Download Grade 6 - Midland ISD

Math Management Software
Grade 6
Second Edition
Texas Standards - Aligned
Library Guide
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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 - Determine the prime factorization of a number
using exponents.......................................................................................1
Obj. 2 - Determine the greatest common factor of three
numbers to 100........................................................................................1
Obj. 3 - Determine the least common multiple of three numbers .........1
Obj. 4 - WP: Determine the least common multiple of two
or more numbers .....................................................................................1
Obj. 5 - Apply divisibility rules for 3, 4, 6, and 9 ....................................2
Obj. 6 - Find the product of three identical factors ................................2
Obj. 7 - Determine the square of a whole number to 15 .........................2
Obj. 8 - Determine the cube of a whole number to 15 ............................2
Obj. 9 - Divide a whole number by a 1-digit whole number
resulting in a decimal quotient through thousandths ............................3
Obj. 10 - Divide a whole number by a 2-digit whole number
resulting in a decimal quotient through thousandths ............................3
Obj. 11 - WP: Divide a whole number by a 1- or 2-digit
whole number resulting in a decimal quotient .......................................3
Obj. 12 - WP: Solve a multi-step problem involving whole
numbers...................................................................................................3
Obj. 13 - Add fractions with unlike denominators using
a model and do not simplify the sum......................................................4
Obj. 14 - Add fractions with unlike denominators and do
not simplify the sum................................................................................5
Obj. 15 - Add fractions with unlike denominators that have
factors in common and simplify the sum................................................5
Obj. 16 - Add fractions with unlike denominators that have
no factors in common..............................................................................6
Obj. 17 - Add fractions with unlike denominators and simplify
the sum ....................................................................................................6
Obj. 18 - Subtract fractions with unlike denominators using
a model and do not simplify the difference ............................................6
Obj. 19 - Subtract fractions with unlike denominators and
do not simplify the difference .................................................................7
Obj. 20 - Subtract fractions with unlike denominators that
have factors in common and simplify the difference..............................7
Obj. 21 - Subtract fractions with unlike denominators that
have no factors in common .....................................................................8
Obj. 22 - Subtract fractions with unlike denominators and
simplify the difference.............................................................................8
Obj. 23 - Subtract a fraction from a whole number................................8
Obj. 24 - WP: Add or subtract fractions with unlike denominators
that have no factors in common..............................................................9
Obj. 25 - WP: Add or subtract fractions with unlike denominators
and simplify the sum or difference .........................................................9
Obj. 26 - Add mixed numbers with unlike denominators and
simplify the sum ......................................................................................10
Obj. 27 - Add mixed numbers with unlike denominators or
a mixed number and a fraction with unlike denominators and
simplify the sum.......................................................................................10
Obj. 28 - Subtract mixed numbers with unlike denominators
and simplify the difference......................................................................10
Obj. 29 - Subtract a mixed number from a whole number.....................11
Obj. 30 - Subtract mixed numbers with unlike denominators
or a mixed number and a fraction and simplify the difference ..............11
Obj. 31 - Add and subtract three unlike-denominator fractions,
mixed numbers, or fractions and mixed numbers, and simplify the
answer......................................................................................................11
Obj. 32 - WP: Add or subtract mixed numbers with unlike
denominators that have no factors in common ......................................12
Obj. 33 - WP: Add or subtract mixed numbers with unlike
denominators or a mixed number and a fraction with unlike
denominators and simplify the sum or difference..................................12
Obj. 34 - Represent a decimal number in expanded form using
powers of ten ...........................................................................................13
Obj. 35 - Determine the decimal number represented in expanded
form using powers of ten.........................................................................14
Obj. 36 - Determine the power of ten that relates a decimal
number and a whole number ..................................................................14
Obj. 37 - Determine the power of ten that relates two decimal
numbers...................................................................................................14
Obj. 38 - Add three decimal numbers.....................................................14
Obj. 39 - Add and subtract three decimal numbers ...............................15
Obj. 40 - WP: Add and subtract three decimal numbers .......................15
Obj. 41 - Convert a mixed number to a decimal number........................15
Obj. 42 - Convert a decimal number to a mixed number .......................16
Obj. 43 - Convert a fraction to a repeating decimal number ..................16
Obj. 44 - Determine the approximate percent of a region
shaded......................................................................................................16
Obj. 45 - Convert a decimal number to a percentage .............................17
Obj. 46 - Convert a percentage to a decimal number .............................17
Obj. 47 - Convert a fraction to a percentage ...........................................17
Obj. 48 - Convert a percentage to a fraction ...........................................18
Obj. 49 - Compare numbers in decimal and fractional forms................18
Obj. 50 - Order numbers in decimal and fractional forms.....................18
Obj. 51 - WP: Determine a ratio using whole numbers less
than 50.....................................................................................................18
Obj. 52 - Determine if ratios, using whole numbers less
than 50, are equivalent............................................................................19
Obj. 53 - WP: Determine a part given a ratio and the whole
where the whole is less than 50...............................................................19
Obj. 54 - WP: Determine a part given a ratio and another
part where the whole is less than 50 .......................................................19
Obj. 55 - WP: Determine the whole given a ratio and a part
where the whole is less than 50...............................................................20
Obj. 56 - WP: Determine a unit rate with a whole number
value.........................................................................................................20
Obj. 57 - WP: Use a unit rate, with a whole number or whole
cent value, to solve a problem .................................................................20
Obj. 58 - Evaluate a numerical expression of four or more
operations, with parentheses, using order of operations .......................21
Obj. 59 - Multiply a whole number by a unit fraction using
a model ....................................................................................................21
Obj. 60 - Multiply a whole number by a unit fraction ............................22
Obj. 61 - Divide a whole number by a unit fraction using
a model ....................................................................................................22
Obj. 62 - Divide a whole number by a unit fraction ...............................23
Obj. 63 - Divide a unit fraction by a whole number................................23
Obj. 64 - WP: Multiply or divide a whole number by a unit
fraction.....................................................................................................23
Obj. 65 - Multiply a decimal number through thousandths
by a whole number ..................................................................................23
Obj. 66 - WP: Multiply a decimal number through thousandths
by a whole number ..................................................................................24
Obj. 67 - WP: Multiply a money expression by a decimal
number ....................................................................................................24
Obj. 68 - Multiply a decimal number greater than one, in
tenths, by a decimal number in tenths....................................................24
Obj. 69 - Multiply decimal numbers to thousandths using
basic facts.................................................................................................24
Obj. 70 - Multiply decimal numbers less than one in hundredths
or thousandths.........................................................................................25
Obj. 71 - WP: Estimate the product of two decimals ..............................25
Obj. 72 - Divide a decimal number by 10, 100, or 1,000 ........................25
Obj. 73 - Relate division by a whole number power of ten
to multiplication by the related decimal fraction power of ten ..............25
Obj. 74 - Divide a decimal number through thousandths by
a 1- or 2-digit whole number where the quotient has 2-5 decimal places
Obj. 75 - WP: Divide a decimal number through thousandths
by a 1- or 2-digit whole number ..............................................................26
Obj. 76 - Divide a whole number or a decimal number by
0.1, 0.01, or 0.001....................................................................................26
Obj. 77 - Relate division by a decimal fraction power of
ten to multiplication by the related whole number power of ten...........27
Obj. 78 - Locate the decimal point in the quotient of a
whole number, or a decimal number, divided by a decimal number.....27
Obj. 79 - Divide a 1- to 3-digit whole number by a decimal
number to tenths where the quotient is a whole number.......................27
Obj. 80 - Determine a percent where a ratio, not in 100ths,
is given in words ......................................................................................27
Obj. 81 - Calculate a percent of a whole number where the
answer is a whole number .......................................................................28
Obj. 82 - WP: Calculate the percent of a whole number where
the answer is a whole number.................................................................28
Obj. 83 - Identify or locate an integer on a number line ........................28
Obj. 84 - Relate a real-life situation to an integer ..................................29
Topic 2 - Algebra..............................................................................................30
Obj. 85 - Determine which property of addition or multiplication
justifies a step in the simplification of an expression.............................30
Obj. 86 - Use a variable expression with two operations
to represent a verbal expression .............................................................30
Obj. 87 - Use a verbal expression to represent a variable
expression with two operations ..............................................................31
Obj. 88 - WP: Use a variable expression with two operations
to represent a situation ...........................................................................31
Obj. 89 - WP: Use a 2-variable equation to represent a
situation involving a direct proportion ...................................................31
Obj. 90 - WP: Use a 2-variable linear equation to represent
a situation ................................................................................................32
Obj. 91 - Evaluate a 1-variable expression, with two or
three operations, using whole number substitution...............................32
Obj. 92 - Evaluate a 2-variable expression, with two or
three operations, using whole number substitution...............................32
Obj. 93 - WP: Evaluate a 1- or 2-variable expression or
formula using whole numbers.................................................................33
Obj. 94 - Solve a 1-step equation involving whole numbers...................33
Obj. 95 - Solve a proportion ....................................................................34
26
Obj. 96 - WP: Generate a table of paired numbers based
on a variable expression with two operations.........................................34
Obj. 97 - Use a 2-variable equation to construct an input-output
table .........................................................................................................35
Obj. 98 - Use a 2-variable equation to represent a relationship
expressed in a table .................................................................................38
Obj. 99 - Use a first quadrant graph to represent the values
in an input-output table ..........................................................................38
Obj. 100 - Use a graph to determine the entries in an input-output
table .........................................................................................................41
Topic 3 - Geometry and Measurement............................................................43
Obj. 101 - Convert between customary units of length using
fractional amounts ..................................................................................43
Obj. 102 - Convert between customary units of capacity
using fractional amounts.........................................................................43
Obj. 103 - Convert between customary units of weight using
fractional amounts ..................................................................................43
Obj. 104 - WP: Compare customary units of length, weight,
or capacity using fractional amounts ......................................................44
Obj. 105 - Convert between metric units of capacity using
decimal amounts .....................................................................................44
Obj. 106 - Convert between metric units of mass using decimal
amounts ...................................................................................................44
Obj. 107 - Convert between millimeters or centimeters and
meters, or meters and kilometers using decimal amounts.....................45
Obj. 108 - WP: Compare metric units of length, mass, or
capacity using decimal amounts .............................................................45
Obj. 109 - WP: Add or subtract customary measures of capacity
requiring unit conversion........................................................................45
Obj. 110 - WP: Add or subtract metric measures of capacity
requiring unit conversion........................................................................46
Obj. 111 - WP: Add or subtract customary measures of weight
requiring unit conversion........................................................................46
Obj. 112 - WP: Add or subtract metric measures of mass
requiring unit conversion........................................................................46
Obj. 113 - WP: Multiply or divide customary measures of
capacity requiring unit conversion .........................................................47
Obj. 114 - WP: Multiply or divide metric measures of capacity
requiring unit conversion........................................................................47
Obj. 115 - WP: Multiply or divide customary measures of
weight requiring unit conversion ............................................................47
Obj. 116 - WP: Multiply or divide metric measures of mass
requiring unit conversion........................................................................48
Obj. 117 - Determine a time in different time zones ...............................48
Obj. 118 - Determine a temperature change given a picture
of thermometers ......................................................................................49
Obj. 119 - Measure an angle, between two rays or in a shape,
to the nearest degree ...............................................................................50
Obj. 120 - Classify an angle given its measure........................................51
Obj. 121 - Determine the missing angle measure in a triangle
given two other angle measures ..............................................................51
Obj. 122 - Determine the missing angle measure in a quadrilateral
given three other angle measures ...........................................................52
Obj. 123 - Determine the perimeter of a complex shape ........................53
Obj. 124 - Determine the area of a complex shape .................................54
Obj. 125 - WP: Determine the perimeter or the area of a
complex shape .........................................................................................55
Obj. 126 - Answer a question about the parts and relationships
in a circle..................................................................................................55
Obj. 127 - Determine the circumference of a circle using
3.14 for pi .................................................................................................56
Obj. 128 - WP: Determine the circumference of a circle ........................56
Obj. 129 - Estimate circumference, perimeter, or area...........................57
Obj. 130 - Determine the volume of a prism with a right
triangle base.............................................................................................58
Obj. 131 - Determine the surface area of a 3-dimensional
shape made from cubes...........................................................................59
Obj. 132 - Determine the measure of a missing angle using
straight and right angle relationships .....................................................60
Obj. 133 - Identify parallel, perpendicular, or intersecting
lines..........................................................................................................61
Obj. 134 - Identify congruent shapes shown on a grid or
within pattern block arrangements, with different orientations............62
Obj. 135 - Determine a length given a scale ............................................62
Obj. 136 - Use symmetry to determine a length or an angle
measure ...................................................................................................63
Obj. 137 - Determine the result of a reflection, a rotation,
or a translation on the Cartesian plane...................................................64
Obj. 138 - Determine the transformation that generates
the image of a figure in the Cartesian plane ...........................................66
Obj. 139 - Determine the location of an ordered pair of
nonnegative rational numbers on a coordinate plane ............................67
Obj. 140 - Determine the ordered pair of nonnegative rational
numbers that represents a point on a coordinate plane.........................68
Topic 4 - Data Analysis, Statistics, and Probability ........................................70
Obj. 141 - Read a double-line graph ........................................................70
Obj. 142 - Answer a question using information from a double-line
graph........................................................................................................72
Obj. 143 - Read a double- or stacked-bar graph .....................................74
Obj. 144 - Use a double- or stacked-bar graph to represent
data ..........................................................................................................75
Obj. 145 - Answer a question using information from a doubleor stacked-bar graph ...............................................................................80
Obj. 146 - Read a stem-and-leaf plot ......................................................81
Obj. 147 - Use a stem-and-leaf plot to represent data ............................82
Obj. 148 - Answer a question using information from a stem-and-leaf
plot ...........................................................................................................83
Obj. 149 - Validate a conclusion using information from
a display of data.......................................................................................84
Obj. 150 - Use a frequency table to represent 2 related
data sets ...................................................................................................86
Obj. 151 - Answer a question using information from a frequency
table representing 2 related data sets .....................................................87
Obj. 152 - Use a circle graph to represent percentage data ....................88
Obj. 153 - Determine the mean of a set of whole number
data ..........................................................................................................91
Obj. 154 - Determine the median of a set of whole number
data ..........................................................................................................91
Obj. 155 - Determine the mode or modes of a set of whole
number data ............................................................................................92
Obj. 156 - Determine the effect of a change in a data set
on the mean and/or median....................................................................92
Obj. 157 - Determine all possible outcomes of a compound
event using a tree diagram ......................................................................93
Obj. 158 - Determine an experimental probability given
a list of results..........................................................................................94
Obj. 159 - Determine the probability of a single event ...........................95
Obj. 160 - Determine the probability of the complement
of a single event .......................................................................................96
Obj. 161 - Make a prediction based on a theoretical probability ............96
Obj. 162 - Compare predictions from experimental and theoretical
probability ...............................................................................................97
Obj. 163 - Determine the number of possible combinations
of a set of objects .....................................................................................98
