Download Grade 5 - Midland ISD

Math Management Software
Grade 5
Second Edition
Texas Standards - Aligned
Library Guide
Renaissance Learning
P. O. Box 8036
Wisconsin Rapids, WI 54495-8036
Phone: (800) 338-4204
FAX: (715) 424-4242
Email: [email protected]
Support Email: [email protected]
Web Site: www.renlearn.com
Copyright Notice
© 2009, Renaissance Learning, Inc. All Rights Reserved.
This publication is protected by U.S. and international copyright laws. It is unlawful to duplicate or reproduce any
copyrighted material without authorization from the copyright holder. This document may be reproduced only by
staff members in schools that have a license for Accelerated Math software. For more information, contact
Renaissance Learning, Inc., at the address above.
Accelerated Math, Renaissance, and Renaissance Learning are trademarks of Renaissance Learning, Inc., and its
subsidiaries, registered, common law, or pending registration in the United States and in other countries.
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 value of a digit in a whole number
with six or more digits .............................................................................1
Obj. 2 - Determine the word form of a number with five
or more digits ..........................................................................................1
Obj. 3 - Read a whole number with four or more digits .........................1
Obj. 4 - Compare whole numbers with five or more digits
by using the symbols <, >, and = ............................................................2
Obj. 5 - Order whole numbers with five or more digits in
ascending or descending order ...............................................................2
Obj. 6 - Determine if a number to 50 is prime or composite .................3
Obj. 7 - Determine a complete list of whole number factor
pairs for a number to 50..........................................................................3
Obj. 8 - Determine all the factors of a whole number to 50....................3
Obj. 9 - Determine the prime factorization of a number
to 50 .........................................................................................................3
Obj. 10 - Determine the common factors for two whole numbers
to 50 .........................................................................................................4
Obj. 11 - Determine the greatest common factor of two whole
numbers to 50..........................................................................................4
Obj. 12 - Determine the multiple(s) of a number ...................................4
Obj. 13 - Determine common multiples for two whole numbers ...........4
Obj. 14 - Determine the least common multiple of two whole
numbers...................................................................................................5
Obj. 15 - Apply divisibility rules for 2, 5, or 10........................................5
Obj. 16 - Multiply a 3-digit whole number by a 2-digit
whole number..........................................................................................5
Obj. 17 - Multiply three 1- and 2-digit whole numbers...........................5
Obj. 18 - WP: Multiply a 3-digit whole number by a 2-digit
whole number..........................................................................................6
Obj. 19 - Multiply a 3- or 4-digit whole number by a 3-digit
whole number..........................................................................................6
Obj. 20 - WP: Multiply a 3- or 4-digit whole number by
a 3-digit whole number ...........................................................................6
Obj. 21 - Divide a multi-digit whole number by multiples
of 100 or 1,000 ........................................................................................6
Obj. 22 - Divide a multi-digit whole number by a 1-digit
number, with no remainder and at least one zero in the quotient .........7
Obj. 23 - Divide a multi-digit whole number by a 1-digit
number, with a remainder and at least one zero in the quotient ...........7
Obj. 24 - Divide a multi-digit whole number by a 1-digit
number and express the quotient as a mixed number ...........................7
Obj. 25 - Divide a multi-digit whole number by a 1-digit
number and express the quotient as a decimal ......................................7
Obj. 26 - Divide a multi-digit whole number by a 2-digit
whole number, with no remainder and no zeros in the quotient ...........8
Obj. 27 - Divide a multi-digit whole number by a 2-digit
whole number, with a remainder and no zeros in the quotient .............8
Obj. 28 - Divide a multi-digit whole number by a 2-digit
whole number, with no remainder and at least one zero in the quotient
Obj. 29 - Divide a multi-digit whole number by a 2-digit
whole number, with a remainder and at least one zero in the quotient.8
Obj. 30 - Divide a multi-digit whole number by a 2-digit
whole number and express the quotient as a mixed number.................9
Obj. 31 - WP: Divide a whole number, with no remainder.....................9
Obj. 32 - WP: Divide a whole number and interpret the remainder......10
Obj. 33 - WP: Solve a 2-step problem involving whole numbers...........10
Obj. 34 - Know the effects of rounding ...................................................11
Obj. 35 - Estimate a quotient using compatible numbers ......................11
Obj. 36 - Estimate a quotient using any method ....................................11
Obj. 37 - WP: Estimate a quotient using any method ............................12
Obj. 38 - Relate a sharing situation to a fraction....................................12
Obj. 39 - Determine equivalent fractions not in simplest
form .........................................................................................................12
Obj. 40 - Determine the simplest form of a fraction ..............................13
Obj. 41 - Compare fractions with unlike denominators .........................13
Obj. 42 - Order fractions with unlike denominators in ascending
or descending order.................................................................................13
Obj. 43 - Add fractions with like denominators greater
than 10 and simplify the sum ..................................................................13
8
Obj. 44 - Subtract fractions with like denominators greater
than 10 and simplify the difference.........................................................14
Obj. 45 - WP: Add or subtract fractions with like denominators
and simplify the sum or difference .........................................................14
Obj. 46 - Convert a mixed number to an improper fraction ..................15
Obj. 47 - Convert an improper fraction to a mixed number...................15
Obj. 48 - Add mixed numbers with like denominators and
simplify the sum ......................................................................................16
Obj. 49 - Subtract mixed numbers with like denominators
and simplify the difference......................................................................16
Obj. 50 - WP: Add or subtract mixed numbers with like denominators
and simplify the sum or difference .........................................................17
Obj. 51 - Round a fraction to a benchmark number of 0,
1/2, or 1 ....................................................................................................17
Obj. 52 - Estimate a fraction sum using benchmark numbers
0, 1/2, and 1 .............................................................................................17
Obj. 53 - Estimate a fraction difference using benchmark
numbers 0, 1/2, and 1..............................................................................18
Obj. 54 - WP: Estimate a fraction sum or difference using
benchmark numbers 0, 1/2, and 1 ..........................................................18
Obj. 55 - Determine the value of a digit in a decimal number
to thousandths.........................................................................................19
Obj. 56 - Determine a decimal number represented in expanded
form .........................................................................................................19
Obj. 57 - Represent a decimal number in expanded form......................19
Obj. 58 - Compare decimal numbers to thousandths represented
in expanded form ....................................................................................20
Obj. 59 - Compare decimal numbers of differing places to
thousandths .............................................................................................20
Obj. 60 - Order decimal numbers of differing places to
thousandths in ascending or descending order ......................................20
Obj. 61 - Determine the fraction equivalent to a decimal
number model .........................................................................................21
Obj. 62 - Add two decimal numbers of differing places to
thousandths .............................................................................................21
Obj. 63 - Add three or more decimal numbers .......................................22
Obj. 64 - Add decimal numbers and whole numbers .............................22
Obj. 65 - Subtract two decimal numbers of differing places
to thousandths.........................................................................................22
Obj. 66 - Subtract a decimal number from a whole number
or a whole number from a decimal number ...........................................22
Obj. 67 - WP: Add or subtract decimal numbers through thousandths.23
Obj. 68 - WP: Add or subtract a decimal number through
thousandths and a whole number...........................................................23
Obj. 69 - Round a decimal number to a specified decimal
place to thousandths ...............................................................................24
Obj. 70 - Estimate the sum of two decimal numbers through
thousandths and less than 1 by rounding to a specified place................24
Obj. 71 - Estimate the difference of two decimal numbers
through thousandths and less than 1 by rounding to a specified place..24
Obj. 72 - WP: Estimate the sum or difference of two decimal
numbers through thousandths using any method .................................24
Obj. 73 - Multiply a decimal number through thousandths
by 10, 100, or 1,000 .................................................................................25
Obj. 74 - WP: Multiply a decimal through thousandths by
10, 100, or 1,000......................................................................................25
Obj. 75 - Multiply a money amount by a 2- or 3-digit whole
number ....................................................................................................26
Obj. 76 - WP: Multiply a money amount by a 2-digit whole
number ....................................................................................................26
Obj. 77 - Convert a decimal number through thousandths
to a simplified fraction ............................................................................26
Obj. 78 - Convert a fraction with a denominator that is
a factor of 10, 100, or 1,000 to decimal notation....................................26
Obj. 79 - Determine a model of a percent on a 100 grid.........................27
Obj. 80 - Determine the percent represented by a model
on a 100 grid ............................................................................................29
Obj. 81 - Relate an equivalent fraction and percent given
a grid ........................................................................................................29
Obj. 82 - Relate an equivalent decimal and percent given
a grid ........................................................................................................30
Obj. 83 - Evaluate a numerical expression involving three
operations, with no parentheses, using order of operations ..................31
Obj. 84 - Evaluate a numerical expression involving three
operations, with parentheses, using order of operations .......................31
Topic 2 - Algebra..............................................................................................32
Obj. 85 - Use a variable expression with one operation
to represent a verbal expression .............................................................32
Obj. 86 - Use a verbal expression to represent a variable
expression with one operation ................................................................32
Obj. 87 - WP: Use a variable expression with one operation
to represent a situation ...........................................................................32
Obj. 88 - Evaluate a 1-variable expression, involving one
operation, using whole number substitution..........................................32
Obj. 89 - Evaluate a 2-variable expression, involving one
operation, using whole number substitution..........................................33
Obj. 90 - WP: Evaluate a 1-variable expression with one
operation using a whole number value ...................................................33
Obj. 91 - WP: Evaluate a 2-variable expression with one
operation using whole number values ....................................................33
Obj. 92 - WP: Extend a pattern to solve a problem ................................34
Obj. 93 - Generate a table of paired numbers based on a
variable expression with one operation ..................................................35
Obj. 94 - Generate a table of paired numbers based on a
variable expression with two operations ................................................36
Obj. 95 - Determine the variable expression with one operation
for a table of paired numbers ..................................................................37
Obj. 96 - WP: Generate a table of paired numbers based
on a variable expression with one operation ..........................................38
Obj. 97 - WP: Determine the variable expression with one
operation for a table of paired numbers .................................................39
Obj. 98 - Use a first quadrant graph to represent the values
from a table generated in context ...........................................................39
Topic 3 - Geometry and Measurement............................................................42
Obj. 99 - Determine an appropriate unit of measure .............................42
Obj. 100 - Convert between customary units of length involving
mixed units ..............................................................................................42
Obj. 101 - Convert between customary units of capacity
involving mixed units ..............................................................................42
Obj. 102 - Convert between customary units of weight involving
mixed units ..............................................................................................42
Obj. 103 - Convert between metric units of capacity using
whole numbers ........................................................................................42
Obj. 104 - Convert between metric units of mass using whole
numbers...................................................................................................43
Obj. 105 - Convert between millimeters and centimeters
or meters using whole numbers..............................................................43
Obj. 106 - Calculate elapsed time using a.m. and p.m............................43
Obj. 107 - WP: Calculate elapsed time using a.m. and p.m. ...................43
Obj. 108 - WP: Use a calendar to solve a problem..................................44
Obj. 109 - WP: Solve a problem involving a change in temperature......45
Obj. 110 - Measure an angle to the nearest 5 degrees.............................45
Obj. 111 - Determine a method for finding the perimeter
of a shape given the side lengths.............................................................46
Obj. 112 - Determine the perimeter of a polygon....................................47
Obj. 113 - Determine a method for finding the area of a
shape ........................................................................................................47
Obj. 114 - Use a formula to determine the area of a triangle ..................48
Obj. 115 - Determine the area of a complex figure divided
into basic shapes......................................................................................49
Obj. 116 - Use a formula to determine the area of a parallelogram........50
Obj. 117 - WP: Determine the area of a triangle......................................50
Obj. 118 - WP: Determine the area of a square or rectangle ..................51
Obj. 119 - WP: Determine a missing dimension given the
area and another dimension ...................................................................51
Obj. 120 - Determine the volume of a rectangular prism
given a diagram .......................................................................................51
Obj. 121 - WP: Determine the volume of a rectangular prism
given a diagram .......................................................................................52
Obj. 122 - Determine the volume of a rectangular prism .......................53
Obj. 123 - WP: Determine the volume of a rectangular prism ...............53
Obj. 124 - Answer a question by analyzing a shape made
of cubes ....................................................................................................54
Obj. 125 - Determine the surface area of a cube or a rectangular
prism given a net .....................................................................................55
Obj. 126 - Determine the surface area of a rectangular
prism........................................................................................................56
Obj. 127 - WP: Find the surface area of a rectangular prism..................56
Obj. 128 - Determine the 3-dimensional shape that can be
formed from a net....................................................................................57
Obj. 129 - Determine a net of a 3-dimensional shape ............................59
Obj. 130 - Determine the number of faces, edges, and vertices
in a 3-dimensional shape ........................................................................60
Obj. 131 - Determine the result of a reflection, a rotation,
or a translation on a grid .........................................................................61
Obj. 132 - Determine the transformation that generates
the image of a figure on a grid.................................................................64
Obj. 133 - Locate a point by following compass directions
on a grid ...................................................................................................65
Obj. 134 - Use compass directions to describe a path to
a point on a grid.......................................................................................66
Obj. 135 - Determine the location of an ordered pair in
the first quadrant.....................................................................................67
Obj. 136 - Determine the ordered pair of a point in the
first quadrant...........................................................................................68
Topic 4 - Data Analysis, Statistics, and Probability ........................................70
Obj. 137 - Read a line graph ....................................................................70
Obj. 138 - Use a line graph to represent data..........................................71
Obj. 139 - Answer a question using information from a line
graph........................................................................................................74
Obj. 140 - Answer a question using information from a line
graph that does not start at zero or has a broken vertical scale .............75
Obj. 141 - WP: Extend a line graph to solve a problem...........................76
Obj. 142 - Use information from a table or a chart to solve
a problem.................................................................................................77
Obj. 143 - Answer a question using information from a Venn
diagram....................................................................................................78
Obj. 144 - Determine the mode from a graph .........................................79
Obj. 145 - Determine the range from a graph .........................................80
Obj. 146 - Determine the mean of a set of whole number
data, whole number results.....................................................................81
Obj. 147 - Determine the median of an odd number of data
values .......................................................................................................82
Obj. 148 - Determine the mode of a set of whole number
data ..........................................................................................................82
Obj. 149 - Determine the range of a set of whole number
data ..........................................................................................................83
Obj. 150 - Determine all possible outcomes of a compound
event using a list ......................................................................................83
Obj. 151 - Determine the probability of a single event
given the total number of possible outcomes .........................................84
Obj. 152 - Make a prediction based on an experimental probability .....85
Topic 1 - Number Sense and Operations
Obj. 1 - Determine the value of a digit in a whole number with six or more digits
