Download Warm Up - By Standards [954198]

Warm Up - By Standards [954198]
Student
Class
Date
1. During a sale, a store advertised that every item in the store was 35 percent off the marked
price. During this sale, what was the cost, in dollars, of an item that was marked x dollars?
A.
B.
C.
D.
2. Which equation demonstrates the inverse property of multiplication?
A.
B.
C.
D.
3. Which expression is equivalent to
A.
B.
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C.
D.
4. Sheila simplified an expression using the following steps.
Step 1: 5x + 4(3 + 2x)
Step 2: 5x + 12 + 8x
Step 3: 5x + 8x + 12
Step 4: 13x + 12
Which property justifies Step 3?
A. identity property
B. associative property
C. distributive property
D. commutative property
5. April has 5 fewer quarters than twice the number of her dimes. If d represents the number
of dimes April has, which expression represents the total number of April’s quarters and
dimes?
A.
B.
C.
D.
6. Amanda has a coupon for 30% off the total amount purchased, p, at a store. Which
expression can be used to find the amount Amanda will pay at this store when she uses
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her coupon?
A.
B.
C. 0.30p
D. 0.70p
7. Which value of x will make the equation
true?
A.
B.
C.
D.
8. Marisa saved $3000 to take a bike trip from Florida to California. She estimated her
expenses to be $40 per day. The cost of a ticket to fly back is $240. The inequality below
can be used to find the maximum number of days (d) for which Marisa can pay the
expenses on the bike trip.
Which inequality expresses the maximum number of days Marisa can pay the expenses for
her bike trip?
A.
B.
C.
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D.
9. Each floor of a 15-story building has a height of 9 feet. There is a 2-foot space above each
floor which holds insulation and wiring. Which measurement below best represents the
total height of the building?
A. 135 feet
B. 135 square feet
C. 165 feet
D. 165 square feet
10. The bee hummingbird is one of the world’s smallest birds. The average bee hummingbird
weighs about 0.07 of an ounce. Which of the following is equivalent to 0.07?
A.
B.
C.
D.
11. Jack’s investment of P dollars earns 8% per year. Which expression is not equivalent to
8% of P?
A. 0.08 P
B.
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C. 0.0800 P
D.
12. A truck’s fuel tank holds 45 gallon of fuel. The fuel gauge below shows the tank’s current
fuel level. The tick mark closest to the “F” represents a full tank, and the tick mark closest
to the “E” represents an empty tank.
If each tick mark on the gauge represents one quarter of the tank, which is the best
estimate of the number of gallons of fuel remaining in the tank?
A. 15
B. 20
C. 25
D. 30
13. Which value for x satisfies the equation
A. 3
B. 7
C. 18
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D. 27
14. In the inequality
, x represents the number of papers Mr. Melamet will be able to
grade in an evening. Which phrase most accurately describes the number of papers?
A. more than 48
B. less than 48
C. at most 48
D. exactly 48
15. Lorna has decorated six cakes today and plans to work an additional two hours icing
cakes. The table below describes the relationship between the number of cakes, c, that
Lorna can decorate per hour and the total number of cakes she will decorate today, d.
c
d
1
8
2
10
3
12
4
?
How many total cakes will Lorna decorate today if she can decorate four cakes per hour?
A. 14
B. 15
C. 16
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D. 17
16. Which is the solution to
?
A.
B.
C.
D.
17. Model trains in Mr. Emerson’s Engine Shop are constructed using various scales. Three of
these scales are described in the table below.
Scales for Trains
Scale
Length
HO
3.5 mm = 1 foot
N
2 mm = 1 foot
O
7 mm = 1 foot
Based on this information, an O scale model of a standard 50-foot boxcar is how many
centimeters longer than an N scale model of the same boxcar?
A. 10.0
B. 17.5
C. 25.0
D. 50.0
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18. Which of the following is true for a circle that has a circumference of approximately 75
feet?
A. The diameter is approximately 12 square feet.
B. The radius is approximately 12 square feet.
C. The diameter is approximately 12 feet.
D. The radius is approximately 12 feet.
19. Rectangle JKLM is shown.
Which rectangle is a dilation of Rectangle JKLM with a scale factor of
A.
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B.
C.
D.
