Math Management Software
Grade 7
Second Edition
Texas Standards - Aligned
Library Guide
Renaissance Learning
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Welcome
Thank you for purchasing this Accelerated Math Library. Libraries include the objectives for a
specific grade level, math subject, state requirements, or textbook. Each library includes
enough objectives to cover a complete year of math. Libraries are designed to follow common
curriculum guidelines and the content of widely used math textbooks.
Libraries are the source of the problems that appear on the assignments and tests you print for
your classes. Within each library, closely related problems are grouped by objective. This
Library Guide includes the topics covered by the library, the objectives related to each topic,
and sample problems from each objective.
To install the library, use the instructions you received. You can also find instructions in the
Accelerated Math Software Manual. If you have any questions about libraries or installation,
please email us at [email protected].
Contents
Topic 1 - Number Sense and Operations.........................................................1
Obj. 1 - Order positive rational numbers ................................................1
Obj. 2 - Multiply a proper fraction by a whole number using
a model ....................................................................................................1
Obj. 3 - Multiply a proper fraction by a whole number ..........................2
Obj. 4 - Multiply a fraction by a fraction.................................................2
Obj. 5 - Multiply a mixed number by a whole number...........................3
Obj. 6 - Multiply a mixed number by a fraction .....................................3
Obj. 7 - Multiply a mixed number by a mixed number ..........................3
Obj. 8 - Determine the reciprocal of a whole number, a
proper fraction, or an improper fraction ................................................3
Obj. 9 - Determine the reciprocal of a mixed number............................4
Obj. 10 - Divide a whole number by a fraction, with a whole
number quotient using a model ..............................................................4
Obj. 11 - Divide a whole number by a fraction, with a whole
number quotient......................................................................................5
Obj. 12 - Divide a fraction by a whole number resulting
in a fractional quotient ............................................................................5
Obj. 13 - Divide a fraction by a fraction ..................................................5
Obj. 14 - Divide a whole number by a fraction resulting
in a fractional quotient ............................................................................5
Obj. 15 - Divide a mixed number by a fraction .......................................6
Obj. 16 - Divide a mixed number by a mixed number ............................6
Obj. 17 - WP: Use a numerical expression to represent a
situation involving fraction multiplication and/or division...................6
Obj. 18 - WP: Multiply or divide a fraction by a fraction........................7
Obj. 19 - WP: Multiply or divide two mixed numbers or a
mixed number and a fraction..................................................................7
Obj. 20 - WP: Solve a 2-step problem involving fractions .....................8
Obj. 21 - Estimate the product of a fraction and a whole
number ....................................................................................................8
Obj. 22 - Estimate the quotient of a whole number divided
by a fraction .............................................................................................9
Obj. 23 - WP: Estimate the result of dividing or multiplying
a whole number by a fraction..................................................................9
Obj. 24 - Multiply a decimal number greater than one by
a decimal number to thousandths that has only 1 nonzero digit............9
Obj. 25 - Multiply decimal numbers greater than one where
the product has 2 or 3 decimal places.....................................................10
Obj. 26 - WP: Multiply two decimal numbers to thousandths...............10
Obj. 27 - Divide a 1- to 3-digit whole number by a decimal number to
tenths where the quotient is a decimal number to thousandths............10
Obj. 28 - Divide a 2- or 3-digit whole number by a decimal
number to hundredths or thousandths, rounded quotient if needed ....11
Obj. 29 - Divide a decimal number by a decimal number through
thousandths, rounded quotient if needed...............................................11
Obj. 30 - WP: Divide a whole number by a decimal number
through thousandths, rounded quotient if needed.................................11
Obj. 31 - WP: Divide a decimal through thousandths by a
decimal through thousandths, rounded quotient if needed ...................11
Obj. 32 - WP: Estimate the quotient of two decimals.............................12
Obj. 33 - WP: Use a numerical expression to represent a
situation involving decimal multiplication and/or division...................12
Obj. 34 - WP: Solve a 2-step problem involving decimals......................13
Obj. 35 - Determine the whole number that can be squared
to make a given number ..........................................................................13
Obj. 36 - Evaluate the positive square root of a perfect
square ......................................................................................................13
Obj. 37 - Determine the exponential notation that represents
a repeated multiplication ........................................................................13
Obj. 38 - Determine the repeated multiplication that is
represented by a number raised to a power............................................14
Obj. 39 - Evaluate a whole number power of a whole number ..............14
Obj. 40 - Determine an exponential form of a whole number ...............14
Obj. 41 - Evaluate an expression containing the fraction
bar as the division sign ............................................................................14
Obj. 42 - Evaluate a numerical expression, with parentheses
and exponents, using order of operations ..............................................15
Obj. 43 - Convert a decimal number to a percentage greater
than 100% ................................................................................................15
Obj. 44 - Convert a percentage to a decimal number greater
than 1 .......................................................................................................15
Obj. 45 - Convert a decimal number in thousandths to a
percentage................................................................................................15
Obj. 46 - Convert a percentage to a decimal number in thousandths....16
Obj. 47 - Convert a mixed number to a percentage ................................16
Obj. 48 - Convert a percentage to a mixed number................................16
Obj. 49 - Determine a percent of a whole number using less
than 100% ................................................................................................16
Obj. 50 - Determine a percent of a whole number using more
than 100% ................................................................................................17
Obj. 51 - Determine the percent a whole number is of another
whole number, with a result less than 100% ..........................................17
Obj. 52 - Determine a whole number given a part and a percentage
less than 100% .........................................................................................17
Obj. 53 - WP: Determine a percent of a whole number using
less than 100% .........................................................................................17
Obj. 54 - WP: Determine the percent a whole number is of
another whole number, with a result less than 100%.............................18
Obj. 55 - WP: Determine a whole number given a part and
a percentage.............................................................................................18
Obj. 56 - WP: Determine the percent of decrease applied
to a number..............................................................................................18
Obj. 57 - WP: Determine the percent of increase applied
to a number..............................................................................................19
Obj. 58 - WP: Determine the result of applying a percent
of decrease to a value...............................................................................19
Obj. 59 - WP: Determine the result of applying a percent
of increase to a value ...............................................................................19
Obj. 60 - WP: Answer a question involving a fraction and
a percent ..................................................................................................20
Obj. 61 - WP: Answer a question involving a fraction and
a decimal..................................................................................................20
Obj. 62 - WP: Solve a multi-step problem involving decimal
numbers...................................................................................................21
Obj. 63 - WP: Solve a multi-step problem involving fractions
or mixed numbers ...................................................................................21
Obj. 64 - Evaluate the absolute value of an integer ................................22
Obj. 65 - Determine the opposite of an integer ......................................22
Obj. 66 - Compare two negative integers or a negative integer
and a positive integer ..............................................................................22
Obj. 67 - Order negative integers or a mix of positive
and negative integers...............................................................................22
Obj. 68 - Add integers using a number line ............................................23
Obj. 69 - Add integers using a model ......................................................23
Obj. 70 - Add integers..............................................................................24
Obj. 71 - Subtract integers using a number line......................................24
Obj. 72 - Subtract integers.......................................................................24
Obj. 73 - WP: Add and subtract using integers.......................................24
Obj. 74 - Multiply integers ......................................................................25
Obj. 75 - Divide integers..........................................................................25
Obj. 76 - WP: Multiply or divide integers ...............................................25
Obj. 77 - WP: Determine the ratio of two whole numbers,
at least one of which is larger than 50 ....................................................26
Obj. 78 - Determine ratios equivalent to a given ratio
of two whole numbers, at least one of which is larger than 50 ..............26
Obj. 79 - WP: Determine a part, given part to whole ratio
and the whole, where the whole is greater than 50 ................................26
Obj. 80 - WP: Determine a part, given part to part ratio
and the whole, where the whole is greater than 50 ................................27
Obj. 81 - WP: Determine a part, given part to whole ratio
and a part, where the whole is greater than 50.......................................27
Obj. 82 - WP: Determine a part, given part to part ratio
and a part, where the whole is greater than 50.......................................28
Obj. 83 - WP: Determine the whole, given part to whole
ratio and a part, where the whole is greater than 50 ..............................28
Obj. 84 - WP: Determine the whole, given part to part ratio
and a part, where the whole is greater than 50.......................................28
Obj. 85 - WP: Determine a unit rate .......................................................29
Obj. 86 - WP: Use a unit rate to solve a problem....................................29
Topic 2 - Algebra..............................................................................................30
Obj. 87 - Evaluate a rational expression involving variables
with two or more terms in the numerator or denominator....................30
Obj. 88 - Evaluate a 1-variable expression, with two or
three operations, using integer substitution...........................................30
Obj. 89 - Evaluate a 2-variable expression, with two or
three operations, using integer substitution...........................................30
Obj. 90 - Evaluate an algebraic expression involving whole
number exponents...................................................................................30
Obj. 91 - WP: Evaluate a variable expression .........................................31
Obj. 92 - WP: Evaluate a variable expression involving
exponents.................................................................................................31
Obj. 93 - Answer a question involving algebraic terminology................32
Obj. 94 - Use a variable expression to represent the relationship
between the terms and their positions in an arithmetic sequence.........32
Obj. 95 - Use a variable expression with two operations
to represent a table of paired numbers ...................................................32
Obj. 96 - WP: Use a 2-variable expression to represent
a situation ................................................................................................33
Obj. 97 - WP: Use direct variation to solve a problem............................33
Obj. 98 - Solve a 1-step linear equation involving integers ....................34
Obj. 99 - Use a model to solve a 2-step linear equation
involving integers ....................................................................................34
Obj. 100 - Solve a 2-step linear equation involving integers..................34
Obj. 101 - WP: Use a 1-variable 1-step equation to represent
a situation ................................................................................................35
Obj. 102 - Use a table to represent a linear function ..............................35
Obj. 103 - Use a graph to represent the ordered pairs in
a function table ........................................................................................36
Obj. 104 - Determine the graph of a 1-operation linear
function....................................................................................................38
Topic 3 - Geometry and Measurement............................................................40
Obj. 105 - Convert between Fahrenheit and Celsius temperature
given a formula ........................................................................................40
Obj. 106 - Determine the circumference of a circle using
22/7 for pi ................................................................................................40
Obj. 107 - Determine the circumference of a circle in terms
of pi ..........................................................................................................40
Obj. 108 - Solve a problem involving the circumference
of a circle..................................................................................................41
Obj. 109 - Determine the area of a trapezoid..........................................41
Obj. 110 - Estimate the area of an irregular shape or a
circle on a grid .........................................................................................42
Obj. 111 - Determine the area of a circle in terms of pi...........................42
Obj. 112 - Determine the area of a circle using 3.14 for
pi ..............................................................................................................43
Obj. 113 - Determine the area of a circle using 22/7 for
pi ..............................................................................................................43
Obj. 114 - WP: Determine the area of a circle using 3.14
for pi.........................................................................................................44
Obj. 115 - Solve a problem given the area of a circle...............................44
Obj. 116 - Determine the volume of a rectangular or a triangular
prism........................................................................................................44
Obj. 117 - Determine the volume of a cylinder........................................45
Obj. 118 - WP: Determine the volume of a cylinder................................46
Obj. 119 - WP: Solve a problem involving the volume of
a geometric solid......................................................................................47
Obj. 120 - Determine the net of the surface area of a 3-dimensional
figure........................................................................................................49
Obj. 121 - Determine the graph of the relationship between
measurements in a geometric shape.......................................................50
Obj. 122 - Identify corresponding parts of congruent shapes ................54
Obj. 123 - Identify congruent shapes given side and angle
measures..................................................................................................55
Obj. 124 - Determine a missing dimension given two congruent
shapes ......................................................................................................56
Obj. 125 - Identify similar polygons ........................................................58
Obj. 126 - Determine the scale for a drawing or map question ..............59
Obj. 127 - WP: Solve a problem involving a map or scale
drawing ....................................................................................................60
Obj. 128 - Convert a rate from one unit to another with
a change in one unit ................................................................................61
Obj. 129 - Convert a rate from one unit to another with
a change in both units .............................................................................61
Obj. 130 - Determine approximate conversions between metric
and customary units of length.................................................................61
Obj. 131 - Determine approximate conversions between metric
and customary units of capacity..............................................................61
Obj. 132 - Determine approximate conversions between metric
and customary units of weight/mass ......................................................62
Obj. 133 - Identify vertical, adjacent, complementary,
or supplementary angles .........................................................................62
Obj. 134 - Determine the measure of a missing angle using
angle relationships ..................................................................................63
Obj. 135 - Classify a triangle by its sides and angles...............................64
Obj. 136 - Know the properties of a triangle or a quadrilateral..............65
Obj. 137 - Determine the location of an ordered pair in
any quadrant............................................................................................65
Obj. 138 - Determine the ordered pair of a point in any
quadrant ..................................................................................................66
Obj. 139 - Determine the location of a simple shape on
the Cartesian plane given the coordinates of its vertices........................67
Obj. 140 - Determine the coordinates of a missing point
determined by geometric information ....................................................68
Obj. 141 - Determine a side length of a shape on the Cartesian
plane ........................................................................................................69
Obj. 142 - Determine the area of a shape on the Cartesian
plane ........................................................................................................70
Obj. 143 - Determine the graph of a reflection or a translation .............71
Obj. 144 - Visualize a 2-dimensional shape ............................................73
Obj. 145 - Identify attributes of a 3-dimensional shape .........................73
Obj. 146 - Compare attributes of 3-dimensional shapes ........................73
Obj. 147 - Relate a 3-dimensional shape to its top and
side views.................................................................................................74
Topic 4 - Data Analysis, Statistics, and Probability ........................................76
Obj. 148 - Answer a question using information from a circle
graph using percentage calculations .......................................................76
Obj. 149 - Use a circle graph to organize data ........................................77
Obj. 150 - Read a double stem-and-leaf plot ..........................................80
Obj. 151 - Answer a question using information from a double
stem-and-leaf plot ...................................................................................81
Obj. 152 - Answer a question using information from a Venn
diagram containing summarized data ....................................................82
Obj. 153 - Determine the mean of a set of data.......................................83
Obj. 154 - Determine the mode(s) of a set of data ..................................83
Obj. 155 - Determine the median of a set of data....................................83
Obj. 156 - WP: Use the mean of a data set to solve a problem ...............84
Obj. 157 - Use a proportion to make an estimate, related
to a population, based on a sample.........................................................84
Obj. 158 - Determine all possible outcomes of an event.........................85
