Review
Ratio and Proportions
Determine if the statement is a proportion.
1) I.
5 ? 35
9
63
2) I.
313 feet ? 1253 feet
4 rolls
16 rolls
3) I.
160.6 gallons ? 803 gallons
13 acres
65 acres
4) I.
4.4 millimeters ? 22 millimeters
10 minutes
50 minutes
II.
II.
10 ? 2
25
5
II.
1)
168 points ? 24 points
49 games
7 games
II.
3)
4)
4800 signals ? 800 signals
124.2 hours
20.7 hours
5) I.
3.1 ? 15.5
8
40
6) I.
?
5 dogs
25 dogs
27 households
134 households
II.
32 hours ? 4 hours
368 pages
46 pages
2)
II.
24 ? 3
46.4
5.8
5)
6)
?
20 weeks
5 weeks
115.4 sq. miles
28.6 sq. miles
Write the ratio in lowest terms.
1
7) 7 feet to 8 feet
3
7)
Write as a proportion.
8) If 2 pounds of coffee costs $12, then 8 pounds will cost $48.
1
8)
Solve each proportion for the given variable.
3 0.9
9) =
x 7.2
9)
Solve using a proportion. Round your answer to the nearest hundredth when necessary.
10) Dominga and Mohammed wanted to compare the gas mileage they were
10)
getting. One particular week, Dominga drove 194.7 miles on 7.2 gallons of
gas. That same week, Mohammed drove 168.9 miles and used 5.4 gallons
of gas. Whose car got more miles per gallon of gas?
Solve the equation to find the value of n.
11) 100 = 2 × n
11)
Solve using a proportion. Round your answer to the nearest hundredth when necessary.
12) At a college in eastern Missouri, 8 out of every 10 students worked either
12)
a full-time or part-time job in addition to their studies. If 6000 students
were enrolled at the college, how many did not have a full-time or
part-time job?
Answer the question.
13) A train traveled 1095 miles in 15.5 hours. An truck traveled 365 miles in 5
hours. Did they travel at the same speed?
Write the ratio in lowest terms.
1
1
14) 7 tons to 7 tons
8
2
13)
14)
Solve each proportion for the given variable.
2.2 1.5
Round to the nearest tenth.
=
15)
n
7.5
15)
Write the rate as a unit rate.
16) 8 cents for 4 marbles
16)
Solve each proportion for the given variable.
2 9
17) =
3 n
17)
Write as a proportion.
18) If 30 acres of wheat yields 2550 bushels, then it is reasonable to expect that
40 acres will yield 3400 bushels.
Write as a ratio in simplest form.
19) 18 : 19
18)
19)
2
Solve. Round to the nearest tenth when necessary.
1800 revolutions n revolutions
=
20)
30 minutes
27 minutes
20)
Write as a proportion.
21) 25 is to 15 as 5 is to 3.
21)
Find the value of n. Round to the nearest hundredth if necessary.
85.05 grams
n grams
=
22)
3 ounces
5 ounces
22)
Write as a proportion.
23) If 2.1 pounds of halibut costs $14.49, then 5.8 pounds should cost $40.02.
23)
Solve the equation to find the value of n.
24) 28.2 = n × 6
24)
Solve using a proportion. Round your answer to the nearest hundredth when necessary.
25) On an architect's blueprint, 1 inch corresponds to 12 feet. Find the length of 25)
1
a wall represented by a line 8 inches long on the blueprint. Round to the
4
nearest tenth if necessary.
Find the value of n. Round to the nearest hundredth if necessary.
40 quarts
5 quarts
=
26)
n ounces 12 ounces
3
26)
Answer Key
Testname: RATIO & PROPORTION
1)
2)
3)
4)
5)
6)
I and II are both proportions.
I is not a proportion, II is a proportion.
I and II are both proportions.
I and II are both proportions.
I and II are both proportions.
Neither I nor II are proportions.
21
7)
25
8)
2 pounds
8 pounds
=
$12
$48
9) 24
10) Mohammed
11) 50
12) 1200 students
13) No
19
14)
20
15) 11.0
16) 2 cents/marble
1
17) 13
2
18)
30 acres
40 acres
=
2550 bushels
3400 bushels
19)
18
19
20) 1620
25
5
=
21)
15
3
22) 141.75
2.1 pounds
5.8 pounds
=
23)
$14.49
$40.02
24) 4.7
25) 99 feet
26) 96
4