
=$56
72 bottles
C)
$45
35 bottles
=$56
72 bottles
D)
$35
72 bottles
=$56
45 bottles
Find the unit rate.
18)
135 miles in 5 hours
18)
A)
140 miles/hour
B)
27 miles
C)
27 miles/hour
D)
675 miles
Write the ratio as a fraction in lowest terms.
19)
4 miles to 30 miles
19)
A)
4
30
B)
2
30
C)
2
15
D)
2
1
Use a proportion to solve the problem.
20)
If a computer prints 108 lines in 3 seconds, how many lines can it print per minute?
20)
A)
2170 lines
B)
2160 lines
C)
2165 lines
D)
1080 lines
Solve the problem. Write ratios in lowest terms.
21)
Jim’s house is built on a 22
3
–acre plot of land. Jane’s house sits on a 9–acre piece of land. Find the
ratio of the size of Jim’s land to the size of Jane’s land.
21)
A)
8
3
B)
8
27
C)
8
9
D)
2
9
Write the ratio as a fraction in lowest terms.
22)
68 to 72
22)
A)
68
18
B)
17
18
C)
17
72
D)
68
72
Write the following as a rate in lowest terms.
23)
522 miles in 24 hours
23)
A)
87 miles
24 hours
B)
87 miles
4 hours
C)
6 miles
24 hours
D)
522 miles
4 hours
Use the information in the table to solve the problem. Write your answer as a fraction in lowest terms.
24)
The table below shows the amounts of pollutants (in parts per million) in a sample of rainwater.
Pollutant Amount
(ppm)
A34
B30
C28
D21
E20
Find the ratio of pollutant A to pollutant B.
24)
A)
15
17
B)
34
30
C)
30
34
D)
17
15
Find the unknown number in the proportion. Write your answer as a whole number or a mixed number if possible.
25)
10 1
4
52
7
=x
81
6
25)
A)
x =123
518
B)
x =15 743
888
C)
x =426
123
D)
x =888
14063
Write the ratio as a fraction in lowest terms. Be sure to make all necessary conversions.
26)
80 cents to $6
26)
A)
40
3
B)
6
800
C)
2
15
D)
2
3
Find the unknown number in the proportion. Write your answer as a whole number or a mixed number if possible.
27)
6
5
x
=
4
3
4
9
27)
A)
x =4
9
B)
x =2
5
C)
x =21
2
D)
x =21
4
Use a proportion to solve the problem.
28)
A poll of 2000 people indicated that 3 out of 5 people were planning on voting in the next election.
Of the people who intend to vote 11 out of 20 will vote for the Republican candidate. How many
people in the poll will vote for the Republican candidate?
28)
A)
660 people
B)
540 people
C)
1100 people
D)
1200 people
For the given figure, find the ratio of the length of the longest side to the length of the shortest side. Write the ratio as a
fraction in lowest terms.
29)
A =0.03 yard
B =0.02 yard
C =0.03 yard
D =0.02 yard
29)
A)
2
3
B)
3
C)
4
3
D)
3
2
Determine whether the proportion is true or false by writing the ratios in lowest terms.
30)
6
100
=3
50
30)
A)
True
B)
False
Find the cross–product and determine whether the proportion is true or false.
31)
6
11
=12
22
31)
A)
72 242; false
B)
264 =264; true
C)
132 =132; true
D)
66 264; false
C
Determine whether the proportion is true or false by writing the ratios in lowest terms.
32)
24
18
=4
3
32)
A)
True
B)
False
A
Find the unknown number in the proportion. Write your answer as a whole number or a mixed number if possible.
33)
9
1
7
=21
x
33)
A)
x =3
7
B)
x =1
3
C)
x =7
9
D)
x =7
30
B
Find the unknown number in the proportion. Round answer to the nearest hundredth when necessary.
34)
x
17
=6.3
2
34)
A)
x =53.55
B)
x =40.3
C)
x =35.7
D)
x =11.65
A
A
35)
5
x
=25
20
35)
A)
x =4
B)
x =0.16
C)
x =40
D)
x =6.3
Write the ratio as a fraction in lowest terms. Be sure to make all necessary conversions.
36)
7 pints to 6 cups
36)
A)
7
12
B)
7
3
C)
12
7
D)
7
6
B
Determine whether the proportion is true or false by writing the ratios in lowest terms.