20. The Morgan family is planning a trip from Yuma to Bakersfield. This map uses a scale of 1
cm = 42 miles and shows that the distance from Yuma to Bakersfield is about 9.5
centimeters. How many miles will the Morgan family travel to get to Bakersfield?
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A. 51.5
B. 137
C. 399
D. 3990
21. In a photograph, a lighthouse measure 27 centimeters high and 12 centimeters wide. If the
actual lighthouse has a width of 8 meters, what is its actual height?
A. 13.5 meters
B. 18.0 meters
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C. 23.0 meters
D. 40.5 meters
22. On a map with a scale of 1 in. = 30 miles, the distance between Tarreytown and Hillville is
in. What is the actual distance between the towns to the nearest mile?
A. 70
B. 120
C. 135
D. 150
23. Which of the following triangles CANnot be drawn?
A. Scalene right triangle
B. Acute isosceles triangle
C. Equilateral right triangle
D. Obtuse isosceles triangle
24. Which set of measurements could be the lengths of three segments that form a triangle?
A. 2 cm, 2 cm, 5 cm
B. 6 cm, 2 cm, 8 cm
C. 5 cm, 9 cm, 3 cm
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D. 7 cm, 2 cm, 6 cm
25. The rectangular prism shown is formed by six intersecting planes.
Where do the planes ABFE and EFGH intersect?
A. Point E
B. Point F
C. the line containing
D. the line containing
26. In this figure, the planes intersect to form a
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A. line.
B. point.
C. plane.
D. rectangle.
27. A flower bed in the shape of a rectangular prism is 10 feet long, 1 foot wide, and 0.5 foot
deep. Which measurement best represents the volume in the flower bed?
A. 5 square feet
B. 5 cubic feet
C. 11.5 square feet
D. 11.5 cubic feet
28. A company makes a rectangular rug with a geometric design. They decide to make this
rug in a size that will have double the area of the original rug. Which of these changes will
double the area of the rug?
A. Double the length only
B. Double the length and the width
C. Add 2 feet to the length only
D. Add 2 feet to the length and the width
29. In the figure below, circle B lies inside circle A. The radius of circle A is 3x and the radius
of circle B is 2x.
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What is the area of the shaded region?
A.
B.
C.
D.
30. Toni traced around the circular base of a lampshade to make a circle on a sheet of paper.
The diameter of the base of the lampshade is 22 inches, as shown below.
Which measurement is closest to the circumference of the circle Toni drew?
A. 35 inches
B. 69 inches
C. 138 inches
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D. 380 inches
31. In the diagram below,
If
and
what is
A. 25°
B. 35°
C. 45°
D. 55°
32. What is the measure of
if
and
A. 74°
B. 82°
C. 86°
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D. 106°
33. The 4-pointed star figure is made of 1 square and 4 congruent triangles.
What is the area, in square inches, of the entire figure?
A. 60
B. 85
C. 120
D. 145
34. Stephen needs to place several cubic packages in a shipping box that measures 12 inches
by 18 inches by 24 inches. Each cubic package has a dimension of 2 inches on each side.
Which is closest to the maximum number of cubes that can fit into the box?
A. 200
B. 400
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C. 650
D. 800
35. Which statement models this equation?
A. William purchased 11 oranges and 11 apples.
B. Ms. Vela had 11 pennies in a jar after taking out 11 pennies.
C. Sheila had 11 marbles. She gave 4 to Bobby, 5 to Carla, and 2 to Jenna.
D. Mr. Carlson drove 11 miles to work. He then drove 10 miles back home.
36. The map below represents several train routes. Each line segment represents a route
between two stations. The numbers represent the length of each route, in kilometers.
If Taylor travels from the start point to the end point, what is the shortest possible distance
she could travel using the routes shown?
A. 95 kilometers
B. 90 kilometers
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C. 88 kilometers
D. 85 kilometers
37.
Beth ran
and miles during a week. How many miles did Beth run?
A.
B.
C.
D.
38.
What is the additive inverse of
A.
B.
C.
D.
39. What property is illustrated in this equation?
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A. associative property
B. distributive property
C. identity property
D. inverse property
40. Which situation does not describe a final value of 0?
A. A balloon rose to a height of 605 feet above the ground. It then dropped 500 feet and then
dropped another 105 feet.
B. The temperature at 9 a.m. was –9° F. During the next 3 hours it rose 8 degrees and then
rose an additional 2 degrees.