Topic 1 - Number Sense and Operations
Obj. 1 - Determine the prime factorization of a number using exponents
1. What is the prime factorization of 228?
[A] 2 3 ⋅ 3 ⋅ 19
[B] 2 2 ⋅ 57
[C] 2 2 ⋅ 3
[D] 2 2 ⋅ 3 ⋅ 19
[C] 2 2 ⋅ 53 ⋅ 7
[D] 2 3 ⋅ 33 ⋅ 7
2. What is the prime factorization of 540?
[A] 2 3 ⋅ 33 ⋅ 5
[B] 2 2 ⋅ 33 ⋅ 5
Obj. 2 - Determine the greatest common factor of three numbers to 100
3. What is the greatest common factor of 44, 12, and 26?
[A] 4
[B] 44
[C] 2
[D] 3
4. What is the greatest common factor of 66, 22, and 99?
[A] 99
[B] 11
[C] 13
[D] 12
Obj. 3 - Determine the least common multiple of three numbers
5. What is the least common multiple of 8, 52, and 10?
[A] 520
[B] 8
[C] 2
[D] 104
6. What is the least common multiple of 27, 51, and 3?
[A] 27
[B] 459
[C] 3
[D] 51
Obj. 4 - WP: Determine the least common multiple of two or more numbers
7. A mechanic bought bolts in three sizes. The smallest bolts cost 10 cents each. The next
larger-sized bolts cost 15 cents each, and the largest-sized bolts cost 20 cents each. The
mechanic spent as little money as possible, but spent the same amount on each bolt size.
How much did she spend on the largest bolts?
[A] $0.60
[B] $0.30
[C] $1.80
1
[D] $3.00
Topic 1 - Number Sense and Operations
8. Mr. Garza is putting a decorative border on one side of a flower bed. The border has two
rows of square paving stones. One row is made with stones 12 inches long and the other
row is made with stones that are 15 inches long. The rows are the same length. What is the
shortest possible length of the border?
[A] 300 in.
[B] 120 in.
[C] 60 in.
[D] 180 in.
Obj. 5 - Apply divisibility rules for 3, 4, 6, and 9
9. The two leading digits of each 6-digit number are not shown. Which number is divisible by
4?
[A] * * 5, 8 7 4
[B] * * 5, 8 7 2
[C] * * 4, 3 7 5
[D] * * 4, 3 7 0
10. The sum of the digits of a large number is 81. Using the divisibility rules, by which
number or numbers is the large number divisible?
[A] only 3
[B] 3 and 6
[C] 3 and 9
[D] 3, 6, and 9
11. From left to right, the first three digits of a 4-digit number add up to 13. Which digit could
be in the ones place if the 4-digit number is divisible by 3?
[A] 4
[B] 3
[C] 1
[D] 2
Obj. 6 - Find the product of three identical factors
12. 4 × 4 × 4 =
[A] 16
[B] 444
[C] 64
[D] 256
13. 40 × 40 × 40 =
[A] 120
[B] 1,600
[C] 1,640
[D] 64,000
Obj. 7 - Determine the square of a whole number to 15
14. 12 =
[A] 11
[B] 12
[C] 2
[D] 1
15. 82 =
[A] 64
[B] 16
[C] 10
[D] 82
Obj. 8 - Determine the cube of a whole number to 15
16. What is the value of 5 cubed?
[A] 15
2
[B] 53
[C] 125
[D] 555
Topic 1 - Number Sense and Operations
17. 103 =
[A] 1,000
[B] 13
[C] 1,100
[D] 30
Obj. 9 - Divide a whole number by a 1-digit whole number resulting in a decimal quotient
through thousandths
18. Divide: 18 ÷ 8
[A] 2.025
[B] 1.125
[C] 2.25
[D] 2.15
19. Divide: 73 ÷ 8
[A] 91.35
[B] 9.125
[C] 91.25
[D] 9.135
Obj. 10 - Divide a whole number by a 2-digit whole number resulting in a decimal quotient
through thousandths
20. Divide: 14 ÷ 50
[A] 0.028
[B] 0.872
[C] 0.38
[D] 0.28
21. Divide: 60 ÷ 75
[A] 0.92
[B] 0.8
[C] 0.08
[D] 0.82
Obj. 11 - WP: Divide a whole number by a 1- or 2-digit whole number resulting in a
decimal quotient
22. Paul’s parents bought a television for $714. They plan to pay for it in 12 monthly payments
with no interest. How much will the payments be each month?
[A] $59.50
[B] $59.75
[C] $69.50
[D] $60.70
23. Olivia’s family drove 138 miles from Washington, D.C. to Philadelphia. They drove at a
speed of 50 miles per hour. How many hours did it take Olivia’s family to drive from
Washington, D.C. to Philadelphia?
[A] 2.21 hr
[B] 2.76 hr
[C] 2.96 hr
[D] 1.76 hr
Obj. 12 - WP: Solve a multi-step problem involving whole numbers
24. Ahmed works as an electrician. When he installs television cables in new homes, he
charges $111 for supplies for each home and $30 for each hour he works. How much did
Ahmed charge last month if he worked 90 hours installing television cables in
8 new homes?
[A] $3,588
[B] $2,819
[C] $2,811
3
[D] $3,699
Topic 1 - Number Sense and Operations
25. One day Mr. Scott drove for 8 hours at an average speed of 49 miles per hour. The next
day Mr. Scott drove for 7 hours at an average speed of 60 miles per hour. How many more
miles did Mr. Scott drive the second day than he drove the first day?
[A] 26 mi
[B] 11 mi
[C] 10 mi
[D] 28 mi
26. Tala has $114. She buys 2 pairs of shorts for $14 each and 4 pairs of socks for
$6 each. How much money does Tala have left?
[A] $94
[B] $62
[C] $30
[D] $166
Obj. 13 - Add fractions with unlike denominators using a model and do not simplify the
sum
27. What is
[A]
1
8
28. What is
[A]
10
18
1 1
+ ? It is not necessary to simplify the answer.
4 8
[B]
2
12
[C]
3
8
[D]
2
8
[D]
18
15
2 8
+ ? It is not necessary to simplify the answer.
3 15
[B]
10
15
[C]
4
2
15
Topic 1 - Number Sense and Operations
Obj. 14 - Add fractions with unlike denominators and do not simplify the sum
29. Add:
[A]
30.
2 3
+
4 8
5
8
2
3
8
+
9
[A]
(It is not necessary to simplify the answer.)
[B]
5
12
[C]
7
8
[D]
27
32
[D]
10
27
(It is not necessary to simplify the answer.)
14
9
[B]
41
27
[C]
10
12
Obj. 15 - Add fractions with unlike denominators that have factors in common and
simplify the sum
31. Add:
[A]
32.
1 7
+
3 15
3
5
3
8
3
+
16
[A]
9
16
(Simplify the answer if possible.)
[B]
8
45
[C]
4
5
[D]
4
9
[C]
3
64
[D]
1
4
(Simplify the answer if possible.)
[B]
1
2
5
Topic 1 - Number Sense and Operations
Obj. 16 - Add fractions with unlike denominators that have no factors in common
33. Add:
[A]
34.
1 5
+
2 7
2
3
6
7
1
+
2
(Simplify the answer if possible.)
[B] 1
3
14
[C]
3
7
[D] 1
2
7
[D] 2
1
9
(Simplify the answer if possible.)
[A] 1
5
14
7
9
[B]
[C] 1
3
7
Obj. 17 - Add fractions with unlike denominators and simplify the sum
35. Add:
5 1
+
6 10
[A]
3
8
36. Add:
11 9
+
15 10
[A] 8
1
5
[B]
1
6
[B] 1
[C]
19
30
14
15
[D]
13
15
2
3
[D]
2
3
[C] 1
Obj. 18 - Subtract fractions with unlike denominators using a model and do not simplify
the difference
37. What is
[A]
6
6
8 2
− ? It is not necessary to simplify the answer.
9 3
[B]
6
9
[C]
6
2
9
[D]
3
9
Topic 1 - Number Sense and Operations
38. What is
[A]
19 3
− ? It is not necessary to simplify the answer.
20 10
13
20
[B]
14
20
[C]
16
10
[D]
16
20
Obj. 19 - Subtract fractions with unlike denominators and do not simplify the difference
39. Subtract:
[A]
40.
3
8
13
15
2
−
5
[A]
7 1
−
8 4
(It is not necessary to simplify the answer.)
[B]
5
8
[C]
2
8
[D]
4
8
[D]
5
15
(It is not necessary to simplify the answer.)
4
15
[B]
6
15
[C]
7
15
Obj. 20 - Subtract fractions with unlike denominators that have factors in common and
simplify the difference
41. Subtract:
[A]
5
8
3 4
−
4 8
(Simplify the answer if possible.)
[B]
9
32
[C]
7
1
4
[D]
1
2
Topic 1 - Number Sense and Operations
42.
6
8
1
−
4
[A]
(Simplify the answer if possible.)
17
32
[B] 1
1
4
[C]
1
2
[D]
15
32
Obj. 21 - Subtract fractions with unlike denominators that have no factors in common
43. Subtract:
[A]
44.
1
3
5
7
1
−
5
[A]
8 1
−
9 2
(Simplify the answer if possible.)
[B]
7
18
[C]
2
9
[D]
1
2
[C]
18
35
[D]
16
35
(Simplify the answer if possible.)
3
7
[B]
19
35
Obj. 22 - Subtract fractions with unlike denominators and simplify the difference
45. Subtract:
3 3
−
8 18
[A]
5
24
[B]
29
144
[C]
31
72
[D]
5
12
46. Subtract:
3
1
−
14 18
[A]
41
252
[B]
1
63
[C]
1
2
[D]
10
63
Obj. 23 - Subtract a fraction from a whole number
47. Subtract: 3 −
3
4
[A] 2
1
2
[B] 1
8
1
2
[C] 2
1
4
[D] 1
3
4
Topic 1 - Number Sense and Operations
48. Subtract: 8 −
13
20
[A] 7
7
20
[B] 7
9
20
[C] 7
3
10
[D] 6
19
20
Obj. 24 - WP: Add or subtract fractions with unlike denominators that have no factors in
common
1
1
teaspoon of salt and teaspoon of pepper. What is the total amount
4
3
of salt and pepper added to the recipe? Simplify the answer if possible.
49. A recipe calls for
[A]
5
tsp
12
[B]
2
tsp
7
[C]
5
tsp
7
[D]
7
tsp
12
50. At his health club, Haresh likes to use exercise bikes and weights. He spends
2
hour on
3
1
hour less than that on the weights. How much time does he spend on the
5
weights? Simplify the answer if possible.
the bikes and
[A]
7
hr
15
[B]
14
hr
15
[C]
1
hr
15
[D]
8
hr
15
Obj. 25 - WP: Add or subtract fractions with unlike denominators and simplify the sum or
difference
2
9
yard of red ribbon and
yard of purple
15
10
ribbon. How much more purple ribbon did Ross use than red ribbon?
51. Ross decorated a bulletin board. He used
[A]
7
yd
10
[B]
23
yd
30
[C]
11
yd
25
[D]
7
yd
30
3
1
yard of pink fabric and yard of green fabric for a sewing project. How
10
4
much fabric does Jean need for the sewing project?
52. Jean needs
[A]
11
yd
20
[B]
5
yd
6
[C]
9
3
yd
40
[D]
2
yd
7
Topic 1 - Number Sense and Operations
Obj. 26 - Add mixed numbers with unlike denominators and simplify the sum
53. Add: 9
1
1
+5
2
12
[A] 14
54.
13
24
1
4
5
+ 5
12
9
(Simplify the answer if possible.)
[B] 14
7
12
[C] 15
7
12
[D] 14
1
2
[C] 14
17
24
[D] 15
2
3
(Simplify the answer if possible.)
[A] 14
2
3
[B] 14
31
48
Obj. 27 - Add mixed numbers with unlike denominators or a mixed number and a fraction
with unlike denominators and simplify the sum
55. Add: 2
56. Add: 1
9
11
+2
10
15
11 3
+
14 10
[A] 4
11
15
[B] 5
31
50
[C] 4
4
5
[D] 5
19
30
[A] 2
3
35
[B] 1
3
10
[C] 1
1
6
[D] 1
27
70
Obj. 28 - Subtract mixed numbers with unlike denominators and simplify the difference
57. Subtract: 7
[A] 6
16
27
2
1
−1
3
9
(Simplify the answer if possible.)
[B] 5
5
9
[C] 6
10
5
9
[D] 6
17
27
Topic 1 - Number Sense and Operations
58.
4
5
9
− 4
10
9
[A] 4
(Simplify the answer if possible.)
9
10
[B] 4
1
10
[C] 5
9
10
[D] 5
1
10
Obj. 29 - Subtract a mixed number from a whole number
3
4
[A] 8
1
2
[B] 8
1
4
[C]
3
4
[D] 9
1
15
[A] 1
1
15
[B] 4
2
3
[C]
13
15
[D]
59. Subtract: 10 − 1
60. Subtract: 6 − 5
3
4
14
15
Obj. 30 - Subtract mixed numbers with unlike denominators or a mixed number and a
fraction and simplify the difference
5
7
61. Subtract: 10 − 2
6
8
62. Subtract: 7
[A] 7
17 9
−
18 10
[A] 1
11
12
22
45
[B] 7
[B] 6
1
9
23
24
[C] 1
[C] 7
3
4
2
45
[D]
11
12
[D] 3
1
20
Obj. 31 - Add and subtract three unlike-denominator fractions, mixed numbers, or
fractions and mixed numbers, and simplify the answer
63.