37)
25
30
=3
5
37)
A)
True
B)
False
B
Find the unknown number in the proportion. Write your answer as a whole number or a mixed number if possible.
38)
1
51
4
=x
42
38)
A)
x =8
B)
x =42
5
C)
x =81
4
D)
x =9
A
Write the following as a rate in lowest terms.
39)
264 miles on 42 gallons
39)
A)
6 miles
7 gallons
B)
44 miles
42 gallons
C)
264 miles
7 gallons
D)
44 miles
7 gallons
D
10
A
Write the following proportions.
40)
44 is to 11 as 48 is to 12
40)
A)
44
12
=48
11
B)
44
11
=12
48
C)
44
11
=48
12
D)
44
48
=11
12
Find the best buy (based on cost per unit).
41)
Brand X: 8 oz. for $1.76
Brand Y: 20 oz. for $3.20
Brand Z: 24 oz. for $4.32
41)
A)
Brand Y
B)
Brand Z
C)
Brand X
D)
Not enough information
For the given figure, find the ratio of the length of the longest side to the length of the shortest side. Write the ratio as a
fraction in lowest terms.
42)
A =0.3 yard
B =2.1 yards
C =0.3 yard
D =2.1 yards
42)
A)
1
7
B)
14
1
C)
7
1
D)
2
7
43)
A =51
2 kilometers
B =45
8 kilometers
C =13 2
3 kilometers
43)
A)
27
82
B)
13
4
C)
82
27
D)
328
111
Determine whether the proportion is true or false by writing the ratios in lowest terms.
44)
35
21
=3
4
44)
A)
True
B)
False
B
Write the following as a rate in lowest terms.
45)
190 yards in 38 seconds
45)
A)
5 yards
1 second
B)
5 seconds
1 yard
C)
190 yards
38 seconds
D)
25 yards
5 seconds
A
Find the best buy (based on cost per unit).
46)
Brand X: 6 oz for $1.32
Brand Y: 8 oz for $1.84
46)
A)
Brand Y
B)
Not enough information
C)
Equal value
D)
Brand X
D
D
Determine whether the proportion is true or false by writing the ratios in lowest terms.
47)
24
15
=36
22.5
47)
A)
True
B)
False
Find the unit rate.
48)
1044 people in 40 buses
48)
A)
26.1 people/bus
B)
261 people/bus
C)
1004 people/bus
D)
0.038 person/bus
A
Fill in the table to solve the problem.
49)
Beginning
Rain Gauge
Reading
(inches)
Ending
Rain Gauge
Reading
(inches)
Amount
of Rain
Length of Rain
Collection Period
(Days)
Rain Per Day
(round to the
nearest tenth)
0.6 6.1 7
49)
A)
amount of rain: 6.7 in.; rain per day: 0.4 in.
B)
amount of rain: 5.5 in.; rain per day: 38.5 in.
C)
amount of rain: 6.7 in.; rain per day: 0.8 in.
D)
amount of rain: 5.5 in.; rain per day: 0.8 in.
D
A
Solve the problem.
50)
A box of instant brownies has the list of ingredients shown in the table. Use this information to find
the amount of the stated ingredient you would need to make the indicated number of servings.
Ingredient For 12 Servings
Water 3 tablespoons
Oil 1
4 cup
Nuts 1
2 cup
Brownie Mix 21
2 cups
Amount of oil for 10 servings
50)
A)
5
12 cup
B)
5
24 cup
C)
5
6 tablespoon(s)
D)
3
10 cup
Use a proportion to solve the problem.
51)
If a spring stretches 8 meters when a 7–kilogram weight is attached to it, how much will it stretch
when a 21–kilogram weight is attached to it?
51)
A)
23 meters
B)
27 meters
C)
26 meters
D)
24 meters
Use the circle graph of one family’s allowance for appliances in their new house to complete the exercise. Write ratios as
fractions in lowest terms.
52)
A = $436 D = $615
B = $1287 E = $365
C = $474 F = $385
Find the ratio of clothes washer to total allowance.
52)
A)
218
455
B)
237
455
C)
218
1781
D)
237
1781
Solve the problem.
53)
If a construction crew building a skyscraper can build 21 floors in 49 days, what is the pace per
day?
53)
A)
1.2 floor(s)/day
B)
0.9 floor(s)/day
C)
2.3 floors/day
D)
0.4 floor/day
Write the ratio as a fraction in lowest terms.