Obj. 159 - Determine the probability for independent events................87
Topic 1 - Number Sense and Operations
Obj. 1 - Order positive rational numbers
1. Which list shows the numbers in order from least to greatest?
[A]
16
12
, 0.715,
23
17
[B]
12 16
,
, 0.715
17 23
[C]
16 12
,
, 0.715
23 17
[D] 0.715,
12 16
,
17 23
2. Which list shows the numbers in order from greatest to least?
[A] 0.278, 27%,
5
19
[B] 0.278,
5
, 27%
19
[C] 27%, 0.278,
5
19
[D] 27%,
5
, 0.278
19
Obj. 2 - Multiply a proper fraction by a whole number using a model
3. There are 12 circles. Separate the circles into 4 equal groups to find
[A] 12
[B] 2
[C] 48
1
1
× 12.
4
[D] 3
Topic 1 - Number Sense and Operations
4. Find
[A]
2
× 9. Shade 2 equal strips in each square. How many sixths are shaded?
6
18
6
[B]
8
6
[C]
9
6
[D]
19
6
Obj. 3 - Multiply a proper fraction by a whole number
5. Multiply:
[A] 1
6
×2
7
1
7
[B] 1
6. Multiply: 68 ×
[A] 20
(Simplify the answer if possible.)
2
7
3
7
5
7
[C] 2
5
7
[D] 3
5
7
(Simplify the answer if possible.)
[B] 97
3
7
[C] 19
3
7
[D] 10
Obj. 4 - Multiply a fraction by a fraction
7. Multiply:
3 1
×
4 3
[A]
2
9
[B]
1
12
[C]
1
4
[D]
1
5
8. Multiply:
5 7
×
8 18
[A]
35
144
[B]
23
96
[C]
7
24
[D]
35
153
2
Topic 1 - Number Sense and Operations
Obj. 5 - Multiply a mixed number by a whole number
9. Multiply: 10 × 1
10. Multiply: 9
1
5
17
× 36
18
[A] 9
1
5
[A] 324
[B] 10
17
18
1
5
[C] 12
[B] 358
[C] 333
[D] 13
17
18
[D] 356
Obj. 6 - Multiply a mixed number by a fraction
11. Multiply:
4
10
×5
5
11
[A] 4
12. Multiply:
11
4
×4
16
11
[A] 1
[B] 5
3
16
8
11
[B] 3
[C] 4
6
11
[D] 4
8
11
[C] 1
7
8
[D] 2
153
176
[C] 8
1
8
[D] 8
1
12
Obj. 7 - Multiply a mixed number by a mixed number
7
1
13. Multiply: 1 × 4
8
3
14. Multiply: 10
[A] 4
10
1
×6
11
20
1
3
[B] 4
[A] 65
9
20
7
24
[B] 66
[C] 60
1
22
[D] 60
1
20
Obj. 8 - Determine the reciprocal of a whole number, a proper fraction, or an improper
fraction
15. What is the reciprocal of 10?
16. What is the reciprocal of
10
?
7
[A] 100
[A]
100
49
3
[B] –10
[B]
7
10
[C] −
1
10
[D]
1
10
[C] −
10
7
[D] −
7
10
Topic 1 - Number Sense and Operations
Obj. 9 - Determine the reciprocal of a mixed number
1
17. What is the reciprocal of 3 ?
3
18. What is the reciprocal of 3
8
?
19
[A]
10
3
[A]
3
10
[B]
19
64
[B]
[C]
19
30
3
11
[C]
[D]
65
19
3
13
[D]
19
65
Obj. 10 - Divide a whole number by a fraction, with a whole number quotient using a
model
3
19. Use the diagram to find 3 ÷ .
5
1
1
[A] 4
[B] 5
[C]
6
5
[D]
5
3
1
3
5
5
20. Use the number line to find 5 ÷ .
6
5
6
0
[A]
1
6
1
2
3
4
[B] 5
[C] 6
4
5
[D]
1
5
Topic 1 - Number Sense and Operations
Obj. 11 - Divide a whole number by a fraction, with a whole number quotient
21. Divide: 49 ÷
7
10
[A] 70
(Simplify the answer if possible.)
[B] 80
22. Divide: 60 ÷
5
6
[A] 78
[C] 34
3
10
[D]
1
70
[D]
1
72
(Simplify the answer if possible.)
[B] 72
[C] 50
Obj. 12 - Divide a fraction by a whole number resulting in a fractional quotient
23. Divide:
2
÷5
3
24. Divide:
3
÷7
16
[A]
2
15
[A]
10
3
[B]
1
32
[B]
[C]
21
16
1
9
[C]
[D]
3
112
15
2
112
3
[D]
Obj. 13 - Divide a fraction by a fraction
25. Divide:
3 5
÷
4 7
26. Divide:
3 2
÷
14 3
[A]
20
21
[A]
[B] 1
3
14
1
20
[B]
[C]
1
7
15
28
[D]
[C] 3
1
9
9
10
[D]
9
28
Obj. 14 - Divide a whole number by a fraction resulting in a fractional quotient
27. Divide: 11 ÷
28. Divide: 9 ÷
3
7
17
20
[A]
3
77
[A]
[B] 25
17
180
2
3
[B] 10
5
[C] 29
1
17
1
3
[C] 10
[D] 4
10
17
5
7
[D] 7
13
20
Topic 1 - Number Sense and Operations
Obj. 15 - Divide a mixed number by a fraction
29. Divide: 1
3 7
÷
11 11
[A] 3
7 4
÷
10 7
[A] 2
30. Divide: 4
[B] 2
24
35
[B] 7
[C] 2
21
44
[C]
1
5
[D]
40
329
98
121
[D] 8
9
40
Obj. 16 - Divide a mixed number by a mixed number
31. Divide: 1
3
7
÷4
20
16
[A] 3
79
92
[B]
92
355
[C] 5
33
320
[D]
46
175
32. Divide: 3
7
4
÷2
20
7
[A] 1
17
60
[B]
360
469
[C] 1
109
360
[D] 8
43
70
Obj. 17 - WP: Use a numerical expression to represent a situation involving fraction
multiplication and/or division
33. Carlota is making homemade salsa to give to her friends. She has jars that each hold
1
1
16 ounces of salsa. The recipe makes a total of 146 ounces of salsa. Which expression
4
4
represents the number of jars Carlota can fill with salsa?
1
1
[A] 16 × 146
4
4
1
1
[B] 146 − 16
4
4
1
1
[C] 16 ÷ 146
4
4
1
1
[D] 146 ÷ 16
4
4
3
of them have four-wheel drive. Which expression
7
represents the number of vehicles at the dealership that have four-wheel drive?
34. A car dealership has 105 vehicles and
[A]
3
÷ 105
7
[B] 105 ÷
3
7
[C] 105 +
6
3
7
[D] 105 ×
3
7
Topic 1 - Number Sense and Operations
Obj. 18 - WP: Multiply or divide a fraction by a fraction
35. For exercise, a student runs an average of
9
of a mile every day. Today, he only ran
10
1
of that distance. How far did the student run today?
2
[A]
9
mi
20
[B] 1
2
mi
5
[C]
36. When she wants to go downtown, a woman walks
5
mi
9
[D]
2
mi
5
1
mile to a bus stop and catches a city
5
4
mile to the bus stop to catch the city bus. How
5
many times did she catch the city bus last month?
bus. Last month, she walked a total of
[A] 9
[B] 3
[C] 5
[D] 4
Obj. 19 - WP: Multiply or divide two mixed numbers or a mixed number and a fraction
19
2 2
of the garden to grow
m . They are using
20
5
vegetables. How many square meters are being used to grow vegetables?
37. A family’s garden covers an area of 26
[A] 24
2
m2
25
[B] 25
9
m2
20
[C] 25
2
m2
25
[D]
38. To finish building cabinets, a carpenter needs to cut pieces of wood 19
carpenter will cut the pieces from a board that is 114
19
m2
528
1
inches long. The
8
3
inches long. How many pieces will
4
the carpenter be able to cut for the cabinets?
[A] 6
[B] 16
[C] 7
7
[D] 133
Topic 1 - Number Sense and Operations
Obj. 20 - WP: Solve a 2-step problem involving fractions
2
mile from a student’s home to a store and back. In a week, she walked to the store
3
and back home 1 time. In the same week, she rode her bike to the store and back
3 times. How many miles did she walk and ride to the store and back in that week?
39. It is
[A] 4 mi
[B] 1
1
mi
3
[C] 3
2
mi
3
[D] 2
2
mi
3
5
as much time at work as she
6
spent yesterday. How much time did she spend at work during both days?
40. A worker spent 9 hours at work yesterday. Today she spent
[A] 16
1
hr
2
[B] 15
1
hr
2
[C] 10
4
hr
5
[D] 7
1
hr
2
41. A school is gathering information about where students live. There are 263 male students
1
and 283 female students in the school. In all, of the students live west of the river. How
6
many students live west of the river?
[A] 43
[B] 91
[C] 1,578
[D] 455
Obj. 21 - Estimate the product of a fraction and a whole number
42. Which number is a reasonable estimate for
[A] 14
[B] 980
[C] 140
43. Which number is a reasonable estimate for
[A] 30
1
× 1,265?
9
[B] 120
2
× 355?
3
[C] 240
8
[D] 90
[D] 180
Topic 1 - Number Sense and Operations
Obj. 22 - Estimate the quotient of a whole number divided by a fraction
3
44. Which number is a reasonable estimate for 444 ÷ ?
4
[A] 550
[B] 330
[C] 350
[D] 600
4
45. Which number is a reasonable estimate for 75 ÷ ?
5
[A] 95
[B] 60
[C] 72
[D] 76
Obj. 23 - WP: Estimate the result of dividing or multiplying a whole number by a fraction
1
of the runners finished the course in
4
under four hours. Which number is a reasonable estimate of the number of participants
who finished in under four hours?
46. In a marathon with 477 participants, approximately
[A] 140
[B] 360
[C] 120
[D] 90
47. A wedding caterer has made 79 cups of fruit salad to serve to guests. A serving is
2
cup. Which value is a reasonable estimate of the number of guests the fruit salad will
3
serve?
[A] 120
[B] 162
[C] 180
[D] 69
Obj. 24 - Multiply a decimal number greater than one by a decimal number to thousandths
that has only 1 nonzero digit
48. Multiply: 0.6 × 6.63
49.
4.69
× 0.004
[A] 397.8
[A] 0.1876
[B] 0.3978
[B] 0.01876
9
[C] 3.978
[C] 0.00188
[D] 39.78
[D] 1.876
Topic 1 - Number Sense and Operations
Obj. 25 - Multiply decimal numbers greater than one where the product has 2 or 3 decimal
places
50. Multiply: 7.3 × 12
.
[A] 9.76
[B] 0.876
[C] 8.86
[D] 8.76
51. Multiply: 6.77 × 7.8
[A] 5,280.6
[B] 52.806
[C] 52.816
[D] 528.06
52.
1101
.
× 231
.
[A] 254.321
[B] 25,433.1
[C] 254.33
[D] 254.331
Obj. 26 - WP: Multiply two decimal numbers to thousandths
53. Adam has 4.2 ounces of applesauce for lunch. Each ounce of the applesauce contains
0.45 g of fiber. How much fiber is contained in the applesauce?
