Download Test 3 Skills Practice

MTH 231 Practice Test SKILL Problems (Sections 6.1-6.5,7.1-7.3)
NOTE: Modeling problems are NOT represented in this set of exercises. Refer to class notes for examples.
Use the figures to answer the question.
Write the fraction that represents the shaded area.
1)
A)
1
7
B)
7
4
C)
3
4
D)
7
8
A)
3
4
B)
3
1
C)
1
3
D)
1
4
2)
5) What fraction of figure 4 is shaded?
1
2
4
B)
C)
A)
3
5
5
D)
2
10
D)
1
2
3)
6) What fraction of figure 9 is shaded?
1
2
1
A)
B)
C)
4
3
3
A)
5
3
B)
1
5
C)
5
1
D)
5
6
7) Name the figure which is a fraction strip
1
depicting .
4
A) Figure 1
B) Figure 2
C) Figure 3
D) None of the above
4)
7
A)
1
7
B)
4
7
C)
8
8) Name the figure which is a fraction strip
1
depicting .
3
1
D)
7
A) Figure 7
B) Figure 11
C) Figure 10
D) None of the above
Find the requested fraction.
11
?
9)
= 6
12
1
A)
11
12
B)
132
72
C)
22
12
D)
66
12
10)
7
14
= 10
?
18)
A)
98
140
B)
14
20
C)
14
70
D)
14
10
11) An equivalent fraction to the fraction A) 0.964
C) 0.884
24
72
B)
32
99
C)
4
would
11
28
77
D)
A) 0.888888 . . .
C) 0.177777 . . .
35
84
20)
?
12)
= 8
16
C)
- 144
128
-9
16
B)
D)
- 72
21)
16
- 18
-4
C)
90
- 32
72
B)
D)
9
- 40
80
15)
A)
70
D)
1
80
1
55
B)
11
10
C)
11
2
D) 11
B) 0.02
D) 0.2
A)
7
1000
B)
7
500
C)
1
7
D)
7
250
25) 0.0005
B) 0.515
D) 0.615
11
20
A) 0.45
C) 0.55
17)
B) 0.066666 . . .
D) 0.181818 . . .
24) 0.014
5
8
A) 0.625
C) 0.715
16)
2
11
23) 5.50
- 28
Write the fraction as a terminating decimal.
1
14)
5
A) 2
C) 0.1
B) 0.059090 . . .
D) 0.039393 . . .
Write the decimal as a fraction in lowest terms.
22) 0.8
4
8
4
A)
B)
C)
25
5
5
would
be:
- 36
13
66
A) 0.363636 . . .
C) 0.022222 . . .
16
13) An equivalent fraction to the fraction A)
B) 0.727272 . . .
D) 0.266666 . . .
A) 0.196969 . . .
C) 0.019696 . . .
-9
A)
B) 0.814
D) 0.864
Write the decimal representing the given rational number.
8
19)
9
be:
A)
108
125
1
1000
B)
1
4000
C)
1
2000
D)
1
200
Write the decimal in the form indicated.
26) 2.78; expanded form
8
7
8
7
B) 2 + + A) 2 + + 100 1000
10 100
B) 0.6
D) 0.65
29
40
A) 0.685
C) 0.735
A)
C)
B) 0.625
D) 0.725
2
2
7
8
+ + 10 100 1000
D) 2 + 78
100
34) Mr. Rivera opened a package of 150 drinking cups
for his restaurant. During the day, 97 cups were
used. What fraction of the package of cups was
used? Express the result using a simple,
convenient fraction that is close in value to the
exact answer.
1
2
3
3
A)
B)
C)
D)
2
3
4
5
27) 261.09; expanded exponential form
A) 2 · 102 + 6 · 101 + 1 · 100 + 0 · 10-1 + 9 · 10-2
B) 2 · 103 + 6 · 102 + 1 · 101 + 0 · 100 + 9 · 10-1
C) 2 · 10-2 + 6 · 10-1 + 1 · 100 + 0 · 101 + 9 · 102
D) 2 · 103 + 6 · 102 + 1 · 101 + 0 · 10-1 + 9 · 10-2
28) 9.003812; expanded exponential form
A) 9 · 101 + 0 · 100 + 0 · 10-1 + 3 · 10-2
+ 8 · 10-3 + 1 · 10-4 + 2 · 10-5
B) 9 · 100 + 0 · 101 + 0 · 102 + 3 · 103
Write in the requested form. NOTE: On test, be prepared to
draw an illustration.