1. What is the value of the digit 1 in 263,471,598?
[A] 1 hundred
[B] 1 tens
[C] 1 million
[D] 1 thousand
2. What is the value of the digit 8 in the number 3,178,624?
[A] 8 hundred thousands
[B] 8 ten thousands
[C] 8 thousands
[D] 8 hundreds
Obj. 2 - Determine the word form of a number with five or more digits
3. What is the word form of 11,251?
[A] one hundred ten thousand, two hundred fifty-one
[B] eleven thousand, two hundred fifty-one
[C] eleven thousand, five hundred twenty-one
[D] one hundred one thousand, two hundred fifty-one
4. What is the word form of 230,047,001?
[A] two hundred three million, forty-seven thousand, one
[B] two hundred three million, four hundred seven thousand, one
[C] two hundred thirty million, forty-seven thousand, one
[D] two hundred thirty million, four hundred seventy thousand, one
5. What is the word form of 64,098,000,089?
[A] sixty-four billion, ninety-eight million, eighty-nine
[B] six hundred forty billion, ninety-eight million, eighty-nine
[C] six hundred forty million, ninety-eight thousand, eighty-nine
[D] sixty-four billion, nine hundred eighty million, eighty-nine
Obj. 3 - Read a whole number with four or more digits
6. What is the standard form of fifty-four thousand, eighty-three?
[A] 50,483
[B] 54,083
[C] 54,830
1
[D] 54,803
Topic 1 - Number Sense and Operations
7. What is the standard form of five hundred two million, five hundred thirty-two thousand,
nine hundred sixty?
[A] 502,532,960
[B] 502,532,906
[C] 502,532,096
[D] 502,523,960
8. What is the standard form of four hundred one thousand, seven hundred thirty-five?
[A] 410,735
[B] 41,735
[C] 401,375
[D] 401,735
Obj. 4 - Compare whole numbers with five or more digits by using the symbols <, >, and =
9. Which statement is true?
[A] 94,544 < 271,297
[B] 94,544 > 271,297
[C] 94,544 = 271,297
[B] 530,959 > 531,920
[C] 530,959 = 531,920
10. Which statement is true?
[A] 530,959 < 531,920
11. Which statement is true?
[A] 15,803,004 < 153,939,021
[B] 15,803,004 > 153,939,021
[C] 15,803,004 = 153,939,021
Obj. 5 - Order whole numbers with five or more digits in ascending or descending order
12. Which list of numbers is in order from least to greatest?
[A] 740,042; 720,223; 73,234
[B] 740,042; 73,234; 720,223
[C] 73,234; 720,223; 740,042
[D] 73,234; 740,042; 720,223
13. Which number is between the two given numbers?
628,483
[A] 643,542
643,528
[B] 636,731
[C] 628,469
2
[D] 643,530
Topic 1 - Number Sense and Operations
14. Which list of numbers is in order from greatest to least?
[A] 4,027,030; 22,202,370; 22,505,700
[B] 22,505,700; 22,202,370; 4,027,030
[C] 22,505,700; 4,027,030; 22,202,370
[D] 4,027,030; 22,505,700; 22,202,370
Obj. 6 - Determine if a number to 50 is prime or composite
15. Which number is a prime number?
[A] 21
16. Which number is a composite number?
[B] 39
[A] 40
[B] 37
[C] 1
[D] 5
[C] 29
[D] 13
Obj. 7 - Determine a complete list of whole number factor pairs for a number to 50
17. Which list shows all the factor pairs of 14?
[A]
1 , 13
2, 7
[B]
1 , 14
2, 7
[C]
1 , 14
2, 9
[D]
1 , 14
2 , 12
[C]
1 , 45
5, 9
,
[D]
3 , 15
5, 9
,
18. Which list shows all the factor pairs of 45?
[A]
1 , 45
3 , 15
5, 9
[B]
1 , 45
3 , 14
5, 9
Obj. 8 - Determine all the factors of a whole number to 50
19. Which list shows all the factors for 18?
[A] 2, 3, 6, 9, 18
[B] 1, 2, 3, 6, 9
[C] 1, 2, 3, 6, 9, 18
[D] 1, 2, 3, 6, 8, 18
20. Which list shows all the factors for 46?
[A] 1, 2, 23
[B] 1, 2, 23, 46
[C] 1, 2, 24, 46
[D] 2, 23, 46
Obj. 9 - Determine the prime factorization of a number to 50
21. What is the prime factorization of 27?
[A] 3 × 3 × 3
[B] 3 × 9
[C] 2 × 3 × 3
3
[D] 27 is prime
Topic 1 - Number Sense and Operations
22. What is the prime factorization of 35?
[A] 5 × 5 × 7
[B] 7 × 7 × 7 × 7 × 7
[C] 5 × 7
[D] 35 is prime
Obj. 10 - Determine the common factors for two whole numbers to 50
23. What are all the common factors of 14 and 22?
[A] 1, 2, 11
[B] 1, 2, 7
[C] 2
[D] 1, 2
24. What are all the common factors of 48 and 33?
[A] 3
[B] 1, 3
[C] 1, 2, 3
[D] 1, 3, 11
Obj. 11 - Determine the greatest common factor of two whole numbers to 50
25. What is the greatest common factor of 10 and 15?
[A] 5
[B] 2
[C] 3
[D] 30
26. What is the greatest common factor of 40 and 50?
[A] 200
[B] 20
[C] 5
[D] 10
Obj. 12 - Determine the multiple(s) of a number
27. Which number is a multiple of 18?
[A] 20
[B] 56
[C] 72
[D] 9
28. What are the first five multiples of 12 that are greater than zero?
[A] 12, 20, 24, 32, 36
[B] 12, 24, 36, 48, 60
[C] 1, 12, 20, 24, 32
[D] 1, 12, 24, 36, 46
Obj. 13 - Determine common multiples for two whole numbers
29. Which list shows common multiples for 6 and 9?
[A] 19, 36, 54
[B] 18, 36, 53
[C] 18, 36, 54
[D] 18, 37, 54
30. Which number is a common multiple of 21 and 18?
[A] 105
[B] 3
[C] 72
4
[D] 252
Topic 1 - Number Sense and Operations
Obj. 14 - Determine the least common multiple of two whole numbers
31. What is the least common multiple of 11 and 9?
[A] 88
[B] 99
[C] 198
[D] 90
32. What is the least common multiple of 20 and 32?
[A] 160
[B] 20
[C] 640
[D] 260
[C] 65,746
[D] 41,705
[C] 122,503
[D] 545,503
[C] 617,479
[D] 317,589
Obj. 15 - Apply divisibility rules for 2, 5, or 10
33. Which number is divisible by 2?
[A] 66,293
[B] 12,967
34. Which number is divisible by 5?
[A] 784,490
[B] 484,204
35. Which number is divisible by 10?
[A] 585,006
[B] 811,400
Obj. 16 - Multiply a 3-digit whole number by a 2-digit whole number
36. Multiply: 138 × 88
37.
867
× 49
[A] 13,144
[A] 43,583
[B] 13,244
[B] 43,483
[C] 12,144
[C] 42,483
[D] 12,244
[D] 42,583
Obj. 17 - Multiply three 1- and 2-digit whole numbers
38. Multiply: 4 × 15 × 6
39. Multiply: 33 × 8 × 75
[A] 84
[B] 360
[A] 3,600
[B] 19,700
5
[C] 1,440
[C] 19,800
[D] 3,600
[D] 1,980
Topic 1 - Number Sense and Operations
Obj. 18 - WP: Multiply a 3-digit whole number by a 2-digit whole number
40. Mrs. Robertson pays $955 each month to rent an apartment. How much money will she
have paid for rent after 13 months?
[A] $3,920
[B] $12,305
[C] $3,820
[D] $12,415
41. There are 73 apartments in a building. Each apartment has a floor area of
698 square feet. What is the total floor area of all the apartments in the building?
[A] 50,954 square feet
[B] 50,944 square feet
[C] 771 square feet
[D] 6,980 square feet
Obj. 19 - Multiply a 3- or 4-digit whole number by a 3-digit whole number
42. Multiply: 413 × 375
[A] 153,875
43.
2,575
× 777
[B] 154,875
[A] 2,000,775
[C] 154,865
[B] 2,008,545
[D] 154,975
[C] 2,000,755
[D] 1,999,665
Obj. 20 - WP: Multiply a 3- or 4-digit whole number by a 3-digit whole number
44. Katie wanted to know how many raisins are in a box. She counted 284 raisins. If the same
number of raisins are in each box, how many raisins can she expect to find in 218 boxes?
[A] 61,812
[B] 3,114
[C] 61,912
[D] 3,124
45. A craft company sells buckets of foam stickers. Each bucket contains 849 stickers. If the
company sells 3,263 buckets, how many foam stickers does it sell?
[A] 2,770,287
[B] 7,820,772
[C] 7,820,672
[D] 2,771,287
Obj. 21 - Divide a multi-digit whole number by multiples of 100 or 1,000
46. Divide: 1,200 ÷ 300
[A] 40
[B] 400
[C] 4
[D] 14
47. Divide: 156,000 ÷ 2,000
[A] 690
[B] 780
[C] 77
[D] 78
6
Topic 1 - Number Sense and Operations
Obj. 22 - Divide a multi-digit whole number by a 1-digit number, with no remainder and at
least one zero in the quotient
48. Divide: 315 ÷ 3
49. 4 1,204
[A] 205
[A] 302
[B] 150
[B] 310
[C] 250
[D] 105
[C] 301
[D] 401
Obj. 23 - Divide a multi-digit whole number by a 1-digit number, with a remainder and at
least one zero in the quotient
50. Divide: 781 ÷ 3
[A] 260 R1
51. Divide: 5,104 ÷ 5
[A] 1,220 R3
[B] 240 R1
[C] 250 R1
[B] 1,020 R4
[D] 360 R1
[C] 1,010 R4
[D] 920 R3
Obj. 24 - Divide a multi-digit whole number by a 1-digit number and express the quotient
as a mixed number
(Express the quotient as a mixed number in simplest form.)