[A] 0.89 g
[B] 0.9 g
[C] 1.89 g
[D] 2.7 g
54. One pound of the potting soil Rachel is using has a volume of 0.27 cubic feet. She puts
1.87 pounds of potting soil into a pot. What is the volume of the soil in the pot?
[A] 0.270 ft 3
[B] 0.809 ft 3
[C] 0.505 ft 3
[D] 0.909 ft 3
55. One cubic inch of the copper an artist is using weighs 0.322 pounds. The artist uses
33.4 cubic inches of copper to make a small statue. What is the weight of the statue?
[A] 10.755 lb
[B] 14.626 lb
[C] 9.988 lb
[D] 14.726 lb
Obj. 27 - Divide a 1- to 3-digit whole number by a decimal number to tenths where the
quotient is a decimal number to thousandths
56. Divide: 11 ÷ 0.4
[A] 28.5
[B] 2.75
[C] 27.5
[D] 2.85
57. Divide: 63 ÷ 4.8
[A] 131.25
[B] 13.125
[C] 14.125
[D] 141.25
58. Divide: 501 ÷ 16
.
[A] 313.125
[B] 31.4125
[C] 314.125
[D] 31.3125
10
Topic 1 - Number Sense and Operations
Obj. 28 - Divide a 2- or 3-digit whole number by a decimal number to hundredths or
thousandths, rounded quotient if needed
59. Divide: 89 ÷ 0.04
[A] 21,250
[B] 2,225
[C] 2,125
[D] 22,250
60. Divide: 732 ÷ 0.2
[A] 36,600
[B] 3,560
[C] 3,660
[D] 35,600
61. Divide: 731 ÷ 0.89
[A] 921.348
[B] 821.035
[C] 821.348
[D] 821.304
Obj. 29 - Divide a decimal number by a decimal number through thousandths, rounded
quotient if needed
62. Divide: 3.982 ÷ 0.07
[A] 5.786
[B] 56.875
[C] 0.775
[D] 56.886
63. Divide: 0.979 ÷ 0.036
[A] 2.093
[B] 27.194
[C] 0.084
[D] 27.184
Obj. 30 - WP: Divide a whole number by a decimal number through thousandths, rounded
quotient if needed
64. A soap maker has 12 ounces of cinnamon oil. Her soap recipe calls for 0.8 ounces of
cinnamon oil for each batch of soap. How many batches of soap can she make using the
cinnamon oil she has?
[A] 96
[B] 150
[C] 20
[D] 15
65. Jack has $32.00. He is buying apples for $0.75 a pound. To the nearest pound, what is the
greatest number of pounds of apples Jack can buy?
[A] 426 lb
[B] 43 lb
[C] 46 lb
[D] 24 lb
Obj. 31 - WP: Divide a decimal through thousandths by a decimal through thousandths,
rounded quotient if needed
66. A rectangular strip of land between a street and a parking lot has been completely covered
with grass by using 55.66 m2 of sod. The strip of land is 2.3 m wide. How long is the strip
of land?
[A] 24.5 m
[B] 242 m
[C] 24.2 m
11
[D] 128 m
Topic 1 - Number Sense and Operations
67. The plastic used in making one compact disk weighs 0.56 ounce. What is the greatest
number of compact disks that can be made from a 684.6-ounce supply of this plastic?
[A] 12,220
[B] 1,222
[C] 383
[D] 1,226
68. A company packages pencil lead for mechanical pencils. The pencil lead is packaged in
lengths of 0.025 m. How many of these shorter pieces can be cut from a strip of pencil lead
that is 1.575 m long?
[A] 63
[B] 41
[C] 39
[D] 15
Obj. 32 - WP: Estimate the quotient of two decimals
69. For an experiment, the teacher wants to equip each lab station with 6.6 cm of magnesium
ribbon. There is a total of 205.3 cm of the ribbon. Which value is a reasonable estimate of
the number of lab stations that can be supplied with the magnesium ribbon?
[A] 20
[B] 30
[C] 45
[D] 55
70. Lucy has a jar of dimes. The contents of the jar have a mass of 1.54 kg. A single dime has
a mass of about 0.0023 kg. Which number is a reasonable estimate of the number of dimes
in the bowl?
[A] 400
[B] 40
[C] 800
[D] 8,000
Obj. 33 - WP: Use a numerical expression to represent a situation involving decimal
multiplication and/or division
71. Sonia drove her compact car 100 miles to visit her relatives. The car averaged
37.6 miles per gallon of gas. Which expression shows how to find the number of gallons of
gas the car used?
[A] 100 − 37.6
[B] 100 ÷ 37.6
[C] 37.6 × 100
[D] 37.6 ÷ 100
72. A food cart at a carnival sells pizza by the slice. One slice of pepperoni pizza costs
$3.45. On the first day, the food cart sold 125 slices of pepperoni pizza. Which expression
represents the total amount of money the food cart’s customers spent on pepperoni pizza
that day?
[A] 3.45 + 125
[B] 125 ÷ 3.45
[C] 125 − 3.45
12
[D] 3.45 × 125
Topic 1 - Number Sense and Operations
Obj. 34 - WP: Solve a 2-step problem involving decimals
73. Juanita is doing research for an article she is writing on hiking in the mountains. She hiked
3.2 km the first day and 5.5 km the second day. What was the average distance she hiked
each day?
[A] 4.4 km
[B] 9.4 km
[C] 8.7 km
[D] 2.3 km
74. A certain washer is made from a solid disk of metal that has a mass of 53.1 g. A hole is
stamped in the disk, and 25.8 g of metal is removed. What is the total mass of 300 of these
washers?
[A] 15,904.2 g
[B] 378.9 g
[C] 8,190 g
[D] 81,900 g
Obj. 35 - Determine the whole number that can be squared to make a given number
75. A whole number was squared. The result was 64. What was the original number?
[A] 8
[B] 4
[C] 32
[D] 128
76. A whole number was squared. The result was 144. What was the original number?
[A] 6
[B] 288
[C] 72
[D] 12
Obj. 36 - Evaluate the positive square root of a perfect square
77. Evaluate: 9
78. Evaluate: 144
[A] 4.5
[B] 6
[A] 12
[C] 3
[B] 10
[C] 6
[D] 0.3
[D] 72
Obj. 37 - Determine the exponential notation that represents a repeated multiplication
79. Which expression is equivalent to 7 ⋅ 7?
[A] 7 3
[B] 7 ⋅ 2
[C] 2 7
80. Which expression is equivalent to 7 ⋅ 7 ⋅ 7 ⋅ 7 ⋅ 7 ⋅ 7?
[A] 7 6
[B] 7 5
[C] 6 7
13
[D] 7 ⋅ 6
[D] 7 2
Topic 1 - Number Sense and Operations
Obj. 38 - Determine the repeated multiplication that is represented by a number raised to a
power
81. Which expression can be represented by 34 ?
[A] 3 ⋅ 4
[B] 3 ⋅ 3 ⋅ 3
[C] 3 ⋅ 3 ⋅ 3 ⋅ 3
[D] 4 ⋅ 4 ⋅ 4
82. Which expression can be represented by 37 ?
[A] 3 ⋅ 3 ⋅ 3 ⋅ 3 ⋅ 3 ⋅ 3
[B] 3 ⋅ 3 ⋅ 3 ⋅ 3 ⋅ 3 ⋅ 3 ⋅ 3
[C] 7 ⋅ 7 ⋅ 7
[D] 3 ⋅ 7
Obj. 39 - Evaluate a whole number power of a whole number
83. Evaluate: 45
[A] 4,096
[B] 20
[C] 1,024
[D] 625
84. Evaluate: 107
[A] 1,000,000
[B] 10,000,000
[C] 100,000,000
[D] 100,000
Obj. 40 - Determine an exponential form of a whole number
85. 81 =
[A] 34
86. 1,000,000,000 =
[B] 4 3
[A] 810
[B] 109
[C] 53
[C] 108
[D] 35
[D] 910
Obj. 41 - Evaluate an expression containing the fraction bar as the division sign
87. Evaluate:
24
6−2
[A] 6
[B] 2
[C] 8
[D] 7
88. Evaluate:
20 − 8
4−2
[A] 7
[B] 6
[C] 2
[D] 1
14
Topic 1 - Number Sense and Operations
Obj. 42 - Evaluate a numerical expression, with parentheses and exponents, using order of
operations
b
89. Evaluate: FGH19 − 32 IJK + 11 ÷ 2
b
g
90. Evaluate: 10 ÷ 3 + 16 − 6
b
g
2
g
91. Evaluate: 14 − 4 ⋅ 17 + 83
[A] 21
1
2
[A] 103
[A] 444
[B] 15
1
3
1
2
[B] 177
[B] 458
[C] 2
7
9
1
2
[C] 15
[C] 746
[D] 10
2
3
[D] 36
[D] 682
Obj. 43 - Convert a decimal number to a percentage greater than 100%
92. What percentage can be written as 1.56?
[A] 100.56%
[B] 0.0156%
[C] 1,560%
[D] 156%
[C] 374%
[D] 3,740%
93. What percentage can be written as 3.74?
[A] 0.0374%
[B] 300.74%
Obj. 44 - Convert a percentage to a decimal number greater than 1
94. What decimal can be written as 283%?
[A] 2.38
[B] 0.283
[C] 2.83
[D] 28.3
[C] 54.3
[D] 534.0
95. What decimal can be written as 534%?
[A] 5.34
[B] 53.4
Obj. 45 - Convert a decimal number in thousandths to a percentage
96. What is 0.215 as a percent?
[A] 0.215%
[B] 0.0215%
[C] 215%
[D] 21.5%
[C] 557.6%
[D] 55,760%
97. What is 5.576 as a percent?
[A] 55.76%
[B] 5,576%
15
1
2
2
3
Topic 1 - Number Sense and Operations
Obj. 46 - Convert a percentage to a decimal number in thousandths
98. What is 69.1% as a decimal?
[A] 0.619
[B] 6.190
[C] 6.910
[D] 0.691
99. What is 532.8% as a decimal?
[A] 53.280
[B] 5.328
[C] 5.382
[D] 0.533
Obj. 47 - Convert a mixed number to a percentage
100. What is 4
2
written as a percent?
5
[A] 44%
[B] 404%
101. What is 4
21
written as a percent?
25
[A] 4.84%
[B] 484%
[C] 440%
[D] 4.4%
[C] 0.484%
[D] 48.4%
Obj. 48 - Convert a percentage to a mixed number
102. Which number can be used to represent 565%?
[A] 5
13
20
[B]
113
200
[C] 56
1
5
[D] 56
1
2
23
100
[D] 12
3
10
103. Which number can be used to represent 123%?
[A]
123
1,000
[B] 1
23
100
[C] 10
Obj. 49 - Determine a percent of a whole number using less than 100%
104. What is 73% of 78?
[A] 7.8
[B] 10.14
[C] 569.4
[D] 56.94
105. What is 22% of 249?
[A] 54.78
[B] 5.478
[C] 5,478
[D] 8.84
16
Topic 1 - Number Sense and Operations
Obj. 50 - Determine a percent of a whole number using more than 100%
106. What is 119% of 44?
[A] 27.04
[B] 270.45
107. What is 348% of 939?
[A] 3,267.72
[B] 269.83
[C] 52.36
[C] 3.71
[D] 36.97
[D] 37.06
Obj. 51 - Determine the percent a whole number is of another whole number, with a result
less than 100%
108. What percent of 50 is 18?
[A] 2.78%
[B] 36%
[C] 64%
[D] 9%
109. What percent of 6,050 is 1,089?
[A] 18%
[B] 556%
[C] 5.6%
[D] 0.18%
Obj. 52 - Determine a whole number given a part and a percentage less than 100%
110. 12 is 30% of what number?
111. 32% of what number is 157.44?
[A] 3.6
[B] 42
[A] 189.44
[C] 40
[B] 492
[D] 17
[C] 50.38
[D] 494
Obj. 53 - WP: Determine a percent of a whole number using less than 100%
112. Ben is planning to buy a computer that costs $825.00 retail. If he buys it online, he will
save 14%. How much will he save if he buys the computer online?
[A] $589.29
[B] $58.93
[C] $11.55
[D] $115.50
113. At a university, 71% of the students are undergraduates. If there are 6,400 students, how
many of them are undergraduates?
[A] 186
[B] 4,544
[C] 454
17
[D] 1,856
Topic 1 - Number Sense and Operations
Obj. 54 - WP: Determine the percent a whole number is of another whole number, with a
result less than 100%
114. A clothing store manager is comparing weekend and weekday sales. In the last week, the
store sold $5,832 worth of merchandise on the weekdays and $4,968 worth of merchandise
over the weekend. What percent of the merchandise was sold over the weekend?
[A] 56%
[B] 54%
[C] 46%
[D] 85%
115. At Franklin High School, 165 of the 375 seniors plan to attend a state college after they
graduate. What percent of the seniors plan to go to a state college after they graduate?