C. After the first round in a game Jack’s score was –11. He then scored 5 points in the next
round and an additional 6 points in the third round.
D. Keisha’s bank account had $450 at the beginning of the week. She deposited $200 on
Monday, withdrew $500 on Tuesday and withdrew an additional $150 on Wednesday.
41. Which statement best models the equation below?
A. A girl earned $7 per hour working 7 hours.
B. A train backed up 7 feet and then moved forward 7 feet.
C. A cup contained 7 ounces of water after 7 ounces were poured out from the cup.
D. A person walked 7 feet forward, stopped, and then walked another 7 feet forward.
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42. Which expression is equivalent to 0?
A. sixteen minus seven minus ten
B. twenty-one plus negative four minus seventeen
C. negative four plus negative six plus two
D. forty-two plus negative twelve minus twenty
43. Barry used a number line to simplify a numerical expression on a math test.
Which number did Barry add to get a result of 4 on the numerical expression he
simplified?
A. –14
B.
C.
D.
44. Which of the following numbers is the additive inverse of
A.
B.
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?
C.
D. 3
45. Which number line correctly represents −4−2?
A.
B.
C.
D.
46. Which number line below correctly represents 3 − 6?
A.
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B.
C.
D.
47. Which number sentence is an example of the identity property of addition?
A.
B.
C.
D.
48. This is an example of what property of addition?
A. commutative
B. distributive
C. associative
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D. reflexive
49. Out of a group of 60 people, 24 are left-handed. Which decimal represents the fraction of
the people who are left-handed?
A. 0.20
B. 0.24
C. 0.36
D. 0.40
50.
Which situation can be represented by
A. Georgia missed 48 points on her science tests.
B. Tina withdrew $48 from her savings account 3 times this month.
C. Jose’s team lost a football game by 12 points 3 times this season.
D. Franklin withdrew $48 from his savings account in 3 equal withdrawals.
51.
Which situation can be solved using the equation
A.
Mason has an 18-foot long piece of wire. Exactly how many lengths of
able to cut from his wire?
B.
Marvin’s playlist contains 18 songs. Each song is approximately
long, in minutes, is Marvin’s playlist?
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inches would he be
minutes long. About how
C.
A baker had 18 pounds of flour in a container. She used
How much flour remained in the container?
pounds of flour to make bread.
D.
Rachel bought 18 pounds of dog food at the store. She had pounds of dog food at home in
a container. She poured the food she bought at the store into the container. What was the
total number of pounds of dog food in the container?
52. The variables x and y represent nonzero rational numbers. Which situation could be
solved using the product of xy, where xy represents a negative value?
A. the change in degrees if the temperature decreases by x degrees per day for y days
B. the amount of juice Susan drinks in x days if she drinks y fluid ounces of juice each day
C. the depth of a scuba diver if he dives x feet below sea level and then rises y feet
D. the change in the price of an item if the price is increased by x dollars one month and
decreased by y dollars the next month
53. Which equation is correct?
A.
B.
C.
D.
54. A person had 4.75 feet of pipe. What could the quotient below represent?
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A. the weight of each foot of pipe if the pipe weighed 4 pounds
B.
the weight of the pipe if each foot of pipe weighed pound
C. the number of pieces of pipe that can be cut from the pipe if each piece is 4 feet long
D.
the number of pieces of pipe that can be cut from the pipe if each piece is foot long
55. Which value of n makes the number sentence true?
A. 1
B. 0
C.
D.
56. What property of multiplication is used in the equation below?
A. inverse property
B. identity property
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C. distributive property
D. associative property
57.
What is the decimal equivalent of
?
A.
B.
C.
D.
58. Four out of 32 students in Mr. Lee’s class speak 3 languages. Which decimal represents
the number of students who speak 3 languages?
A. 0.75
B. 0.133
C. 0.125
D. 0.094
59. What is the sum of –196 and 110?
A.
B.
C.
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D.
60. Mr. Roberts has a total of 5 overdue library books. The numbers of days the books are
overdue range from 6 to 11 days. If the library charges a fine of $0.05 per day for every
overdue book, about how much should Mr. Roberts pay in fines for the overdue books?
A. More than $3.00
B. Between $2.75 and $3.00
C. Between $1.50 and $2.75
D. Less than $1.50
61. Kelli works at a department store that sells shoes. She receives an employee discount for
any shoes she buys at the store. If Kelli paid $35.00 for a pair of shoes that was priced at
$50.00, what percent discount did Kelli receive on the shoes?