52. 6 495
[A] 83
2
3
[B] 82
[C] 82
1
2
[D] 83
1
2
(Express the quotient as a mixed number in simplest form.)
53. 6 5,905
[A] 985
1
3
1
6
[B] 985
1
3
[C] 984
1
3
[D] 984
1
6
Obj. 25 - Divide a multi-digit whole number by a 1-digit number and express the quotient
as a decimal
54. 2 421
[A] 21.05
[B] 210.5
[C] 210.0
[D] 210.6
55. 2 6,965
[A] 3,482.0
[B] 3,482.5
[C] 3,482.4
[D] 348.25
7
Topic 1 - Number Sense and Operations
Obj. 26 - Divide a multi-digit whole number by a 2-digit whole number, with no remainder
and no zeros in the quotient
56. Divide: 150 ÷ 25
57.
51 4,182
58. 13 9,256
[A] 15
[B] 5
[C] 16
[D] 6
[A] 82
[B] 92
[C] 83
[D] 72
[A] 702
[B] 712
[C] 612
[D] 713
Obj. 27 - Divide a multi-digit whole number by a 2-digit whole number, with a remainder
and no zeros in the quotient
59. Divide: 362 ÷ 14
60. 39 2,597
61. 95 8,665
[A] 25 R12
[A] 65 R23
[A] 91 R19
[B] 26 R26
[B] 66 R22
[B] 91 R20
[C] 24 R26
[C] 65 R62
[C] 90 R20
[D] 25 R13
[D] 66 R23
[D] 90 R115
Obj. 28 - Divide a multi-digit whole number by a 2-digit whole number, with no remainder
and at least one zero in the quotient
62. Divide: 420 ÷ 21
[A] 30
[B] 20
[C] 200
[D] 110
63. 45 8,100
[A] 1,710
[B] 170
[C] 1,800
[D] 180
64. 11 4,840
[A] 430
[B] 4,310
[C] 440
[D] 4,400
Obj. 29 - Divide a multi-digit whole number by a 2-digit whole number, with a remainder
and at least one zero in the quotient
65. Divide: 357 ÷ 35
[A] 110 R7
[B] 10 R7
8
[C] 10 R6
[D] 101 R7
Topic 1 - Number Sense and Operations
66. 94 9,690
67. 16 8,325
[A] 103 R8
[A] 5,200 R5
[B] 1,030 R8
[B] 5,110 R5
[C] 940 R8
[C] 520 R5
[D] 104 R9
[D] 510 R5
Obj. 30 - Divide a multi-digit whole number by a 2-digit whole number and express the
quotient as a mixed number
68. Divide and express the quotient as a mixed number in simplest form: 1,309 ÷ 16
[A] 81
13
16
43
47
70. 59 5,826
[A] 99
3
4
[C] 82
13
16
[D] 81
7
8
(Simplify the answer if possible.)
69. 47 372
[A] 8
[B] 82
45
59
[B] 7
43
47
[C] 7
42
47
[D] 6
42
47
(Simplify the answer if possible.)
[B] 98
43
59
[C] 97
44
59
[D] 98
44
59
Obj. 31 - WP: Divide a whole number, with no remainder
71. Felisa is putting beads into jewelry kits. Each kit gets 28 beads. If Felisa has
504 beads, how many jewelry kits can she fill?
[A] 180
[B] 170
[C] 17
[D] 18
72. A baseball stadium contains 23,564 seats. The stadium is divided into 86 sections, each
with the same number of seats. How many seats are in each section?
[A] 23
[B] 274
[C] 24
[D] 194
73. A hotel manager is buying wallpaper for the rooms in his hotel. Each roll of wallpaper
costs $44. If he spent $4,752, how many rolls of wallpaper did the hotel manager buy?
[A] 1,008
[B] 107
[C] 998
9
[D] 108
Topic 1 - Number Sense and Operations
Obj. 32 - WP: Divide a whole number and interpret the remainder
74. An artist is preparing blank canvases. He has to paint each canvas with an undercoat. He
needs 60 mL of undercoat paint for each canvas. If he has 1,050 mL of undercoat paint,
how many canvases will the artist be able to prepare?
[A] 47
[B] 15
[C] 17
[D] 18
75. A baker made 388 dinner rolls for a banquet. The rolls are served in baskets that can hold
no more than 16 rolls each. What is the fewest number of baskets the baker needs to hold
all the rolls?
[A] 25
[B] 29
[C] 24
[D] 26
76. Alex is planting a flower garden. He has a packet that contains 190 seeds. He uses as many
of the seeds as possible to plant 17 rows, with the same number of seeds in each row. How
many seeds are in each of the rows?
[A] 15
[B] 11
[C] 12
[D] 14
Obj. 33 - WP: Solve a 2-step problem involving whole numbers
77. A farmer packs eggs into cartons of 12. The farmer has 825 eggs, but wants to keep
21 eggs for her family. How many full cartons would the farmer be able to sell?
[A] 67
[B] 39
[C] 68
[D] 38
78. A disc jockey is organizing her music. She has 206 albums with 13 songs on each of them
and 154 singles with 1 song on each of them. How many total songs does the disc jockey
have?
[A] 4,680
[B] 2,524
[C] 2,832
[D] 2,208
79. Rose’s family is going on a car trip to visit her grandmother who lives 1,024 miles away.
The first day, they travel an average of 41 miles each hour, for 16 hours. How many miles
is the family from the grandmother’s house at the end of that time?
[A] 368 mi
[B] 656 mi
[C] 967 mi
10
[D] 2,624 mi
Topic 1 - Number Sense and Operations
Obj. 34 - Know the effects of rounding
80. Rounded to the nearest meter, the distance a baseball traveled after being hit was measured
as 99 m. To the nearest hundredth of a meter, what is the longest distance the baseball
could actually have traveled?
[A] 98.50 m
[B] 99.50 m
[C] 99.10 m
[D] 99.49 m
81. Rounded to the nearest thousand, the height of a mountain is 26,000 feet. To the nearest
foot, what is the least height the mountain could actually have?
[A] 26,001 ft
[B] 26,499 ft
[C] 25,500 ft
[D] 25,999 ft
Obj. 35 - Estimate a quotient using compatible numbers
82. Estimate the quotient by using compatible numbers: 5,260 ÷ 7
[A] 500
[B] 5,000
[C] 700
[D] 1,000
83. Estimate the quotient by using compatible numbers: 4 275
[A] 500
[B] 70
[C] 50
[D] 700
Obj. 36 - Estimate a quotient using any method
84. Which number is a reasonable estimate for 443 ÷ 5?
[A] 110
[B] 50
[C] 90
[D] 140
85. Which number is a reasonable estimate for the quotient?
700 30,129
[A] 400
[B] 60
[C] 600
11
[D] 40
Topic 1 - Number Sense and Operations
Obj. 37 - WP: Estimate a quotient using any method
86. Mandy works at a library. She is organizing 374 books in 5 shelf units. She wants to put
about the same number of books in each shelf unit. Which number is a reasonable estimate
of the number of books in each shelf unit?
[A] 70
[B] 90
[C] 50
[D] 150
87. There are 2,233 people in attendance at a concert. The arena contains 6 sections. Each
section is about the same size and full of people. Which number is a reasonable estimate of
the number of people sitting in each section?
[A] 30
[B] 600
[C] 400
[D] 120
Obj. 38 - Relate a sharing situation to a fraction
88. Mallory is going to use 12 feet of wire to make 11 bracelets. She will use the same amount
of wire for each bracelet. How much wire will she use to make each bracelet? Simplify the
answer if possible.
[A] 1
1
ft
11
[B]
1
ft
12
[C]
11
ft
12
[D] 1 ft
89. Anthony has 4 pots he wants to fill with potting soil. He has 9 pounds of potting soil. If he
uses all of the potting soil, and splits it evenly among the 4 pots, how many pounds of soil
will be in each pot? Simplify the answer if possible.
[A]
4
lb
9
[B] 9
1
lb
4
[C] 2
1
lb
4
[D]
1
lb
9
Obj. 39 - Determine equivalent fractions not in simplest form
90. Which fraction is equal to
9
?
15
[A]
13
19
[B]
12
20
[C]
27
60
[D]
13
21
91. Which fraction is equal to
22
?
32
[A]
32
47
[B]
44
96
[C]
33
48
[D]
25
35
12
Topic 1 - Number Sense and Operations
Obj. 40 - Determine the simplest form of a fraction
92. What is
9
written in simplest form?
27
[A]
2
3
[B]
3
3
93. What is
36
written in simplest form?
64
[A]
9
17
[B]
9
16
[C]
[C]
1
4
[D]
8
16
[D]
1
3
2
16
Obj. 41 - Compare fractions with unlike denominators
94. Which number sentence is true?
[A]
27 44
<
28 45
[B]
27 44
>
28 45
[C]
27 44
=
28 45
95. Which number sentence is true?
[A]
3 11
<
5 26
[B]
3 11
>
5 26
[C]
3 11
=
5 26
Obj. 42 - Order fractions with unlike denominators in ascending or descending order
96. Which list shows the fractions in order from greatest to least?
[A]
2 3 1 7
, , ,
3 4 5 12
[B]
2 7 3 1
,
, ,
3 12 4 5
[C]
3 2 7 1
, ,
,
4 3 12 5
[D]
2 3 7 1
, ,
,
3 4 12 5
97. Which list shows the fractions in order from least to greatest?
[A]
11 17 1 1
,
, ,
15 25 3 4
[B]
1 1 17 11
, ,
,
4 3 25 15
[C]
17 11 1 1
,
, ,
25 15 4 3
[D]
17 11 1 1
,
, ,
25 15 3 4
Obj. 43 - Add fractions with like denominators greater than 10 and simplify the sum
98. Add:
[A]
3
1
+
28 28
5
28
(Simplify the answer if possible.)
[B]
1
14
[C]
13
3
28
[D]
1
7
Topic 1 - Number Sense and Operations
99.
3
49
4
+
49
[A]
(Simplify the answer if possible.)
1
14
[B]
1
7
[C]
6
49
[D]
12
49
Obj. 44 - Subtract fractions with like denominators greater than 10 and simplify the
difference
100. Subtract:
[A]
101.
1
7
38
45
26
−
45
[A]
13
45
5
2
−
21 21
(Simplify the answer if possible.)
[B]
2
21
[C]
1
21
[D]
1
14
[C]
13
90
[D]
4
15
(Simplify the answer if possible.)
[B]
2
15
Obj. 45 - WP: Add or subtract fractions with like denominators and simplify the sum or
difference
102. Tala and Pam read books for Mrs. Bernard’s class reading contest. Tala read
11
of their
28
1
of their class’s total pages. What fraction of their
28
class’s total pages did Tala and Pam read in all? Simplify the answer if possible.
class’s total pages and Pam read
[A]
3
7
[B]
3
14
[C]
14
9
56
[D]
9
28
Topic 1 - Number Sense and Operations
17
13
of the time to make cars and
of the time to
44
44
make trains. How much more of the total time is the machine used to make cars than to
make trains? Simplify the answer if possible.
103. At a toy factory, a machine is used
[A]
10
11
[B]
1
11
[C]
21
22
[D]
1
22
168
24
[D]
191
24
421
48
[D]
347
48
Obj. 46 - Convert a mixed number to an improper fraction
104. Which improper fraction is equivalent to 7
[A]
181
24
[B]
155
24
[C]
105. Which improper fraction is equivalent to 8
[A]
384
48
[B]
13
?
24
37
?
48
431
48
[C]
Obj. 47 - Convert an improper fraction to a mixed number
106. What is the mixed number form of
[A] 16
1
24
[B] 1
2
3
[C] 40
107. What is the mixed number form of
[A] 1
2
15
40
? Simplify the answer if possible.
24
[B] 51
1
24
[D] 2
2
5
51
? Simplify the answer if possible.