[A] 31%
[B] 44%
[C] 69%
[D] 23%
Obj. 55 - WP: Determine a whole number given a part and a percentage
116. A fruit-drink company tested some new flavors. Of the people who participated in the taste
test, 34% liked the new fruit-punch flavor. If 51 people liked the fruit-punch flavor, how
many people participated in the taste test?
[A] 150
[B] 77
[C] 34
[D] 17
117. Carisa planted petunias and marigolds in her yard. Of the flowers she planted, 80% were
marigolds. If she planted 20 marigolds, how many total flowers did Carisa plant?
[A] 100
[B] 25
[C] 400
[D] 16
Obj. 56 - WP: Determine the percent of decrease applied to a number
118. A coat that normally sells for $125 is on sale for $115. By what percent is the original cost
of the coat decreased?
[A] 13%
[B] 8%
[C] 10%
[D] 15%
119. Below a bridge on a coastal road, the water depth at high tide was 5.6 feet. At low tide, the
water depth was 1.4 feet. What percent of decrease in water depth occurred between high
tide and low tide?
[A] 75%
[B] 60%
[C] 20%
18
[D] 25%
Topic 1 - Number Sense and Operations
Obj. 57 - WP: Determine the percent of increase applied to a number
120. Rebecca is buying some books on the Internet. The books cost $25. With a shipping charge
applied, the total cost of buying the books is $28. By what percent does the shipping
charge increase the cost?
[A] 88%
[B] 12%
[C] 86%
[D] 14%
121. Nathaniel is training to run in a race. During the first week of training, he ran 6 miles. In
the fifth week of training, he was able to increase the distance he ran to 8.88 miles. By
what percent was he able to increase his running distance?
[A] 48%
[B] 68%
[C] 52%
[D] 32%
Obj. 58 - WP: Determine the result of applying a percent of decrease to a value
122. At a book store, Winona finds a used book that sells for 65% off of the cover price. The
cover price of the book is $8.95. How much will she pay for the book?
[A] $8.60
[B] $3.13
[C] $5.82
[D] $8.30
123. A new washing machine uses 20% less water than an older model. If a family uses
1,400 gallons of water per month to run the old washing machine, about how much water
will they use each month to run the new washing machine?
[A] 1,120 gal
[B] 840 gal
[C] 560 gal
[D] 280 gal
Obj. 59 - WP: Determine the result of applying a percent of increase to a value
124. A store purchases some shirts wholesale for $20.01 each. The store sells the shirts for 53%
more than the wholesale cost. How much does the store charge for each shirt?
[A] $9.40
[B] $30.62
[C] $29.41
[D] $10.61
125. Naldo owns a small store. The first month the store was open, he made $1,350 in profit.
During the next month, he advertised in the local newspaper and saw a 72% increase in
profit. How much profit did he make the second month?
[A] $972
[B] $378
[C] $1,728
19
[D] $2,322
Topic 1 - Number Sense and Operations
Obj. 60 - WP: Answer a question involving a fraction and a percent
1
of the team’s
2
points. His friend Raul scored 40% of the team’s points. What fraction of the team’s points
were scored by Jake and Raul?
126. Last weekend, Jake’s basketball team played in a tournament. Jake scored
[A]
1
20
[B]
9
10
[C]
1
8
[D]
1
2
127. On Tuesday, Arturo asked several students to name their favorite class. He found that 21%
2
of the students liked science class best and another of the students liked social studies
5
class best. What fraction of the students liked either science or social studies classes best?
[A]
4
21
[B]
19
100
[C]
61
100
[D]
5
21
Obj. 61 - WP: Answer a question involving a fraction and a decimal
128. Edward was running errands on his bike. First, he biked from his house to the post office
4
to pick up a package. The post office is 4 miles away from his house. Next, Edward
5
biked to the market for a cold drink. The market is 3.5 miles from the post office. His
mother picked him up at the market and drove him home. How many miles total did
Edward bike altogether?
[A] 8
3
mi
10
[B] 8
2
mi
5
[C] 1
31
mi
100
[D] 8
4
mi
5
129. A penny has a thickness of 0.155 cm. Gary places pennies into a tube until it is filled. How
2
many pennies are in the tube if the tube has a height of 12 cm?
5
[A] 12
[B] 13
[C] 77
20
[D] 80
Topic 1 - Number Sense and Operations
Obj. 62 - WP: Solve a multi-step problem involving decimal numbers
130. The Khani family drove to the beach for a vacation. They drove 2.75 hours at an average
speed of 43 miles per hour, 1.5 hours at an average speed of 53 miles per hour, and
3 hours at an average speed of 35 miles per hour before reaching the beach. How far did
the Khani family drive to get to the beach?
[A] 138.25 mi
[B] 197.75 mi
[C] 302.75 mi
[D] 230.25 mi
131. Nikos, Sean, Ricky, and Pedro each swam 2 laps in a relay race. Nikos swam his laps with
an average time of 37.25 seconds per lap. Sean swam his laps with an average time of
40.11 seconds per lap. After that, Ricky swam his laps with an average time of
39.62 seconds per lap. Finally, Pedro completed the relay with an average time of
36.25 seconds per lap. How long did it take the four swimmers to complete the relay?
[A] 306.46 s
[B] 612.92 s
[C] 153.23 s
[D] 155.23 s
Obj. 63 - WP: Solve a multi-step problem involving fractions or mixed numbers
132. The school band is practicing for their end-of-the-year performance. One week, the band
3
practiced after school 4 times for 2 hours each time. The next week, the band practiced
4
1
5 times for 3 hours each time. How many hours did the band practice these two weeks?
4
[A] 5
1
hr
4
[B] 15 hr
[C] 16
1
hr
4
[D] 27
1
hr
4
133. One week, Mr. Torres went to his health club on Monday, Wednesday, and Friday. Each
3
day he went to the club, he jogged on a treadmill for hour, lifted weights for
5
1
1
hour, and then cooled down by stretching for
hour. On Saturday, he rode his bike for
4
4
3
hour. How many hours did he spend riding his bike and exercising at her health club
4
that week?
[A] 4
1
hr
20
[B] 29
3
hr
5
[C] 5
21
11
hr
20
[D] 3
1
hr
20
Topic 1 - Number Sense and Operations
134. Mrs. Evans picked tomatoes from her garden to make 18 cups of chopped tomatoes. She
1
1
used 6 cups of the chopped tomatoes to make spaghetti sauce and 2 cups to make
3
2
some chili. She separated the remaining chopped tomatoes into 2 equal portions and froze
them. How many cups of tomatoes were in each portion that she froze?
[A] 4
5
cups
12
[B] 4
7
cups
12
[C] 3
7
cups
12
[D] 9
1
cups
6
Obj. 64 - Evaluate the absolute value of an integer
135. Evaluate: 28
1
28
[A]
136. Evaluate: – 77
[B] − 28
[A] −
1
77
[D] −
[C] 28
[B] − 77
1
77
[C]
1
28
[D] 77
Obj. 65 - Determine the opposite of an integer
1
9
137. What is the opposite of –9?
[A]
138. What is the opposite of –35?
[A] –35
[B] 9
[B] −
1
35
[C] –9
[D] −
[C] 35
[D]
1
9
1
35
Obj. 66 - Compare two negative integers or a negative integer and a positive integer
139. Which statement is true?
[A] – 4 > 3
[B] – 19 < 3
[C] – 4 < – 19
140. Which statement is true?
[A] – 16 > – 12
[B] – 16 > – 10
[C] – 12 < – 10
Obj. 67 - Order negative integers or a mix of positive and negative integers
141. Which list is ordered from least to greatest?
[A] – 1, – 7, – 15, – 11
[B] – 15, – 11, – 7, – 1
[C] – 1, – 7, – 11, – 15
[D] – 15, – 7, – 11, – 1
22
Topic 1 - Number Sense and Operations
142. Which list is ordered from greatest to least?
[A] 2, – 2, – 6, 10
[B] 10, 2, – 6, – 2
[C] 10, 2, – 2, – 6
[D] – 6, – 2, 2, 10
Obj. 68 - Add integers using a number line
143. Use the number line to find the sum: – 8 + 4
–10 –9 –8 –7 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 7 8 9 10
[A] 4
[B] –4
[C] 12
[D] –12
b g
144. Use the number line to find the sum: – 6 + – 4
–10 –9 –8 –7 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 7 8 9 10
[A] 10
[B] 2
[C] –10
[D] –2
Obj. 69 - Add integers using a model
145. Each white tile represents + 1 and each gray tile represents − 1. A white tile combined with
a gray tile equals 0. What is – 5 + 7?
+
[A] 2
[B] –12
[C] –2
[D] 12
146. Each white tile represents + 1 and each gray tile represents − 1. A white tile combined with
a gray tile equals 0. What is – 8 + 3?
+
[A] –11
[B] 11
[C] 5
23
[D] –5
Topic 1 - Number Sense and Operations
Obj. 70 - Add integers
b g
147. Add: 2 + − 3
[A] 1
148. Add: − 22 + 16
[B] –5
[A] –6
[C] –1
[B] 38
[D] 5
[C] 6
[D] –38
Obj. 71 - Subtract integers using a number line
b g
149. Use the number line to find the difference: 2 − – 3
–14 –12 –10 –8 –6 –4 –2
[A] –5
0
2
4
[B] 1
6
8
10 12 14
[C] –1
[D] 5
150. Use the number line to find the difference: 2 − 10
–14 –12 –10 –8 –6 –4 –2
[A] –8
0
2
4
[B] 12
6
8
10 12 14
[C] –12
[D] 8
Obj. 72 - Subtract integers
b g
151. Subtract: 2 − − 6
b g
152. Subtract: − 20 − − 42
[A] –4
[B] 4
[A] –22
[B] 62
[C] –8
[D] 8
[C] –62
[D] 22
Obj. 73 - WP: Add and subtract using integers
153. It was 14°F when Myra went outside to check the temperature on Saturday evening. When
Myra went outside to check the temperature on Sunday morning, the temperature had
fallen 25°F. What was the temperature when Myra went outside on Sunday morning?
[A] 25°F
[B] –39°F
[C] –11°F
24
[D] 11°F
Topic 1 - Number Sense and Operations
154. On the first play of a football game, the Mavericks lost 34 yards. On the second play, the
Mavericks gained 22 yards. Then they gained 11 yards on the third play. What was the
position of the ball relative to its starting point after the first three plays of the game?
[A] 23 yd
[B] –1 yd
[C] –67 yd
[D] 67 yd
Obj. 74 - Multiply integers
b gb g
155. Multiply: – 5 3
b gb g
156. Multiply: – 6 – 7
[A] 2
[B] 15
[A] 13
[B] 42
[C] –2
[D] –15
[C] –13
[D] –42
Obj. 75 - Divide integers
b g
157. Divide: 32 ÷ – 8
b g
158. Divide: – 60 ÷ – 2
[A] 4
[B] 24
[A] –29
[B] 30
[C] –4
[C] 29
[D] –24
[D] –30
Obj. 76 - WP: Multiply or divide integers
159. During a tour of a gold mine, visitors travel down a vertical mine shaft in an elevator. The
speed of the elevator can be expressed as –7 feet per second. What is the position of the
elevator with respect to the surface of the earth after 5 seconds?
[A] 35 ft
[B] 12 ft
[C] –12 ft
[D] –35 ft
160. A scientist changes the temperature of a solution at a rate of – 5° C per minute. How many
minutes will it take for the solution’s temperature to change from 0°C to – 55° C?
[A] 11 min
[B] 60 min
[C] 50 min
25
[D] 275 min
Topic 1 - Number Sense and Operations
Obj. 77 - WP: Determine the ratio of two whole numbers, at least one of which is larger
than 50
161. Two equal-sized plots of land were planted with rice using different watering methods.
The first plot produced 4,800 bushels of rice while the second plot produced
3,800 bushels of rice. What is the ratio of the first plot’s production to the second plot’s
production?
[A] 12:19
[B] 19:24
[C] 24:19
[D] 48:19
162. The masses of various dried woods are compared. The mass of a cubic meter of aspen is
420 kg. The mass of a cubic meter of spruce is 450 kg. What is the ratio of the mass of a
cubic meter of spruce to the mass of a cubic meter of aspen?
[A]
15
14
[B]
22
21
[C]
15
7
[D]
14
15
Obj. 78 - Determine ratios equivalent to a given ratio of two whole numbers, at least one of
which is larger than 50
163. Which two ratios are equivalent to 7:210?
[A]
42
14
and
900
420
[B]
1
14
and
30
420
[C]
14
6
and
60
180
[D]
1
14
and
30
60
164. Which two ratios are equivalent to 30:66?
[A] 15:22 and 10:22
[B] 5:11 and 10:33
[C] 15:33 and 10:22
[D] 5:33 and 15:22
Obj. 79 - WP: Determine a part, given part to whole ratio and the whole, where the whole
is greater than 50
165. A large garden is being treated with a liquid fertilizer that requires 3 ounces of
concentrated fertilizer for every 50 ounces of water. How much fertilizer is needed for
250 ounces of water?