1 4 7
+ −
=
4 9 12
[A]
64.
5 1
7
− +3 =
8 6
10
[A] 4
1
3 9
65. 5 + 3 − =
4
8 10
7
18
[B]
37
240
[A] 19
1
9
[B] 2
1
2
[C]
109
120
[B] 7
11
49
432
[D] 2
5
12
[D] 4
[C] 3
29
40
[C] 7
231
320
19
120
[D] 2
31
40
Topic 1 - Number Sense and Operations
Obj. 32 - WP: Add or subtract mixed numbers with unlike denominators that have no
factors in common
66. For a school project, Zak is keeping a log of his activities. One day, he spent
1
4
1 hours reading for fun and 2 hours doing homework. How much time did he spend
3
5
reading and doing homework in all? Simplify the answer if possible.
[A] 4
8
hr
15
[B] 3
5
hr
8
[C] 3
1
hr
3
[D] 4
2
hr
15
2
3
feet. The length is 5 feet. By how much does the
3
8
length exceed the width? Simplify the answer if possible.
67. The width of a piece of plywood is 3
[A] 2
7
ft
24
[B] 2
1
ft
4
[C] 1
2
ft
3
[D] 1
17
ft
24
Obj. 33 - WP: Add or subtract mixed numbers with unlike denominators or a mixed
number and a fraction with unlike denominators and simplify the sum or difference
68. For science class, students weigh the textbooks that they carry and use at school. One of
3
3
pounds. Another textbook weighs 1
pounds. How much do
the textbooks weighs 3
16
10
the books weigh together?
[A] 4
27
lb
40
[B] 4
39
lb
80
[C] 4
3
lb
13
[D] 3
9
lb
160
3
5
gallons of fuel one day, and 24 gallons of fuel the next
10
8
day. How many more gallons did the car use on the first day?
69. On a recent trip, a car used 29
[A] 53
37
gal
40
[B] 5
27
gal
40
[C] 4
12
27
gal
40
[D] 5
3
gal
10
Topic 1 - Number Sense and Operations
70. During lunch, a pizza restaurant sells pizza by the slice. One day they sold
vegetable pizza and 4
5
of a
8
7
sausage pizzas. How many pizzas of those two types did they
10
sell?
[A] 5
13
40
[B] 4
7
10
[C] 4
13
40
[D] 4
2
3
Obj. 34 - Represent a decimal number in expanded form using powers of ten
71. What is 62.58 written in expanded form?
[A]
[C]
[D]
b6 × 10g + b2 × 1g + b5 × 1g + FGH 8 × 101 IJK [B] b6 × 10g + b2 × 1g + b5 × 10g + b8 × 1g
b6 × 10g + b2 × 1g + FGH5 × 101 IJK + FGH 8 × 1001 IJK
1 I
b6 × 10g + b2 × 1g + FGH5 × 1001 IJK + FGH 8 × 1,000
JK
72. What is 19.813 written in expanded form?
[A]
[B]
[C]
[D]
1 I F
b1 × 10g + b9 × 1g + FGH 8 × 1,000
JK + GH1 × 1001 IJK + FGH 3 × 101 IJK
1 I
b1 × 10g + b9 × 1g + b8 × 10g + FGH1 × 1001 IJK + FGH 3 × 1,000
JK
1 I
b1 × 10g + b9 × 1g + FGH 8 × 101 IJK + FGH1 × 1001 IJK + FGH 3 × 1,000
JK
b1 × 10g + b9 × 1g + b8 × 1g + b1 × 10g + b3 × 100g
13
Topic 1 - Number Sense and Operations
Obj. 35 - Determine the decimal number represented in expanded form using powers of ten
b
g b g FGH
73. What is 7 × 10 + 3 × 1 + 5 ×
[A] 703.56
b
IJ
K
[B] 73.506
g b g FGH
74. What is 5 × 10 + 2 × 1 + 9 ×
[A] 520.981
IJ FG
K H
1
1
written in standard form?
+ 6×
10
100
[C] 730.56
IJ FG
K H
IJ FG
K H
[D] 73.56
IJ
K
1
1
1
written in standard form?
+ 1×
+ 8×
1,000
10
100
[B] 52.981
[C] 52.819
[D] 529.81
Obj. 36 - Determine the power of ten that relates a decimal number and a whole number
75. What number goes in the box?
8,621 ×
= 0.8621
[A] 100
[B] 10,000
76. What number goes in the box?
0.9 ×
= 90
[C] 0.0001
[A] 0.1
[B] 100
[D] 0.001
[C] 0.01
[D] 10
Obj. 37 - Determine the power of ten that relates two decimal numbers
77. What number goes in the box?
5151
.
×
= 0.5151
[A] 0.1
[B] 0.01
[C] 100
[D] 10
78. What number goes in the box?
0.8 ×
= 0.08
[A] 0.01
[B] 0.1
[C] 10
[D] 100
Obj. 38 - Add three decimal numbers
79. Add: 180.68 + 1499
.
+ 28.3004
[A] 209.3794
[B] 210.3794
[C] 210.4894
14
[D] 210.4794
Topic 1 - Number Sense and Operations
80. Add: 46.0082 + 7.218 + 12
.
[A] 54.4262
[B] 55.4262
[C] 55.5262
[D] 54.3262
Obj. 39 - Add and subtract three decimal numbers
81. 0.6604 − 0.6291 + 0.3796 =
[A] 0.4209
[B] 0.4119
[C] 0.4109
[D] 0.411
[C] 1.0984
[D] 0.9974
82. 0.957 − 0.006 + 0.0474 =
[A] 0.9984
[B] 0.9985
Obj. 40 - WP: Add and subtract three decimal numbers
83. On Monday, Anya had $37.23 in her piggy bank. On Monday night, she put all the change
from her pocket into the piggy bank. Tuesday morning, she added $3.17, making the total
in the piggy bank $41.08. How much did she put in the piggy bank Monday night?
[A] $3.85
[B] $0.68
[C] $0.58
[D] $7.02
84. A cook puts 0.425 L of vinegar into a container and adds herbs and spices. The herbs and
spices raise the liquid level by 0.061 L. Then the cook adds olive oil until the liquid level is
1.75 L. How much olive oil does the cook add to the container?
[A] 1.264 L
[B] 1.164 L
[C] 1.364 L
[D] 2.236 L
Obj. 41 - Convert a mixed number to a decimal number
7
85. What decimal number is equivalent to 2 ?
8
[A] 2.865
[B] 2.975
86. What decimal number is equivalent to 7
[A] 7.108
[C] 2.875
[D] 2.7175
[C] 7.218
[D] 7.1108
26
?
125
[B] 7.208
15
Topic 1 - Number Sense and Operations
Obj. 42 - Convert a decimal number to a mixed number
87. Which mixed number is equivalent to 9.5?
[A] 9
1
3
[B] 10
1
2
[C] 9
1
5
[D] 9
1
2
[C] 9
63
100
[D] 10
88. Which mixed number is equivalent to 9.635?
[A] 9
1
635
[B] 9
127
200
127
200
Obj. 43 - Convert a fraction to a repeating decimal number
89. What decimal number is equivalent to
[A] 0.52
[B] 0.5
90. What decimal number is equivalent to
[A] 0.87
2
?
3
[C] 0.6
[D] 0.516
[C] 0.89
[D] 0.718
8
?
9
[B] 0.8
Obj. 44 - Determine the approximate percent of a region shaded
91. The first rectangle is divided into fourths. About what percent of the second rectangle is
shaded?
[A] 90%
[B] 10%
[C] 60%
16
[D] 75%
Topic 1 - Number Sense and Operations
92. About what percent of the circle is shaded?
[A] 75%
[B] 40%
[C] 20%
[D] 60%
Obj. 45 - Convert a decimal number to a percentage
93. What is 0.25 written as a percent?
[A] 2.5%
[B] 25%
[C] 0.0025%
[D] 0.025%
[C] 0.065%
[D] 6.5%
94. What is 0.65 written as a percent?
[A] 65%
[B] 0.0065%
Obj. 46 - Convert a percentage to a decimal number
95. What is 43% written as a decimal?
[A] 4.3
96. What is 95% written as a decimal?
[A] 0.95
[B] 0.43
[C] 43.0
[B] 0.0095
[D] 0.043
[C] 9.5
Obj. 47 - Convert a fraction to a percentage
97. What is
2
written as a percent? Round the answer to the nearest percent.
9
[A] 23%
98. What is
[B] 22%
[C] 45%
[D] 46%
49
written as a percent? Round the answer to the nearest percent.
50
[A] 10%
[B] 11%
[C] 97%
17
[D] 98%
[D] 9,500
Topic 1 - Number Sense and Operations
Obj. 48 - Convert a percentage to a fraction
99. What is 22% written as a fraction?
[A]
1
5
100. What is 74% written as a fraction?
[A]
1
25
11
50
[B]
[B]
[C]
19
25
11
500
[C]
[D]
37
49
1
22
[D]
37
50
Obj. 49 - Compare numbers in decimal and fractional forms
3
< 0.516
7
101. Which statement is true?
[A]
102. Which statement is true?
[A] 7.213 < 7
[B]
2
3
3
> 0.516
7
[B] 7.213 > 7
[C]
2
3
3
= 0.516
7
[C] 7.213 = 7
2
3
Obj. 50 - Order numbers in decimal and fractional forms
103. Which list shows the numbers in order from least to greatest?
1
6
[A] 5 , 5.7, 5
3
7
1 6
[B] 5.7, 5 , 5
3 7
6
1
[C] 5 , 5.7, 5
7
3
1 6
[D] 5 , 5 , 5.7
3 7
104. Which list shows the numbers in order from greatest to least?
1
1
[A] 4.8, 4 , 4
3
2
1
1
[B] 4 , 4 , 4.8
2
3
1
1
[C] 4 , 4.8, 4
3
2
1
1
[D] 4.8, 4 , 4
2
3
Obj. 51 - WP: Determine a ratio using whole numbers less than 50
105. An animal shelter currently has 35 cats, 10 dogs, and 15 rabbits. What is the ratio of cats to
dogs in the animal shelter?
[A]
1
25
[B]
2
7
[C]
18
7
2
[D]
7
3
Topic 1 - Number Sense and Operations
106. Mr. Siham is baking brownies for a school party. The recipe makes 45 brownies and calls
for 3 cups of sugar and 9 eggs. What is the ratio of brownies to eggs?
[A] 5:1
[B] 3:1
[C] 1:15
[D] 5:4
Obj. 52 - Determine if ratios, using whole numbers less than 50, are equivalent
107. Which ratio is equivalent to the ratio 7:9?
[A] 28 to 18
[B] 36 to 14
[C] 14:36
[D] 28:36
[C] 5:9
[D] 10:9
108. Which ratio is equivalent to the ratio 27:30?
[A] 9 to 10
[B] 9 to 5
Obj. 53 - WP: Determine a part given a ratio and the whole where the whole is less than 50
109. A pizza shop sold 45 pizzas on Friday. The ratio of pepperoni pizzas sold to the total
number of pizzas sold was 5:9. How many pepperoni pizzas did the pizza shop sell on
Friday?
[A] 20
[B] 9
[C] 25
[D] 5
110. On Sunday, Greta and her grandmother planted a total of 21 flowers. The ratio of yellow
flowers they planted to the total number of flowers they planted was 2:7. How many
yellow flowers did Greta and her grandmother plant on Sunday?
[A] 3
[B] 15
[C] 6
[D] 10
Obj. 54 - WP: Determine a part given a ratio and another part where the whole is less than
50
111. There are 14 shirts in Keith’s dresser. The ratio of shirts to shorts in Keith’s dresser is
7 to 3. How many pairs of shorts are in the dresser?
[A] 42
[B] 21
[C] 6
[D] 2
112. Felix bought 15 cases of juice for a party. He bought 6 cases of bottled water for every
5 cases of juice he bought for the party. How many cases of bottled water did Felix buy?
[A] 13
[B] 18
[C] 75
19
[D] 90
Topic 1 - Number Sense and Operations
Obj. 55 - WP: Determine the whole given a ratio and a part where the whole is less than 50
113. In a gym class, the ratio of girls to the total number of students is 3:8. There are 15 boys in
the gym class. How many students are in the gym class?
[A] 18
[B] 45
[C] 75
[D] 24
114. On Saturday, a middle school tennis team played in a tournament. The ratio of matches
won to the total number of matches played was 4:5. The middle school tennis team lost
3 matches. How many total matches did the team play?
[A] 3
[B] 15
[C] 7
[D] 12
Obj. 56 - WP: Determine a unit rate with a whole number value
115. During a computer class, students completed a typing exercise. Robert typed 408 words in
12 minutes. How many words per minute did Robert type?
[A] 34 words per minute
[B] 46 words per minute
[C] 19 words per minute
[D] 35 words per minute
116. In July, Makani did yard work for a total of 28 hours. For all the hours Makani worked, he
earned $308. How much money did Makani make per hour doing yard work?
[A] $9 per hour
[B] $11 per hour
[C] $8 per hour
[D] $39 per hour
Obj. 57 - WP: Use a unit rate, with a whole number or whole cent value, to solve a problem
117. Harry is at the store buying cheese. The cost of the cheese is $0.37 per ounce. He buys
10 ounces of the cheese. How much money does Harry spend on the cheese?
[A] $3.70
[B] $3.60
[C] $7.20
[D] $7.40
118. At the supermarket, a certain brand of plain yogurt comes in three different sizes. The
6-ounce container of yogurt costs $0.66. The 16-ounce container of yogurt costs $1.92. The
32-ounce container of yogurt costs $2.88. Which size is the best deal?
[A] 32 oz container
[B] 6 oz container
[C] 16 oz container
[D] All three sizes have the same unit cost.