45
1
45
[C] 2
15
2
15
[D] 1
2
17
Topic 1 - Number Sense and Operations
Obj. 48 - Add mixed numbers with like denominators and simplify the sum
4
2
108. Add: 3 + 7
5
5
[A] 10
109.
3
5
6
20
12
+ 8
20
7
[A] 15
(Simplify the answer if possible.)
[B] 11
2
5
[C] 12
1
5
[D] 11
1
5
[C] 16
9
20
[D] 15
19
20
(Simplify the answer if possible.)
9
10
[B] 15
9
20
Obj. 49 - Subtract mixed numbers with like denominators and simplify the difference
1
5
110. Subtract: 7 − 3
6
6
1
6
[A] 4
111.
17
24
5
− 5
24
8
[A] 3
1
2
(Simplify the answer if possible.)
[B] 3
1
3
[C] 3
1
2
[D] 2
1
6
[C] 3
11
24
[D] 3
5
6
(Simplify the answer if possible.)
[B] 3
5
24
16
Topic 1 - Number Sense and Operations
Obj. 50 - WP: Add or subtract mixed numbers with like denominators and simplify the
sum or difference
1
1
cups of water in the first step and 1 cups of water in the second
3
3
step. How much water is used in all? Simplify the answer if possible.
112. A recipe calls for 2
[A] 3
1
cups
3
[B] 3 cups
[C] 3
2
cups
3
[D] 4 cups
7
pounds of coffee to
8
5
make the customers’ drinks. After two hours, he had used a total of 7 pounds of coffee.
8
How much coffee did he use in the second hour? Simplify the answer if possible.
113. Gary worked at a coffee shop last Friday. In the first hour, he used 3
[A] 3
3
lb
4
[B] 4
1
lb
4
[C] 4
1
lb
8
[D] 3
3
lb
8
Obj. 51 - Round a fraction to a benchmark number of 0, 1/2, or 1
114. What is
3
1
rounded to the nearest ?
5
2
[A] 0
[B]
1
2
[C] 1
115. What is
2
1
rounded to the nearest ?
7
2
[A] 0
[B]
1
2
[C] 1
Obj. 52 - Estimate a fraction sum using benchmark numbers 0, 1/2, and 1
116. Estimate the sum by rounding each number to 0,
1
, or 1 before adding.
2
4 5
+
9 6
[A]
1
2
[B] 1
[C] 1
17
1
2
[D] 2
Topic 1 - Number Sense and Operations
117. Estimate the sum by rounding each number to 0,
1
, or 1 before adding.
2
5 5
+
12 9
[A] 0
[B]
1
2
[C] 1
[D] 1
1
2
Obj. 53 - Estimate a fraction difference using benchmark numbers 0, 1/2, and 1
118. Estimate the difference by rounding each number to 0,
1
, or 1 before subtracting.
2
2 4
−
3 7
[A] 0
[B]
1
2
[C] 1
119. Estimate the difference by rounding each number to 0,
1
, or 1 before subtracting.
2
2 1
−
7 7
[A] 0
[B]
1
2
[C] 1
Obj. 54 - WP: Estimate a fraction sum or difference using benchmark numbers 0, 1/2, and
1
120. Two tons of hay lasts one farmer 5 days. Two tons of hay lasts another farmer
2
2
1
11 days. Round each of the fractions and
to 0, , or 1 to estimate the total amount
5
11
2
of hay the two farmers use in one day.
[A]
1
ton
2
[B] 1 ton
[C] 1
18
1
tons
2
[D] 2 tons
Topic 1 - Number Sense and Operations
121. A farmer estimates that each day he feeds his chickens
1
bag of corn and he feeds his pigs
7
5
bag of corn. About how much more corn does he feed his pigs each day than he feeds
6
1
his chickens? Round each fraction to 0, , or 1 to estimate the difference.
2
[A] 0 bags
[B]
1
bag
2
[C] 1 bag
Obj. 55 - Determine the value of a digit in a decimal number to thousandths
122. What is the value of the 7 in 9.723?
[A] 7 hundreds
[B] 7 hundredths
[C] 7 tenths
[D] 7 tens
[C] 5 hundredths
[D] 5 thousandths
123. What is the value of the 5 in 4.857?
[A] 5 tens
[B] 5 tenths
Obj. 56 - Determine a decimal number represented in expanded form
124. What is the standard form of 10 + 0.5 + 0.07 + 0.002?
[A] 10.527
[B] 10.572
[C] 10.752
[D] 10.275
125. What decimal number can be written as 6 + 0.02 + 0.009?
[A] 6.209
[B] 60.92
[C] 6.092
[D] 6.029
Obj. 57 - Represent a decimal number in expanded form
126. What is the expanded form of 1.534?
[A] 1 + 0.4 + 0.03 + 0.005
[B] 1 + 0.5 + 0.04 + 0.003
[C] 1 + 0.5 + 0.03 + 0.004
[D] 1 + 0.3 + 0.05 + 0.004
127. What is the expanded form of 9.004?
[A] 9 + 0.004
[B] 90 + 0.004
[C] 9 + 0.4
19
[D] 9 + 0.04
Topic 1 - Number Sense and Operations
Obj. 58 - Compare decimal numbers to thousandths represented in expanded form
128. Compare the two decimals given in expanded form. Use <, >, or =.
4 + 0.2 + 0.03 + 0.004
4 + 0.3 + 0.07 + 0.002
[A] <
[B] >
[C] =
129. Compare the two decimals given in expanded form. Use <, >, or =.
9 + 0.03 + 0.008
9 + 0.03 + 0.008
[A] <
[B] >
[C] =
Obj. 59 - Compare decimal numbers of differing places to thousandths
130. Which statement is true?
[A] 0.915 < 0.92
131. Which statement is true?
[A] 0.8 < 0.725
[B] 0.915 > 0.92
[B] 0.8 > 0.725
[C] 0.915 = 0.92
[C] 0.8 = 0.725
Obj. 60 - Order decimal numbers of differing places to thousandths in ascending or
descending order
132. Which list shows the numbers in order from least to greatest?
[A] 2.352, 2.342, 2.3, 2.2
[B] 2.2, 2.342, 2.3, 2.352
[C] 2.2, 2.3, 2.342, 2.352
[D] 2.3, 2.2, 2.342, 2.352
133. Which list shows the numbers in order from greatest to least?
[A] 0.85, 0.859, 0.849, 0.58
[B] 0.859, 0.849, 0.85, 0.58
[C] 0.859, 0.85, 0.849, 0.58
[D] 0.58, 0.849, 0.85, 0.859
20
Topic 1 - Number Sense and Operations
Obj. 61 - Determine the fraction equivalent to a decimal number model
134. Which fraction is equal to 0.2?
[A]
4
5
[B]
1
5
[C]
2
6
[D]
2
3
135. Which fraction is equal to 0.15?
[A]
1
4
[B]
3
20
[C]
1
10
[D]
4
5
Obj. 62 - Add two decimal numbers of differing places to thousandths
136. Add: 6.526 + 6.4
137.
3.765
+ 6.24
[A] 12.926
[A] 9.905
[B] 12.826
[B] 9.105
21
[C] 13.926
[C] 10.005
[D] 14.026
[D] 9.005
Topic 1 - Number Sense and Operations
Obj. 63 - Add three or more decimal numbers
138. Add: 42.13 + 47.9 + 90.421
[A] 180.451
139.
56.64
10.3
22.106
+ 26.420
[B] 138.321
[A] 105.166
[C] 132.551
[B] 89.046
[D] 181.451
[C] 58.826
[D] 115.466
Obj. 64 - Add decimal numbers and whole numbers
140. Add: 4 + 20.35 + 10.342
141.
[A] 33.692
[A] 201.894
44.474
[B] 34.592
[B] 202.994
[C] 33.592
[C] 202.894
[D] 34.692
[D] 201.994
88
+ 70.52
Obj. 65 - Subtract two decimal numbers of differing places to thousandths
142. Subtract: 29.122 − 19.1
143.
79.896
− 48.93
[A] 27.212
[A] 31.966
[B] 10.022
[B] 31.066
[C] 28.931
[C] 30.966
[D] 11.022
[D] 30.956
Obj. 66 - Subtract a decimal number from a whole number or a whole number from a
decimal number
144. Subtract: 76 − 23.4
145.
75594
.
− 41
[A] 52.5
[A] 34.594
[B] 51.5
[B] 34.694
22
[C] 53.6
[C] 34.494
[D] 52.6
[D] 35.694
Topic 1 - Number Sense and Operations
Obj. 67 - WP: Add or subtract decimal numbers through thousandths
146. A handyman is tiling a living room floor. Each tile is 38.1 cm wide. The final space at the
end of a row of tiles is 23.7 cm wide. How much will the handyman have to cut off the last
tile to make it fit in the final space?
[A] 14.5 cm
[B] 15.4 cm
[C] 14.4 cm
[D] 15.1 cm
147. Marta watched her brother in a go-kart race. The fastest lap time was
52.539 seconds. Marta’s brother took 10.530 seconds longer to complete a lap. What was
Marta’s brother’s lap time?
[A] 63.069 s
[B] 61.869 s
[C] 42.009 s
[D] 62.969 s
148. A scientist recorded the amount of food a baby rabbit ate each day. On one day, the rabbit
ate 73.16 g of food for one meal, and 64.76 g of food for a second meal. How many grams
of food did the rabbit eat that day?
[A] 137.91 g
[B] 136.92 g
[C] 138.02 g
[D] 137.92 g
Obj. 68 - WP: Add or subtract a decimal number through thousandths and a whole
number
149. Pam was making a wooden pencil holder. She found a piece of wood 13.6 cm wide and
26 cm long. She needed to shorten the length to 21.25 cm. How much did Pam need to cut
off the piece of wood?
[A] 3.75 cm
[B] 12.4 cm
[C] 4.75 cm
[D] 7.65 cm
150. Mrs. Butler is fixing a cabinet door that is sticking. She finds that the top of the door must
be sanded down 0.008 m to keep it from sticking. The door is 1 m high before it is sanded.
What is the height of the door after it is sanded?
[A] 0.920 m
[B] 1.008 m
[C] 0.992 m
[D] 0.990 m
151. Jacob is making a pearl necklace. The length of the strand is 30 inches. He adds a
0.16-inch clasp to the end of the strand. What is the total length of the completed
necklace?
[A] 31.6 in.
[B] 30.16 in.
[C] 30.176 in.
23
[D] 30.15 in.
Topic 1 - Number Sense and Operations
Obj. 69 - Round a decimal number to a specified decimal place to thousandths
152. Round 7.1361 to the nearest hundredth.
[A] 7.14
153. Round 3.99427 to the nearest tenth.
[A] 4
[B] 7.2
[B] 3.0
[C] 7.13
[C] 3.9
[D] 8.0
[D] 4.0
Obj. 70 - Estimate the sum of two decimal numbers through thousandths and less than 1 by
rounding to a specified place
154. Estimate the sum by rounding each number to the nearest tenth: 0.632 + 0.012
[A] 0.6
[B] 0.7
[C] 0.8
[D] 0.5
155. Estimate the sum by rounding each number to the nearest hundredth: 0.072 + 0.063
[A] 0.15
[B] 0.14
[C] 0.16
[D] 0.13
Obj. 71 - Estimate the difference of two decimal numbers through thousandths and less
than 1 by rounding to a specified place
156. Estimate the difference by rounding each number to the nearest tenth: 0.76 − 0.57
[A] 0.4
[B] 0.1
[C] 0.3
[D] 0.2
157. Estimate the difference by rounding each number to the nearest hundredth: 0.077 − 0.061
[A] 0.03
[B] 0.04
[C] 0.02
[D] 0.01
Obj. 72 - WP: Estimate the sum or difference of two decimal numbers through thousandths
using any method
158. Amanda was training for the 400-meter race. Amanda had a personal record of
62.21 seconds. In a practice event, she had a time of 62.86 seconds. Which value is a
reasonable estimate of the difference between Amanda’s record time and her practice
time?
[A] 0.17 s
[B] 0.7 s
[C] 0.07 s
24
[D] 1.7 s
Topic 1 - Number Sense and Operations
159. Miki went to the deli to buy bacon and roast beef. The bacon was $3.25 and the roast beef
was $4.39. Which amount is a reasonable estimate of the total cost of the bacon and the
roast beef?