25
; mixed number
35)
3
+ 8 · 104 + 1 · 105 + 2 · 106
C) 9 · 100 + 0 · 10-1 + 0 · 10-2 + 3 · 10-3
+ 8 · 10-4 + 1 · 10-5 + 2 · 10-6
A) 8
D) 9 · 100 + 3 · 10-1 + 8 · 10-2 + 1 · 10-3
+ 2 · 10-4
36)
Write the number in scientific notation.
29) 0.000209
A) 2.09 × 10- 5
B) 2.09 × 104
C) 2.09 × 10- 3
A) 8
D) 2.09 × 10- 4
C) 8.9 × 1010
31) 7,600,000,000,000
A) 7.6 × 10- 9
C) 7.6 × 109
B) 8.9 × 10- 10
D) 8.9 × 10- 9
B) 7.6 × 1012
D) 7.6 × 10- 12
D) 9
1
3
3
7
B) 9
3
5
C) 8
3
5
D) 7
3
5
A) -4
5
8
B) -5
5
7
C) -5
5
8
D) -6
5
8
A)
2
D) hr
5
D)
1
7
43
5
B)
43
3
C)
40
5
D)
40
3
B)
16
8
C)
23
8
D)
23
7
7
39) 2 ; fraction
8
16
7
Arrange the fractions in ascending order. Or, if the fractions
are equivalent, answer ʺEquivalentʺ.
1
12
40) - , - 2
17
33) For lunch, Jamie bought a 8-inch submarine
sandwich. What fraction of a foot was Jamieʹs
sandwich? (1 foot = 12 inches)
5
7
ft
B)
ft
A)
12
12
5
ft
6
C) 7
3
38) 8 ; fraction
5
Solve the problem.
32) Julia preheated her oven for 19 minutes. What
fraction of an hour was this? (1 hour = 60 min)
7
19
hr
B)
hr
A)
20
60
C)
1
3
45
; mixed number
8
A)
3
hr
C)
10
B) 8
43
; mixed number
5
37) - 30) 89,000,000,000
A) 8.9 × 109
1
2
A) - 2
ft
3
12
1
, - 17
2
1
12
B) - , - 2
17
C) Equivalent
3
41) - 1
1
, - 15
7
4 5
A) 2 , 2 , 2.25, 2.52
9 8
1
1
B) - , - 7
15
5
4
B) 2.25, 2 , 2.52, 2
8
9
C) Equivalent
4 5
C) 2.25, 2.52, 2 , 2
9 8
A) - 42)
3 10 8
, , 4 13 11
A)
43)
5
4
48) 2.25, 2 , 2.52, 2
8
9
1
1
, - 15
7
5
4
D) 2 , 2.52, 2 , 2.25
8
9
10 8 3
, , 13 11 4
49) 0.5866, 0.586, 0.58666, 0.586
8 3 10
B)
, , 11 4 13
A) 0.586, 0.58666, 0.5866, 0.586
3 8 10
C) , , 4 11 13
C) 0.586, 0.586, 0.5866, 0.58666
B) 0.586, 0.586, 0.5866, 0.58666
D) 0.586, 0.5866, 0.58666, 0.586
7 2 9
, , 22 5 24
A)
2 7 9
, , 5 22 24
B)
7 9 2
, , 22 24 5
Find the mixed number or rational fraction in lowest terms
represented by the repeating decimal.
50) 0.11111 . . .
10
10
A)
B)
99
999
C)
9 2 7
C)
, , 24 5 22
51) 0.323232 . . .
320
A)
99
Write the numbers in order of increasing size.
44) 0.08, 0.01, 0.018, 0.081
A) 0.01, 0.08, 0.018, 0.081
B) 0.081, 0.018, 0.08, 0.01
C) 0.018, 0.081, 0.01, 0.08
D) 0.01, 0.018, 0.08, 0.081
C)
32
99
52) 0.814814 . . .