A. 15%
B. 30%
C. 43%
D. 70%
62. A dedicated fan of the Texas Giants reported that they scored at least 5 touchdowns in 8 of
their last 9 games. If they have 7 games left in the season, what is the best prediction of
the number of games in which the Giants will score at least 5 touchdowns?
A. 4
B. 5
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C. 6
D. 7
63. To make 8 servings of fruit punch, Lisa Ann used 3 cups of grape juice, 5 cups of water,
and cup of sugar. How many cups of sugar will she use to make 2 serving of fruit punch?
A.
B.
C.
D.
64.
Karl needs square yards of fabric to make 1 patio chair cover. What is the total amount of
fabric needed to cover 6 patio chairs?
A.
square yards
B.
square yards
C.
square yards
D.
square yards
65. On a bike trip, Erika rides 5 miles in the first 30 minutes and 13 miles in the next hour.
What is her average rate of speed?
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A. 9 miles per hour
B. 10 miles per hour
C. 11 miles per hour
D. 12 miles per hour
66. Ms. Gallegos works 8 hours per day. She made $2,400 for working 10 days. How much
money does Ms. Gallegos make per hour?
A. $24
B. $30
C. $240
D. $300
67. According to this graph, how fast is the train moving in miles per hour?
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A. 150
B. 300
C. 450
D. 600
68. Sam reads 30 pages of a book in 40 minutes. Which statement identifies a person with the
same reading rate as Sam?
A. Francine reads 40 pages in 55 minutes.
B. Leroy reads 22.5 pages in 30 minutes.
C. Paul reads 150 pages in 3.25 hours.
D. Bill reads 60 pages in 2 hours.
69. Jackie’s salary is proportional to the number of hours she works. Knowing that she made
$49 in 7 hours, which graph best models the relationship between the number of hours
Jackie works and her salary?
A.
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B.
C.
D.
70. The student council made a profit of $1,480 last year from sales of $18,500 in a pizza
fundraiser. Which will result in the same rate of profit?
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A. $52 profit for $650 in lollipop sales
B. $420 profit for $3,500 in magazine sales
C. $657 profit for $7,300 in t-shirt sales
D. $1,575 profit for $22,500 in candy bar sales
71. In which table of values does x vary directly with y?
A.
B.
C.
D.
x
y
1
5
2
5
3
5
4
5
x
y
1
5
2
4
3
3
4
2
x
y
1
2
2
4
3
2
4
4
x
y
1
3
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2
6
3
9
4
12
72. Kevin drove for 4 hours and then stopped to eat dinner. The total distance he had driven at
different time intervals is shown on the graph below.
• Using the information in the graph, determine Kevin’s average speed during these
4 hours.
• Kevin will drive for an additional 2 hours after dinner. He expects to drive 130 miles
during these 2 hours, under the same driving conditions as the trip represented in the
graph. Is this a reasonable expectation? Explain your answer and show your work.
73. Steven’s family traveled 240 miles in 4 hours. What was their average speed in miles per
hour?
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A. 40
B. 50
C. 60
D. 70
74. The graph below shows the cost of tomato plants for each plant purchased.
What is the cost of one tomato plant?
A. $0.40
B. $2.00
C. $2.50
D. $5.00
75.
Ezekiel spends t hours each night on his homework and of this time studying math. Which
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equation represents the number of hours, h, Ezekiel will spend doing math homework
during the next 5 days?
A.
B.
C.
D.
76. Arlene set up tables for a dinner. She put 6 chairs at each table. If t represents the number
of tables Arlene set up, which equation could be used to find c, the number of chairs
Arlene used?
A.
B.
C.
D.
77. The table below shows the amount of money Alison earns for the different number of miles
she drives a truck for work.
Alison’s Earnings
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Number of Miles
Driven (x)
Amount Earned in
Dollars (y)
180
72
120
48
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200
80
160
64
Alison found an equation for the data and graphed the relationship between the number of
miles she drives, x, and the amount she earns, y. Which of the following is not a valid
conclusion?
