MTH 10
Homework5
Give three kinds of notation for the percent.
1) 9%
9
1
;9×
; 9 × 0.001
A)
1000
1000
C)
1)
9
1
;9×
; 9 × 0.01
100
100
B)
9
1
;9×
; 9 × 0.1
10
10
D)
0.9
1
;9×
; 9 × 0.01
100
100
2) 34%
2)
A)
34
1
; 34 ×
; 34 × 0.01
100
100
B)
34
1
; 34 ×
; 34 × 0.1
10
10
C)
3.4
1
; 34 ×
; 34 × 0.01
100
100
D)
34
1
; 34 ×
; 34 × 0.001
1000
1000
3) 156%
3)
A)
156
1
; 156 ×
; 156 × 0.0001
10000
10000
B)
156
1
; 156 ×
; 156 × 0.01
100
100
C)
156
1
; 156 ×
; 156 × 0.001
1000
1000
D)
156
1
; 156 ×
; 156 × 0.1
10
10
Find decimal notation.
4) 22.8%
A) 0.228
5) 640%
A) 6.41
6) 0.54%
A) 0.054
7) 8
4)
B) 0.0228
C) 0.118
D) 2.28
5)
B) 0.64
C) 64
D) 6.4
6)
B) 0.0064
C) 0.54
D) 0.0054
2
%
5
A) 0.84
7)
B) 0.084
C) 0.0084
D) 840
1
8) 64 %
4
A) 6.425
8)
B) 0.06425
C) 6425
D) 0.6425
5
9) 94 %
8
A) 9.4625
Find percent notation.
10) 9.3
A) 0.93%
9)
B) 0.94625
C) 9462.5
D) 0.094625
10)
B) 930%
C) 93%
1
D) 0.0093%
11) 0.00582
A) 0.000582%
11)
B) 0.0582%
C) 0.291%
D) 0.582%
12) 1
12)
A) 0.1%
13)
B) 100%
D) 50%
8
10
13)
A) 0.8%
14)
C) 0.01%
2
5
B) 80%
C) 8%
D) 800%
Round to the nearest tenth, if necessary.
A) 4%
14)
B) 40%
C) 80%
D) 50%
Find fraction notation and simplify.
1
15) 87 %
2
A)
7
4
15)
B)
16) 62.5%
5
A)
9
7
16
C)
7
8
D)
35
4
16)
B)
5
8
C)
25
4
D)
5
11
17) 0.6%
A)
17)
3
1000
B)
3
250
C)
3
500
D)
3
50
Supply the missing numbers.
18) fraction decimal percent
1
2
A) 0.5
50%
18)
B) 0.65
6.5%
C) 5
50%
D) 0.5
5%
19) fraction decimal percent
80%
A)
4
5
8
19)
B)
7
10
8
C)
4
5
0.8
D)
7
10
0.8
20) fraction decimal percent
1
4
20)
If necessary, round the decimal to the nearest thousandth and the percent to the nearest tenth.
A) 0.37 37%
B) 0.37 370%
C) 0.25 25%
D) 0.25 2.5%
2
Translate to an equation. Do not solve.
21) 60% of 46 is what?
A) 60% + 46 = y
B) 60% = 46 × y
22) 49 is 58% of what?
A) 49 = 58% × n
21)
C) 60% × y = 46
22)
B) 49 × n = 58%
C) 49 × 58% = n
23) 16.3 is what percent of 91?
A) 16.3% = z × 91
B) 16.3 = z × 91
26) What is 3% of $495?
A) $19.80
27) What is 89% of 176?
A) 156.64
C) 16.3 × z = 91
C) 384
B) 595
C) 695
D) 5950
26)
B) $9.90
C) $14.85
D) $148.50
27)
B) 15,664
C) 15.66
D) 1566.4
28)
C) 20%
D) 6%
29)
C) 80%
30) What percent of 50 is 13?
A) 26%
B) 60%
33) 45% of what is 81?
A) 0.56
D) 3840
25)
29) What percent of 75 is 60?