20
Topic 1 - Number Sense and Operations
Obj. 58 - Evaluate a numerical expression of four or more operations, with parentheses,
using order of operations
b g b g
119. Evaluate: 6 × 8 − 5 + 3 × 6
b
g
120. Evaluate: 20 × 5 + 35 ÷ 5 − 3
b g b
[A] 30
[B] 36
[C] 61
[D] 33
[A] 157
[B] 156
[C] 400
[D] 24
g
121. Evaluate:13 × 5 + 4 − 26 ÷ 13 − 4
[A] 63
[B] 112
[C] 98
[D] 111
Obj. 59 - Multiply a whole number by a unit fraction using a model
122. What is
1
× 18?
6
18
[A] 4
[B] 6
[C] 3
123. Divide each fraction bar into 5 equal sections. Shade in
[D] 18
1
of each bar. How many fifths
5
are shaded?
1
3× =
5
[A]
2
3
[B]
3
5
[C]
21
2
5
1
6
[D]
5
3
Topic 1 - Number Sense and Operations
Obj. 60 - Multiply a whole number by a unit fraction
124. Multiply: 2 ×
[A] 3
1
10
(Simplify the answer if possible.)
1
10
125. Multiply:
[A] 12
[B] 2
1
× 12
15
1
10
[C]
1
5
[D] 1
1
10
(Simplify the answer if possible.)
1
15
[B]
13
15
[C] 12
13
15
[D]
4
5
Obj. 61 - Divide a whole number by a unit fraction using a model
1
126. Use the diagram to find 3 ÷ .
5
1
1
[A] 15
[B]
5
3
[C] 3
1
1
5
1
127. Use the number line to find 5 ÷ .
6
1
6
0
[A]
1
6
1
2
3
[B] 30
4
[C]
22
6
5
5
[D] 5
[D]
1
5
Topic 1 - Number Sense and Operations
Obj. 62 - Divide a whole number by a unit fraction
128. Divide: 2 ÷
1
3
[A] 5
129. Divide: 3 ÷
1
10
[A] 3
[B]
1
3
2
3
[C] 1
[B] 13
1
2
[D] 6
[C] 30
[D]
3
10
[D]
1
2
[D]
1
63
Obj. 63 - Divide a unit fraction by a whole number
130. Divide:
1
÷5
10
[A]
1
15
[B]
1
50
[C] 2
131. Divide:
1
÷9
7
[A]
9
7
[B]
7
9
[C]
1
64
Obj. 64 - WP: Multiply or divide a whole number by a unit fraction
132. A toy factory produced 3,570 toys yesterday. When the toys were packaged, extra parts
1
were included with of them. How many of the packages of toys included extra parts?
3
[A] 2,379
[B] 1,191
[C] 1,190
133. A developer divided 11 acres of land into lots that are
[D] 3,567
1
acre each. How many lots did the
3
developer have after dividing the land?
[A] 33
[B] 24
[C] 34
[D] 43
Obj. 65 - Multiply a decimal number through thousandths by a whole number
134. 0.09 × 79 =
135.
0.934
× 37
[A] 61.1
[A] 345.58
[B] 7.11
[B] 344.58
23
[C] 71.1
[C] 34.558
[D] 6.11
[D] 34.458
Topic 1 - Number Sense and Operations
Obj. 66 - WP: Multiply a decimal number through thousandths by a whole number
136. A chicken eats 0.131 kg of grain per day. How much grain does the chicken eat in 31 days?
[A] 1.506 kg
[B] 4.061 kg
[C] 0.406 kg
[D] 12.710 kg
137. A book weighs 0.425 kg. A printing company packs 27 copies of the book in a box. How
much do the books in the box weigh?
[A] 8.0175 kg
[B] 12.475 kg
[C] 8.175 kg
[D] 11.475 kg
Obj. 67 - WP: Multiply a money expression by a decimal number
138. One ounce of green tea costs $4.44. How much does Gil pay for 3.31 ounces of green tea?
[A] $14.70
[B] $7.75
[C] $8.76
[D] $12.54
139. Mrs. Fireside drives a total of 19.8 miles to work and back each day. It costs her $0.15 to
drive one mile. How much does it cost Mrs. Fireside to drive to work and back each day?
[A] $19.12
[B] $3.97
[C] $19.95
[D] $2.97
Obj. 68 - Multiply a decimal number greater than one, in tenths, by a decimal number in
tenths
140. Multiply: 8.8 × 01
.
141.
7.9
× 0.7
[A] 0.88
[A] 5.53
[B] 0.088
[B] 0.0553
[C] 88.00
[C] 0.553
[D] 8.8
[D] 55.3
Obj. 69 - Multiply decimal numbers to thousandths using basic facts
142. Multiply: 0.02 × 0.04
143.
0.009
× 0.02
[A] 0.00018
[A] 0.00008
[B] 18
24
[B] 0.8
[C] 0.008
[C] 0.018
[D] 0.0008
[D] 0.18
Topic 1 - Number Sense and Operations
Obj. 70 - Multiply decimal numbers less than one in hundredths or thousandths
144. Multiply: 0.34 × 012
.
145.
0109
.
× 0.47
[A] 0.408
[A] 0.05123
[B] 4.08
[B] 0.05023
[C] 0.0408
[C] 0.5123
[D] 0.00408
[D] 0.5023
Obj. 71 - WP: Estimate the product of two decimals
146. Tamsyn is painting a prop for her school play. The prop is a rectangle that measures
4.67 feet by 9.67 feet. About how much area will she need to paint?
[A] 25 ft 2
[B] 13 ft 2
[C] 15 ft 2
[D] 50 ft 2
147. A television screen’s width is 1.778 times its height. If its height is 20.6 inches, about how
wide is the screen?
[A] 28 in.
[B] 46 in.
[C] 4.2 in.
[D] 42 in.
Obj. 72 - Divide a decimal number by 10, 100, or 1,000
148. 7.96 ÷ 10 =
[A] 796
[B] 0.796
[C] 0.0796
[D] 79.6
149. 4.2 ÷ 100 =
[A] 4.2
[B] 0.0042
[C] 0.042
[D] 0.42
150. 2.3 ÷ 1,000 =
[A] 0.0023
[B] 0.23
[C] 0.023
[D] 0.00023
Obj. 73 - Relate division by a whole number power of ten to multiplication by the related
decimal fraction power of ten
151. Which expression gives the same results as 12
. ÷ 100?
[A] 0.001 × 12
.
[B] 12
. × 0.0001
[C] 12
. × 01
.
[D] 12
. × 0.01
152. Which expression gives the same results as 0.001 × 177
. ?
[A] 177
. ÷ 100
[B] 177
. ÷ 10
[C] 177
. ÷ 10,000
25
[D] 177
. ÷ 1,000
Topic 1 - Number Sense and Operations
Obj. 74 - Divide a decimal number through thousandths by a 1- or 2-digit whole number
where the quotient has 2-5 decimal places
153. Divide: 7.2 ÷ 96
[A] 0.702
[B] 7.5
[C] 0.075
[D] 0.175
154. Divide: 0.63 ÷ 3
[A] 2.1
[B] 0.21
[C] 0.603
[D] 6.03
155. Divide: 9.176 ÷ 8
[A] 11.47
[B] 1147
[C] 114.7
[D] 1.147
Obj. 75 - WP: Divide a decimal number through thousandths by a 1- or 2-digit whole
number
156. A scientist has a 52.2 mL water sample. She needs to run 20 different tests on the sample.
If she uses the same amount of water for each test and uses all the water, how much water
will be used in each test?
[A] 0.383 mL
[B] 2.61 mL
[C] 0.261 mL
[D] 0.038 mL
157. A cereal box contains 16.06 ounces of cereal. This amounts to approximately
16 servings. How many ounces are in each serving?
[A] 10.04 oz
[B] 9.04 oz
[C] 1.00 oz
[D] 0.90 oz
158. Austin buys 7 bolts and he buys 7 washers to place onto the bolts. He puts the washers he
bought in a stack that has a height of 0.952 inches. How thick is each washer?
[A] 0.136 in.
[B] 0.146 in.
[C] 1.460 in.
[D] 1.360 in.
Obj. 76 - Divide a whole number or a decimal number by 0.1, 0.01, or 0.001
159. Divide: 19 ÷ 01
.
[A] 19
[B] 1.9
[C] 190
[D] 0.19
160. Divide: 9.14 ÷ 0.01
[A] 914
[B] 91.4
[C] 0.0914
[D] 9,140
161. Divide: 182
. ÷ 0.001
[A] 18,200
26
[B] 1,820
[C] 18.2
[D] 182
Topic 1 - Number Sense and Operations
Obj. 77 - Relate division by a decimal fraction power of ten to multiplication by the related
whole number power of ten
162. Which expression gives the same results as 5.34 ÷ 01
.?
[A] 1,000 × 5.34
[B] 100 × 5.34
[C] 10 × 5.34
[D] 1 × 5.34
163. Which expression gives the same results as 100 × 3.45?
[A] 3.45 ÷ 0.01
[C] 3.45 ÷ 01
.
[B] 3.45 ÷ 1,000
[D] 3.45 ÷ 10
Obj. 78 - Locate the decimal point in the quotient of a whole number, or a decimal number,
divided by a decimal number
164. Which number shows the decimal point in the correct location in the quotient of 45 ÷ 0.8?
[A] 5.625
[B] 56.25
[C] 0.5625
[D] 562.5
165. Which number shows the decimal point in the correct location in the quotient of
8.44 ÷ 0.5?
[A] 168.8
[B] 0.1688
[C] 1.688
[D] 16.88
Obj. 79 - Divide a 1- to 3-digit whole number by a decimal number to tenths where the
quotient is a whole number
166. Divide: 5 ÷ 0.5
[A] 11
[B] 10
[C] 1
[D] 100
167. Divide: 28 ÷ 14
.
[A] 2
[B] 21
[C] 20
[D] 200
168. Divide: 776 ÷ 0.8
[A] 970
[B] 980
[C] 97
[D] 98
Obj. 80 - Determine a percent where a ratio, not in 100ths, is given in words
169. At Chloe’s school, 195 of the 300 students have visited Idaho. What percent of the
students have visited Idaho?
[A] 60%
[B] 15%
[C] 65%
27
[D] 35%
Topic 1 - Number Sense and Operations
170. Karen asks her friends if they like country music. She discovers that 1 out of 2 of her
friends said they liked listening to country music. What percent of Karen’s friends like to
listen to country?
[A] 1%
[B] 20%
[C] 50%
[D] 2%
Obj. 81 - Calculate a percent of a whole number where the answer is a whole number
171. What is 40% of 70?
[A] 27
[B] 57
[C] 14
[D] 28
172. What is 51% of 600?
[A] 8
[B] 306
[C] 312
[D] 153
Obj. 82 - WP: Calculate the percent of a whole number where the answer is a whole
number
173. At a recent dog show, there were 40 dogs entered. Of these dogs, 15% were competing for
the first time. How many dogs were competing for the first time?
[A] 80
[B] 34
[C] 6
[D] 8
174. A bookstore received a shipment of 290 books. Of those books, 60% were written by
foreign authors. How many books in the shipment were written by foreign authors?
[A] 176
[B] 174
[C] 116
[D] 1,740
175. In one week, 1,960 people visited a local zoo. Of these, 40% were children. How many
children visited the zoo?
[A] 1,920
[B] 78
[C] 784
[D] 782
Obj. 83 - Identify or locate an integer on a number line
176. What integer is represented by the point on the number line?
–10
[A] –5
10
0
[B] 4
[C] –4
28
[D] 5
Topic 1 - Number Sense and Operations
177. Which letter represents the integer –4?
n p
–10
[A] q
m q
10
0
[B] m
[C] n
[D] p
Obj. 84 - Relate a real-life situation to an integer
178. Which situation could best be represented by + 10?
[A] a gardener buying 10 more plants for a flower garden
[B] a landscaper removing 10 pounds of rock from a field
[C] a school having 10 fewer students this year
[D] a plant losing 10 leaves in the fall
179. Which situation could best be represented by – 30?
[A] cutting a person’s hair for $30
[B] taking a route that is 30 miles long
[C] measuring a temperature of 30 degrees
[D] decreasing the temperature by 30 degrees
29
Topic 2 - Algebra
Obj. 85 - Determine which property of addition or multiplication justifies a step in the
simplification of an expression
1. What property was used to go from step 2 to step 3?
b
g b g
Step 2: b63 + 850g + b50 + 59g
Step 3: 63 + b850 + 50g + 59
Step 1: 850 + 63 + 59 + 50
Step 4: 59 + 900 + 63
Step 5: 900 + 59 + 63
Step 6: 1022
[A] associative property of addition
[B] commutative property of addition
[C] commutative property of multiplication
[D] associative property of multiplication
2. What property was used to go from step 1 to step 2?
FG 1 × 22IJ × 30
H 15 K
F 1I
Step 2: G 22 × J × 30
H 15K
F1 I
Step 3: 22 × G × 30J
H 15 K
Step 1:
Step 4: 22 × 2
Step 5: 44
[A] distributive property
[B] associative property of multiplication
[C] commutative property of multiplication
[D] associative property of addition
Obj. 86 - Use a variable expression with two operations to represent a verbal expression
3. Which variable expression can be used to represent “add 4 to 7 times a number p”?
[A] 7 p − 4
[B] 7 ÷ p + 4
[C] 4 p + 7
30
[D] 7 p + 4
Topic 2 - Algebra
4. Which variable expression can be used to represent “3 more than the quotient of 12 and a
number c”?
[A]
b12 ÷ cg + 3
b
[B] 3 − 12 ÷ c
g
b g
[C] 12 − c ÷ 3
b g
[D] 12 + 3 ÷ c
Obj. 87 - Use a verbal expression to represent a variable expression with two operations
5. Which phrase means the same as 7c + 15?
[A] 7 less than 15 times a number c
[B] increase the sum of 7 and a number c by 15
[C] 15 less than 7 times a number c
[D] increase the product of 7 and a number c by 15
b g
6. Which phrase means the same as 7 ÷ x − 9?
[A] 7 times a number x divided by 9
[B] 7 times a number x less than 9
[C] 7 decreased by a number x divided by 9
[D] the quotient of 7 and a number x, decreased by 9
Obj. 88 - WP: Use a variable expression with two operations to represent a situation
7. A local pizza parlor charges $15.40 for a large cheese pizza. Each additional topping adds
$0.75 to the price of the pizza. Which expression represents the cost of a large cheese pizza
with n additional toppings?