A. If Alison drives 100 miles, she should earn $40.
B. If Alison drives 150 miles for work, she should earn $60.
C. The point (0, 0) on Alison’s graph means she earns $0 if she drives 0 work miles.
D. The point (1, 0.40) on Alison’s graph means she earns $1 for each 0.40 mile she drives.
78. The graph below shows a proportional relationship between time and the total cost of a
taxi ride.
Which expression can be used to find the unit rate, in dollars, for a one-minute ride in a
taxi?
A.
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B.
C.
D.
79. Peter used black tiles and white tiles to cover a rectangular floor that is 10 feet long by 9
feet wide. Each tile is a 6-inch by 6-inch square. If the ratio of white tiles to the total
number of tiles is 2:5, how many white tiles were needed for the floor?
A. 36
B. 60
C. 144
D. 240
80. A computer store is having a clearance sale. All items are discounted by 15%. What is the
sale price of a disc drive that regularly costs $40?
A. $6
B. $15
C. $20
D. $34
81. Jim used the spinner pictured below in 4 experiments.
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He made the table to show the results.
Results of Spins
Color
Experiment A
Experiment B
Experiment C
Experiment D
Red
2
1
2
4
Blue
3
3
1
2
Green
1
2
3
0
If the probability of landing on any one color is which experiment resulted in the color
Green matching this probability?
A. Experiment A
B. Experiment B
C. Experiment C
D. Experiment D
82. In a random survey of 300 people about the kind of apples they preferred, 178 said they
preferred red apples. Based on these results, how many people out of 4500 would say they
prefer red apples?
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A. 1830
B. 2670
C. 3084
D. 4322
83. Lei has a bag full of marbles. She draws one marble from the bag, notes the color, and
then returns the marble to the bag. She repeats this process and makes a table with the
results.
Results of Marble
Draw Experiment
Color
Number
Green
8
Blue
6
Red
7
Yellow
4
If there are 500 marbles in the bag, how many of them are most likely green?
A. 140
B. 160
C. 180
D. 200
84. Antonio wants to determine the percentage of students at his school who enjoy sports.
Which method is most likely to produce valid results?
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A. survey his closest friends
B. survey the teachers at his school
C. survey the students in his math class
D. survey members of the football team
85. A planning group sent questionnaires to several sample groups to find out their opinions
on building a skateboard park in the southwest section of the city. The number of
responses by sample group is shown below.
Questionnaire on Skateboard Park Proposal
Sample Group Surveyed
Number of
Questionnaires Sent
Number of
Responses
Business and store owners
100
50
Residents of the southwest
section
500
490
Students in grades 6–12
3000
500
Teachers and recreation
leaders
500
50
Based on the response rate, which sample group’s opinion would probably have the most
influence on the planning?
A. business and store owners
B. residents of the southwest section
C. students in grades 6–12
D. teachers and recreation leaders
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86. On Friday between 4 and 5 p.m., 15 customers at a coffee shop were surveyed about their
coffee preferences. Based on the results, the shop owner concluded that vanilla bean
coffee is preferred by afternoon customers. If the shop owner wants to determine if this
preference holds true for the majority of his customers, which sampling method would
provide a more representative sample?
A. surveying 50 customers during the weekend
B. surveying every customer who purchases coffee on one Sunday
C. surveying twice as many customers at the same time on the following Friday
D. surveying 10 morning customers and 10 afternoon customers per day from Monday through
Saturday
87. A survey is given to students about the servings of fruits and vegetables that each student
typically eats in a day. The results are given in the table.
Servings of Fruits and Vegetables Typically Eaten
Number of Servings
At least 4
2
3
1 or less
Number of Students
8
7
5
5
The students in the survey represent a population of 200. Which option best describes the
population?
A. About 96 students eat 2 or 3 servings of fruits and vegetables daily.
B. About 50 students eat 1 serving or less of fruits and vegetables daily.
C. About 80 students eat at least 4 servings of fruits and vegetables daily.
D. About 125 students eat less than 4 servings of fruits and vegetables daily.
88. Sherri chose 1 marble at a time from a bag of 50 marbles, recorded its color, and returned
it to the bag. She repeated this experiment 20 times and recorded her results in the chart
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below.
Based on Sherri’s chart, how many blue marbles are in the bag?
A. 6
B. 15
C. 20
D. 30
89. The lists below show the weights, in ounces, of fish caught and released back into the
water by Joanna and Manuel.