A) 120%
B) 75%
32) $18 is 5% of what?
A) $36
D) 16.3 = z × 91%
24)
28) What percent of 160 is 32?
A) 5%
B) 21%
31) 73 is 20% of what?
A) 36.5
D) 49 = 58 × n
23)
Translate to an equation and solve.
24) 32% of 1200 is what?
A) 38,400
B) 38.4
25) What is 7% of 8500?
A) 6950
D) 60% × 46 = y
D) 125%
30)
C) 13%
D) 30%
31)
B) 14.6
C) 365
D) 3650
32)
B) $360
C) $3600
D) $90
33)
B) 56
C) 180
D) 1800
Solve the problem.
34) A camera costs $610. If the sales tax rate is 7%, how much tax is charged and what is the total
price? Round your answers to the nearest cent.
A) $427.00, $1037.00
B) $42.70, $652.70
C) $48.80, $658.80
D) $36.60, $646.60
3
34)
35) A telephone costs $459. If the sales tax rate is 2%, how much tax is charged and what is the
total price? Round your answers to the nearest cent.
A) $4.59, $463.59
B) $13.77, $472.77
C) $9.18, $468.18
D) $91.80, $550.80
35)
36) A set of chairs costs $256. The sales tax is $17.92. What is the sales tax rate?
A) 9%
B) 0.7%
C) 7%
D) 8%
36)
37) The sales tax on a freezer is $28.66 and the sales tax rate is 2%. Find the purchase price (the
price before taxes are added). Round your answer to the nearest cent.
A) $2866.00
B) $1433.00
C) $143.30
D) $955.33
37)
38) The sales tax on a freezer is $23.09 and the sales tax rate is 8%. Find the purchase price (the
price before taxes are added) and the total price paid. Round your answers to the nearest cent.
A) $28.86, $51.95
B) $256.56, $279.65
C) $288.62, $311.71
D) $329.86, $352.95
38)
Find the missing values.
39) Marked Price Rate of Discount Discount Sale Price
$570
35%
A) $193.80, $376.20
B) $199.50, $370.50
C) $99.75, $470.25
D) $205.20, $364.80
40) Marked Price Rate of Discount Discount Sale Price
$44
$8.80
A) 21%, $35.20
B) 2%, $35.20
C) 22%, $35.20
39)
40)
D) 20%, $35.20
41) Marked Price Rate of Discount Discount Sale Price
22%
$42.90
A) $195; $152.10
B) $152.10; $20.70
C) $943.80; $900.90
D) $9.44; $33.46
Find the simple interest. Round your answer to the nearest cent.
42) Principal = $61,200
Interest Rate = 3%
Time in years = 7
A) $2914.29
B) $1285.20
C) $12,852.00
41)
42)
D) $26,228.57
43) Principal = $300
Interest Rate = 8%
1
Time in years = 3
2
A) $131.25
Find the average.
44) 7.2, 7.5, 5.5, 7.5, 5.3
A) 7.2
43)
B) $84.00
C) $6.86
D) $8.40
44)
B) 7.5
C) 5.5
4
D) 6.6
45) 2.2, 7.1, 6.1, 2.5, 4.8
A) 5.675
45)
B) 22.70
C) 4.8
46) $28.35, $16.25, $26.10, $24.25, $15.65
A) $18.43
B) $27.65
46)
C) $24.25
Find the median for the set of numbers.
47) 28, 16, 213, 153, 276, 243, 243
A) 153
B) 243
48) 38, 135, 262, 278, 308, 389
A) 278
49) 10, 5, 28, 20, 24, 45, 36, 35
A) 24
D) $22.12
47)
C) 213
D) 167
48)
B) 270
C) 262
D) 201.5
49)
B) 28
C) 26
Find the mode or modes for the set of numbers.
