MTH 020 – Practice for Test 4: Ratios, Proportions and Percents
1. Write the ratio as a simplified fraction:
a. 15cm to 18.3cm
b. 25 cows to 5 horses
2. A recipe calls for 2 ¼ cups of flour and ¾ cups of sugar. Write the ratio of the number of
cups of flour to the number of cups of sugar. Write your answer as a simplified fraction.
3. In a choir consisting of sopranos, altos, tenors, and basses, there are 49 singers. Of this
number, 15 are sopranos and 16 are tenors.
a. What is the ratio of the number of sopranos to the number of tenors?
b. What is the ratio of the number of sopranos to the number of singers?
4. In a fruit and nut mix, the ratio of the number of fruits to the number of nuts is 5 to 9. Select
all the choices below that will keep the mix at this same ratio.
a. Add 5 fruits and 9 nuts to the mix.
b. Add 5 fruits and 5 nuts to the mix.
c. Add 9 fruits and 5 nuts to the mix.
d. Add 10 fruits and 18 nuts to the mix.
5. Write a ratio to compare 47 cents to 3 dollars.
6. Nancy drove 360 miles in 8 hours. Find the rate that she drove in miles per hour.
7. Choose the ratio below that forms a proportion with the ratio
a.
13
17
b.
21
27
c.
8. Solve this proportion for x:
9
7
20
x
d.
14
.
18
8
10
5
11
4
of the way along the trail.
5
5.6 4
Use this proportion to find x, the length of the trail in miles:
x
5
9. After hiking 5.6 miles, Sharon found that she was
10.
The two triangles shown below are similar triangles. That is, the lengths of their
corresponding sides are in the same ratio. Find x and y.
medium
side: 56
longest
side: 70
longest
side: x
medium
side: 84
shortest
side: y
shortest
side: 63
11.
Write each percent as a decimal number
a. 26%
b. 192%
12.
Write a percent for both the shaded and unshaded parts of the figure below.
13.
The number line below is divided into four parts of equal length.
Use the number line to answer this question: 27 is what percent of 36?
18
36
0%
50%
100%
14.
0
15.
Use the following number line to find 37.5% of 560.
0
140
280
420
560
0%
25%
50%
75%
100%
Write 243.7% as a decimal number.
16.
Write the decimal number 5.132
a. as a percent
b. as a mixed number in lowest terms
17.
Circle the expression(s) below that are equal to 72%.
7.2
0.72
72
100
72
1000
18
25
18.
Last year, the original price of a popular sweater was $40. This year, the price is $54. Find
the percent increase in price.
19.
On an algebra test, Mario answered 30% of the questions correctly. The test contained a
total of 80 questions. How many questions did Mario answer correctly?
20.
A new company has hired 13 employees. This is 20% of the number of employees it
expects to have at the end of next year. How many employees does it expect to have next
year?
21.
When Cindy and Tony arrived at the airport, they found that their luggage weighed 45
pounds. This is 25% more than the accepted weight limit. What is the weight limit for
luggage?
22.
Shelly spends $350 per month on rent. If her take-home pay is $1129 per month, what
percentage of her take-home pay does she spend on rent?
23.
Write the proportion: 14 units is to 21 units as 2 units is to 3 units.
24.
Betty is taking a trip and has traveled 240 miles in 4 hours. At this rate, how long will it
take her to complete the remaining 300 miles of the trip?
25.
A recipe calls for 3 onions and 5 peppers. How many onions are needed if 15 peppers are
used?
26.
Suppose it costs $5 for 10 pounds of apples. At this rate, how much does it cost for 7
pounds of apples?
27.
The number 24 is what percent of 96?
28.
What number is 25% of 60?
29.
30% of what number is 12?
30.
What percent of $25 is $17?
31.
80% of 50 students is how many students?
32.
Write 16.57% as a decimal.
33.
Write 0.015 as a percent.
34.
Write 75% as a lowest-terms fraction.
35.
Write
36.
A college class started out with 48 students. After the first drop date, there were 36
students. What was the percent of decrease in the class size?
37.
Bed, Bath and Beyond has a 20% off coupon. If I buy a towel normally priced $60, how
much would I pay after using the coupon?
38.
Write a simplified ratio comparing the longest side to the shortest side:
4
as a percent.
5
7.2
2.8
6.6
39.
Write 5% as a simplified fraction.
REVIEW PROBLEMS
40.
Write
as a decimal.
41.
Simplify
42.
Divide 0.952 by 0.04
43.
Multiply (0.005)(0.0024)
44.
Write 0.06 as a reduced fraction
45.
Solve:
46.
Use the order of operations to simplify
47.
Simplify
Answers:
1.
50
61
a.
5
1
b.
2.
3
1
3.
a.
15
16
15
49
b.
4.
5.
16.
a.
b.
513.2%
33
5
250
17.
72
100
0.72
6.
45 mph
7.
b
8.
44
9.
7 miles
10.
x = 105
y = 42
0.26
1.92
80%
36.
25%
37.
$48
38.
18
7
39.
1
20
40.
0.05
41.
15.65
42.
23.8
43.
0.0000120
18.
35%
19.
24
20.
65
21.
36 lbs
22.
31%
23.
14
21
24.
5 hours
25.
9 onions
26.
$3.50
45.
27.
25%
46.
2
27
28.
15
29.
40
47.
8
15
30.
68%
a, d
47
300
18
25
35.
2
3
11.
a.
b.
31.
40 students
12.
20% shaded
80% unshaded
32.
0.1657
13.
75%
33.
1.5%
14.
210
34.
15.
2.437
3
4
44.
3
50
m 0.9