• Weights of Joanna’s fish: 16, 20, 23, 28, 33
• Weights of Manuel’s fish: 22, 22, 26, 30, 35
Approximately how many times the difference between the mean weight of Manuel’s fish
and the mean weight of Joanna’s fish is the range of the weights of Manuel’s fish?
A. 3
B. 4
C. 13
D. 17
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90. A teacher was comparing two sets of quiz scores shown below.
What reasonable conclusion can be drawn from the data?
A. The mean of Quiz 1 scores is greater than the mean of Quiz 2 scores, but the variability is
the same.
B. The mean of Quiz 2 scores is greater than the mean of Quiz 1 scores, but the variability is
the same.
C. The variability of Quiz 1 scores is greater than the variability of Quiz 2 scores, but the mean
is the same.
D. The variability of Quiz 2 scores is greater than the variability of Quiz 1 scores, but the mean
is the same.
91. The box-and-whisker plots summarize the hourly wages of employees at two different
fitness clubs.
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Based on the box-and-whisker plots, which statement must be valid?
A. Fitness Plus has a smaller spread in the upper 25% of the hourly wages than The Fitness
Center.
B. Fitness Plus has a smaller spread in the middle 50% of the hourly wages than The Fitness
Center.
C. The Fitness Center has more employees earning an hourly wage of $17 than Fitness Plus.
D. The Fitness Center has a larger range in employee hourly wages than Fitness Plus.
92. The diameters, in millimeters, of some bicycle tires and automobile tires are summarized
in the box-and-whiskers plots.
Approximately how many times the difference between the medians of the automobile tires
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and the bicycle tires is the range of the bicycle tires?
A. 4
B. 6
C. 40
D. 60
93. Ten participants in a health study each ran a distance of 1 mile. The pulse rates of the
participants were recorded before and after the run. The pre-run and post-run pulse rates,
in pulses per minute (ppm), are shown in the table below.
Based on the data in the table, which statement is true?
A. The pre-run mean and median are the same value.
B. The post-run mean and median are the same value.
C. The post-run mean is 30 ppm greater than the pre-run mean.
D. The post-run median is 30 ppm greater than the pre-run median.
94. The box plots shown represent the ages of a random sample of 100 people who attended
Movie J and 100 people who attended Movie K.
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Which statement best compares the ages of the people attending Movie J and Movie K?
A. The median age of the people attending Movie J is about 2 times the median age of the
people attending Movie K.
B. The median age of the people attending Movie J is about 3 times the median age of the
people attending Movie K.
C.
The interquartile range of the ages of the people attending Movie J is about the interquartile
range of the ages of the people attending Movie K.
D.
The interquartile range of the ages of the people attending Movie J is about the interquartile
range of the ages of the people attending Movie K.
95. Gabby is recording her results from flipping a coin. She notices that heads has occurred
18 out of 41 times. What is the frequency of tails?
A.
B.
C.
D.
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96. A bag contains 7 red marbles, 3 yellow marbles, and 5 blue marbles that are identical in
size. If the probability of randomly selecting a red marble is
randomly selecting a marble that is not red?
what is the probability of
A.
B.
C.
D.
97. Erin is rolling a fair number cube. The probability of rolling an even number is
A. impossible.
B. less likely than rolling an odd number.
C. more likely than rolling an odd number.
D. equal to rolling an odd number.
98. Why is the following statement incorrect?
The probability of rain on July 4th is 120%.
A. It never rains on July 4th.
B. The statement does not tell where it might rain.
C. A probability cannot be more than 100%
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D. A probability of 120% is possible but unlikely.
99. Emily can hit a target with a softball 12 times out of 18 total throws. Based on that rate,
what is the approximate probability she will hit the target on her next throw?
A. 12%
B. 18%
C. 50%
D. 67%
100. Terrance makes 75% of his free throws. He will be attempting two free throws. Terrance
makes the first one. What is the probability that Terrance makes the second free throw?
A. 25%
B. 50%
C. 75%
D. 100%
101. Mr. Herrera’s class has 13 girls and 7 boys. If all the students in Mr. Herrera’s class are
present, what is the probability that the first student randomly selected to answer a
homework question will not be a boy?
A.
B.
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C.
D.
102. A deck of 28 cards contains 6 blue cards, 13 red cards, and 9 yellow cards. What is the
probability of randomly drawing a blue card from this deck?
A.
B.
C.
D.