54)
41
2 to 4
54)
A)
4
4
B)
4
2
C)
9
8
D)
9
2
Solve the problem.
55)
If Alison’s company charged $380.00 for 10 hours of work, how much did they charge per hour?
55)
A)
$42.22/hour
B)
$38.00/hour
C)
$48.00/hour
D)
$10.00/hour
For the given figure, find the ratio of the length of the longest side to the length of the shortest side. Write the ratio as a
fraction in lowest terms.
56)
A =11 3
8 meters D =33
4 meters
B =81
4 meters E =25
8 meters
C =47
8 meters
56)
A)
3
13
B)
91
66
C)
10
7
D)
13
3
Solve the problem.
57)
A machine can fill 6328 cartons of milk in 0.8 hour. How many cartons of milk can it fill per hour?
57)
A)
5062 cartons/hour
B)
7031 cartons/hour
C)
7910 cartons/hour
D)
6329 cartons/hour
Write the following as a rate in lowest terms.
58)
328 pounds per 40 packages
58)
A)
41 pounds
6 packages
B)
328 pounds
5 packages
C)
41 pounds
5 packages
D)
328 pounds
41 packages
Solve the problem. Write ratios in lowest terms.
59)
Tuition at a certain college recently increased from $4000 to $7000. Find the ratio of the increase in
price to the original price.
59)
A)
3
4
B)
3
7
C)
4
11
D)
4
7
Use a proportion to solve the problem.
60)
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 777 times per mile, how many times does she turn the pedal in one mile?
60)
A)
784 times
B)
781 times
C)
444 times
D)
1359.8 times
Find the unknown number in the proportion. Write your answer as a whole number or a mixed number if possible.
61)
30
x
=5
1
6
61)
A)
x =5
B)
x =25
C)
x = 1
D)
x =36
Solve the problem. Write ratios in lowest terms.
62)
Bob is 16 years old, and Susan is 12 years old. Find the ratio of his age to hers.
62)
A)
16
12
B)
1
4
C)
3
4
D)
4
3
Find the unit rate.
63)
90 miles on 6 gallons of gas
63)
A)
540 miles
B)
0.067 miles/gallon
C)
96 gallons
D)
15 miles/gallon
Write the following proportions.
64)
42 children is to 72 bicycles as 7 children is to 12 bicycles
64)
A)
7 children
72 bicycles
=12 children
42 bicycles
B)
42 children
72 bicycles
=7 children
12 bicycles
C)
42 children
7 bicycles
=72 children
12 bicycles
D)
42 children
72 bicycles
=72 children
7 bicycles
Write the ratio as a fraction in lowest terms. Be sure to make all necessary conversions.
65)
91
4 days to 2 weeks
65)
A)
9
14
B)
37
56
C)
37
2
D)
37
4
Find the unit rate.
66)
8 cents for 2 marbles
66)
A)
4 cents/marble
B)
16 cents/marble
C)
10 marbles
D)
0.25 cents/marble
Solve the problem.
67)
If a costume designer takes 180 hours to make 80 costumes, at what rate per hour are costumes
being made?
67)
A)
0.9 costume(s)/hour
B)
0.4 costume/hour
C)
2.2 costume(s)/hour
D)
2.3 costumes/hour
Use the circle graph of one family’s allowance for appliances in their new house to complete the exercise. Write ratios as
fractions in lowest terms.
68)
A = $417 D = $509
B = $1061 E = $358
C = $254 F = $136
Find the ratio of refrigerator to stove.
68)
A)
1061
358
B)
1061
254
C)
1061
509
D)
1061
417
Find the unknown number in the proportion. Write your answer as a whole number or a mixed number if possible.
69)
3
4
2
9
=x
2
3
69)
A)
x =1
2
B)
x =21
4
C)
x =41
2
D)
x =1
9
Determine whether the proportion is true or false by writing the ratios in lowest terms.
70)
12.56
3.14
=3.14
0.785
70)
A)
True
B)
False
A
Find the unknown number in the proportion. Round answer to the nearest hundredth when necessary.
71)
24.57
4.06
=x
5.8
71)
A)
x =0.4
B)
x =7.48
C)
x =5.8
D)
x =35.1
D
For the given figure, find the ratio of the length of the longest side to the length of the shortest side. Write the ratio as a
fraction in lowest terms.
72)
A =17 inches
B =8 inches
C =16 inches
72)
A)
17
8
B)
8
17
C)
17
16
D)
2
1
A
B