[A] $9.50
[B] $6.50
[C] $8.00
[D] $6.00
160. Blake and Victor entered their toy cars in a derby race. They rolled each car down a ramp
and measured how far it traveled. Blake’s car traveled 3.745 m. Victor’s car traveled
3.756 m. Which distance is a reasonable estimate of how much farther Victor’s car
traveled than Blake’s did?
[A] 0.8 m
[B] 0.6 m
[C] 0.001 m
[D] 0.01 m
Obj. 73 - Multiply a decimal number through thousandths by 10, 100, or 1,000
161. Multiply: 3.672 × 10
[A] 36.72
[B] 3,672
[C] 3.6720
[D] 367.2
162.
100
× 0.89
[A] 8.9
[B] 890
[C] 89
[D] 0.8900
163.
1,000
× 8.4
[A] 8,400
[B] 84
[C] 84,000
[D] 840
Obj. 74 - WP: Multiply a decimal through thousandths by 10, 100, or 1,000
164. A snack company advertises the amount of protein in its snacks. A nut snack contains
0.077 g of protein per piece. How much protein is in 100 pieces?
[A] 770 g
[B] 7,700 g
[C] 7.7 g
[D] 77 g
165. A parent committee needs to buy 100 prizes for a school carnival. The best price they can
find is $2.57 per prize. How much will they spend on prizes?
[A] $25,700.00
[B] $257.00
[C] $2,570.00
[D] $102.57
166. A bike shop ordered 1,000 small parts from a factory. The postage fee for the order is
based on weight. Each part weighs 27.8 g. What is the total weight of the order?
[A] 278,000 g
[B] 278 g
[C] 2.78 g
25
[D] 27,800 g
Topic 1 - Number Sense and Operations
Obj. 75 - Multiply a money amount by a 2- or 3-digit whole number
167. Multiply: $513
. × 35
[A] $179.90
[B] $183.05
[C] $179.55
[D] $41.04
[B] $4,843.29
[C] $4,414.56
[D] $4,755.39
168. Multiply: $551
. × 879
[A] $4,496.16
Obj. 76 - WP: Multiply a money amount by a 2-digit whole number
169. Last month, Morgan sent 23 packages in the mail. If it cost her $7.97 to send each package,
what was the total cost?
[A] $173.31
[B] $30.97
[C] $183.31
[D] $30.87
170. A tailor needs 24 yards of fabric. One yard of the fabric costs $14.45. What is the total cost
of the fabric?
[A] $346.80
[B] $346.70
[C] $336.80
[D] $344.80
Obj. 77 - Convert a decimal number through thousandths to a simplified fraction
171. What is 0.29 written as a fraction? Simplify the answer if possible.
[A]
29
1,000
[B]
1
29
[C]
29
100
[D]
29
10
[D]
23
2,500
172. What is 0.092 written as a fraction? Simplify the answer if possible.
[A]
23
250
[B]
46
5
[C]
23
25
Obj. 78 - Convert a fraction with a denominator that is a factor of 10, 100, or 1,000 to
decimal notation
173. Which number is the decimal form of
[A] 0.008
4
?
50
[B] 0.18
[C] 0.08
26
[D] 0.09
Topic 1 - Number Sense and Operations
174. Which number is the decimal form of
[A] 0.14
7
?
50
[B] 0.15
[C] 0.24
Obj. 79 - Determine a model of a percent on a 100 grid
175. Which figure is shaded to represent 44%?
[A]
[B]
[C]
[D]
176. Which figure is shaded to represent 70%?
27
[D] 0.014
Topic 1 - Number Sense and Operations
[A]
[B]
[C]
[D]
(176.)
28
Topic 1 - Number Sense and Operations
Obj. 80 - Determine the percent represented by a model on a 100 grid
177. What percent of the figure is shaded?
[A] 43%
[B] 0.43%
[C] 57%
[D] 49%
[C] 81%
[D] 19%
178. What percent of the figure is shaded?
[A] 810%
[B] 8.1%
Obj. 81 - Relate an equivalent fraction and percent given a grid
179. The shaded part of the figure below represents
Which percent is equal to
[A] 40%
2
.
5
2
?
5
[B] 60%
[C] 4%
29
[D] 50%
Topic 1 - Number Sense and Operations
180. The shaded part of the figure below represents 80%.
Which fraction is equal to 80%?
[A]
7
10
[B]
2
25
[C]
1
8
[D]
4
5
Obj. 82 - Relate an equivalent decimal and percent given a grid
181. The shaded part of the figure below represents 10%.
What decimal number can be written as 10%?
[A] 0.1
[B] 0.05
[C] 0.01
30
[D] 1
Topic 1 - Number Sense and Operations
182. The shaded part of the figure below represents the decimal number 0.25.
What percent can be written as 0.25?
[A] 2.5%
[B] 25%
[C] 0.25%
[D] 250%
Obj. 83 - Evaluate a numerical expression involving three operations, with no parentheses,
using order of operations
183. Simplify: 6 × 11 − 7 + 10
[A] 69
[B] 49
[C] 34
[D] 84
184. Simplify: 16 × 8 + 40 ÷ 8
[A] 21
[B] 96
[C] 133
[D] 208
185. Simplify: 80 − 15 ÷ 5 + 65
[A] 64
[B] 78
[C] 26
[D] 142
Obj. 84 - Evaluate a numerical expression involving three operations, with parentheses,
using order of operations
b
g
186. Simplify: 4 × 16 + 7 − 13
[A] 40
[B] 79
[C] 58
[D] 109
b
g
[A] 112
[B] 22
[C] 180
[D] 90
b
g
[A] 35
[B] 41
[C] 22
[D] 16
187. Simplify: 18 × 6 + 24 ÷ 6
188. Simplify: 12 + 26 − 6 ÷ 2
31
Topic 2 - Algebra
Obj. 85 - Use a variable expression with one operation to represent a verbal expression
1. Which expression means the same as “3 more than a number”?
[A] 3m
[B] m + 3
[C]
m
3
[D] m − 3
2. Which expression means the same as “a number multiplied by 5”?
[A] 5p
[B] p − 5
[C] p ÷ 5
[D] p + 5
Obj. 86 - Use a verbal expression to represent a variable expression with one operation
3. Which word phrase means the same as c + 5?
[A] a number minus 5
[B] 5 less than a number
[C] a number plus 5
[D] 5 times a number
4. Which word phrase means the same as
a
?
5
[A] 5 decreased by a number
[B] the product of 5 and a number
[C] a number multiplied by 5
[D] the quotient of a number and 5
Obj. 87 - WP: Use a variable expression with one operation to represent a situation
5. It cost $36 to rent a bike for n days. Which expression represents the cost for one day?
[A] $36 − n
[B] $36 ÷ n
[C] n × $36
[D] n + $36
6. Katie is 5 inches shorter than Aksana. Aksana is s inches tall. Which expression represents
Katie’s height in inches?
[A]
s
5
[B] s + 5
[C] s × 5
[D] s − 5
Obj. 88 - Evaluate a 1-variable expression, involving one operation, using whole number
substitution
7. What is the value of 9 + b when b = 14?
[A] 5
32
[B] 24
[C] 4
[D] 23
Topic 2 - Algebra
8. What is the value of 6k when k = 2?
[A] 4
[B] 62
[C] 12
[D] 8
Obj. 89 - Evaluate a 2-variable expression, involving one operation, using whole number
substitution
9. What is the value of x + y when x = 18 and y = 16?
[A] 34
[B] 24
[C] 23
[D] 2
[C] 9
[D] 8
10. What is the value of xy when x = 8 and y = 1?
[A] 16
[B] 81
Obj. 90 - WP: Evaluate a 1-variable expression with one operation using a whole number
value
11. Five people equally share the cost of a meal. The total cost of the meal is $35. Use the
c
expression , where c is the total cost of the meal, to find how much each person pays.
5
[A] $30
[B] $7
[C] $175
[D] $6
12. Laila pays $24 for a meal and leaves a tip of $ x. Use the expression x + 24 to find the total
Laila pays if she leaves a $5 tip.
[A] $19
[B] $5
[C] $34
[D] $29
Obj. 91 - WP: Evaluate a 2-variable expression with one operation using whole number
values
13. The number of styles of girl’s shoes, g, and boy’s shoes, b, a department store sells is
represented by g + b. The store has 15 styles of girl’s shoes and 18 styles of boy’s shoes.
How many styles of girl’s shoes and boy’s shoes does the store sell in all?
[A] 31
[B] 30
[C] 3
33
[D] 33
Topic 2 - Algebra
14. At a summer camp, there are 114 children and 19 camp counselors. The number of
children can be represented by h. The number of camp counselors can be represented by g.
The children are split into groups, with one camp counselor leading each group. The number
of children in each group is represented by h ÷ g. How many children are in each group?
[A] 6
[B] 7
[C] 95
[D] 105
Obj. 92 - WP: Extend a pattern to solve a problem
15. Ted tutors students in math. The table shows how much he makes for the number of hours
he tutors.
Number of Hours Tutored Amount of Money Earned ($)
2
32
3
48
4
64
5
80
How many hours will Ted have to tutor to make $160?
[A] 14 hr
[B] 11 hr
[C] 6 hr
[D] 10 hr
16. Samia is planning a vacation. She has decided that she can spend up to $1,215 to rent a
motel room. The table shows the cost of staying at one of the motels she is considering.
Number of Nights
Total Cost ($)
4
5
6
7
384 480 576 672
If Samia stays at that motel for 10 nights, how much less than $1,215 will the room cost?
[A] $255
[B] $243
[C] $244
34
[D] $254
Topic 2 - Algebra
Obj. 93 - Generate a table of paired numbers based on a variable expression with one
operation
17. Which table is correctly completed using the rule d − 7 to find the output?
[A]
Input Output
bd g bd − 7 g
27
28
29
30
[C]
[B]
20
27
34
41
bd g bd − 7 g
20
21
22
23
Input Output
bd g bd − 7 g
20
21
22
23
Input Output
[D]
27
28
29
30
27
34
41
48
Input Output
bd g bd − 7 g
27
28
29
30
20
21
22
23
18. Which table is correctly completed using the rule p ÷ 7 to find the output?
[A]
Input
b pg
Output
b p ÷ 7g
[C]
Input
b pg
Output
b p ÷ 7g
63 70 77 84
9
10 11 12
9
10 11 12
[B]
Input
b pg
Output
b p ÷ 7g
[D]
Input
b pg
Output
b p ÷ 7g
56 63 70 84
35
9
10 11 12
63 70 77 84
63 70 77 84
8
9
10 12
Topic 2 - Algebra
Obj. 94 - Generate a table of paired numbers based on a variable expression with two
operations
19. Which table is correctly completed using the rule 6a + 13 to find the output?
[A]
[C]
Input
Output
3
4
5
6
5
11
17
23
Input
Output
3
4
5
6
31
37
43
49
bag b6a + 13g
[B]
bag b6a + 13g
[D]
20. Which table is correctly completed using the rule
[A]
Input
b yg
54 63 72 81
[B]
Output
FG y + 4IJ
H9 K
[C]
Input
b yg
Output
3
4
5
6
57
76
95
114
Input
Output
3
4
5
6
31
39
45
49
bag b6a + 13g
bag b6a + 13g
y
+ 4 to find the output?
9
Input
b yg
54 135 144 81
Output
FG y + 4IJ
H9 K
10 11 12 13
54 63
72
81
[D]
Output
FG y + 4IJ
H9 K
Input
Input
b yg
11
12
13
14
54 135 144 81
Output
FG y + 4IJ
H9 K
86 95 104 113
36
10
11
12
13
Topic 2 - Algebra
Obj. 95 - Determine the variable expression with one operation for a table of paired
numbers
21. Which expression can be used to find the output numbers in the table?
bg
Input c
9
10
11
12
Output
18
20
22
24
[A] c ÷ 2
[C] c + 9
[B] 2c
[D] 9 − c
22. Which expression can be used to find the output numbers in the table?
bg
Input a
30
31
32
33
[A] 2 − a
Output
32
33
34
35
[B] a − 2
[C] 2a
37
[D] a + 2
Topic 2 - Algebra
Obj. 96 - WP: Generate a table of paired numbers based on a variable expression with one
operation
23. A school cafeteria cook is preparing lunch and needs to know how many packages of
vegetables to open. Each package of vegetables contains 5 servings. Which table correctly
shows 5p, the number of servings in p packages?