[A] 15.40 − 0.75n
[B] 15.40 ÷ 0.75n
[C] 0.75n + 15.40
[D] 0.75 + 15.40n
8. Pat’s grandfather is 7 times as old as Pat is now. If Pat is n years old now, which expression
represents her grandfather’s age 16 years ago?
[A] 16n − 7
[B] 7n + 16
[C] 7n − 16
[D] 7n ÷ 16
Obj. 89 - WP: Use a 2-variable equation to represent a situation involving a direct
proportion
9. A waterfall is n times the height of its picture on a postcard. Which equation represents the
height, y, of the waterfall if the picture is 9 cm tall?
[A] n = 9 ÷ y
[B] n = 9 y
[C] y = 9 + n
31
[D] y = 9n
Topic 2 - Algebra
10. The average number of students per class at a middle school is 18. There are t teachers in
the school, and there is one teacher for each class. Which equation represents the total
number of students, s, in the school?
[A] s = t − 18
[B] t = 18s
[C] t = 18 ÷ s
[D] s = 18t
Obj. 90 - WP: Use a 2-variable linear equation to represent a situation
11. Lauren is sorting through her books. She has 8 times as many paperback books as hardback
books. She picks out 3 paperback books and donates them to the town library. Which
equation represents the relationship between the number of paperback books, p, she has left
and the number of hardback books, h, she has?
[A] p = 8h − 3
[B] h = 3 p − 8
[C] p = 3 − 8h
[D] h = 8 p + 3
12. A costume designer is making costumes for a play. The amount of cloth he uses to make the
women’s costumes is 3 yards more than 7 times the number of yards he uses to make the
men’s costumes. Which equation could be used to find the amount of cloth he used for the
women’s costumes, w, if the amount he used to make the men’s costumes, m, is known?
[A] m = 7 + 3w
[B] w = 3 + 7m
[C] w = 3m + 7
[D] m = 7 w + 3
Obj. 91 - Evaluate a 1-variable expression, with two or three operations, using whole
number substitution
13. What is the value of 4 p − 5 if p = 3?
b
g
14. Evaluate 2 x − 12 ÷ 2 when x = 8.
[A] 7
[A] 2
[B] 12
[B] 2
[C] 8
[C] 10
[D] 17
[D] 20
Obj. 92 - Evaluate a 2-variable expression, with two or three operations, using whole
number substitution
15.
Evaluate the expression
[A] 23
x
− y for x = 153 and y = 6.
9
[B] 24
[C] 11
32
[D] 12
Topic 2 - Algebra
16.
Evaluate the expression
[A] 15
ab
− 7 for a = 6 and b = 11.
3
[B] 19
2
3
[C] 16
[D] 22
Obj. 93 - WP: Evaluate a 1- or 2-variable expression or formula using whole numbers
17. A professional clown charges a $55 fee to appear at parties. She also charges $5 per
guest, g, for party favors. Use the expression 55 + 5g to find the clown’s total charges for a
party with 10 guests.
[A] $83
[B] $565
[C] $105
[D] $95
18. Paolo’s family and their friends are going to a concert. One adult ticket, a, costs $17 and
one youth ticket, y, costs $11. There will be 8 youths and 7 adults going. Using the
expression 17a + 11y , find the total cost for the group to attend the concert.
[A] $213
[B] $207
[C] $255
[D] $43
19. Trevor’s grandmother is encouraging him to save money. For every $9 that Trevor saves in
a savings account, his grandmother will add $1 as a bonus. To figure out the total amount of
money he will have when the bonus money is added to his savings, Trevor writes the
s
formula t = + s. The letter s represents the number of dollars he puts in the savings
9
s
account, and represents the bonus money to be added by his grandmother. What is the
9
total amount of money Trevor will have after he has put $63 in the savings account?
[A] $70
[B] $54
[C] $61
[D] $72
Obj. 94 - Solve a 1-step equation involving whole numbers
20. Solve: y − 13 = 19
21. Solve:
x
=8
6
[A] y = 6
[A] x = 48
[B] y = 5
[B] x = 2
33
[C] y = 33
[C] x = 14
[D] y = 32
[D] x = 47
Topic 2 - Algebra
Obj. 95 - Solve a proportion
22. Solve:
x 3
=
15 7
[A] x = 1
2
5
23. Solve:
23 4
=
6 x
[A] x = 34
[B] x = 2
1
2
4
7
[B] x = 15
1
3
[C] x = 6
[C] x =
3
7
10
23
[D] x = 35
[D] x = 1
1
23
Obj. 96 - WP: Generate a table of paired numbers based on a variable expression with two
operations
24. Frank is saving to buy a skateboard. He started with $10. Each week he adds $7 to his
savings. Frank’s savings at the end of n weeks is given by 10 + 7n. Which table shows how
much Frank has saved?
[A]
[C]
Number of
Weeks, n
4
5
6
7
Savings at
End of Week ($)
39
46
53
60
Number of
Weeks, n
4
5
6
7
Savings at
End of Week ($)
38
45
52
59
[B]
[D]
34
Number of
Weeks, n
4
5
6
7
Savings at
End of Week ($)
47
57
67
77
Number of
Weeks, n
4
5
6
7
Savings at
End of Week ($)
21
22
23
24
Topic 2 - Algebra
25. A new tube of toothpaste contains 4.2 ounces of toothpaste. Each week Mark uses
0.5 ounces to brush his teeth. The amount of toothpaste left in the tube is given by
4.2 − 0.5w, where w is the number of weeks since Mark started to use the new tube of
toothpaste. Which table shows the amount of toothpaste left in the tube?
[A]
[C]
Number of
Weeks, w
Toothpaste Left
in Tube (oz)
3
4
5
6
3.2
2.7
2.2
1.7
Number of
Weeks, w
Toothpaste Left
in Tube (oz)
3
4
5
6
0.3
0.8
1.3
1.8
[B]
[D]
Number of
Weeks, w
Toothpaste Left
in Tube (oz)
3
4
5
6
2.5
2.0
1.5
1.0
Number of
Weeks, w
Toothpaste Left
in Tube (oz)
3
4
5
6
2.7
2.2
1.7
1.2
Obj. 97 - Use a 2-variable equation to construct an input-output table
26. Which table was created using the equation y = 4 x + 8?
[A]
bg
bg
Input x
Output y
3
51
4
52
5
54
6
56
7
57
8
58
35
Topic 2 - Algebra
[B]
[C]
[D]
bg
bg
Input x
Output y
3
51
4
52
5
53
6
54
7
55
8
56
bg
bg
Input x
Output y
3
20
4
24
5
36
6
40
7
44
8
48
bg
bg
Input x
Output y
3
20
4
24
5
28
6
32
7
36
8
40
(26.)
27. Which table was created using the equation y = 2 x − 1?
36
Topic 2 - Algebra
[A]
[B]
[C]
[D]
bg
bg
Input x
Output y
3
4
4
5
5
6
6
7
7
8
8
9
bg
bg
Input x
Output y
3
5
4
7
5
13
6
15
7
17
8
19
bg
bg
Input x
Output y
3
5
4
7
5
9
6
11
7
13
8
15
bg
bg
Input x
Output y
3
4
4
5
5
7
6
9
7
10
8
11
(27.)
37
Topic 2 - Algebra
Obj. 98 - Use a 2-variable equation to represent a relationship expressed in a table
28. Which equation can be used to calculate the output values in the table?
bg
Input x
1
2
3
4
5
bg
Output y
6
10
14
18
22
[A] y = 4 x + 2
[B] x = 5 y + 1
[C] x = 4 y + 2
[D] y = 5x + 1
29. Which equation can be used to calculate the output values in the table?
bg
Input x
1
2
3
4
5
bg
Output y
3
7
11
15
19
[A] x = 6 y − 3
[B] y = 4 x − 1
[C] y = 6 x − 3
[D] x = 4 y − 1
Obj. 99 - Use a first quadrant graph to represent the values in an input-output table
30. Which graph shows the values from the table?
bg
Input x
1
2
3
4
5
bg
Output y
4
5
6
7
8
38
Topic 2 - Algebra
[A]
y
10
0
[B]
y
10
0
[C]
10 x
y
10
0
[D]
10 x
10 x
y
10
0
10 x
(30.)
39
Topic 2 - Algebra
31. Which graph shows the values from the table?
bg
Input x
2
4
6
8
10
[A]
y
10
0
[C]
bg
Output y
8
7
6
5
4
[B]
0
10 x
y
10
0
y
10
[D]
y
10
0
10 x
40
10 x
10 x
Topic 2 - Algebra
Obj. 100 - Use a graph to determine the entries in an input-output table
32. Which table shows the ordered pairs plotted in the graph?
y
10
0
[A]
[C]
10 x
bg
bg
Input x
Output y
2
[B]
bg
Output y
2
2
1
4
3
4
2
6
4
6
3
8
5
8
4
bg
bg
Input x
Output y
3
[D]
bg
bg
Input x
Output y
1
1
2
5
2
2
4
7
3
3
6
9
4
4
8
33. Which table shows the ordered pairs plotted in the graph?
y
10
0
bg
Input x
10 x
41
Topic 2 - Algebra
[A]
[B]
[C]
[D]
bg
bg
Input x
Output y
2
10
3
4
8
6
5
4
bg
bg
Input x
Output y
10
2
8
6
3
4
4
5
bg
bg
Input x
Output y
11
2
9
7
3
4
5
5
bg
bg
Input x
Output y
10
3
8
6
4
5
4
6
(33.)
42
Topic 3 - Geometry and Measurement
Obj. 101 - Convert between customary units of length using fractional amounts
1. How many inches are in 7
[A] 54 in.
2
feet?
3
[B] 56 in.
[C] 92 in.
[D] 104 in.
[C] 6 yd
[D] 2
2. How many yards are in 120 inches?
[A] 3
1
yd
3
[B] 4
1
yd
3
1
yd
3
Obj. 102 - Convert between customary units of capacity using fractional amounts
3. How many gallons are in 13 quarts?
[A] 52 gal
[B] 3
4. How many pints are in 1
[A] 28 pt
1
gal
4
[C] 1
5
gal
8
[D] 26 gal
3
gallons?
4
[B]
7
pt
64
[C] 14 pt
[D]
7
pt
32
Obj. 103 - Convert between customary units of weight using fractional amounts
5. How many pounds are in 10 ounces?
[A] 160 lb
[B] 1
6. How many ounces are in 1
[A] 10
1
oz
2
1
lb
4
[C]
5
lb
8
[D] 80 lb
[C]
21
oz
128
[D]
5
pounds?
16
[B] 21 oz
43
21
oz
256
Topic 3 - Geometry and Measurement
Obj. 104 - WP: Compare customary units of length, weight, or capacity using fractional
amounts
7. Clayton ran 3
3
miles on Tuesday. On Wednesday, he ran 6,580 yards. On which day did he
4
run farther?
[A] Tuesday
[B] Wednesday
[C] He ran the same distance both days.
8. Mr. Shiloh bought a 50-ounce bag of squash and a 3
3
-pound bag of onions. Which bag of
16
vegetables weighs more, or do they weigh the same?
[A] squash
[B] onions
9. Chloe says she thinks it will take 4
[C] The bags weigh the same.
1
gallons of paint to paint some rooms. Elena says she
4
1
quarts of paint. Which amount of paint is the greater of the two
2
amounts, or are they equal?
thinks it will take 16
[A] 4
1
gal
4
[B] 16
1
qt
2
[C] The amounts are equal.
Obj. 105 - Convert between metric units of capacity using decimal amounts
10. 9.2 L =
11. 614 mL =
mL
L
[A] 920
[B] 92
[C] 92,000
[D] 9,200
[A] 6,140
[B] 6.14
[C] 61.4
[D] 0.614
Obj. 106 - Convert between metric units of mass using decimal amounts
12. 3.74 kg =
g
13. 8,517 g =
kg
[A] 37.4
[B] 37,400
[A] 85.17
[B] 8.517
44
[C] 3,740
[C] 85,170
[D] 374
[D] 851.7
Topic 3 - Geometry and Measurement
Obj. 107 - Convert between millimeters or centimeters and meters, or meters and
kilometers using decimal amounts
14. 5,508 mm =
15. 7.46 km =
m
m
[A] 550.8
[B] 55.08
[A] 746
[B] 74,600
[C] 5.508
[D] 55,080
[C] 74.6
[D] 7,460
Obj. 108 - WP: Compare metric units of length, mass, or capacity using decimal amounts
16. On a track, Harrison ran 0.33 km before stopping for a drink. Bhim ran 3,200 m before
stopping for a drink. Who ran farther before stopping for a drink?
[A] Harrison
[B] Bhim
[C] They ran the same distance.
17. In January, Connor’s family used 1,700 g of honey. In February, they used 1.7 kg of honey.
In which month did Connor’s family use more honey?
[A] January
[B] February
[C] They used the same amount of honey in January and February.
18. Ten people equally share the water in a 3-liter bottle of water. Each person’s share is
0.3 L. They have glasses that can hold 355 mL each. Will each person get less than one full
glass of water, more than one full glass of water, or exactly one full glass of water?
[A] less than one full glass
[B] more than one full glass
[C] exactly one full glass
Obj. 109 - WP: Add or subtract customary measures of capacity requiring unit conversion
19. Last fall Brent preserved peaches in jars. He filled 10 quart-size jars and 24 pint-size jars.
How many quarts of preserved peaches did Brent make?
[A] 16 qt
[B] 44 qt
[C] 22 qt
[D] 34 qt
20. Maureen’s softball team held an ice-cream party to raise money. There were
20 volunteers who each donated a quart of vanilla ice cream. The team members brought
22 pints of other flavors. How many 1-cup servings of ice cream were the softball team able
to make for the party?
[A] 128
[B] 16
[C] 124
45
[D] 42
Topic 3 - Geometry and Measurement
Obj. 110 - WP: Add or subtract metric measures of capacity requiring unit conversion
21. During an experiment, Rosalyn heated a water-based solution in a beaker. At the end of the
experiment, there were 1.009 L of solution in the beaker. That was a decrease of
191 mL. How many liters of solution were in the beaker at the start of the experiment?