220
A)
27
45) 2.954, 2.549, 2.594, 2.459
A) 2.459, 2.594, 2.549, 2.954
B) 2.954, 2.549, 2.594, 2.459
C) 2.459, 2.549, 2.594, 2.954
D) 2.954, 2.594, 2.549, 2.459
C)
22
27
53) 1.363636 . . .
4
A) 1
11
46) 2.09, 2.9, 2.099, 2.999
A) 2.999, 2.9, 2.099, 2.09
B) 2.09, 2.099, 2.9, 2.999
C) 2.099, 2.09, 2.999, 2.9
D) 2.09, 2.9, 2.099, 2.999
C)
2 1 3
, , , 0.95
3 2 4
B)
1 2 3
, , , 0.95
2 3 4
3 2 1
C) 0.95, , , 4 3 2
D)
3 2 1
, , , 0.95
4 3 2
5
37
D)
1
9
B)
320
999
D)
32
999
B)
740
9
D)
74
9
B) 13
D) 1
7
11
13
37
Write the number in scientific notation.
54) 82,000
A) 8.2 × 10-4
B) 8.2 × 104
1 3 2
47) , , , 0.95
2 4 3
A)
1
99
C) 8.2 × 105
4
D) 8.2 × 10-5
55) 6,500,000
A) 6.5 × 10-7
C) 6.5 × 10-6
B) 6.5 × 106
D) 6.5 × 107
56) 0.000294
A) 2.94 × 10-5
C) 2.94 × 104
B) 2.94 × 10-3
D) 2.94 × 10-4
57) 0.000005579
A) 5.579 × 10-6
C) 5.579 × 10-7
B) 5.579 × 10-5
D) 5.579 × 106
68) 14 minutes to 5 hours
A) 7 : 150
C) 14 : 60
B) 168
D) 14 : 5
69) 19 hours to 72 days
A) 19 : 3
C) 3 : 19
B) 1 : 152
D) 19 : 1728
A) 9 : 2
C) 1 : 7
B) 225.9
D) 753
59) 1.91 × 10-4
A) 0.000191
C) 0.0000191
B) -191,000
D) 0.00191
60) 4.296 × 10-5
A) 0.00004296
C) 0.000004296
B) -429,600
D) 0.0004296
61) 1.981 × 10-6
A) 0.0000001981
C) 0.00001981
B) 0.000001981
D) -1,981,000
Express the ratio in simplest form.
62) 28 cents to 91 cents
A) 1 : 13
C) 13 : 4
B) 7 : 80
D) 21 : 20
1
70) 4 days to 4 weeks
2
Convert to standard notation.
58) 7.53 × 103
A) 75,300
C) 7530
67) 7 feet to 80 inches
A) 7 : 960
C) 80 : 7
Solve the problem.
71) The fuel for a gas snowblower consists of 1.7 parts
oil to 30.6 parts gas. Determine the ratio of oil to
gas in simplest form.
A) 1 : 19
B) 1 : 18
C) 18 : 1
D) 17 : 1
72) The ratio of staff to patients at Lakeview is 8 to 7.
If total staff plus patients is 1575 people, how
many staff are at Lakeview?
A) 735
B) 945
C) 840
D) 630
73) Carl wants to make some furniture stripper. The
stripper is a mixture of chemicals A and B in the
ratio of 10 to 2. How many ounces of chemical A
are needed to make 24 ounces of stripper?
A) 20
B) 18
C) 22
D) 4
B) 4 : 13
D) 27 : 91
63) $24 to $112
A) 8 : 8
C) 112 : 24
B) 24 : 14
D) 3 : 14
64) 27 people to 12 people
A) 5 : 10
C) 9 : 4
B) 4 : 9
D) 10 : 5
B) 9 : 56
D) 9 : 4
74) May planted 156 tulip bulbs in 6 hours and June
planted 120 in 5 hours. Compare the ratios.
Which person planted the most per hour? How
many per hour?
B) May, 24
A) June, 26
D) May, 26
C) June, 24
75) The trim for a costume costs $38.25 for 4.5 yd.
Find the unit price in dollars per yard.
A) $76.50 per yd
B) $33.75 per yd
C) $8.50 per yd
D) $42.75 per yd
65) The ratio of wins to games played if a baseball
team wins 35 games and loses 55 games
A) 7 : 11
B) 11 : 18
C) 11 : 7
D) 7 : 18
76) A 2-lb package of ground beef costs $3.18. What
is the unit price in cents per ounce? Round to the
nearest hundredth of a cent.