[A] 20 oz
[B] 15 oz
[C] 100 oz
26
[D] 235 oz
Topic 1 - Number Sense and Operations
166. A survey of dog owners showed that 1 out of 10 owners got their dogs from animal
shelters. Of the 90 dog owners surveyed, how many did not get their dogs from shelters?
[A] 80
[B] 86
[C] 9
[D] 81
Obj. 80 - WP: Determine a part, given part to part ratio and the whole, where the whole is
greater than 50
167. In a company with 330 employees, the ratio of men to women is 6 to 5. How many of the
employees are men?
[A] 180
[B] 150
[C] 275
[D] 55
168. A tea company is making a special blend of two teas for a customer. The ratio of Assam
tea to Darjeeling tea in the blend is 7 to 8. How much Darjeeling tea is in 240 ounces of
the blend?
[A] 210 oz
[B] 30 oz
[C] 112 oz
[D] 128 oz
Obj. 81 - WP: Determine a part, given part to whole ratio and a part, where the whole is
greater than 50
169. A garden supply company sells cages for tomatoes. The cages come in either black or
silver. To decide how many of each color to stock, the purchaser looks at the sales from
3
last year. She finds that
of the cages sold were silver. Last year the company sold
10
270 silver cages. How many cages were black?
[A] 630
[B] 189
[C] 590
[D] 81
170. A pizza vendor at an outdoor festival is going to sell slices of cheese pizza and slices of
pepperoni pizza. He noticed last year that the ratio of cheese slices sold to total slices sold
was 8:15 and that he sold 240 cheese slices. How many pepperoni slices did he sell last
year?
[A] 450
[B] 230
[C] 210
27
[D] 112
Topic 1 - Number Sense and Operations
Obj. 82 - WP: Determine a part, given part to part ratio and a part, where the whole is
greater than 50
171. All the children in an elementary school were asked how many cats and dogs they have. It
was found that the ratio of cats to dogs is 47 to 28. The children have 140 dogs altogether.
How many cats do the children have?
[A] 83
[B] 223
[C] 375
[D] 235
172. One day, the ratio of students in the seventh grade who ate the school lunch to students
33
who brought a lunch was . If 132 students ate the school lunch, how many students
7
brought a lunch?
[A] 28
[B] 5
[C] 35
[D] 4
Obj. 83 - WP: Determine the whole, given part to whole ratio and a part, where the whole
is greater than 50
16
of their flyers in one neighborhood. They
33
gave out the remaining 680 flyers in another neighborhood. What is the total number of
flyers they gave out?
173. Volunteers for a political campaign gave out
[A] 640
[B] 1,408
[C] 1,320
[D] 1,403
174. There are 30 passengers in business class on an airplane. The ratio of business-class
passengers to the total number of passengers on the plane is 2:9. How many passengers are
on the plane?
[A] 135
[B] 150
[C] 105
[D] 126
Obj. 84 - WP: Determine the whole, given part to part ratio and a part, where the whole is
greater than 50
175. The ratio of fruit juice to sparkling water in a fruit punch recipe is 39 to 20. A bowl of
punch is made using 80 ounces of sparkling water. How much punch is made?
[A] 158 oz
[B] 238 oz
[C] 156 oz
28
[D] 236 oz
Topic 1 - Number Sense and Operations
176. At a health club, the ratio of members who use a personal trainer to those who do not is
7:23. How many members does the club have if 399 members use a personal trainer?
[A] 1,311
[B] 1,724
[C] 1,296
[D] 1,710
Obj. 85 - WP: Determine a unit rate
177. After milking several cows by hand, a farmworker had collected 53.1 L of milk. It took the
worker 59 minutes to milk the cows. On average, what was the rate at which the worker
was able to get milk from the cows?
[A] 0.6 L per minute
[B] 0.7 L per minute
[C] 0.8 L per minute
[D] 0.9 L per minute
178. Anthony did not notice the unit price of the bananas he bought at a fruit stand. The scale at
the checkout counter gave the weight of the bananas as 4.7 pounds, and they cost $3.43.
What was the unit price of the bananas?
[A] 74¢ per pound
[B] 7.4¢ per pound
[C] 73¢ per pound
[D] 7.3¢ per pound
Obj. 86 - WP: Use a unit rate to solve a problem
179. Vito is running on a treadmill. The treadmill indicates that he is running at a speed of
0.137 miles per minute. If he maintains a constant speed, about how far will Vito run in
20 minutes?
[A] 0.365 mi
[B] 2.74 mi
[C] 0.007 mi
[D] 145.985 mi
180. A radio station has 0.25 minutes of advertising for every minute of programming. If
Quenton has listened to 120 minutes of advertising, about how many minutes of
programming has he listened to?
[A] 30 min
[B] 0.033 min
[C] 0.002 min
29
[D] 480 min
Topic 2 - Algebra
Obj. 87 - Evaluate a rational expression involving variables with two or more terms in the
numerator or denominator
1. Evaluate:
8+b
if b = 3 and c = –3
c
2. Evaluate:
6
if b = –11 and c = 8
6+b−c
[A] −
1
19
[B]
[A] − 3
6
25
2
3
[C] −
[B] 7
[C] −
6
13
1
3
[D]
[D] 1
2
3
3
10
Obj. 88 - Evaluate a 1-variable expression, with two or three operations, using integer
substitution
3. Evaluate: – 10 x − 6 if x = – 6
4. Evaluate: 7 x − 5x if x = – 6
[A] 54
[A] – 12
[B] 66
[B] – 47
[C] 96
[C] – 72
[D] 120
[D] 72
Obj. 89 - Evaluate a 2-variable expression, with two or three operations, using integer
substitution
5. Evaluate:
18
+ n if m = – 6 and n = – 1
m
b
[A] – 2
[B] 2
[C] – 4
[D] – 24
g
6. Evaluate: m m − n + 10 if m = 8 and n = – 7
[A] 130
[B] 18
[C] – 130
[D] 81
Obj. 90 - Evaluate an algebraic expression involving whole number exponents
7. Evaluate: 3x 2 + 2 if x = 4
b
8. Evaluate: x + y
g
2
[A] 26
if x = 2 and y = 4
[B] 51
[A] 36
30
[B] 8
[C] 50
[C] 18
[D] 146
[D] 16
Topic 2 - Algebra
Obj. 91 - WP: Evaluate a variable expression
9. Mr. Nelson maintains a Web site. He has some photo albums that use 24 megabytes of
space each. All of the other pages on his site use a total of 11 megabytes. Mr. Nelson can
find out the total space used, in megabytes, by evaluating the expression 24 x + 11, where x
is the number of photo albums. If he has 7 photo albums, how much space does his Web site
use?
[A] 42 MB
[B] 258 MB
[C] 101 MB
[D] 179 MB
10. Benni is on vacation with his family and he wants to buy key chains and T-shirts as
souvenirs for his friends. The formula 5k + 11t represents how much money k key chains
and t T-shirts cost. If Benni buys 3 key chains and 2 T-shirts, how much money will he
spend?
[A] $43
[B] $52
[C] $38
[D] $37
Obj. 92 - WP: Evaluate a variable expression involving exponents
11. A cheerleader who is being held 3 feet off of the ground is tossed into the air with an initial
speed of 32 feet per second. Her height (in feet) t seconds after she is thrown can be
estimated by 3 + 32t − 16t 2 . About how high is the cheerleader 2 seconds after she is tossed?
[A] 986 ft
[B] 957 ft
[C] 3 ft
[D] 26 ft
12. A company produces fabric-covered units for storing hay. Each unit has the shape of a
cylinder split in half lengthwise. The amount of fabric needed for a storage unit is given by
the formula A = 314
. r 2 + 314
. rl , where r is the radius of each semicircular end of the storage
unit, and l is the length of the unit. What is the amount of fabric needed to cover a storage
unit if the radius is 13 feet and the length is 26 feet?
[A] 868.66 ft 2
[B] 1,59198
. ft
2
[C] 4,613.7 ft
2
[D] 1142
, .96 ft
2
13. A large vegetable bin at a farmer’s market is in the shape of a rectangular prism. The bin is
one and one half times as long as it is wide, and the height of the bin is equal to the width.
The volume of the bin is given by the formula V = 15
. x 3 , where x is the width of the bin.
What is the volume of a bin with a width of 5 feet?
[A] 22.5 ft 3
[B] 197.5 ft 3
[C] 37.5 ft 3
31
[D] 187.5 ft 3
Topic 2 - Algebra
Obj. 93 - Answer a question involving algebraic terminology
14. Identify the algebraic inequality.
[A] 1 ≤ 18
[B] c + 18d ≤ –2
15. What is the variable in 8 p − 13?
[C] c + 18d
[A] 8
[B] 8 p
[D] c + 18d = –2
[C] p
[D] –13
Obj. 94 - Use a variable expression to represent the relationship between the terms and
their positions in an arithmetic sequence
16. Which expression can be used to find the value of the nth term in the sequence?
Position
4
Value of Term
[A] n +
4
5
6
7
n
3
3
3
3
5
6
7
8
8
8
8
8
7
[B] n +
3
8
[C]
35n
32
[D]
8n
3
17. Which expression can be used to find the value of the nth term in the sequence?
Position
1
Value of Term
[A] 4n + 6
3
5
10
2
3
4
n
3
3
3
3
16
22
28
5
5
5
5
[B]
33n
5
[C] 10n +
3
5
[D] 6n + 4
3
5
Obj. 95 - Use a variable expression with two operations to represent a table of paired
numbers
18. Which expression can be used to calculate the output values in this table?
Input (n)
Output (?)
[A] 4 + 6n
1 2 3 4
10 16 22 28
[B] 9 + n
[C] 5 + 5n
32
[D] 7n + 3
Topic 2 - Algebra
19. Which expression can be used to calculate the output values in this table?
Input (n)
Output (?)
– 3 – 2 –1 0
–3 0
3 6
[A] 4n + 9
[B] 2n − 3
[C] n
[D] 6 + 3n
Obj. 96 - WP: Use a 2-variable expression to represent a situation
20. One month, Emmet earned x dollars delivering newspapers and y dollars for doing
household chores. He worked 30 days that month. Which expression represents Emmet’s
average daily income during the month?
[A] x + 30 y
b
[B] 30 x + y
g
[C]
x
+y
30
[D]
x+ y
30
21. Last month, a warehouse received 226 large shipments of n items each. The items were then
repackaged for distribution to stores. Then the warehouse sent 378 smaller shipments of
m items each to various stores. Which expression represents the number of items the
warehouse received last month that have not been shipped to stores yet?
[A] 378n − 226m
[B] 226m − 378n
[C] 226n − 378m
[D] 378m − 226n
Obj. 97 - WP: Use direct variation to solve a problem
22. A spring is suspended from a hook. When a weight is attached to the spring, the length the
spring stretches varies directly with the weight attached to it. A 5-pound weight stretches the
spring 3 inches. How much is the spring stretched by a 25-pound weight?
[A] 42 in.
[B] 8 in.
[C] 15 in.
[D] 30 in.
23. A rocket engine uses a chemical called an oxidizer to provide the oxygen needed to burn its
fuel. The rate at which the oxidizer is used varies directly with the rate at which the fuel is
used. A certain engine uses oxidizer at the rate of 7 pounds per second when it uses fuel at
the rate of 3 pounds per second. What is the rate at which the engine uses oxidizer when it is
using 15 pounds of fuel per second?
[A] 35 lb sec
[B] 36 lb sec
[C] 17.5 lb sec
33
[D] 6 lb sec
Topic 2 - Algebra
Obj. 98 - Solve a 1-step linear equation involving integers
24. Solve: − 43 + b = −23
25. Solve: – 11s = –77
[A] b = – 66
[A] s = 847
[B] b = 66
[B] s = – 7
[C] b = 20
[C] s = 7
[D] b = – 20
[D] s = – 847
Obj. 99 - Use a model to solve a 2-step linear equation involving integers
26. The model below represents the equation 2 + 2 x = 6.
What is the value of x?
[A] x = 3
[B] x = 1
[C] x = 4
[D] x = 2
27. The model below represents the equation 2 x − 3 = x + 1.
What is the value of x?
[A] x = − 2
[B] x = 2
[C] x = − 4
[D] x = 4
Obj. 100 - Solve a 2-step linear equation involving integers
28. Solve: 25 = −15 + 5 y
[A] y = – 2
[B] y = – 8
34
[C] y = 8
[D] y = 2
Topic 2 - Algebra
29. Solve:
z
− 10 = 26
4
[A] z = 64
[B] z = 144
[C] z = – 64
[D] z = – 144
Obj. 101 - WP: Use a 1-variable 1-step equation to represent a situation
30. A school band raised $208 by holding a car wash. The band washed 32 cars in all. Which
equation can be used to find n, the average amount they earned per car?