103. The 8 tickets below are in the final drawing to win a free trip to New York.
Tickets in
Final Drawing
Ticket Number
102345
103640
234894
104765
456780
657432
018774
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567432
Ms. Waxman will draw a ticket while blindfolded. What is the probability that the ticket
she draws will end with a digit of 5?
A.
B.
C.
D.
104. Mark has a key ring with 10 similar keys. Three are for gym lockers, 2 are car keys, 1 is a
door key, and 4 are for tool boxes. If Mark selects one key without looking, what is the
probability he selects a car key or door key?
A. 1%
B. 10%
C. 20%
D. 30%
105. Mark wants to test his hypothesis that he will have an equally likely chance of drawing 4
straws, given 3 are long and 1 is short. In his experiment, the long straw was drawn 85
times and the short straw 15 times. Which conclusion best supports his results?
A. The 4 straws are equally likely based on these results.
B. The short straw has a less likely chance of being drawn based on these results.
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C. A conclusion cannot be determined due to the fact he did not conduct 1000 trials.
D. The straws were not equally likely because the short straw was drawn more times.
106. Melissa thinks that 3 of the 5 pens in her backpack are blue. She conducts an experiment
by pulling out a pen from her backpack, recording the color, and then returning it to her
backpack.
Pen color
Times
Selected
Black
12
Red
2
Blue
1
Which conclusion best describes her results?
A. 25% of the pens are black.
B. 17% of the pens are red.
C. There are very few blue pens.
D. There are very few black pens.
107. Victor must choose one pair of pants, one shirt, and one tie to wear to work. His possible
choice combinations are shown in the tree diagram below.
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If Victor chooses these work clothes at random, what is the probability that he will
choose tan pants, a white shirt, and a red tie?
A.
B.
C.
D.
108. There are 5 brown horses and 4 tan horses in a barn. Sonia will randomly select two
horses to ride with her friend. What is the probability that the first horse selected is tan
and the second horse selected is brown?
A.
B.
C.
D.
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109. John is asked to roll a fair number cube, numbered from one to six, and toss a balanced
quarter simultaneously. What is the probability that he will roll a 2 and the quarter will
come up tails?
A.
B.
C.
D.
110. The tree diagram below illustrates the possible outcomes of two tosses of a balanced
coin.
What is the probability that tails will come up both times?
A.
B.
C.
D. 1
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111. Jeremy wants nuts and fruit as a snack. He has a choice of either almonds or pecans. He
can choose either cherries or grapes to complete his snack. Which list shows all possible
combinations of one type of nut and one type of fruit Jeremy can choose from?
A. (Almonds, Cherries), (Almonds, Grapes), (Pecans, Grapes)
B. (Almonds, Grapes), (Pecans, Cherries), (Almonds, Cherries)
C. (Almonds, Grapes), (Pecans, Cherries), (Almonds, Cherries), (Pecans, Grapes)
D. (Almonds, Cherries), (Pecans, Grapes), (Cherries, Grapes), (Almonds, Pecans)
112. Ryan checked out 3 books from the library: one mystery (M), one history book (H), and
one biography (B). Which tree diagram shows all the possible orders in which Ryan can
read the 3 books?
A.
B.
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C.
D.
113. Approximately 4 out of every 6 students in Chloe’s class own pets. Chloe designed a
simulation to model data for 25 students.
• Chloe used a number cube with a different digit from 1 through 6 on each face.
• The digits 1 through 4 represent students who own pets, and the digits 5 and 6 represent students
who do not own pets.
• Chloe rolled the number cube 25 times.
The results of the simulation are shown below.
5
5
3
3
1
1
2
3
2
6
6
6
6
2
1
4
3
6
2
5
4
5
5
3
2
Based on the results of the simulation, out of 240 students in Chloe’s school, what
number of students would be expected to own pets?
A. 80
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B. 96
C. 144
D. 160
114. Each morning Mr. Elliot rides a city bus to work, and each afternoon he rides a different
city bus home from work. He knows from experience that the morning bus is late 20% of
the time, and the afternoon bus is late 40% of the time. Which simulation could Mr. Elliot
use to determine the probability that both buses will be late on the same day?
A. Randomly select 1 card from a set of cards. The set contains 3 pink cards and 7 green
cards.
B. Randomly select 1 card from a set of cards. The set contains 3 pink cards and 10 green
cards.