[A]
Number of Vegetable Packages, p
Number of Servings Made, 5 p
16 17 18 19 20
80 85 90 95 100
[B]
Number of Vegetable Packages, p
Number of Servings Made, 5 p
16 17 18 19 20
85 90 95 100 105
[C]
Number of Vegetable Packages, p
Number of Servings Made, 5 p
16 17 18 19 20
75 80 85 90 95
[D]
Number of Vegetable Packages, p
Number of Servings Made, 5 p
16 17 18 19 20
21 22 23 24 25
24. An outdoor concert promoter hires between 120 and 168 people to work on cleanup crews
for concerts. Each crew has 12 workers and one cleanup kit. Which table shows w ÷ 12, the
number of cleanup kits needed for w workers?
[A]
Number of Workers for the Event, w
120 132 144 156 168
Number of Cleanup Kits Needed, w ÷ 12 9
10 11 12 13
[B]
Number of Workers for the Event, w
120 132 144 156 168
Number of Cleanup Kits Needed, w ÷ 12 132 144 156 168 180
[C]
Number of Workers for the Event, w
120 132 144 156 168
Number of Cleanup Kits Needed, w ÷ 12 10 11 12 13 14
[D]
Number of Workers for the Event, w
120 132 144 156 168
Number of Cleanup Kits Needed, w ÷ 12 108 120 132 144 156
38
Topic 2 - Algebra
Obj. 97 - WP: Determine the variable expression with one operation for a table of paired
numbers
25. Adrienn is shopping for concert tickets. The local concert hall charges a service fee for each
ticket purchased. The table shows the ticket cost, t, for five different concerts.
Ticket Price
$24 $27 $34 $37 $50
Cost of Ticket After Service Fee, t $26 $29 $36 $39 $52
Which expression can be used to calculate the ticket price before the service fee?
[A] t + 24
[B] t − 2
[C]
26
t
[D] 24t
26. The Courtyard Tennis Center is buying tennis balls for the summer camp. The tennis balls
are sold in boxes. The table shows the number of boxes needed to get a given number of
tennis balls.
Number of Tennis Balls, b 36 72 108 144 180 216
Number of Boxes
9
12
15
18
21
24
Which expression can be used to find the number of boxes the Courtyard Tennis Center will
need to buy if they want b tennis balls?
[A] 18 + b
[B] b − 4
[C]
b
4
[D] 4b
Obj. 98 - Use a first quadrant graph to represent the values from a table generated in
context
27. Terrel saves some money each week. The table shows the amount he has saved.
Weeks ( x ) Amount Saved ( y )
2
$2
4
$3
6
$4
8
$5
Which graph shows the information in the table?
39
Topic 2 - Algebra
[A]
y
10
8
6
4
2
0
[B]
2
4
6 8 10 x
Weeks
2
4
6 8 10 x
Weeks
2
4
6 8 10 x
Weeks
2
4
6 8 10 x
Weeks
y
10
8
6
4
2
0
[C]
y
10
8
6
4
2
0
[D]
y
10
8
6
4
2
0
(27.)
40
Topic 2 - Algebra
28. Sam has saved 10 dollars. He uses this money to purchase sports cards. The table shows
how much of the money he has left.
Sports Cards Purchased ( x ) Amount Remaining ( y )
2
$8
4
$6
6
$4
8
$2
Which graph shows the information in the table?
[A]
y
10
y
10
8
8
6
6
4
4
2
2
0
[C]
[B]
0
2 4 6 8 10 x
Sports Cards Purchased
y
10
[D]
y
10
8
8
6
6
4
4
2
2
0
0
2 4 6 8 10 x
Sports Cards Purchased
41
2 4 6 8 10 x
Sports Cards Purchased
2 4 6 8 10 x
Sports Cards Purchased
Topic 3 - Geometry and Measurement
Obj. 99 - Determine an appropriate unit of measure
1. Which unit could be used to measure the height of a rabbit?
[A] cubic inch
[B] inch
[C] square inch
2. Which unit could be used to measure the area of Alaska?
[A] mile
[B] cubic mile
[C] square mile
Obj. 100 - Convert between customary units of length involving mixed units
3. Convert 11 feet into yards and feet.
[A] 4 yd 1 ft
[B] 3 yd 3 ft
4. 11 feet 6 inches =
[C] 3 yd 2 ft
[A] 132
inches
[B] 138
[D] 3 yd
[C] 126
[D] 139
Obj. 101 - Convert between customary units of capacity involving mixed units
5. Which measure is equivalent to 7 pints?
[A] 1 qt 2 pt
[B] 1 qt 3 pt
[C] 3 qt 1 pt
[D] 2 qt 1 pt
[C] 12 fl oz
[D] 36 fl oz
6. Convert 2 cups 4 fluid ounces to fluid ounces.
[A] 20 fl oz
[B] 8 fl oz
Obj. 102 - Convert between customary units of weight involving mixed units
7. Convert 1 ton 1,300 pounds to pounds.
[A] 3,500 lb
[B] 3,300 lb
[C] 2,300 lb
[D] 1,400 lb
[C] 2 lb 6 oz
[D] 1 lb 3 oz
8. Which measure is equivalent to 22 ounces?
[A] 1 lb 6 oz
[B] 1 lb 12 oz
Obj. 103 - Convert between metric units of capacity using whole numbers
9. 9 liters =
milliliters
[A] 900
42
[B] 90
[C] 90,000
[D] 9,000
Topic 3 - Geometry and Measurement
10. 23,000 milliliters =
[A] 230
liters
[B] 2,300
[C] 23
[D] 23,000
Obj. 104 - Convert between metric units of mass using whole numbers
11. 5 kilograms =
12. 13,000 grams =
[A] 130,000
grams
[A] 500
[B] 5,000
[C] 50,000
[D] 50
kilograms
[B] 1,300
[C] 13
[D] 130
Obj. 105 - Convert between millimeters and centimeters or meters using whole numbers
13. 6 centimeters =
[A] 600
14. 7 meters =
millimeters
[B] 60,000
millimeters
[C] 60
[A] 700
[B] 7,000
[D] 6,000
[C] 70,000
[D] 70
Obj. 106 - Calculate elapsed time using a.m. and p.m.
15. How much time elapsed between 11:02 p.m. one evening and 6:47 a.m. the next morning?
[A] 7 hr 45 min
[B] 6 hr 45 min
[C] 5 hr 45 min
[D] 17 hr 49 min
16. How much time elapsed between 9:38 a.m. one morning and 5:04 p.m. that same day?
[A] 4 hr 34 min
[B] 6 hr 26 min
[C] 14 hr 42 min
[D] 7 hr 26 min
Obj. 107 - WP: Calculate elapsed time using a.m. and p.m.
17. Omar and his classmates left school to go on a field trip at 9:45 a.m. They returned to school
at 4:36 p.m. How long were Omar and his classmates gone?
[A] 6 hr 51 min
[B] 5 hr 9 min
[C] 7 hr 6 min
[D] 5 hr 36 min
18. Henry arrived at his grandfather’s house at 5:50 p.m. on Saturday. He left his grandfather’s
house at 10:47 a.m. on Sunday. How long was Henry at his grandfather’s house?
[A] 10 hr 52 min
[B] 16 hr 57 min
[C] 17 hr 47 min
43
[D] 28 hr 57 min
Topic 3 - Geometry and Measurement
Obj. 108 - WP: Use a calendar to solve a problem
19. On April 7, Lucy began soccer practice. Her team played their first game 22 days later.
What day did Lucy’s soccer team play their first game?
APRIL
Sunday
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
[A] April 24
[B] April 28
[C] April 27
[D] April 29
20. Namid and his father built a deck in their backyard. They began building the deck on
March 24 and finished 5 weeks after that. What date did Namid and his father finish
building the deck?
APRIL
MARCH
Sun
Mon Tues Wed Thurs
Fri
Sat
Sun
Mon Tues Wed Thurs
Fri
Sat
1
2
3
1
2
3
4
5
6
7
8
9
10
11
12
13
4
5
6
7
8
9
10
14
15
16
17
18
19
20
11
12
13
14
15
16
17
21
22
23
24
25
26
27
18
19
20
21
22
23
24
28
29
30
31
25
26
27
28
29
30
[A] March 28
[B] April 21
[C] April 28
44
[D] March 29
Topic 3 - Geometry and Measurement
Obj. 109 - WP: Solve a problem involving a change in temperature
21. In winter, the average temperature of the water surrounding an island in the Caribbean Sea
is 77°F. In summer, the average water temperature is 82°F. What is the difference between
the average summer and average winter water temperatures?
[A] 3°F
[B] 15°F
[C] 6°F
[D] 5°F
22. Mr. Hong is cooking a pot roast for a dinner party. To make sure it is cooked to the right
temperature, he uses a food thermometer. The last time he checked the thermometer it read
136°F. The temperature of the roast needs to rise 9° for the roast to be done. At what
temperature will the roast be fully cooked?
[A] 127°F
[B] 155°F
[C] 137°F
[D] 145°F
Obj. 110 - Measure an angle to the nearest 5 degrees
23. Use a protractor to find the measure of the angle.
[A] 70°
[B] 110°
[C] 75°
[D] 115°
24. Use a protractor to find the measure of the angle.
[A] 165°
[B] 160°
[C] 20°
45
[D] 25°
Topic 3 - Geometry and Measurement
Obj. 111 - Determine a method for finding the perimeter of a shape given the side lengths
25. Which expression can be used to find the perimeter of this shape?
6m
6m
8m
6m
6m
[A] 6 m + 6 m + 6 m + 6 m − 8 m
[B] 6 m + 6 m + 6 m + 6 m + 8 m
[C] 6 m + 6 m + 6 m + 6 m
[D] 6 m × 6 m × 8 m
26. Which expression can be used to find the perimeter of this shape?
11 m
5m
5m
13 m
5m
5m
11 m
[A] 5 m + 5 m + 5 m + 5 m + 11 m + 11 m + 13 m
[B] 5 m + 5 m + 5 m + 5 m + 11 m + 11 m − 13 m
[C] 5 m + 5 m + 5 m + 5 m + 11 m + 11 m
[D] 5 m × 11 m × 13 m
46
Topic 3 - Geometry and Measurement
Obj. 112 - Determine the perimeter of a polygon
27. What is the perimeter of the figure?
2 cm
3 cm
5 cm
11 cm
8 cm
7 cm
[A] 34 cm
[B] 36 cm
[C] 33 cm
[D] 28 cm
28. Each side of a regular pentagon measures 70 feet. What is the perimeter of the pentagon?
[A] 345 ft
[B] 350 ft
[C] 4,900 ft
[D] 280 ft
Obj. 113 - Determine a method for finding the area of a shape
29. Which expression can be used to find the area of the triangle?
(not drawn to scale)
13 cm
5 cm
12 cm
b
g
[A] 12 cm + 5 cm + 13 cm
[B]
1
× 12 cm + 5 cm
2
1
× 13 cm × 5 cm
2
[D]
1
× 12 cm × 5 cm
2
[C]
47
Topic 3 - Geometry and Measurement
30. Which expression can be used to find the total area of the figure below?
4 ft
(not drawn to scale)
24 ft
22 ft
b
g
22 ft × b24 ft − 4 ft g
[A] 22 ft × 24 ft + 4 ft
[B] 24 ft × 22 ft × 4 ft
[C]
[D] 24 ft × 22 ft + 4 ft
b
g
31. Which expression can be used to find the area of the parallelogram?
(not drawn to scale)
13 ft
12 ft
15 ft
[A] 13 ft × 12 ft
[B] 15 ft × 12 ft
[C] 15 ft × 13 ft
[D] 2 × 15 ft + 2 × 13 ft
Obj. 114 - Use a formula to determine the area of a triangle
32. What is the area of the triangle?
19 yd
6 yd
10 yd
(Not drawn to scale)
26 yd
[A] 156 yd 2
[B] 81 yd 2
[C] 190 yd 2
48
[D] 78 yd 2
Topic 3 - Geometry and Measurement
33. What is the area of a triangle with a base of 24 m and a height of 19 m?
[A] 456 m2
[B] 228 m2
[C] 114 m2
[D] 62 m2
Obj. 115 - Determine the area of a complex figure divided into basic shapes
34. What is the area of the figure?
11 cm
10 cm
16 cm
11 cm
[A] 61 cm2
13 cm
[B] 254 cm2
[C] 215 cm2
[D] 384 cm2
[C] 148 ft 2
[D] 1,080 ft
35. What is the area of the figure?
20 ft
54 ft
20 ft
54 ft
[A] 1,620 ft
2
[B] 1,520 ft
2
49
2
Topic 3 - Geometry and Measurement
Obj. 116 - Use a formula to determine the area of a parallelogram
36. What is the area of the parallelogram?
28 in.