[A] 32n = 208
[B]
32
= 208
n
[C]
n
= 208
32
[D] 208n = 32
31. Oliver had $49 when he went to a video store. He had $15 left after buying some DVDs.
Which equation can be used to find a, the amount Oliver spent on DVDs?
[A] a − 15 = 49
[B] 49 − a = 15
[C] 49 + a = 15
[D] 15 − a = 49
Obj. 102 - Use a table to represent a linear function
32. Which table shows three solutions of the function y = –6 x + 7?
[A]
x
y
–5
–2
4
[B]
x
y
– 23
–5
–5
–2
31
4
[C]
x
y
37
19
–5
–2
31
4
[D]
x
y
– 23
–5
–5
–2
37
19
– 17
4
– 17
x
y
33. Which table shows three solutions of the function y = 5x − 7?
[A]
x
y
–7
–1
– 42
– 12
7
28
[B]
x
[C]
y
– 7 28
–1 – 2
7
28
35
[D]
x
y
–7
–1
– 42
– 12
–7
–1
– 28
2
7
– 28
7
42
Topic 2 - Algebra
Obj. 103 - Use a graph to represent the ordered pairs in a function table
34. Which graph shows the ordered pairs from the table?
x
– 3 – 2 –1 3
y –4 –2
[A]
0
4
8 10
[B]
y
10
10 x
–10
y
10
–10
[C]
–10
[D]
y
10
10 x
–10
y
10
–10
35. Which graph shows the ordered pairs from the table?
y
– 2 –1 0 1 2
7
4
10 x
–10
–10
x
10 x
–10
3 4 7
36
Topic 2 - Algebra
[A]
y
10
10 x
–10
–10
[B]
y
10
10 x
–10
–10
[C]
y
10
10 x
–10
–10
[D]
y
10
10 x
–10
–10
(35.)
37
Topic 2 - Algebra
Obj. 104 - Determine the graph of a 1-operation linear function
36. Which graph represents solutions of the equation y = x + 3?
[A]
[B]
y
10
10 x
–10
y
10
–10
[C]
–10
[D]
y
10
10 x
–10
10 x
–10
y
10
10 x
–10
–10
–10
38
Topic 2 - Algebra
x
37. Which graph represents solutions of the equation y = − ?
3
[A]
[B]
y
10
10 x
–10
y
10
–10
[C]
–10
[D]
y
10
10 x
–10
10 x
–10
y
10
10 x
–10
–10
–10
39
Topic 3 - Geometry and Measurement
Obj. 105 - Convert between Fahrenheit and Celsius temperature given a formula
1. One year, the temperature in Birmingham was 43°F on January 3. What is that temperature
5
to the nearest tenth in degrees Celsius? Use the formula C = F − 32 .
9
b
[A] 1.1°C
[B] 6.1°C
[C] 11°C
g
[D] 19.8°C
2. One year, the temperature in Louisville was 28°C on July 8. What is that temperature to the
9
nearest tenth in degrees Fahrenheit? Use the formula F = C + 32.
5
[A] 18.4°F
[B] 78.4°F
[C] 108°F
[D] 82.4°F
Obj. 106 - Determine the circumference of a circle using 22/7 for pi
3. What is the circumference of a circle that has a radius of 1
[A] 1
1
in.
2
[B] 12 in.
10
22
inches? Use
for π .
11
7
[C] 3 in.
4. What is the circumference of a circle that has a diameter of 1
[A] 12 cm
[B] 9 cm
[D] 6 in.
10
22
cm? Use
for π .
11
7
[C] 6 cm
[D] 3 cm
Obj. 107 - Determine the circumference of a circle in terms of pi
5. The diameter of a circle is 9.2 feet. What is the circle’s circumference in terms of π ?
[A] 9.2π ft
[B] 18.4π ft
[C] 212
. π ft
[D] 4.6π ft
6. The radius of a circle is 1
3
mm. What is the circle’s circumference in terms of π ?
4
1
π mm
16
3
[C] 1 π mm
4
[A] 3
[B] 7π mm
40
1
[D] 3 π mm
2
Topic 3 - Geometry and Measurement
Obj. 108 - Solve a problem involving the circumference of a circle
7. The circumference of a circle is 32π cm. What is the radius of the circle?
[A] 32 cm
[B] 16 cm
[C] 64 cm
[D] 30 cm
8. The circumference of one circle is five times as large as the circumference of a second
circle. What is the ratio of the radius of the first circle to the radius of the second circle?
[A] 5 to 1
[C] 1 to π
[B] 10 to 1
[D] 1 to 5
Obj. 109 - Determine the area of a trapezoid
9. What is the area of the trapezoid?
20.6 m
14.9 m
10.4 m
(not drawn to scale)
32.4 m
[A] 5512
. m2
[B] 78.3 m2
[C] 394.85 m2
[D] 275.6 m2
[C] 33 in 2
[D] 360 in 2
10. What is the area of the trapezoid?
13 in.
(not drawn to scale)
11 in.
17 in.
[A] 165 in 2
[B] 180 in 2
41
Topic 3 - Geometry and Measurement
Obj. 110 - Estimate the area of an irregular shape or a circle on a grid
11. Which value is the best estimate of the area of the circle?
[A] 49 square units
[B] 46 square units
[C] 61 square units
[D] 70 square units
12. Which value is the best estimate of the area of the figure?
[A] 30 square units
[B] 29 square units
[C] 49 square units
[D] 38 square units
Obj. 111 - Determine the area of a circle in terms of pi
13. The diameter of a circle is 40 mm. What is the area of the circle in terms of π ?
[A] 40π mm 2
[B] 20π mm 2
[C] 400π mm 2
[D] 1,600π mm
14. The radius of a circle is 1.5 cm. What is the area of the circle in terms of π ?
[A] 9π cm2
[B] 3π cm2
2
[C] 15
. π cm
42
[D] 2.25π cm2
2
Topic 3 - Geometry and Measurement
Obj. 112 - Determine the area of a circle using 3.14 for pi
15. Find the area of the circle. Use 3.14 for π .
2.8 ft
[A] 24.62 ft 2
2
[B] 1380
. ft
[C] 4.40 ft 2
2
[D] 615
. ft
[C] 12.56 m2
[D] 50.24 m2
16. Find the area of the circle. Use 3.14 for π .
2m
[A] 19.72 m2
[B] 6.28 m2
Obj. 113 - Determine the area of a circle using 22/7 for pi
1
22
17. What is the area of a circle that has a radius of 1 feet? Use
for π.
5
7
[A] 4
92 2
ft
175
[B] 3
27 2
ft
35
[C] 7
19 2
ft
35
18. What is the area of a circle that has a diameter of 56 cm? Use
[A] 4,928 cm
2
[B] 2,464 cm
2
[C] 88 cm2
43
[D] 18
18 2
ft
175
22
for π.
7
[D] 176 cm2
Topic 3 - Geometry and Measurement
Obj. 114 - WP: Determine the area of a circle using 3.14 for pi
19. Mrs. McGregor is pouring concrete for the floor of a circular building. The floor of the
building will have a diameter of 58 feet. What is the area of the floor of the building to the
nearest square foot? Use 3.14 for π.
[A] 2,641 ft
2
[B] 5,281 ft
2
[C] 2,631 ft
2
[D] 10,563 ft
2
20. A layer of wood chips is going to be spread across a circular playground. The playground
has a radius of 19 yards. What is the area of the playground? Use 3.14 for π .
[A] 2,267.08 yd 2
2
[B] 113354
, . yd
[C] 283.39 yd 2
[D] 119.32 yd 2
Obj. 115 - Solve a problem given the area of a circle
21. The area of a circle is 81π square feet. What is the diameter of the circle?
[A] 9 ft
[B] 4.5 ft
[C] 10 ft
[D] 18 ft
22. The area of a circle is 49π square inches. What is the circumference of the circle?
[A] 14π in.
[B] 28π in.
[C] 15π in.
[D] 7π in.
Obj. 116 - Determine the volume of a rectangular or a triangular prism
23. What is the volume of the rectangular prism?
2 yd
7
2
1
yd
8
[A] 17
9
yd 3
64
1
yd
8
(not drawn to scale)
[B] 33
3
yd 3
4
[C] 30
44
9
yd 3
32
[D] 33
41
yd 3
64
Topic 3 - Geometry and Measurement
24. What is the volume of the rectangular prism?
0.6 cm
0.1 cm
0.2 cm
(not drawn to scale)
[A] 0.9 cm3
[B] 0.012 cm3
[C] 0.036 cm3
[D] 0.2 cm3
25. What is the volume of the triangular prism?
(not drawn to scale)
6.1 m
3.8 m
9.5 m
[A] 110.105 m3
[B] 19.982 m3
[C] 117.23 m3
[D] 61.75 m3
Obj. 117 - Determine the volume of a cylinder
26. What is the volume of the cylinder? Use 314
. for π .
6 cm
4 cm
(not drawn to scale)
[A] 226.08 cm3
[B] 113.04 cm3
[C] 95.83 cm3
45
[D] 150.72 cm3
Topic 3 - Geometry and Measurement
27. What is the volume of the cylinder? Use 314
. for π .
3.4 ft
3.6 ft
(not drawn to scale)
[A] 130.67 ft 3
[B] 138.36 ft 3
[C] 261.35 ft 3
[D] 38.43 ft 3
Obj. 118 - WP: Determine the volume of a cylinder
28. Brigit is baking a five-layer cake and has only the top layer left to bake. She needs to know
the volume of the cylindrical pan to determine if she has enough cake batter. The cake pan’s
height is 2 inches, and its diameter is 12 inches. What is its volume? Use 3.14 for π.
[A] 37.68 in 3
[B] 904.32 in 3
[C] 226.08 in 3
[D] 75.36 in 3
29. A cookie press is in the shape of a cylinder. It has a radius of 2.5 inches and a height of
1
18.5 inches. After making a dozen cookies, the press is empty. How much cookie dough
4
is left in the press? Use 3.14 for π and round the answer to the nearest cubic inch.
[A] 91 in 3
[B] 218 in 3
[C] 272 in 3
46
[D] 145 in 3
Topic 3 - Geometry and Measurement
Obj. 119 - WP: Solve a problem involving the volume of a geometric solid
30. A vase is in the shape of a rectangular prism. Its base has an area of 34 square inches. Its
height is 11 inches. The vase is filled to the top with water and emptied into a fish tank. The
fish tank has a base that is 18 inches by 11 inches, and it has a height of 10 inches. How
many times in all would the vase have to be filled and emptied into the fish tank to fill the
tank to the top?
Fish Tank
Vase
11 in.
10 in.
11 in.
A = 34 in
[A] 5
18 in.
2
[B] 6
[C] 58
47
[D] 7
Topic 3 - Geometry and Measurement
31. Donna is making chocolates in the shape of triangular prisms. She will pour melted
chocolate into triangular-prism molds that each have a base with a height of 2 cm and a
length of 2 cm. The width of each mold is 1.5 cm. The block of chocolate Donna is going to
melt has a length of 20 cm, a height of 4 cm, and a width of 17 cm. Donna makes
8 chocolates. How much chocolate will be left over?
(not drawn to scale)
4 cm
2 cm
[A] 1,312 cm3
20 cm
17 cm
2 cm
1.5 cm
[C] 48 cm3
[B] 1,344 cm3
48
[D] 1,336 cm3
Topic 3 - Geometry and Measurement
32. Evan wants to buy a cylindrical flowerpot. He wants the diameter of the flowerpot to be
5 inches, and the volume of the pot should be at least 120 cubic inches. To the nearest tenth
of an inch, what should be the minimum height of the flowerpot? Use 3.14 for π.
(not drawn to scale)
5 in.
[A] 6.1 in.
[B] 9.6 in.
[C] 7.6 in.
[D] 4.8 in.
Obj. 120 - Determine the net of the surface area of a 3-dimensional figure
33. Which net could be folded to make a cone?
[A]
[B]
[C]
[D]
49
Topic 3 - Geometry and Measurement
34. Which net could be folded to make a rectangular prism?
[A]
[B]
[C]
[D]
Obj. 121 - Determine the graph of the relationship between measurements in a geometric
shape
35. A set of cylinders have a height measurement equal to the radius of the cylinders. Which
graph shows the relationship between the height and radius measurements and the volumes
of the cylinders? Use 3.14 for π .
Shape Radius
A
2
B
3
C
5
D
10
50
Topic 3 - Geometry and Measurement
[A]
Volume
200
100
0
5
Radius
10
5
Radius
10
5
Radius
10
[B]
Volume
5,000
2,500
0
[C]
Volume
4,000
2,000
0
51
Topic 3 - Geometry and Measurement
[D]
Volume
300
150
0
5
Radius
10
(35.)
36. The table shows the lengths of the radii of several circles. Which graph shows the
relationship between the length of the radius and the circumference of a circle? Use 3.14
for π .