[A] 1.1 L
[B] 2.899 L
[C] 2.919 L
[D] 1.2 L
22. A bottle contains 2 L of citric acid solution. Jason uses 509 mL of the solution for an
experiment. How many milliliters of the solution are left in the bottle?
[A] 709 mL
[B] 1,591 mL
[C] 1,478 mL
[D] 1,491 mL
Obj. 111 - WP: Add or subtract customary measures of weight requiring unit conversion
23. The newspaper container at a recycling center was emptied of waste newspaper that had
been collected 3 times in one month. The first time 16,600 pounds of waste newspaper were
collected. The second time 13,200 pounds were collected, and the third time 6.1 tons were
collected. How many tons of newspaper were collected that month?
[A] 40 T
[B] 420 T
[C] 21 T
[D] 42 T
24. A freight elevator is loaded with a grand piano weighing 451 pounds. What is the maximum
number of additional pounds that could be placed in the elevator before exceeding its load
limit of 2 tons?
[A] 1,549 lb
[B] 9,549 lb
[C] 3,549 lb
[D] 3,570 lb
Obj. 112 - WP: Add or subtract metric measures of mass requiring unit conversion
25. By the end of lunch, Jonas had consumed 3.5 g of potassium. His breakfast contained
2,295 mg of potassium. He had a baked potato and skim milk for lunch. If the baked potato
had 780 mg of potassium, how many milligrams of potassium did the skim milk have?
[A] 425 mg
[B] 325 mg
[C] 1,515 mg
[D] 1,205 mg
26. A zoo veterinarian tracked the weight of a young panda cub. A week after being placed on a
special diet, the panda cub had gained 500 g and weighed 2.6 kg. How much did the cub
weigh before starting the special diet?
[A] 2.3 kg
[B] 497.4 kg
[C] 2.1 kg
46
[D] 3.1 kg
Topic 3 - Geometry and Measurement
Obj. 113 - WP: Multiply or divide customary measures of capacity requiring unit
conversion
27. The fruit drink for a school dance requires 1 cup of concentrate for 4 quarts of drink. How
many quarts of fruit drink can be made with 5 quarts of concentrate?
[A] 80 qt
[B] 13 qt
[C] 82 qt
[D] 40 qt
28. A group of college science students and their teachers went on a field trip to study and
collect desert plants. Because of the high temperatures, they used an average of 8 quarts of
water per person each day. If they used a total of 54 gallons of water each day, how many
people went on the trip?
[A] 53
[B] 27
[C] 17
[D] 54
Obj. 114 - WP: Multiply or divide metric measures of capacity requiring unit conversion
29. Each lab station needs 50 mL of a solution for a chemistry experiment. The lab assistant
made 3 L of the solution. What is the greatest number of lab stations that can be supplied
with 50 mL of solution each?
[A] 20
[B] 6
[C] 60
[D] 2
30. Sandro is helping at a water station for a cycling race. He fills 40 cups with
250-mL of water each. How many liters of water does Sandro use to fill the cups?
[A] 10 L
[B] 100 L
[C] 160 L
[D] 10,000 L
Obj. 115 - WP: Multiply or divide customary measures of weight requiring unit conversion
31. A baker’s recipe for multigrain bread requires 8 ounces of flour per loaf. The baker makes
300 loaves of multigrain bread each week. How many pounds of flour does the baker use
each week to make multigrain bread?
[A] 200 lb
[B] 240 lb
[C] 600 lb
[D] 150 lb
32. A customer bought 4 pounds of frozen corn kernels. There are 4.5 ounces of frozen corn
kernels in a cup measure. To the nearest cup, how many cups of frozen corn kernels did the
customer buy?
[A] 11 cups
[B] 14 cups
[C] 9 cups
47
[D] 18 cups
Topic 3 - Geometry and Measurement
Obj. 116 - WP: Multiply or divide metric measures of mass requiring unit conversion
33. A chemist wants to know how many nutrients are in different vitamin tablets. Each tablet
weighs 1.6 g. She crushes each tablet and separates into 50 mg samples. How many samples
does she have for each tablet?
[A] 80
[B] 31
[C] 320
[D] 32
34. The students in Val’s science class competed to see who could design and construct the
strongest model bridge. They tested the bridges by placing 750-gram weights on each bridge
one at a time. Val placed 5 weights on her bridge before it collapsed. What was the total
mass, in kilograms, on Val’s bridge before it collapsed?
[A] 1.5 kg
[B] 3.75 kg
[C] 375 kg
[D] 37.5 kg
Obj. 117 - Determine a time in different time zones
35. If it is 12:30 a.m. in Boston, what time is it in Denver?
[A] 11:30 a.m.
[B] 10:30 p.m.
[C] 2:30 a.m.
48
[D] 9:30 a.m.
Topic 3 - Geometry and Measurement
36. If it is 10:30 p.m. in Vancouver, what time is it in Halifax?
[A] 4:30 p.m.
[B] 2:30 p.m.
[C] 2:30 a.m.
[D] 6:30 p.m.
Obj. 118 - Determine a temperature change given a picture of thermometers
37. The thermometers show the temperatures in the morning and in the evening. What was the
change in temperature from morning to evening? Use a negative value to indicate a decrease
and a positive value to indicate an increase.
Morning
Evening
30
30
20
20
10
10
0
0
–10
–10
°F
[A] –28°F
°F
[B] 36°F
[C] –36°F
49
[D] 28°F
Topic 3 - Geometry and Measurement
38. The thermometers show the temperatures one afternoon and the next morning. What was the
change in temperature from the afternoon to the next morning? Use a negative value to
indicate a decrease and a positive value to indicate an increase.
Afternoon
Morning
30
30
20
20
10
10
0
0
–10
–10
°F
[A] 16°F
°F
[B] 3°F
[C] –3°F
[D] –16°F
Obj. 119 - Measure an angle, between two rays or in a shape, to the nearest degree
39. What is the measure of ∠m to the nearest degree?
m
[A] 32°
[B] 148°
[C] 28°
50
[D] 29°
Topic 3 - Geometry and Measurement
40. What is the measure of ∠w to the nearest degree?
w
[A] 156°
[B] 149°
[C] 27°
[D] 153°
Obj. 120 - Classify an angle given its measure
41. What type of angle is a 10° angle?
[A] acute angle
[B] obtuse angle
[C] right angle
42. What type of angle is a 66° angle?
[A] acute angle
[B] obtuse angle
[C] right angle
Obj. 121 - Determine the missing angle measure in a triangle given two other angle
measures
[A] 31°
43. What is the value of r in the triangle?
[B] 6°
[C] 51°
65°
84°
r
44. What is the value of v in the right triangle?
v
[A] 64°
46°
[B] 44°
[C] 54°
51
[D] 136°
[D] 149°
Topic 3 - Geometry and Measurement
Obj. 122 - Determine the missing angle measure in a quadrilateral given three other angle
measures
45. What is the measure of the angle marked x?
71°
x
69°
[A] 177°
82°
[B] 128°
[C] 138°
[D] 178°
[C] 78°
[D] 28°
46. What is the measure of the angle marked x?
x
109°
123°
[A] 38°
[B] 77°
52
Topic 3 - Geometry and Measurement
Obj. 123 - Determine the perimeter of a complex shape
47. In the figure shown, all of the angles are right angles. What is the perimeter of the figure?
3 cm
(not drawn to scale)
6 cm
7 cm
1 cm
7 cm
[A] 25 cm
[B] 24 cm
[C] 28 cm
[D] 49 cm
48. All angles in the figure are right angles. What is the perimeter of the figure?
11 cm
11 cm
15 cm
29 cm
(not drawn to scale)
34 cm
[A] 129 cm
[B] 156 cm
[C] 167 cm
53
[D] 160 cm
Topic 3 - Geometry and Measurement
Obj. 124 - Determine the area of a complex shape
49. The figure shows a right triangle surrounded by squares. What is the total area of the shape?
(not drawn to scale)
26 cm
24 cm
10 cm
[A] 3,720 cm
2
[B] 796 cm2
[C] 1,928 cm
2
[D] 1,472 cm
50. What is the total area of the shape?
(not drawn to scale)
6 cm
12 cm
12 cm
7 cm
[A] 68 cm2
7 cm
[B] 264 cm2
[C] 234 cm2
54
[D] 468 cm2
2
Topic 3 - Geometry and Measurement
Obj. 125 - WP: Determine the perimeter or the area of a complex shape
51. A garden is to be surrounded by a fence to discourage deer from eating the vegetables. A
diagram of the garden is shown below. What is the length of fencing needed to surround the
garden?
10 ft
22 ft
10 ft
30 ft
[A] 94 ft
[B] 72 ft
[C] 104 ft
[D] 660 ft
52. One of the greens of a miniature golf course must have the carpet replaced. A diagram of the
green is shown below. What is the area of the carpet needed?
3 ft
3 ft
9 ft
5 ft
11 ft
[A] 99 ft 2
[B] 75 ft 2
[C] 86 ft 2
[D] 40 ft 2
Obj. 126 - Answer a question about the parts and relationships in a circle
53. Which word describes the curved part of the circle between points A and B?
[A] semicircle
[B] diameter
[C] segment
55
[D] sector
Topic 3 - Geometry and Measurement
54. What is the ratio of the circumference of a circle to its radius?
[A]
π
1
[B]
2
1
[C]
2π
1
[D]
1
2
Obj. 127 - Determine the circumference of a circle using 3.14 for pi
55. What is the circumference of a circle with a radius of 17 inches? Use 314
. for π .
[A] 106.76 in.
[B] 53.38 in.
[C] 26.69 in.
[D] 80.07 in.
56. What is the circumference of a circle with a diameter of 9.8 cm? Use 314
. for π .
[A] 107.702 cm
[B] 123.088 cm
[C] 61.544 cm
[D] 30.772 cm
Obj. 128 - WP: Determine the circumference of a circle
57. A machine called a horse walker leads a horse in a circular path. The diameter of the path is
45 feet. To the nearest tenth, how far does the horse walk in one lap of the path?
Use 3.14 for π .
[A] 1,589.6 ft
[B] 141.3 ft
[C] 70.7 ft
[D] 282.6 ft
58. A strings of lights is going to be put around the outside edge of a Ferris wheel. The radius of
the wheel is 15 feet. To the nearest tenth, how long does the string of lights need to be?
Use 3.14 for π .
[A] 94.2 ft
[B] 188.4 ft
[C] 60 ft
56
[D] 90.2 ft
Topic 3 - Geometry and Measurement
Obj. 129 - Estimate circumference, perimeter, or area
59. Measure the radius of the circle to the nearest centimeter. Which value is closest to the
circumference of the circle?
[A] 6 cm
[B] 18 cm
[C] 36 cm
57
[D] 9 cm
Topic 3 - Geometry and Measurement
60. Which measurement is a reasonable estimate for the perimeter of the shape to the nearest
centimeter?
[A] 54 cm
[B] 15 cm
[C] 108 cm
[D] 30 cm
Obj. 130 - Determine the volume of a prism with a right triangle base
61. What is the volume of the triangular prism?
14 ft
20 ft
5 ft
[A] 900 ft 3
[B] 225 ft 3
[C] 700 ft 3
58
[D] 1,400 ft 3
Topic 3 - Geometry and Measurement
62. What is the volume of the triangular prism?
12.6 in.
6.2 in.
18.7 in.
[A] 1,460.8 in 3
[B] 429.7 in 3
[C] 730.4 in 3
[D] 692.3 in 3
Obj. 131 - Determine the surface area of a 3-dimensional shape made from cubes
63. The solid shape below is made of cubes with edge lengths of 5 feet. What is the surface area
of the shape?
[A] 225 ft 2
[B] 20 ft 2
[C] 2,250 ft 2
[D] 450 ft 2
64. The rectangular prism is made of 56 cubes. Each cube has an edge that measures 3 feet.
What is the surface area of the prism?
[A] 2,016 ft 2
[B] 828 ft 2
[C] 450 ft 2
59
[D] 900 ft 2
Topic 3 - Geometry and Measurement
Obj. 132 - Determine the measure of a missing angle using straight and right angle
relationships
65. PQ is a straight line. What is the measure of ∠a?
a 90°
21°
P
Q
[A] 72°
[B] 69°
[C] 159°
[D] 111°
66. Angles d and c are formed by two intersecting lines. The measure of ∠d is 40°. What is the
measure of ∠c?
c
[A] 40°
d
[B] 136°
[C] 140°
60
[D] 50°
Topic 3 - Geometry and Measurement
Obj. 133 - Identify parallel, perpendicular, or intersecting lines
67. Which diagram shows RS perpendicular to PQ?
[A]
[B]
S
P
S
P
Q
R
R
Q
[C]
P
Q
R
S
68. Which line is perpendicular to FH?
[A] EG
G
E
H
F
61
[B] EF
[C] GH
Topic 3 - Geometry and Measurement
Obj. 134 - Identify congruent shapes shown on a grid or within pattern block
arrangements, with different orientations
69. Which figure is congruent to figure 1?
[A] figure 2
[B] figure 5
[C] figure 4
[D] figure 3
[C] figure 2
[D] figure 4
70. Which figure is congruent to figure 1?
[A] figure 5
[B] figure 3
Obj. 135 - Determine a length given a scale
71. A model of a ship that is 702 feet long is constructed using a scale of 1 cm:27 feet. What is
the length of the model?
[A] 53 cm
[B] 26 cm
[C] 70 cm
62
[D] 80 cm
Topic 3 - Geometry and Measurement
72. This model car was made using the scale 1 cm:13 inches. How long is the actual car?
16 cm
[A] 208 in.
[B] 17 in.
[C] 192 in.
[D] 13 in.
Obj. 136 - Use symmetry to determine a length or an angle measure
73. Line AD is a line of symmetry for the figure.
E
F
126°
136°
D
A
54°
44°
C
B
(not drawn to scale)
What is the measure of ∠ ABC?
[A] 46°
[B] 44°
[C] 126°
63
[D] 136°
Topic 3 - Geometry and Measurement
74. Line VZ is a line of symmetry for the figure.
S
Y
3.9 in.
(not drawn to scale)
1.9 in.
X
Z
T
V
4.3 in.