B) 1.59 cents per oz
A) 9.06 cents per oz
C) 1.18 cents per oz
D) 9.94 cents per oz
66) The ratio of all members to women members in a
club whose members are 14 men and 26 women
A) 7 : 13
B) 20 : 13
C) 20 : 7
D) 13 : 7
5
77) Find the best buy.
84)
Brand X 16 oz for $6.08
Brand Y 12 oz for $4.32
A) Equal value
B) Brand Y
C) Not enough information
D) Brand X
8.1
5.4
A) x = 7.2; y = 3.9
C) x = 6.3; y = 3.6
78) Find the best buy.
Brand A 21 oz for $12.60
Brand B 24 oz for $14.64
A) Brand A
B) Not enough information
C) Equal value
D) Brand B
Use a proportion to solve the problem. Round answers to the
nearest tenth if necessary.
85) Dr. Wong can see 12 patients in 3 hours. At this
rate, how long would it take her to see 84
patients?
A) 20 hours
B) 36 hours
C) 336 hours
D) 21 hours
Solve the proportion.
11 11.88
= 79)
7.56
y
A) 0.06
C) 10.19
80)
81)
86) Maria and Charlie can deliver 66 papers in 2
hours. How long would it take them to deliver 99
papers?
A) 3 hr
B) 4.5 hr
C) 1.3 hr
D) 198 hr
B) 17.29
D) 7
0.4
a
= 0.3 0.8
A) 1.15
C) 0.15
87) A label printer prints 5 pages of labels in 1.7
seconds. How long will it take to print 160 pages
of labels?
A) 56.4 sec
B) 54.4 sec
C) 57.4 sec
D) 58.4 sec
B) 0.6
D) 0.3
9
5
= x x + 8
4
A)
3
B) 2
C) 10
88) In a sample of 70 widgets, 8 were defective. How
many defective widgets would you expect in a
sample of 350 widgets?
A) 43 widgets
B) 86 widgets
C) 38 widgets
D) 40 widgets
4
D)
7
The two triangles below are similar. Find the missing
lengths.
Use a proportion to solve the problem.
89) On Anneʹs bicycle, the ratio of pedal turns to
rear-wheel turns in second gear is 4 to 7. If her
rear wheel turns 994 times per mile, how many
times does she turn the pedal in one mile?
Express your answer as an integer or mixed
number.
1
B) 568 times
A) 1739 times
2
82)
15
3
5
12
4
B) x = 3
D) x = 12
A) x = 9
C) x = 5
83)
C) 998 times
9
12
4
3
5
A) x = 20
C) x = 15
B) x = 6.3; y = 3.9
D) x = 1.24; y = 3.6
B) x = 5
D) x = 16
6
D) 1001 times
90) 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
153 yards with a 7-iron, how far should he
average with a 5-iron? Express your answer as an
integer or mixed number.
1
A) 142 yards
B) 127 yards
2
3
C) 183 yards
5
Find the percent of the figure that is shaded.
94)
D) 164 yards
1
91) Under typical conditions, 1 ft of snow will melt
2
to 2 in. of water. To how many inches of water
1
will 3 ft of snow melt? Express your answer as
4
an integer or mixed number.
1
5
B) 6 inches
A) 4 inches
2
12
7
C) 4 inches
8
B) 10%
D) 0.12%
A) 0.7%
C) 7%
B) 70%
D) 60%
95)
1
D) 4 inches
3
Provide an appropriate response.
92) 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?
7 5
2 x
2 5
7 x
(i) = (ii) = (iii) = (iv) = 2 x
7 5
7 x
2 5
A) (i) and (iv)
C) (ii) and (iv)
A) 12%
C) 1.2%
B) (iii) only
D) (i) only
93) Ben drove his car 656 kilometers in 7 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:
656 6
= . Explain why this proportion will not
x
7
give him the correct answer.
7
96)
Write as a percent.
100) 0.77
A) 770%
C) 77%
B) 0.077%
D) 7.7%
101) 0.595
A) 0.595%
C) 0.0595%
B) 595%
D) 59.5%
102) 8.9
A) 89%
C) 0.0089%
B) 0.89%
D) 890%
103) 8
A) 400%
C) 0.08%
B) 800%
D) 0.8%
Write the percent as a fraction in the lowest terms.