Shape Radius
A
2
B
5
C
8
D
11
[A]
100
50
0
10
Radius
20
52
Topic 3 - Geometry and Measurement
[B]
50
25
0
25
Radius
50
25
Radius
50
10
Radius
20
[C]
50
25
0
[D]
100
50
0
(36.)
53
Topic 3 - Geometry and Measurement
Obj. 122 - Identify corresponding parts of congruent shapes
37. ∆ JKL is congruent to ∆VWX . Which angle of ∆ JKL is congruent to ∠W?
X
J
K
W
L
[A] ∠J
V
[B] ∠K
[C] ∠L
38. Quadrilateral IJKL is congruent to quadrilateral VWXY.
J
I
K
L
Y
X
V
W
Which angle in quadrilateral IJKL is congruent to ∠V?
[A] ∠I
[B] ∠J
[C] ∠K
54
[D] ∠L
Topic 3 - Geometry and Measurement
Obj. 123 - Identify congruent shapes given side and angle measures
39. Look at the four quadrilaterals shown below. Which congruence statement is true?
[A] Figure 2 is congruent to Figure 4
[B] Figure 1 is congruent to Figure 4
[C] Figure 1 is congruent to Figure 2
[D] Figure 2 is congruent to Figure 3
55
Topic 3 - Geometry and Measurement
40. Look at the four triangles shown below. Which congruence statement is true?
[A] ∆DEF ≅ ∆GHI
[B] ∆GHI ≅ ∆JKL
[C] ∆ABC ≅ ∆JKL
[D] ∆ABC ≅ ∆DEF
Obj. 124 - Determine a missing dimension given two congruent shapes
41. ∆ABC is congruent to ∆WXY. What is the value of ∠B?
B
X
8.9 cm
x
v
26°
W
8 cm
C
64°
3.9 cm A
[A] 64°
y
Y
[B] 21°
[C] 26°
56
[D] 25°
Topic 3 - Geometry and Measurement
42. Quadrilateral ABCD is congruent to quadrilateral EFGH. What is the value of z?
F
(not drawn to scale)
D
z
v
C
x
E
7.7 cm
8.5 cm
u
115° G
6.9 cm
A
65°
10.5 cm
B
H
[A] 10.5 cm
[B] 8.5 cm
[C] 7.7 cm
57
[D] 6.9 cm
Topic 3 - Geometry and Measurement
Obj. 125 - Identify similar polygons
43. Which triangle is similar to ∆GHI ?
H
16 cm
(triangles not drawn to scale)
I
12 cm
20 cm
G
[A]
[B]
23 cm
16 cm
40 cm
24 cm
21 cm
32 cm
[C]
24 cm
20 cm
30 cm
58
Topic 3 - Geometry and Measurement
44. Which trapezoid is similar to trapezoid BCDE?
24 ft
B
C
8 ft
E
12 ft
16 ft
(trapezoids not drawn to scale)
D
[A]
72 ft
28 ft
36 ft
48 ft
[B]
30 ft
10 ft
15 ft
17 ft
[C]
60 ft
20 ft
30 ft
40 ft
Obj. 126 - Determine the scale for a drawing or map question
45. In a blueprint of a bridge, the bridge’s arches rise 9 inches above the road. If the arches
actually rise 54 feet above the road, what is the scale of the drawing?
[A] 1 in. = 72 ft
[B] 1 in. = 486 ft
[C] 1 in. = 6 ft
59
[D] 1 in. = 108 ft
Topic 3 - Geometry and Measurement
46. The actual distance between two county parks is 10 miles. On a map, these parks are
5 inches apart. What is the scale on the map?
[A] 1 in. = 50 mi
[B] 1 in. = 2 mi
[C] 1 in. = 25 mi
[D] 1 in. = 1.8 mi
Obj. 127 - WP: Solve a problem involving a map or scale drawing
47. The picture shows a map of three towns drawn to scale. Each square on the map grid is
0.5 cm by 0.5 cm. What is the distance between Springfield and Greenville?
Greenville
Lakeside
Springfield
0.5 cm = 40 km
[A] 2 km
[B] 80 km
[C] 40 km
[D] 120 km
48. Ms. Walker is planning to landscape her backyard. The scale drawing shows the plan for a
vegetable garden, a lawn, and a paved area. How many square feet of the backyard will be
paved?
12 in.
Vegetable Garden
3.3 in.
9.5 in.
Lawn
Paving
4.1 in.
1 inch = 5.5 feet
[A] 25.4 ft 2
[C] 769 ft 2
[B] 1,178.2 ft 2
60
[D] 139.8 ft 2
Topic 3 - Geometry and Measurement
Obj. 128 - Convert a rate from one unit to another with a change in one unit
49. Convert 9.9 yards per minute to feet per minute.
[A] 33 ft min
[B] 29.7 ft min
[C] 99 ft min
[D] 3.3 ft min
50. Convert 1.1 inches per second to inches per minute.
[A] 11 in. min
[B] 660 in. min
[C] 110 in. min
[D] 66 in. min
Obj. 129 - Convert a rate from one unit to another with a change in both units
b
g
51. Convert 56 kg m to grams per centimeter g cm .
[A] 560 g cm
[B] 5.6 g cm
[C] 5,600 g cm
[D] 56 g cm
b g
52. Convert 143 lb s to tons per hour T hr . Round the answer to the nearest tenth, if
necessary.
[A] 7.9 T hr
[B] 4,766.7 T hr
[C] 257.4 T hr
[D] 79.4 T hr
Obj. 130 - Determine approximate conversions between metric and customary units of
length
53. Which metric measure is approximately equal to 11 miles?
[A] 18 km
[B] 7 km
[C] 3 km
[D] 2 km
54. Which customary measure is approximately equal to 35 centimeters?
[A] 44 in.
[B] 7 in.
[C] 89 in.
[D] 14 in.
Obj. 131 - Determine approximate conversions between metric and customary units of
capacity
55. About how many liters are in 12 gallons?
[A] 3 L
[B] 32 L
[C] 23 L
61
[D] 45 L
Topic 3 - Geometry and Measurement
56. About how many quarts are in 23 liters?
[A] 24 qt
[B] 2 qt
[C] 328 qt
[D] 33 qt
Obj. 132 - Determine approximate conversions between metric and customary units of
weight/mass
57. Which mass has a weight of approximately 15 pounds?
[A] 3 kg
[B] 17 kg
[C] 7 kg
[D] 33 kg
58. Which weight has a mass of approximately 96 kilograms?
[A] 44 lb
[B] 10 lb
[C] 212 lb
[D] 435 lb
Obj. 133 - Identify vertical, adjacent, complementary, or supplementary angles
59. Which terms describe the relationship between ∠1 and ∠3?
[A] vertical, supplementary
[B] vertical, complementary
[C] adjacent, complementary
[D] adjacent, supplementary
60. Which two measures represent complementary angles?
[A] 138°, 42°
[B] 268°, 92°
[C] 13°, 67°
62
[D] 35°, 55°
Topic 3 - Geometry and Measurement
61. Which two angles are adjacent angles?
[A] ∠BGC and ∠BGH
[B] ∠AGB and ∠CGD
[C] ∠AGF and ∠BGC
[D] ∠AGH and ∠DGE
Obj. 134 - Determine the measure of a missing angle using angle relationships
62. In the figure, the measure of ∠TOV is 81° and the measure of ∠TOK is 49°. Use the
properties of supplementary angles, complementary angles, and/or vertical angles to find the
measure of ∠ JOU.
U
(not drawn to scale)
S
J
O
V
[A] 81°
K
T
[B] 54°
[C] 99°
[D] 49°
63. The measure of ∠Y is 26°. What is the measure of the supplement of ∠Y?
[A] 64°
[B] 154°
[C] 61°
63
[D] 74°
Topic 3 - Geometry and Measurement
64.
AD and BE are straight lines that intersect at F. The measure of ∠DFE is 26°. Use the
angle properties of supplementary angles, complementary angles, and/or vertical angles to
find the measure of ∠CFD.
[A] 64°
[B] 26°
[C] 74°
[D] 154°
Obj. 135 - Classify a triangle by its sides and angles
65. What is the classification of the triangle by its sides and angles?
[A] isosceles, obtuse
[B] equilateral, acute
[C] scalene, acute
[D] scalene, obtuse
66. What is the classification of the triangle by its sides and angles?
[A] scalene, acute
[B] isosceles, obtuse
64
[C] scalene, obtuse
[D] isosceles, acute
Topic 3 - Geometry and Measurement
Obj. 136 - Know the properties of a triangle or a quadrilateral
67. Which statement is always true about a square?
[A] No angles are congruent.
[B] No more than two sides are congruent.
[C] No more than one pair of sides are parallel.
[D] It has four right angles.
68. Which statement is always true about an isosceles triangle?
[A] At least two sides are congruent.
[B] One angle is a right angle.
[C] No angles are congruent.
[D] No sides are congruent.
Obj. 137 - Determine the location of an ordered pair in any quadrant
b g
69. What is the letter name of the point 5, 2 ?
[A] R
[B] S
[C] T
[D] U
y
5
U
T
–5
5
R
S
x
–5
b
g
70. What is the letter name of the point – 2, 5 ?
y
R
U
5
–5
5
S
–5
x
T
65
[A] R
[B] S
[C] T
[D] U
Topic 3 - Geometry and Measurement
Obj. 138 - Determine the ordered pair of a point in any quadrant
71. What is the ordered pair for point B?
y
5
–5
5
B
x
–5
[A]
b4, 1g
b4, – 1g
[B]
[C]
b– 4, – 1g
[D]
b– 1, – 4g
[C]
b4, – 3g
[D]
b3, – 4g
72. What is the ordered pair for point A?
y
A
5
–5
5
x
–5
[A]
b– 3, – 4g
[B]
b– 3, 4g
66
Topic 3 - Geometry and Measurement
Obj. 139 - Determine the location of a simple shape on the Cartesian plane given the
coordinates of its vertices
b
gb
gb g
b
g
73. Which rectangle has vertices at – 5, – 2 , – 5, 7 , 1, 7 , and 1, – 2 ?
[A]
[B]
y
10
10 x
–10
y
10
–10
[C]
–10
[D]
y
10
10 x
–10
10 x
–10
y
10
10 x
–10
–10
–10
67
Topic 3 - Geometry and Measurement
b
gb
gb g
b g
74. Which quadrilateral has vertices at – 6, 1 , – 4, 7 , 4, 3 , and 0, 0 ?
[A]
[B]
y
10
y
10
10 x
–10
10 x
–10
–10
[C]
–10
[D]
y
10
y
10
10 x
–10
10 x
–10
–10
–10
Obj. 140 - Determine the coordinates of a missing point determined by geometric
information
b
g
b
g
75. A rectangle has vertices with coordinates – 3, – 5 and 6, – 5 , which form one side of the
b g
rectangle. A third vertex has coordinates of 6, 1 . Which point could be the fourth vertex?
[D] b – 3, 2g
b– 3, – 1g
Two vertices of a right triangle have the coordinates b9, 2g and b9, – 3g. Which ordered pair
[A]
76.
b– 3, 1g
[B]
b– 3, 0g
[C]
could be the coordinates of the third vertex?
[A]
b5, – 2g
[B]
b5, – 4g
[C]
68
b3, – 2g
[D]
b4, 2g
Topic 3 - Geometry and Measurement
Obj. 141 - Determine a side length of a shape on the Cartesian plane
77. What is the length of AB?
y
10
10 x
–10
–10
A
D
B
C
[A] 6 units
[B] 5 units
[C] 4 units
[D] 2 units
[C] 10 units
[D] 4 units
78. What is the length of PQ?
y
10
M N
P
Q
10 x
–10
–10
[A] 2 units
[B] 8 units
69
Topic 3 - Geometry and Measurement
Obj. 142 - Determine the area of a shape on the Cartesian plane
79. What is the area of the rectangle?
y
10
A
D
10 x
–10
B
C
–10
[A] 154 square units
[B] 140 square units
[C] 48 square units
[D] 126 square units
80. What is the area of the trapezoid?
y
10
A
B
C
D
10 x
–10
–10
[A] 22.5 square units
[B] 21 square units
[C] 45 square units
[D] 24 square units
70
Topic 3 - Geometry and Measurement
Obj. 143 - Determine the graph of a reflection or a translation
81. Which graph shows the reflection of ∆VWX over the y-axis?
y
W
10
X
V
10 x
–10
–10
[A]
[B]
y
y
10
10
–10
10
x
–10
[C]
–10
[D]
y
y
10
10
–10
10 x
–10
10
–10
10
x
x
–10
–10
82. Which graph shows a translation of quadrilateral STUV 9 units left and 10 units down?
y
10
T
U
S
V
10 x
–10
–10
71
Topic 3 - Geometry and Measurement
[A]
y
10
–10
10
x
–10
[B]
y
10
–10
10
x
–10
[C]
y
10
–10
10
x
–10
[D]
y
10
–10
10
x
–10
(82.)