20 in.
16 in.
[A] 320 in 2
[B] 550 in 2
[C] 448 in 2
[D] 560 in 2
37. What is the area of a parallelogram with a base of 18 cm and a height of 24 cm?
[A] 432 cm2
[B] 216 cm2
[C] 84 cm2
[D] 392 cm2
Obj. 117 - WP: Determine the area of a triangle
38. Walter needs to know if he has enough paint for the sail of his model ship. In order to figure
this out, he needs to find the area of the sail. The sail is a triangle with a base of 16 cm and a
height of 44 cm. What is its area?
[A] 60 cm2
[B] 120 cm2
[C] 352 cm2
[D] 235 cm2
39. Reece will cut a square cloth to make two triangular scarves. Each side of the cloth
measures 36 inches. How many square inches of cloth will be used for each scarf?
36 in.
36 in.
[A] 648 in 2
[B] 432 in 2
[C] 1,296 in
50
2
[D] 144 in 2
Topic 3 - Geometry and Measurement
Obj. 118 - WP: Determine the area of a square or rectangle
40. The parks department plans to cover a rectangular field in a park with grass and must find
the area of the field. The field is 15 m longer than it is wide. The width of the field is
30 m. What is the area to be seeded?
[A] 120 m2
[B] 1,350 m
2
[C] 2,700 m
2
[D] 1,430 m
2
41. Mrs. Doyle is buying wall-to-wall carpet for two bedrooms in her house. Both bedrooms are
rectangles that are 10 feet wide. One bedroom is 11 feet long, and the other is 12 feet long.
What is the total area to be carpeted?
[A] 242 ft 2
[B] 172 ft 2
[C] 230 ft 2
[D] 66 ft 2
Obj. 119 - WP: Determine a missing dimension given the area and another dimension
42. A homeowner is planting a vegetable garden. The location for the garden is 10 m long. The
owner wants to have at least 80 square meters of garden area. What is the smallest possible
width of the garden?
[A] 8 m
[B] 6 m
[C] 9 m
[D] 10 m
43. An architect is designing a gym for a new elementary school. The gym will be 110 feet long
and have an area of 6,600 square feet. What will be the width of the gym?
[A] 120 ft
[B] 50 ft
[C] 60 ft
[D] 81 ft
Obj. 120 - Determine the volume of a rectangular prism given a diagram
44. What is the volume of the rectangular prism?
(Not drawn to scale)
14 ft
14 ft
14 ft
[A] 2,744 ft
3
[B] 42 ft 3
[C] 1176
,
ft
51
3
[D] 1,066 ft
3
Topic 3 - Geometry and Measurement
45. What is the volume of the rectangular prism?
(Not drawn to scale)
27 ft
27 ft
18 ft
[A] 2,916 ft
3
[B] 972 ft 3
[C] 872 ft 3
[D] 13,122 ft
3
Obj. 121 - WP: Determine the volume of a rectangular prism given a diagram
46. Mr. Harding wants to put a pool in his backyard. He has room for a pool that is 7 feet wide,
15 feet long, and 4 feet deep. What will be the volume of the pool?
[A] 420 ft 3
[B] 210 ft 3
[C] 105 ft 3
52
[D] 52 ft 3
Topic 3 - Geometry and Measurement
47. A rectangular container is filled with water to a depth of 20 mm. The container is 40 mm
long and 30 mm wide. The container is then put in a freezer until the water is completely
frozen. The depth of the ice in the container is 22 mm. How much did the volume change
when the water turned to ice?
(Not drawn to scale)
22 mm
20 mm
30 mm
40 mm
[A] 24,000 mm
3
[B] 2,400 mm
3
[C] 1,600 mm
3
[D] 2,300 mm
3
Obj. 122 - Determine the volume of a rectangular prism
48. A cube measures 10 feet along each edge. What is the volume of the cube?
[A] 1,000 ft
3
[B] 300 ft 3
[C] 30 ft 3
[D] 900 ft 3
49. A rectangular prism has a base area of 144 cm2 . The height of the prism is 5 cm. What is the
volume of the prism?
[A] 149 cm3
[B] 20,761 cm
3
[C] 710 cm3
[D] 720 cm3
Obj. 123 - WP: Determine the volume of a rectangular prism
50. A rectangular storage shed is half full of boxes. The shed is 6 feet long and 5 feet wide and
the ceiling is 7 feet high. What is the remaining storage volume available?
[A] 203 ft 3
[B] 36 ft 3
[C] 210 ft 3
53
[D] 105 ft 3
Topic 3 - Geometry and Measurement
51. A farmer uses rectangular troughs to provide his dairy cows with water. Each trough is
40 inches long and 24 inches wide. If each trough is 14 inches deep, what is the volume of
water one trough will hold?
[A] 960 in 3
[B] 13,440 in
3
[C] 156 in 3
[D] 6,720 in
3
Obj. 124 - Answer a question by analyzing a shape made of cubes
52. The large solid shape shown below was a cube with 3 smaller blocks along each edge. Some
smaller blocks were removed from it. There are no hidden holes in the new shape. How
many of the smaller blocks are needed to remake the cube?
[A] 12
[B] 17
[C] 18
[D] 15
53. In the figure below, each small block weighs 6 g. There are no hidden holes in the shape.
What is the weight of the figure?
[A] 26 g
[B] 150 g
[C] 156 g
54
[D] 384 g
Topic 3 - Geometry and Measurement
Obj. 125 - Determine the surface area of a cube or a rectangular prism given a net
54. Use the net to find the surface area of the cube.
6 ft
6 ft
6 ft
6 ft
6 ft
6 ft
[A] 108 ft 2
[B] 216 ft 2
[C] 144 ft 2
[D] 384 ft 2
55. Use the net to find the surface area of the rectangular prism.
14 m
5m
3m
5m
14 m
3m
[A] 254 m2
[B] 64 m2
[C] 210 m2
55
[D] 127 m2
Topic 3 - Geometry and Measurement
Obj. 126 - Determine the surface area of a rectangular prism
56. What is the surface area of the rectangular prism?
2m
2m
3m
[A] 6 m2
[B] 12 m2
[C] 32 m2
[D] 56 m2
57. What is the surface area of the rectangular prism?
7m
6m
15 m
[A] 224 m2
[B] 315 m2
[C] 630 m2
[D] 474 m2
Obj. 127 - WP: Find the surface area of a rectangular prism
58. A rectangular cooler is to be made from a large sheet of plastic foam. The cooler will be
12 inches by 10 inches by 9 inches. How many square inches of plastic are needed to make
the cooler?
[A] 396 in 2
[B] 636 in 2
[C] 1,080 in
56
2
[D] 318 in 2
Topic 3 - Geometry and Measurement
59. The walls and ceiling of a hotel room are to be painted. The floor is a 20-foot square
and the ceiling is 8 feet high. Ignoring any doors or windows, what is the surface area of the
walls and the ceiling to be painted?
[A] 640 ft 2
[B] 3,200 ft
2
[C] 1,440 ft
2
[D] 1,040 ft
Obj. 128 - Determine the 3-dimensional shape that can be formed from a net
60. Which solid shape can be formed by folding the net?
[A]
[B]
[C]
57
[D]
2
Topic 3 - Geometry and Measurement
61. Which solid shape can be formed by folding the net?
[A]
[B]
[C]
58
[D]
Topic 3 - Geometry and Measurement
Obj. 129 - Determine a net of a 3-dimensional shape
62. Which net can be folded to make this cube?
[A]
[B]
[C]
[D]
59
Topic 3 - Geometry and Measurement
63. Which net can be folded to make a cylinder?
[A]
[B]
[C]
[D]
Obj. 130 - Determine the number of faces, edges, and vertices in a 3-dimensional shape
64. How many faces does the solid shape have?
[A] 7
[B] 4
[C] 5
65. How many edges does the solid shape have?
[A] 10
[B] 12
[C] 11
60
[D] 8
[D] 13
Topic 3 - Geometry and Measurement
66. How many vertices does the solid shape have?
[A] 11
[B] 9
[C] 10
[D] 8
Obj. 131 - Determine the result of a reflection, a rotation, or a translation on a grid
67. Which picture shows a reflection of the figure in position A over the line?
[B]
[A]
A
A
[C]
[D]
A
A
61
Topic 3 - Geometry and Measurement
68. Which picture shows a 270° clockwise rotation of the figure in position A about the point?
[A]
[B]
A
A
[C]
[D]
A
A
62
Topic 3 - Geometry and Measurement
69. Which picture shows the figure in position A translated 5 spaces to the left and 2 spaces
down?
[A]
[B]
A
A
[C]
[D]
A
A
63
Topic 3 - Geometry and Measurement
Obj. 132 - Determine the transformation that generates the image of a figure on a grid
70. Which transformation would move the figure from position A to position B?
line 1
A
line 2
P
B
[A] Reflect the figure over line 1.
[B] Reflect the figure over line 2.
[C] Translate the figure 13 spaces down.
[D] Rotate the figure 90° clockwise about point P.
71. Which transformation would move the figure from position A to position B?
line 1
line 2
P
B
A
[A] Rotate the figure 90° clockwise about point P.
[B] Rotate the figure 180° about point P.
[C] Reflect the figure over line 1.
[D] Translate the figure 8 spaces to the left.
64
Topic 3 - Geometry and Measurement
Obj. 133 - Locate a point by following compass directions on a grid
72. Which point is 7 units west and 4 units north of point O?
N
K
M
O
W
E
L
P
S
[A] point K
[B] point L
[C] point M
[D] point P
73. Which point is 5 units east and 4 units south of point R?
N
U
V
R
X
T
W
E
S
[A] point T
[B] point U
[C] point V
65
[D] point X
Topic 3 - Geometry and Measurement
Obj. 134 - Use compass directions to describe a path to a point on a grid
74. Starting at point O, which path leads to point Q?
N
Q
O
W
E
S
[A] Go 4 units west, then 5 units north.
[B] Go 4 units west, then 5 units south.
[C] Go 4 units east, then 5 units south.
[D] Go 4 units east, then 5 units north.
75. Starting at point B, which path leads to point A?
N
A
W
B
E
S
[A] Go 9 units east, then 5 units south.
[B] Go 9 units east, then 5 units north.
[C] Go 9 units west, then 5 units north.
[D] Go 9 units west, then 5 units south.
66
Topic 3 - Geometry and Measurement
Obj. 135 - Determine the location of an ordered pair in the first quadrant
b g
76. Which graph shows the point M 1, 2 ?
[A]
y
10
[B]
y
10
M
M
0
[C]
0
10 x
y
10
[D]
y
10
M
M
0
10 x
0
10 x
67
10 x
Topic 3 - Geometry and Measurement
b g
77. Which graph shows the point T 5, 8 ?
[A]
y
10
[B]
y
10
T
T
0
[C]
y
10
0
0
10 x
[D]
T
y
10
10 x
T
0
10 x
10 x
Obj. 136 - Determine the ordered pair of a point in the first quadrant
78. What are the coordinates of point A?
y
10
A
0
[A]
b3, 3g
10
[B]
x
b3, 2g
[C]
68
b2, 3g
[D]
b 2, 4g
Topic 3 - Geometry and Measurement
79. What are the coordinates of point G?
y
10
G
0
[A]
b8, 6g
10
[B]
x
b6, 8g
[C]
69
b6, 9g
[D]
b7, 8g
Topic 4 - Data Analysis, Statistics, and Probability
Obj. 137 - Read a line graph
1. A team of scientists was doing an experiment. As part of the experiment, they recorded the
temperature of a liquid over five hours. The graph shows the results.