5.4 in.
U
W
What is the measure of UV ?
[A] 3.9 in.
[B] 1.9 in.
[C] 4.3 in.
[D] 5.4 in.
Obj. 137 - Determine the result of a reflection, a rotation, or a translation on the Cartesian
plane
75. Which graph shows a shape and the reflection of the shape over the x-axis?
[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
64
Topic 3 - Geometry and Measurement
76. Which graph shows a shape and the rotation of the shape 180° about the origin?
[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
77. Which graph shows a shape and the translation of the shape 1 unit left and 4 units down?
[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
65
Topic 3 - Geometry and Measurement
Obj. 138 - Determine the transformation that generates the image of a figure in the
Cartesian plane
78. Which transformation would move the shape from position A to position B?
y
5
A
–5
5
x
B
–5
[A] translation 7 units down
[B] rotation 90° clockwise about the origin
[C] reflection over the x-axis
[D] reflection over the y-axis
79. Which transformation would move the shape from position A to position B?
y
5
–5
5
x
A
B
–5
[A] reflection over the x-axis
[B] rotation 90° clockwise about the origin
[C] translation 8 units to the left
[D] reflection over the y-axis
66
Topic 3 - Geometry and Measurement
80. Which transformation would move the shape from position A to position B?
y
10
A
10 x
–10
B
–10
[A] translation 10 units down and 1 unit to the right
[B] translation 3 units down and 3 units to the left
[C] reflection over the x-axis
[D] rotation 90° counterclockwise about the origin
Obj. 139 - Determine the location of an ordered pair of nonnegative rational numbers on a
coordinate plane
b
g
81. Which graph shows the point T 0.9, 0.5 ?
[A]
[B]
y
1.5
1.0
T
1.0
0.5
0
[C]
0.5
1.0
0
1.5 x
[D]
0.5
1.5 x
y
1.5
T
0.5
0.5
1.0
1.0
T
0.5
0
T
0.5
y
1.5
1.0
y
1.5
1.0
0
1.5 x
67
0.5
1.0
1.5 x
Topic 3 - Geometry and Measurement
FG
H
IJ
K
1 2
82. Which graph shows the point N 1 ,
?
3 3
[A]
y
[B]
4
4
3
3
2
2
1
1
2
3
0
x
4
y
[D]
4
3
3
2
2
1
2
3
4
x
2
3
4
x
N
N
0
1
y
4
1
N
1
N
0
[C]
y
1
2
3
0
x
4
1
Obj. 140 - Determine the ordered pair of nonnegative rational numbers that represents a
point on a coordinate plane
83. What are the coordinates of point C in ∆ABC ?
y
2.0
C
1.5
B
1.0
0.5
0
[A]
A
0.5
b18. , 0.8g
1.0
1.5
[B]
2.0 x
b0.5, 1g
[C]
68
b0.8, 18. g
[D]
b1, 0.5g
Topic 3 - Geometry and Measurement
84. What are the coordinates of the point Q in quadrilateral PQRS?
y
2
R
S
1
Q
P
0
[A]
1
FG1 2 , 1 3IJ
H 5 5K
2
[B]
x
FG 3 , 1 1IJ
H 5 5K
[C]
69
FG1 1 , 3IJ
H 5 5K
[D]
FG1 3 , 1 2 IJ
H 5 5K
Topic 4 - Data Analysis, Statistics, and Probability
Obj. 141 - Read a double-line graph
1. Matthew and Anna took part in a timed fitness-test. The graph shows their pulse rates at
some checkpoints during the test.
Pulse Rate
130
120
Matthew
110
Anna
100
90
80
70
60
50
Q
R
S
T
U V W
Checkpoints
X
Y
Z
What was Matthew’s pulse rate at checkpoint T?
[A] 95 beats per minute
[B] 80 beats per minute
[C] 100 beats per minute
[D] 105 beats per minute
70
Topic 4 - Data Analysis, Statistics, and Probability
2. Ms. Sinclair owns restaurants in Chicago and Cleveland. The graph shows the profit each
restaurant made for the first six months of the year.
Restaurant Profit
30
28
26
24
22
20
18
16
14
12
10
Chicago
Cleveland
Jan
Feb
Mar Apr May
Month
Jun
How much profit did the restaurant in Chicago make in March?
[A] $24,000
[B] $14,000
[C] $23,000
71
[D] $22,000
Topic 4 - Data Analysis, Statistics, and Probability
Obj. 142 - Answer a question using information from a double-line graph
3. In an experiment two wheat seeds were planted. Plant A received a new type of fertilizer
while plant B received none. After the seeds sprouted, the plants were measured at the end
of each week. The graph shows the heights of the two plants over the first 7 weeks.
Plant Growth
120
110
100
90
80
70
60
50
40
30
20
10
0
Plant A
Plant B
1
2
3
4
Weeks
5
6
7
About how much more did plant A grow than plant B between weeks 3 and 6?
[A] 10 cm
[B] 20 cm
[C] 60 cm
72
[D] 30 cm
Topic 4 - Data Analysis, Statistics, and Probability
4. Panna’s class and Abram’s class earned money for the end-of-the-year school trip by
working at the school bookstore. They made the graph below to monitor their monthly
earnings for the six months before the trip.
Monthly Earnings
50
48
46
44
42
40
38
36
34
32
30
Abram’s class
Panna’s class
Jan
Feb
Mar Apr May
Month
Jun
In which month were the total earnings for Panna’s class and Abram’s class the least?
[A] May
[B] March
[C] June
73
[D] April
Topic 4 - Data Analysis, Statistics, and Probability
Obj. 143 - Read a double- or stacked-bar graph
5. A dance school runs jazz, ballet, and hip-hop dance classes. The graph shows how many
students are in each class.
Dance Class Students
100
90
80
70
60
50
40
30
20
10
Girls
Boys
Jazz
Ballet
Hip-Hop
Dance Class
How many girls are in the jazz class?
[A] 10
[B] 5
[C] 50
[D] 40
6. A toy company employs people from all over the United States. The graph shows how many
employees the company had from 2003 to 2006.
Toy Company Employees
10
9
8
7
6
5
4
3
2
1
Full-time
Part-time
2003
2004
2005
Year
2006
How many full-time employees did the company have in 2005?
[A] 11,500
[B] 6,000
[C] 5,000
74
[D] 6,500
Topic 4 - Data Analysis, Statistics, and Probability
7. The town of Franklin holds a charity walkathon each year. The graph shows how many
people entered the walkathon in four different years.
Charity Walkathon Entrants
1,000
900
800
700
600
500
400
300
200
100
Children
Adults
2000
2001
2002
Year
2003
In which year did more than 850 children enter the walkathon?
[A] 2000
[B] 2001
[C] 2002
[D] 2003
Obj. 144 - Use a double- or stacked-bar graph to represent data
8. A youth ice hockey league ran a concession stand from December to March. The table
shows the league’s profits for those months.
Concession Stand Profits
December
January
February
March
Drinks
$200
$750
$150
$1,050
Food
$100
$650
$100
$900
Which bar graph represents the league’s profits as shown in the table?
[A]
1,200
1,100
1,000
900
800
700
600
500
400
300
200
100
Concession Stand Profits
Drinks
Food
Dec
Jan Feb
Month
Mar
75
Topic 4 - Data Analysis, Statistics, and Probability
[B]
1,200
1,100
1,000
900
800
700
600
500
400
300
200
100
Concession Stand Profits
Drinks
Food
Dec
[C]
1,200
1,100
1,000
900
800
700
600
500
400
300
200
100
1,200
1,100
1,000
900
800
700
600
500
400
300
200
100
Mar
Concession Stand Profits
Drinks
Food
Dec
[D]
Jan Feb
Month
Jan Feb
Month
Mar
Concession Stand Profits
Drinks
Food
Dec
Jan Feb
Month
Mar
(8.)
76
Topic 4 - Data Analysis, Statistics, and Probability
9. A school principal kept a record each year of how many girl students and boy students were
in grade 6. In 2005, there were 30 boys and 25 girls. There were 20 boys and 35 girls in
2006, and 35 boys and 25 girls in 2007. Which bar graph represents the number of students
in grade 6 each year?
[A]
100
90
80
70
60
50
40
30
20
10
Number of Grade 6 Students
Boys
Girls
2005
[B]
100
90
80
70
60
50
40
30
20
10
100
90
80
70
60
50
40
30
20
10
2007
Number of Grade 6 Students
Boys
Girls
2005
[C]
2006
Year
2006
Year
2007
Number of Grade 6 Students
Boys
Girls
2005
2006
Year
2007
77
Topic 4 - Data Analysis, Statistics, and Probability
[D]
100
90
80
70
60
50
40
30
20
10
Number of Grade 6 Students
Boys
Girls
2005
2006
Year
2007
(9.)
10. A new action movie was released at the theaters. The table shows the value of the tickets
sold for that movie in the first four weeks.
Value of Movie Tickets Sold (in Millions of Dollars)
Week 1
Week 2
Week 3
Week 4
Adults
4.5
5.0
5.0
3.5
Children
2.0
7.0
4.0
2.5
Which bar graph represents the data in the table?
[A]
10
9
8
7
6
5
4
3
2
1
Value of Movie Tickets Sold
Adults
Children
1
2
3
4
Week
78
Topic 4 - Data Analysis, Statistics, and Probability
[B]
10
9
8
7
6
5
4
3
2
1
Value of Movie Tickets Sold
Adults
Children
1
2
3
4
Week
[C]
10
9
8
7
6
5
4
3
2
1
Value of Movie Tickets Sold
Adults
Children
1
2
3
4
Week
[D]
10
9
8
7
6
5
4
3
2
1
Value of Movie Tickets Sold
Adults
Children
1
2
3
4
Week
(10.)
79
Topic 4 - Data Analysis, Statistics, and Probability
Obj. 145 - Answer a question using information from a double- or stacked-bar graph
11. A school library kept a record of how many books were borrowed over four months.
Number of Books Borrowed
10
9
8
7
Fiction
6
Nonfiction
5
4
3
2
1
Sep
Oct
Nov
Dec
Month
How many fewer nonfiction books were borrowed in November than in December?
[A] 1,000
[B] 3,000
[C] 500
[D] 1,500
12. A new Mexican restaurant opened in August. The graph shows how many customers the
restaurant had during its first four days.
Restaurant Customers
100
90
80
70
lunch
60
dinner
50
40
30
20
10
1
2
3
4
Day
How many more customers did the restaurant have for dinner than for lunch on day 3?
[A] 130
[B] 40
[C] 50
80
[D] 45
Topic 4 - Data Analysis, Statistics, and Probability
13. Terry and his grandmother made jewelry with beads. They sold the jewelry at weekend
markets. The graph shows how many pieces of jewelry they sold.
Pieces of Jewelry Sold
20
18
16
14
12
10
8
6
4
2
0
Saturday
Sunday
Necklace
Earrings
Type
Bracelet
How many more bracelets did they sell on Sunday than Saturday?
[A] 6
[B] 9
[C] 5
[D] 4
Obj. 146 - Read a stem-and-leaf plot
14. The low temperatures in Lakeview for the first 20 days of February are shown in the stemand-leaf-plot. What is the lowest temperature recorded in the plot?
b g
February’s Low Temperatures ° F
Stem
2
3
4
5
[A] 22°
Leaf
2588
012 456
114 58
13334
[B] 2°
[C] 28°
81
[D] 0°
Topic 4 - Data Analysis, Statistics, and Probability
15. The students in a grade six class took a math test. The stem-and-leaf plot below shows the
scores of the students. How many students got a score of 54?
Math Test Scores
Stem Leaf
2
2234489
3
0 11 6 8
4
000237
5
2444566
[A] 4
[B] 5
[C] 3
[D] 2
Obj. 147 - Use a stem-and-leaf plot to represent data
16. Hank delivers the mail in an office. For 14 days he counted how many letters he delivered
each day.
31, 26, 32, 17, 17, 15, 32, 32, 38, 14, 13, 28, 28, 28
Which stem-and-leaf plot correctly represents this data?
[A] Stem
10
20
30
[C] Stem
10
20
30
[B] Stem
1
2
3
Leaf
34577
6888
12 2 28
[D] Stem
1
2
3
Leaf
334577
688
12 2 28
82
Leaf
34577
6888
12 2 28
Leaf
334577
688
12 2 28
Topic 4 - Data Analysis, Statistics, and Probability
17. Mrs. Abbott works as a taxi driver. The list below shows how many miles she traveled on
each of the last 20 days.
16, 41, 33, 28, 54, 40, 24, 45, 18, 53, 23, 51, 18, 12, 51, 47, 44, 13, 47, 55
Which stem-and-leaf plot correctly represents this data?
[A] Stem
1
2
3
4
5
[C] Stem
10
20
30
40
50
[B] Stem
1
2
3
4
5
Leaf
23688
348
3
01457 7
11 3 4 5
[D] Stem
10
20
30
40
50
Leaf
23688
3458
3
01457 7
11 3 4
Leaf
23688
3458
3
01457 7
11 3 4
Leaf
23688
348
3
01457 7
113 4 5
Obj. 148 - Answer a question using information from a stem-and-leaf plot
18. The stem-and-leaf plot shows the 50-meter freestyle swim times, in seconds, for some
middle-school students. The fastest time was 40 seconds. What is the combined time of the
4 fastest middle-school students?
Stem
4
5
6
7
Leaf
0159
123
00257
122347
[A] 176 s
[B] 175 s
[C] 126 s
83
[D] 288 s
Topic 4 - Data Analysis, Statistics, and Probability
19. A grocery store employs 20 part-time workers. The store manager recorded the number of
hours each person worked in one week. The stem-and-leaf plot shows the results. What is
the difference between the least and greatest number of hours worked?
Number of Hours Worked
Stem
0
1
2
3
Leaf
03466
2455779
1258
3447
[A] 33
[B] 27
[C] 37
[D] 31
Obj. 149 - Validate a conclusion using information from a display of data
20. A shoe store had a four-day sale. The graph below shows the number of pairs of sandals that
were sold each day of the sale.
Number of Pairs of Sandals Sold
50
40
30
20
10
Thurs.
Fri.
Sat.
Sun.