C. Randomly select 1 card from each of two sets of cards. One set contains 1 pink card and 4
green cards, and the other set contains 2 pink cards and 3 green cards.
D. Randomly select 1 card from each of two sets of cards. One set contains 1 pink card and 5
green cards, and the other set contains 2 pink cards and 5 green cards.
115. Let J = {1, 2, 3, 4, . . . } in the Universe U = {0, 1, 2, 3, 4, . . .}. Which set is the complement
of J?
A. Ø
B.
C. {1, 2, 3, 4, . . .}
D. {0, 1, 2, 3, 4, . . .}
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116. The expression
represents the area of a certain square in square
centimeters. Which expression represents the length of a side of the square in
centimeters?
A.
B.
C.
D.
117. A group of students from the senior class who had part time jobs were surveyed to find
out their hourly salaries. The table below shows the number of students earning each of
the different hourly salaries.
Student Salaries
Number of
Students
Hourly Salary
8
$5.25
3
$5.50
2
$5.85
1
$5.90
4
$6.15
2
$6.75
3
$7.50
What was the median hourly salary of the students surveyed?
A. $5.25
B. $5.85
C. $5.90
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D. $5.94
118. Tom had nine balloons; two of the balloons popped. Which number sentence shows how
many balloons Tom has now?
A.
B.
C.
119. A student made the following conjecture.
All circles centered at the origin are similar to the unit circle, which represents
Which argument provides the best response to this conjecture?
A. In similar figures, corresponding angles are congruent.
Circles do not have angles.
Therefore, circles cannot be similar.
B. Two figures are similar if they match up when placed on top of each other.
If a circle is centered at the origin but has a
it cannot match up with a unit circle.
Therefore, the two circles cannot be similar.
C. A general circle, centered at the origin with Radius r, has an equation of the form
If r > 1, then the unit circle lies inside the general circle; if 0 <>r
In both cases, the circles stack inside each other.
Therefore, they are similar.
D. A general circle, centered at the origin with Radius r, has an equation of the form
A unit circle has Radius 1. Therefore, the ratio of the two radii is or r.
When a size change of Magnitude r is applied to the unit circle, the unit circle maps onto the
general circle.
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Therefore, the two circles are similar.
120. Which of the following problems is solved correctly?
A.
B.
C.
D.
121. The graphing calculator screen displays data on the outdoor temperature in degrees
Fahrenheit over several hours on a winter day. The horizontal axis represents time.
What does the graph indicate about the outdoor temperature over time?
A. It got warmer at a constant rate, and then colder at a decreasing rate.
B. It got warmer at a constant rate, and then colder at an increasing rate.
C. It got warmer at an increasing rate, and then colder at a decreasing rate.
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D. It got warmer at an increasing rate, and then colder at an increasing rate.
122. Pablo is ordering photos, where the cost of the first sheet of photos is $20 and each
additional sheet is priced at $4. Which equation models how Pablo could calculate the
average (A) cost per sheet based on the number (n) of sheets purchased?
A.
B.
C.
D.
123. Wally saw seven turtles while visiting the zoo. Marta saw five turtles.
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Which number sentence shows the sum of the turtles they saw?
A.
B.
C.
124.
Which decimal is equivalent to
?
A. 0.200
B. 0.425
C. 0.750
D. 0.850
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125. Four students have different amounts of ice cream to serve at the school carnival.
• Dawn has 1 gallon.
• Marty has 6 quarts.
• Petra has 10 pints.
• Veronica has 10 cups.
Which student has the greatest amount of ice cream?
A. Dawn
B. Marty
C. Petra
D. Veronica
126. An athlete ran 10 times around the circular track shown below.
Approximately how many meters did the athlete run?
A. 500
B. 1570
C. 1963
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D. 7850
127. The equation for Circle T is
Which of the following shows the location
of the center of Circle, T, and the radius of this circle?
A. T is located at
radius = 9
B. T is located at
radius = 9
C. T is located at
radius = 81
D. T is located at
radius = 81
128. What is the area of the shaded region?
A. 20 square units
B. 26 square units
C. 32 square units
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D. 39 square units
129. What would be the 8th term in the sequence 3, 6, 9, . . . ?
A. 18
B. 21
C. 24
D. 27
130. Using the binomial theorem, what is the expanded form of
A.
B.
C.
D.
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