104) 27%
27
27
B)
A)
50
100
27
20
D)
3
10
A)
437
500
B)
874
100
C)
437
50
D)
437
5
A)
1
200
B)
1
1000
C)
1
4000
D)
1
2000
B)
69
8
D)
69
40
C)
105) 87.4%
106) 0.05%
A) 251%
C) 51%
B) 2.51%
D) 25.1%
Write the fraction as a percent.
18
97)
20
A) 95%
C) 100%
107) 86.25%
69
A)
160
B) 90%
D) 80%
C)
98)
13
50
A) 26.0%
C) 2.60%
99)
Write the percent as a decimal.
108) 40%
A) 0.04
C) 4
B) 13.00%
D) 15.00%
31
50
A) 620%
C) 124%
69
80
109) 400%
A) 0.4
C) 4.01
B) 62%
D) 6.2%
8
B) 0.29
D) 0.4
B) 40
D) 4
110) 505%
A) 5.05
C) 50.5
118) At a university, 60% of the students who apply
are accepted. Of those who are accepted, 70%
actually enroll. If 30,000 students apply, how
many actually enroll?
A) 17,400 students
B) 29,870 students
C) 12,600 students
D) 28,700 students
B) 0.505
D) 5.06
Solve the problem. Round your answer to the nearest tenth
of a percent unless otherwise indicated.
111) Sales of frozen pizza for a club fund-raiser
increased from 500 one year to 575 the next year.
What was the percent of increase?
A) 85%
B) 87%
C) 15%
D) 13%
112) Last year, Maria earned $314 per week. This year,
her salary increased to $334 per week. What is the
percent of increase?
A) 6%
B) 6.4%
C) 94%
D) 93.6%
113) The price of a printer was reduced from $400 to
$280. What was the percent of decrease?
A) 42.9%
B) 30%
C) 35%
D) 70%
114) All 33 of the students in a mathematics class
attended class on Monday. On Tuesday only 27
students attended. What was the percent of
decrease?
A) 77.8%
B) 18.2%
C) 81.8%
D) 22.2%
Solve the problem. If the answer is an amount of money,
round to the nearest dollar.
115) The Perrones have saved $20,000 for a down
payment. If a 18% down payment is required,
what price house can they buy?
A) $360,000
B) $3600
C) $1111
D) $111,111
116) Alex and Juana went on a 40-mile canoe trip with
their class. On the first day they traveled 22 miles.
What percent of the total distance did they canoe?
A) 2%
B) 55%
C) 0.55%
D) 200%
117) Maria has saved $420 at a bank. She wants to
accumulate $1250 to attend computer camp. What
percent of her goal has been reached?
A) 33.6%
B) 30%
C) 0.336%
D) 3%
9
Answer Key
Testname: MTH 231 REVIEW (SECTIONS 6.1‐6.5,7.1‐7.3)
1) B
2) A
3) A
4) B
5) C
6) C
7) B
8) B
9) C
10) B
11) C
12) D
13) C
14) D
15) A
16) C
17) D
18) D
19) A
20) A
21) D
22) C
23) C
24) B
25) C
26) A
27) A
28) C
29) D
30) C
31) B
32) A
33) D
34) B
35) B
36) C
37) C
38) A
39) C
40) A
41) B
42) B
43) B
44) D
45) C
46) B
47) B
48) B
49) D
50) D
51) C
52) C
53) A
54) B
55) B
56) D
57) A
58) C
59) A
60) A
61) B
62) B
63) D
64) C
65) D
66) B
67) D
68) A
69) D
70) B
71) B
72) C
73) A
74) D
75) C
76) D
77) B
78) A
79) D
80) C
81) C
82) A
83) C
84) C
85) D
86) A
87) B
88) D
89) B
90) C
91) D
92) A
93) The proportion is wrong. It
656 x
should be = .
7
6
94) A
95) B
96) A
97) B
98) A
99) B
100) C
101) D
102) D
103) B
104) A
10
105)
106)
107)
108)
109)
110)
111)
112)
113)
114)
115)
116)
117)
118)
A
D
C
D
D
A
C
B
B
B
D
B
A
C