72
Topic 3 - Geometry and Measurement
Obj. 144 - Visualize a 2-dimensional shape
83. The two identical triangles are joined by sliding them together. What quadrilateral is
formed?
[A] rhombus
[B] trapezoid
[C] rectangle
[D] square
84. The midpoints of the adjacent sides in the parallelogram are joined by lines to form a new
shape. What shape is formed by the new lines?
[A] rectangle
[B] rhombus
[C] parallelogram
[D] trapezoid
Obj. 145 - Identify attributes of a 3-dimensional shape
85. How many vertices does a rectangular prism have?
[A] 6
[B] 4
[C] 12
[D] 8
86. How many edges does a square-based pyramid have?
[A] 6
[B] 3
[C] 4
[D] 8
Obj. 146 - Compare attributes of 3-dimensional shapes
87. How many fewer edges does a rectangular prism have than a pentagonal prism?
[A] 3
[B] 1
[C] 2
73
[D] 0
Topic 3 - Geometry and Measurement
88. How many fewer edges does a rectangular pyramid have than a hexagonal pyramid has?
[A] 2
[B] 3
[C] 5
[D] 4
Obj. 147 - Relate a 3-dimensional shape to its top and side views
89. Which three-dimensional shape has the following top, front, and right views?
[A]
[B]
[C]
[D]
74
Topic 3 - Geometry and Measurement
90. What are the top, front, and right-side views of the three-dimensional shape?
[A]
[B]
[C]
[D]
75
Topic 4 - Data Analysis, Statistics, and Probability
Obj. 148 - Answer a question using information from a circle graph using percentage
calculations
1. A group of 400 middle-school students were asked how they get to school each day. The
results are shown in the circle graph. How many of the students do not walk to school?
How Students Get
to School
Bicycle
45%
25%
10%
Walk
20%
Car
School Bus
[A] 390
[B] 220
[C] 360
[D] 300
2. Parklands Middle School held a singing contest. The four finalists each sang one final song
to be judged. There were 200 students who voted to determine the winner. The circle graph
shows the results of the vote. How many more votes did Leena get than Jacob?
Singing Contest Votes
Sharon
40%
35%
10%
Jacob
15%
Maria
[A] 10
Leena
[B] 5
[C] 15
76
[D] 40
Topic 4 - Data Analysis, Statistics, and Probability
Obj. 149 - Use a circle graph to organize data
3. A manufacturer of pet food has a total of 100 employees. The table below shows the number
of employees in each department.
Department
Production
Packaging
Sales
Administration
Quality Control
Number of Employees
35
25
20
15
5
Which circle graph correctly represents this data?
77
Topic 4 - Data Analysis, Statistics, and Probability
[A]
Production 30%
Packaging 25%
Quality Control 10%
Sales 20%
Administration 15%
[B]
Production 40%
Quality Control 5%
Packaging 30%
Administration 10%
Sales 15%
[C]
Production 35%
Packaging 30%
Quality Control 5%
Administration 10%
Sales 20%
[D]
Production 35%
Packaging 25%
Quality Control 5%
Sales 20%
Administration 15%
(3.)
78
Topic 4 - Data Analysis, Statistics, and Probability
4. The planning committee for a school dance asked Donna to predict how much money would
be made from the event. Donna predicted that $290 would be made from ticket sales, $140
would be made from food sales, and $70 would be made from drink sales. Which circle
graph correctly shows the percentages of money expected to be made from the ticket, food,
and drink sales?
[A]
Tickets 58%
Drinks 14%
Food 28%
[B]
Tickets 58%
Drinks 9%
Food 33%
[C]
Tickets 63%
Drinks 14%
Food 23%
[D]
Tickets 63%
Drinks 9%
Food 28%
79
Topic 4 - Data Analysis, Statistics, and Probability
Obj. 150 - Read a double stem-and-leaf plot
5. Erik made the following stem-and-leaf plot of the high temperatures for the first 10 days of
summer and winter.
Winter
Stem
6641
732
21
3
Key: 31° F
Summer
3
4
5
6
2
35
455
1489
32° F
1 3 2
How many summer days had a temperature in the 50s?
[A] 5
[B] 4
[C] 3
[D] 2
6. The Panthers basketball team played 12 home games and 12 away games in a season. The
stem-and-leaf plot shows the number of points they scored for each of their games.
Home
9
8
9
7
6
7
8
5
Key: 73
2
6
2
3
Stem
4
5
6
7
3 7 5
Away
4
2
3
5
6
3
6
6
9
6
9
9
75
What was the lowest number of points scored at a home game?
[A] 44
[B] 72
[C] 79
80
[D] 42
Topic 4 - Data Analysis, Statistics, and Probability
Obj. 151 - Answer a question using information from a double stem-and-leaf plot
7. The stem-and-leaf plot shows the monthly precipitation, in inches, in the cities of East Point
and Grandview over one year.
Monthly Precipitation
East Point
Stem
9841
7643
555
4
Key: 2.1 in.
2
3
4
5
Grandview
23778
279
145
2
1 2 2
2.2 in.
What was the total amount of precipitation in East Point for all the months with
3.3 inches of precipitation or less?
[A] 17.5 in.
[B] 29.4 in.
[C] 15.9 in.
[D] 13.5 in.
8. Kirsti and Terry were playing golf on a computer. As they learned to use the game controls,
the number of strokes they took per round decreased. The stem-and-leaf plot shows their
scores for each round. Lower scores are better.
Golf Scores
Kirsti
9
86431
54310
66542
Key: 79
Stem
Terry
7
8
9
10
4
02445
23455
12468
9 7 4
74
Kirsti and Terry calculated their average scores by adding their lowest and highest score and
dividing the result by 2. What was Terry’s average score?
[A] 87.5
[B] 92.5
[C] 91
81
[D] 76.5
Topic 4 - Data Analysis, Statistics, and Probability
Obj. 152 - Answer a question using information from a Venn diagram containing
summarized data
9. Every student in a class reads science fiction novels, adventure novels, or both. The Venn
diagram shows the number of students who read each type of novel.
Types of Novels Students Read
Science Fiction Adventure
5
3
17
How many students read adventure novels?
[A] 14
[B] 3
[C] 20
[D] 17
10. For a science project, Mrs. Wang asked every student in her class to research the life of
Thomas Edison or Jane Goodall. For extra credit, students could research both famous
people. The Venn diagram shows the number of students who researched each person.
Famous Scientists Researched
Thomas Edison Jane Goodall
16
3
15
How many more students researched only one scientist than researched both scientists?
[A] 31
[B] 25
[C] 3
82
[D] 28
Topic 4 - Data Analysis, Statistics, and Probability
Obj. 153 - Determine the mean of a set of data
11. The increases in height, in meters, of eight trees over a one-year period are listed below.
What is the mean of these increases?
0.84, 0.9, 1.18, 0.78, 1.02, 1.18, 0.98, 0.88
[A] 0.97 m
[B] 1.18 m
[C] 0.94 m
[D] 0.78 m
12. A charter fishing company in Alaska takes tourists into the Pacific Ocean to catch salmon.
One day the tourists caught 9 Chinook salmon. The weights of these salmon, in pounds, are
listed below. What is the mean weight of the salmon?
3
1
3
1
1
1
3
32 , 36 , 27 , 42 , 29 , 29 , 27 , 40, 31
4
2
4
2
4
2
4
[A] 27
3
lb
4
[B] 33 lb
[C] 31 lb
[D] 32
3
lb
4
Obj. 154 - Determine the mode(s) of a set of data
13. A gardener planted different varieties of dwarf sunflowers in 10 pots and measured the
height of each plant, in meters, at the end of the summer. Those heights are shown below.
What is the mode or modes of the heights?
0.97, 0.53, 0.74, 0.79, 0.59, 0.76, 0.86, 0.81, 0.71, 0.61
[A] 0.97 m
[B] 0.737 m
[C] 0.79 m
[D] no mode
14. The jump heights, in inches, for the top 10 female high jumpers at a college track meet are
shown below. What is the mode or modes of these heights?
1
1
3
1
3
1
3
3
69, 66 , 68 , 67 , 69, 68 , 67 , 67 , 67 , 66
2
2
4
2
4
2
4
4
[A] 67
3
in.
4
[B] 68
1
in. and 69 in.
2
[C] 68 in.
[D] no mode
Obj. 155 - Determine the median of a set of data
15. Ten teenagers were asked what they charge hourly for babysitting. The results are shown
below. What is the median of these prices?
$5.25, $4.75, $4.25, $5.00, $7.00, $4.00, $6.00, $4.00, $5.25, $4.00
[A] $4.95
[B] $4.00
[C] $4.88
83
[D] $7.00
Topic 4 - Data Analysis, Statistics, and Probability
16. The heights of fifteen 14-year-old boys were recorded at the beginning and end of one year.
The increases in height, measured in inches, of these boys are listed below. What is the
median height increase?
3
1 1
1
3
1
1
1
1
1 1
1
1 , 2 , 1 , 3 , 3 , 4 , 2 , 2, 3 , 4, 2 , 3, 2 , 1 , 3
4
2 4
4
4
4
2
4
2
4 2
4
[A] 2
1
in.
2
[B] 2
3
in.
4
[C] 3
1
in.
4
[D] 4
1
in.
4
Obj. 156 - WP: Use the mean of a data set to solve a problem
17. At Henry’s school, students take science, math, and English exams at the end of each school
year. Students who receive a mean score of at least 75% are given an award for
achievement. Henry has scored 76% on the science exam, and 78% on the math exam. What
is the lowest score Henry can get on the English exam and receive the award?
[A] 76%
[B] 78%
[C] 75%
[D] 71%
18. Mandy plays in a local golf tournament every month. The final score is the average of the
scores for 3 rounds. Mandy scored 88 in the first round and 82 in the second round. If she
wants a final score of 80, what does she need to score in the third round?
[A] 82
[B] 70
[C] 68
[D] 85
Obj. 157 - Use a proportion to make an estimate, related to a population, based on a sample
19. Scientists randomly caught 10 fruit bats at an orchard. They tagged the fruit bats and then
released them. Several weeks later, they captured 20 fruit bats at the same location. They
found that 5 of those fruit bats had tags. Assume the population of fruit bats does not
change. About how many fruit bats are at that orchard?
[A] 110
[B] 100
[C] 80
[D] 40
20. A manufacturer tests the quality of each batch of flash drives made. For testing purposes,
300 flash drives are selected at random from each batch. For one batch, 8 flash drives are
found to be faulty. If there are 3,000 flash drives in the batch, about how many flash drives
in the batch are likely to be faulty in all?
[A] 375
[B] 240
[C] 9
84
[D] 80
Topic 4 - Data Analysis, Statistics, and Probability
Obj. 158 - Determine all possible outcomes of an event
21. Kirsti wants to plant two kinds of flowers in some flower beds. She has three varieties from
which to choose: roses, daffodils, and daisies. What are all of the possible ways Kirsti could
choose two flower varieties?
[A] roses, daffodils
daffodils, day lilies
daisies, roses
[B] roses, daffodils
roses, daisies
daffodils, daisies
[C] roses, daffodils
roses, daisies
daffodils, roses
daisies, roses
[D] daisies, roses, daffodils
daffodils, daisies, roses
roses, daffodils, daisies
22. Four students are running for class president and three are running for vice-president. Aura,
Bryce, Claire, and David are running for president and Megan, Nick, and Tariq are running
for vice-president. Which tree diagram shows all of the possible combinations for class
president and vice-president?
[A]
Megan
Aura
Nick
Megan
Claire
Nick
Megan
Bryce
Nick
[B]
Bryce
Megan
David
Bryce
Aura
David
Bryce
Claire
David
Bryce
Nick
David
85
Topic 4 - Data Analysis, Statistics, and Probability
[C]
Bryce
Megan
Tariq
Nick
Aura
Megan
Tariq
Nick
Claire
Megan
Tariq
Nick
David
Megan
Tariq
Nick
[D]
Megan
Bryce
Nick
Megan
Aura
Nick
Megan
Claire
Nick
Megan
David
Nick
(22.)
86
Topic 4 - Data Analysis, Statistics, and Probability
Obj. 159 - Determine the probability for independent events
23. Each game wheel is divided into equal sections. The spinners on the game wheels are each
spun once and the number each spinner lands on is recorded.
5
1
4
5
2
1
4
2
3
3
Spinner 1
Spinner 2
What is the probability that both numbers are odd numbers?
[A]
9
25
[B]
3
5
[C]
2
3
[D]
3
4
24. The faces of an eight-sided solid are labeled 1 through 8. Each number has an equal chance
of being rolled. Two of these solids are rolled. What is the probability that a number less
than 5 is rolled on the first solid and a number less than 5 is rolled on the second solid?
[A]
3
16
[B]
1
8
[C]
87
3
64
[D]
1
4
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