50) 5, 9, 19, 3, 2, 8, 21, 1, 4, 16
A) 8
B) 8.2
51) 20, 23, 46, 23, 49, 23, 49
A) 46
D) 4.54
D) 25.5
50)
C) 9
D) No mode
51)
B) 49
C) 23
52) 74, 25, 74, 13, 25, 29, 56, 74
A) 42.5
B) 46.3
D) 33.3
52)
C) 25
D) 74
The following table contains information about moons orbiting a planet named Geo I. Use the table to solve the
problem.
53)
53)
Average Distance
Time of Revolution
Moon from Geo I (km) Diameter (km) (in Earth time, years)
Luna 1
1000
415
0.25
Luna 2
1300
2175
0.77
Luna 3
80,000
310
1.36
Luna 4
115,200
725
38.96
Luna 5
264,000
1140
100.32
What is the time of revolution around Geo 1 of the moon Luna 4?
A) 0.77 years
B) 725 years
C) 100.32 years
5
D) 38.96 years
54)
54)
Average Distance
Moon from Geo I (km) Diameter
Luna 1
2000
Luna 2
2600
Luna 3
50,000
Luna 4
72,000
Luna 5
165,000
Time of Revolution
(km) (in Earth time, years)
418
0.50
2184
1.54
310
2.72
728
24.35
1146
62.70
What is the average time of revolution of the moons?
A) 2.72 years
B) 1.54 years
C) 18.36 years
D) 957.20 years
Use the pictograph to answer the question.
55) For selected countries, this pictograph shows approximately how many kilograms of seafood
are consumed by each person (per capita) annually.
405
Approximately how many more kilograms of seafood is eaten per person in Country A than in
Country B?
A) 1215 kilograms
B) 1316.25 kilograms
C) 1012.5 kilograms
D) 1417.5 kilograms
6
55)
56) This pictograph shows projected sales of compact disks (CDs) for a popular rock band for
seven consecutive years.
Year Projected CD Sales
2012
2011
2010
2009
2008
2007
2006
= 10,000 CDs
How many sales do 4 CD symbols represent?
A) 10,000
C) 40,000
56)
B) Not enough information is given.
D) 4
The bar graph below shows the number of students by major in the College of Arts and Sciences. Answer the
question.
57) About how many students are in the College of Arts and Sciences?
A) 1050
B) 1325
C) 1225
57)
D) 1100
58) The science department spends about $200 on equipment for each student majoring in science.
How much should the science department budget for equipment?
A) $30,000
B) $40,000
C) $3000
D) $20,000
7
58)
Refer to the double-bar graph below which shows the number of male and female athletes at a university over a
four-year period. Solve the problem.
59) Which year had the same number of male and female athletes?
A) 2003
B) 2004
C) 2002
59)
D) 2005
60) In which year did the greatest difference between the number of male athlete and female
athletes occur? Find the difference.
A) 2005; 150 athletes
B) 2005; 200 athletes
C) 2003; 100 athletes
D) 2005; 100 athletes
60)
Use the graph to answer the question.
61) What were the total sales for the first 6 months of 2000?
A) $240,000
B) $46,000
C) $366,000
61)
D) $290,000
62) What was the difference between the highest and lowest monthly sales in 2000?
A) $6000
B) $4000
C) $8000
D) $2000
8
62)
Use the circle graph to solve the problem.
63) A survey of the 8088 vehicles on the campus of State University yielded the following circle
graph.
63)
9%
16%
32%
9%
7%
27%
What percent of the vehicles are hatchbacks?
A) 27%
B) 9%
C) 32%
D) 259%
64) There are 16,000 students attending the local university. The circle graph shows the percentage
of those students who attend different sporting events.
6%
12%
39%
19%
24%
How many students attend Basketball and Baseball games?
A) 1920 students
B) 816,000 students
C) 8160 students
D) 6240 students
9
64)
65) The circle graph below gives the number of residents in the residence halls at the state
university.
256
192
440
168
200
336
Write the ratio as a fraction in lowest terms of the number of residents at Evans to the number
of students at Brown.
24
25
200
25
A)
B)
C)
D)
25
199
199
24
10
65)