Which statement is best supported by the information in the graph?
[A] The store sold more pairs of sandals on Thursday and Saturday than on Sunday and
Friday. This is true because 40 + 20 < 10 + 30.
[B] The store sold more pairs of sandals on Thursday and Friday than on Saturday and
Sunday. This is true because 40 + 30 > 20 + 10.
[C] The store sold fewer pairs of sandals on Thursday and Sunday than on Friday. This is
true because 40 + 10 < 30.
[D] The store sold fewer pairs of sandals on Friday and Saturday than on Thursday and
Sunday. This is true because 30 + 20 < 40 + 10.
84
Topic 4 - Data Analysis, Statistics, and Probability
21. A health organization has volunteers across the United States. The graph shows how many
volunteers the organization had in one section of the country from 2002 to 2005.
Volunteers
10
9
8
7
6
5
4
3
2
1
Part-time
Full-time
2002
2003
2004
Year
2005
Which statement is supported by the information in the graph?
[A] There were fewer than 13,000 part-time volunteers in 2002 and 2004 combined. This is
true because 4,500 + 9,000 > 13,000.
[B] There were more than 14,000 part-time volunteers in 2003 and 2004 combined. This is
true because 4,500 + 9,000 < 14,000.
[C] There were fewer than 10,000 full-time volunteers in 2003 and 2004 combined. This is
true because 3,500 + 7,000 > 10,000.
[D] There were more than 10,000 full-time volunteers in 2002 and 2004 combined. This is
true because 3,500 + 7,000 > 10,000.
85
Topic 4 - Data Analysis, Statistics, and Probability
Obj. 150 - Use a frequency table to represent 2 related data sets
22. A horse farm entered 10 Arabians and 10 Shires in a horse show. The weights of the horses
are listed below in kilograms. Which frequency table correctly represents these weights?
Arabian: 739; 1,019; 782; 1,029; 914; 980; 762; 1,006; 889; 983
Shire: 822; 903; 774; 809; 977; 1,041; 872; 715; 1,022; 753
[A]
Weight
Arabian Shire
(kg)
700 – 799
3
4
800 – 899
2
3
900 – 999
2
2
1,000 or more
3
1
[B]
Weight
Arabian Shire
(kg)
700 – 799
2
3
800 – 899
3
1
900 – 999
3
3
1,000 or more
2
3
[C]
Weight
Arabian Shire
(kg)
700 – 799
3
3
800 – 899
1
3
900 – 999
3
2
1,000 or more
3
2
[D]
Weight
Arabian Shire
(kg)
700 – 799
3
3
800 – 899
3
1
900 – 999
2
3
1,000 or more
2
3
86
Topic 4 - Data Analysis, Statistics, and Probability
23. A marketing company wanted to find out the ages of people who are the first to arrive at a
football game. The first 10 males and first 10 females who arrived at the stadium for last
week’s football game were surveyed. Which frequency table correctly represents these ages?
Ages of males: 8, 28, 39, 52, 4, 2, 40, 34, 42, 56
Ages of females: 18, 24, 36, 66, 58, 46, 71, 27, 33, 50
[A]
[C]
Age
[B]
Male Female
Age
Male Female
0 – 20
4
0
0 – 20
1
3
21– 30
31– 40
1
3
2
2
21– 30
31– 40
2
2
1
3
41 and over
4
4
41 and over
5
3
Age
[D]
Male Female
Age
Male Female
0 – 20
3
1
0 – 20
3
1
21– 30
31– 40
2
2
1
3
21– 30
31– 40
1
3
2
2
41 and over
3
5
41 and over
3
5
Obj. 151 - Answer a question using information from a frequency table representing 2
related data sets
24. In a test of D-cell battery life, 20 identical flashlights were left on until the lights went out.
Two different brands of batteries were used in the test. Each flashlight used two batteries.
The number of hours before the flashlights went out is shown in the frequency table below.
D - cell Battery Life
Battery Life
(hours)
0 – 8.0
8.1– 16.0
16.1– 24.0
More than 24.0
Flashlight with Brand A
Batteries
5
4
1
0
Flashlight with Brand B
Batteries
2
2
3
3
How many flashlights with Brand B batteries lasted 24 hours or less?
[A] 6
[B] 3
[C] 14
87
[D] 7
Topic 4 - Data Analysis, Statistics, and Probability
25. Ms. Nixon teaches piano and clarinet. She asked all her students to record the number of
hours they practiced each week. The results are shown in the frequency table below.
Number of Hours Students Practiced
Practice Time
(hours)
0 – 3.0
3.1– 6.0
6.1– 9.0
9.1– 12.0
More than 12.0
Piano
Students
2
6
4
5
2
Clarinet
Students
6
1
2
4
2
How many clarinet students practiced between 3.1 and 9 hours?
[A] 13
[B] 10
[C] 3
[D] 15
Obj. 152 - Use a circle graph to represent percentage data
26. The manager of a school cafeteria is ordering juice for the students. To determine which
flavors of juice to order, she surveys 100 seventh-grade students. The results are shown in
the table.
Orange
20%
Grape
Mango
30%
45%
Cranberry 5%
Which circle graph shows this information?
[A]
Juice Choices
Grape
Cranberry
Orange
Mango
88
Topic 4 - Data Analysis, Statistics, and Probability
[B]
Juice Choices
Grape
Cranberry
Mango
[C]
Orange
Juice Choices
Mango
Cranberry
Grape
[D]
Orange
Juice Choices
Mango
Cranberry
Orange
Grape
(26.)
89
Topic 4 - Data Analysis, Statistics, and Probability
27. A school baseball team was given a budget at the start of the year. The team used 20% of
the money for uniforms, 25% for equipment, and 55% for travel. Which circle graph shows
this information?
[A]
Baseball Team’s Budget
Equipment
Uniforms
Travel
[B]
Baseball Team’s Budget
Travel
Equipment
Uniforms
[C]
Baseball Team’s Budget
Travel
Uniforms
Equipment
90
Topic 4 - Data Analysis, Statistics, and Probability
[D]
Baseball Team’s Budget
Travel
Uniforms
Equipment
(27.)
Obj. 153 - Determine the mean of a set of whole number data
28. Mrs. Jones prepares a fruit salad using 1 cup each of 6 different fruits. The amount of
carbohydrates in each type of fruit is shown below. What is the mean carbohydrate content
of the 6 fruits?
14 g, 12 g, 16 g, 20 g, 14 g, 26 g
[A] 15 g
[B] 20 g
[C] 17 g
[D] 14 g
29. A garden center uses ladybugs to eat aphids. They are testing different areas of their
greenhouses to find the most effective number of ladybugs per 1,000 square feet. The
numbers of ladybugs introduced in 7 different areas are given below. What is the mean
number of ladybugs used?
90, 110, 140, 75, 145, 100, 75
[A] 105
[B] 75
[C] 100
[D] 110
Obj. 154 - Determine the median of a set of whole number data
30. The amount of vitamin A found in a four ounce serving of four different vegetables is listed
below. What is the median amount of vitamin A found in the four vegetables?
480 mg, 440 mg, 268 mg, 480 mg
[A] 417 mg
[B] 480 mg
[C] 354 mg
[D] 460 mg
31. A zoo has 5 male Asian elephants. The weights of these elephants are listed below. What is
the median weight of the elephants?
4,500 kg, 5,250 kg, 3,200 kg, 3,650 kg, 5,250 kg
[A] 4,500 kg
[B] 4,370 kg
[C] 3,200 kg
91
[D] 5,250 kg
Topic 4 - Data Analysis, Statistics, and Probability
Obj. 155 - Determine the mode or modes of a set of whole number data
32. The numbers of students enrolled in several elementary schools are given below. What is
the mode or modes of the number of students in these schools?
404, 365, 509, 429, 395, 456, 365, 419, 461, 507
[A] 509
[B] 431
[C] 424
[D] 365
33. The number of students in each of 15 middle schools is listed below. What is the mode or
modes of the numbers?
715, 530, 400, 690, 750, 510, 425, 385, 700, 460, 475, 695, 575, 885, 515
[A] 581
[B] 695
[C] 575
[D] no mode
Obj. 156 - Determine the effect of a change in a data set on the mean and/or median
34. A book club keeps track of the number of books each member read in the previous year.
Those numbers of books are listed below. Suppose the member who read 53 books leaves
the club. How much does the mean number of books read change?
21, 38, 13, 41, 16, 31, 19, 29, 53
[A] The mean increases by 4 books.
[B] The mean increases by 3 books.
[C] The mean decreases by 3 books.
[D] The mean decreases by 4 books.
35. A book club keeps track of the number of books each member read in the previous year.
Those numbers of books are listed below. Suppose the member who read 50 books leaves
the club. How much does the median number of books read change?
16, 8, 20, 10, 6, 8, 19, 25, 50
[A] The median increases by 4 books.
[B] The median decreases by 3 books.
[C] The median decreases by 4 books.
[D] The median increases by 3 books.
92
Topic 4 - Data Analysis, Statistics, and Probability
Obj. 157 - Determine all possible outcomes of a compound event using a tree diagram
36. A gift basket includes one bag of snack mix and one kind of fruit. The snack mix choices
are cheese, caramel, or herb. The fruit choices are apples, pears, or oranges. Which tree
diagram shows the number of ways a gift basket can be ordered?
[A]
[B]
apples
caramel
herb
pears
pears
caramel
oranges
oranges
apples
apples
apples
pears
cheese
pears
oranges
oranges
apples
cheese
pears
oranges
[C]
[D]
caramel
apples
herb
pears
pears
apples
oranges
caramel
caramel
apples
pears
pears
cheese
caramel
oranges
caramel
cheese
cheese
pears
oranges
93
Topic 4 - Data Analysis, Statistics, and Probability
37. A cook wants to serve one more vegetable with dinner. He can choose from either green
beans or carrots. He will serve one meat chosen from either chicken or turkey. Which tree
diagram shows all the possible combinations of one meat and one vegetable the cook can
choose from?
[A]
[B]
green beans
chicken
chicken
turkey
carrots
green beans
green beans
turkey
carrots
carrots
[C]
[D]
chicken
green beans
green beans
turkey
chicken
carrots
carrots
chicken
green beans
turkey
carrots
carrots
Obj. 158 - Determine an experimental probability given a list of results
38. Two friends are playing a game with a spinner. The spinner can land on one of three moves.
Lucas kept track of his results for 36 spins. The results are shown in the table.
Result of Spin
Move Ahead 1 Space
Move Back 1 Space
Move Ahead 2 Spaces
Frequency
20
4
12
What is the experimental probability of the spinner landing on “move ahead 2 spaces”?
[A]
1
3
[B]
1
2
[C]
94
5
9
[D]
1
9
Topic 4 - Data Analysis, Statistics, and Probability
39. The coach of a boys’ basketball team kept track of the free throws made by the team
members during practice. The results of the last 60 free-throw attempts made by each of five
players are shown in the table. To the nearest whole percent, what is the experimental
probability that Kyle will make his next free throw?
Player
Kyle
Colin
Koji
Gavin
Hamid
[A] 59%
Successful Free Throws
37
24
21
18
47
[B] 37%
[C] 38%
[D] 62%
Obj. 159 - Determine the probability of a single event
40. The names of the months of the year are written on slips of paper, and the slips of paper are
placed in a bag.
JANUARY, FEBRUARY, MARCH, APRIL, MAY, JUNE, JULY,
AUGUST, SEPTEMBER, OCTOBER, NOVEMBER, DECEMBER
If one slip of paper is randomly drawn from the bag, what is the probability the name of the
month on the slip will end with the letter R?
[A]
1
3
[B]
1
2
[C]
1
4
[D]
5
12
41. On one school day, 4 students in Megan’s class walked to school. There were
8 students who rode bikes to school, and 5 students who rode buses to school. The
remaining 9 students were driven to school by parents. One student in the class is selected at
random. To the nearest percent, what is the probability that student was driven to school by
a parent?
[A] 85%
[B] 15%
[C] 35%
95
[D] 65%
Topic 4 - Data Analysis, Statistics, and Probability
Obj. 160 - Determine the probability of the complement of a single event
42. Twelve people qualified for a game show. There are 2 women in the group. A random
drawing will be used to select one person to compete on the show. What is the probability
the person chosen is not a woman?
[A]
5
6
[B]
6
7
[C]
1
5
[D]
1
6
43. One hundred people each correctly answered a question in a radio-show contest. Their
names will be entered into a drawing, and 2 people will win prizes. What is the probability
of not winning a prize in the drawing?
[A] 0.08
[B] 0.02
[C] 0.002
[D] 0.98
Obj. 161 - Make a prediction based on a theoretical probability
44. The spinner below is spun 80 times. How many times is it likely to land on “lose a turn”?
[A] 20
[B] 10
[C] 30
96
[D] 5
Topic 4 - Data Analysis, Statistics, and Probability
45. The spinner below is spun 40 times. How many times will the spinner likely land on the
letter B?
B
W
W
B
W
G
W
Y
[A] 10
[B] 15
[C] 20
[D] 5
Obj. 162 - Compare predictions from experimental and theoretical probability
46. In an experiment, a coin was tossed 200 times. Of those tosses, 88 were heads. What is the
difference between the experimental probability and the theoretical probability of tossing
heads on the coin?
[A]
1
10
[B]
3
50
[C]
3
100
[D]
3
25
47. The spinner below was spun 100 times. The spinner landed on the number three
22 times. What is the difference between the experimental probability and the theoretical
probability of spinning a three?
2
1
3
4
[A] 2%
5
[B] 20%
[C] 1%
97
[D] 22%
Topic 4 - Data Analysis, Statistics, and Probability
Obj. 163 - Determine the number of possible combinations of a set of objects
48. In a school election Alex, Beth, and Clayton are running for class president and Louis,
Molly, Nihal, Olivia, and Pascal are running for class vice president. How many
combinations of candidates for president and vice president are possible?
[A] 13
[B] 18
[C] 15
[D] 8
49. A cell phone manufacturer makes cell phones in slider, dual hinge, swivel, and flip styles.
The phone comes in navy, silver, red, gold, and pink. How many different style and color
combinations for cell phones does the company make?
[A] 9
[B] 18
[C] 20
98
[D] 25
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