Temperature of a Liquid
20
18
16
14
12
Temperature (°C) 10
8
6
4
2
0
7 a.m.
8 a.m.
9 a.m. 10 a.m. 11 a.m.
Time
What was the temperature at 9 a.m.?
[A] 11° C
[B] 5° C
[C] 15° C
70
[D] 12° C
Topic 4 - Data Analysis, Statistics, and Probability
2. A market sells bags of oranges. The graph shows the average price of a bag of oranges over
five months.
Average Price of a Bag of Oranges
10
9
8
7
6
Price
5
(in dollars)
4
3
2
1
0
Apr
May
Jun
Month
Jul
Aug
What was the average price of a bag of oranges in June?
[A] $4.00
[B] $6.50
[C] $5.50
[D] $5.00
Obj. 138 - Use a line graph to represent data
3. The table shows the average price of a pair of gloves for five different years.
Average Price of a Pair of Gloves
Year 2000 2001 2002 2003 2004
Price $4
$6
$7
$8
$11
Find the line graph that matches.
[A]
$14
$12
$10
$8
Price $6
$4
$2
$0
Average Price of a Pair of Gloves
2000 2001 2002 2003 2004
Year
71
Topic 4 - Data Analysis, Statistics, and Probability
[B]
$14
$12
$10
$8
Price $6
$4
$2
$0
[C]
$14
$12
$10
$8
Price $6
$4
$2
$0
[D]
$14
$12
$10
$8
Price $6
$4
$2
$0
Average Price of a Pair of Gloves
2000 2001 2002 2003 2004
Year
Average Price of a Pair of Gloves
2000 2001 2002 2003 2004
Year
Average Price of a Pair of Gloves
2000 2001 2002 2003 2004
Year
(3.)
72
Topic 4 - Data Analysis, Statistics, and Probability
4. David’s aunt measures the difference in height between David and his brother. She started
when David was one year old. The list shows height differences in centimeters over five
years.
5, 7, 9, 7, 6
Find the line graph that matches the list.
[A]
Height Differences
12
10
8
Difference
6
(cm)
4
2
0
1
[B]
2
3
4
David’s Age
5
Height Differences
12
10
8
Difference
6
(cm)
4
2
0
1
[C]
2
3
4
David’s Age
5
Height Differences
12
10
8
Difference
6
(cm)
4
2
0
1
2
3
4
David’s Age
5
73
Topic 4 - Data Analysis, Statistics, and Probability
[D]
Height Differences
12
10
8
Difference
6
(cm)
4
2
0
1
2
3
4
David’s Age
5
(4.)
Obj. 139 - Answer a question using information from a line graph
5. Etu found the cost of ferry tickets from 1997 to 2001. She made the graph below.
$5.00
$4.50
$4.00
$3.50
$3.00
Cost $2.50
$2.00
$1.50
$1.00
$0.50
$0.00
Cost of a Ferry Ticket
1997 1998 1999 2000 2001
Year
What was the difference between the cost of a ticket in 1998 and its cost in 1999?
[A] $0.50
[B] $3.00
[C] $1.00
74
[D] $1.50
Topic 4 - Data Analysis, Statistics, and Probability
6. A class grew a tomato plant from seed. After the tomato plant started to grow, the class
recorded its height each week for five weeks. The graph shows the results.
18
16
14
12
Height 10
in cm 8
6
4
2
0
Height of a Tomato Plant
Week 1 Week 2 Week 3 Week 4 Week 5
Weeks
Between which two weeks did the height of the tomato plant change the most?
[A] week 1 and week 2
[B] week 2 and week 3
[C] week 3 and week 4
[D] week 4 and week 5
Obj. 140 - Answer a question using information from a line graph that does not start at
zero or has a broken vertical scale
7. The graph shows the number of new computers a chain of stores sold from January to June.
New Computers Sold
11
10
9
8
0
Jan
Feb
Mar
Apr
Month
May
Jun
How many fewer new computers were sold in March than in January?
[A] 2,000
[B] 2,400
[C] 2,200
75
[D] 3,200
Topic 4 - Data Analysis, Statistics, and Probability
8. A biologist studied a population of bald eagles over five years. The graph shows the number
of bald eagles in the population he studied.
Bald Eagle Population
600
550
500
450
400
1
2
3
Year
4
5
What was the decrease in the population of bald eagles from year 2 to year 4?
[A] 60
[B] 40
[C] 70
[D] 50
Obj. 141 - WP: Extend a line graph to solve a problem
9. The graph shows the price history of a toy invented 80 years ago.
Changes in the Price of a Toy
$160
$140
$120
$100
$80
$60
$40
$20
$0
0
20
40
60
80
Year
100
If the trend in the graph continues, by about how much will the price increase in the next 20
years?
[A] $50
[B] $20
[C] $55
76
[D] $40
Topic 4 - Data Analysis, Statistics, and Probability
10. A music store started a Web site. They found that 50% of the visitors to the Web site are
teenagers. The graph shows the number of visitors to the Web site for five weeks.
Web Site Visitors
1,000
900
800
700
600
500
400
300
200
100
0
1
2
3
4
Week
5
6
If the trend in the graph continues, about how many teenagers would visit the Web site in
week 6?
[A] 225
[B] 324
[C] 61
[D] 275
Obj. 142 - Use information from a table or a chart to solve a problem
11. A school raised money from ticket sales to a school talent show. The table shows how many
tickets were sold.
Tickets Sold for the Talent Show
Kind of Ticket
Number Sold Cost for a Ticket
Profit per Ticket
Adult
42
$7.50
$1.50
Child
47
$5.00
$0.50
Senior Citizen
37
$4.25
$1.00
Total
126
How much profit was made from the sale of child tickets and adult tickets?
[A] $44.50
[B] $550.00
[C] $96.50
77
[D] $86.50
Topic 4 - Data Analysis, Statistics, and Probability
12. A group of students held a car wash to raise money for new baseball uniforms. The table
shows the number of presale tickets and the number of drive-up sales the day of the car
wash.
Money Raised from the Car Wash
Kind of Vehicle Presale Tickets Drive-up Sales Cost per Vehicle
Car
16
43
$4.50
Truck
11
33
$9.00
Vans
13
35
$6.00
From the money raised, the students had to pay $57.00 for the costs of holding the car wash.
How much did the students have left after paying for the costs?
[A] $902.50
[B] $643.50
[C] $892.50
[D] $1,006.50
Obj. 143 - Answer a question using information from a Venn diagram
13. At a middle school, two of the choices for team sports are track and basketball. Students
may choose more than one sport. The Venn diagram shows the sports chosen by 15 students
in one class.
Team Sports
Track
Basketball
Jody
Grace
Gavin
Rey
Alan
Lily
Leah
Laila
Perry
Koji
Jada
Alex
Salma
Jessica
Clifton
How many of these students chose neither track nor basketball?
[A] 3
[B] 4
[C] 12
78
[D] 6
Topic 4 - Data Analysis, Statistics, and Probability
14. A teacher asked all the students in his class if they had brothers or sisters. The teacher made
a Venn diagram to show the results.
Students’ Siblings
Have Brothers
Have Sisters
Sara
Nita
Emi
Amy
Lee
Bita
Flor
Ian
Jacob
Gail
Ruby
Cathy
Jordan
Kyle
Oscar
Calvin
Aaron
Carly
Ravid
David
How many students have at least one brother?
[A] 16
[B] 6
[C] 11
[D] 5
Obj. 144 - Determine the mode from a graph
15. A librarian kept track of the types of books checked out by students. The results are shown
in the circle graph.
Types of Books Checked Out
by Students
Biography
Comedy
30%
18%
12%
Adventure
20%
20%
Animals
Sports
What is the mode of the types?
[A] sports
[B] comedy
[C] adventure
79
[D] biography
Topic 4 - Data Analysis, Statistics, and Probability
16. For four months, Mr. Kim counted the number of days individual students were absent from
marching band practice. He made a graph to show the results.
Students Absent
6
5
4
3
2
1
0
1
3
2
4
5
Number of Days Absent
What is the mode of the number of days students were absent?
[A] 4
[B] 3
[C] 6
[D] 1
Obj. 145 - Determine the range from a graph
17. The graph below shows the yearly rainfall in inches in Lewis County for 1999 to 2004.
Rainfall for Lewis County
40
30
20
10
1999
2000
2001
2002
2003
2004
Year
What is the range of the rainfall for the six years?
[A] 30 in.
[B] 25 in.
[C] 35 in.
80
[D] 21 in.
Topic 4 - Data Analysis, Statistics, and Probability
18. Irma was writing a report on gas prices. She found the average price of gas for six weeks.
Weekly Gas Prices
$3.50
$3.40
$3.30
$3.20
$3.10
$3.00
1
2
3
4
5
6
Week
What is the range of the average gas prices for the six weeks?
[A] $0.05
[B] $3.35
[C] $3.20
[D] $0.20
Obj. 146 - Determine the mean of a set of whole number data, whole number results
19. In March, Olivia recorded the low temperatures at her house for one week. The temperatures
are shown in the table.
Day
Temperature (° F)
Sun Mon Tues Wed Thurs Fri Sat
56
52
49
53
66
53
63
What is the mean of the temperatures?
[A] 56°F
[B] 17°F
[C] 53°F
[D] 66°F
20. Julia is saving money to buy a pair of running shoes. To get an idea of how much she should
save, she finds prices for nine different pairs. The prices are listed below.
$45, $60, $56, $66, $69, $64, $45, $59, $67
What is the mean price of the running shoes?
[A] $45
[B] $59
[C] $54
81
[D] $60
Topic 4 - Data Analysis, Statistics, and Probability
Obj. 147 - Determine the median of an odd number of data values
21. A store lowered the prices on seven different games. The new prices are $26, $28, $13, $17,
$28, $32, and $11. What is the median of these prices?
[A] $21
[B] $22
[C] $28
[D] $26
22. A basketball coach keeps track of the points his team scores in every game. The points
scored by the team in its first nine games this season were 59, 60, 54, 35, 60, 71, 53, 47, and
65. What is the median number of points the team scored in those games?
[A] 56
[B] 54
[C] 59
[D] 60
Obj. 148 - Determine the mode of a set of whole number data
23. During a fitness test, 12 students kept track of the number of push-ups they were able to do
without stopping. The numbers of push-ups the 12 students were able to do are listed below.
22, 24, 17, 27, 28, 17, 16, 20, 24, 22, 17, 21
What is the mode of these numbers?
[A] 12
[B] 17
[C] 22
[D] 21
24. Kelly needs plane tickets to go on vacation. She found 14 different fares using online
searches. The fares are listed below.
$372, $398, $387, $256, $372, $276, $372, $371, $300, $251, $388, $338, $341, $365
What is the mode of the ticket fares?
[A] $342
[B] $368
[C] $372
82
[D] $367
Topic 4 - Data Analysis, Statistics, and Probability
Obj. 149 - Determine the range of a set of whole number data
25. Gerry and some friends went to the bowling alley. After one practice game, they kept track
of their scores. Their scores for their second game are listed below.
84, 62, 50, 85, 79, 56, 50, 45, 76, 40, 89, 44, 98
What is the range of the bowling scores for the second game?
[A] 138
[B] 66
[C] 62
[D] 58
26. A smoothie shop has 11 different flavors of smoothies. One afternoon a worker kept track of
how many of each flavor were sold. The numbers of each of the flavors sold are listed
below.
4, 7, 16, 6, 16, 5, 4, 6, 14, 11, 17
What is the range of the numbers of different kinds of smoothies sold?
[A] 13
[B] 21
[C] 7
[D] 10
Obj. 150 - Determine all possible outcomes of a compound event using a list
27. Mr. Garrett is choosing a shirt and slacks to wear to a party. He has shirts in 3 styles and
slacks in 2 colors. The styles of shirts are plaid cotton, striped knit, and plain knit. The
colors of the slacks are black and navy. What are all the possible combinations of shirts and
slacks he can choose from?
[A] plaid cotton and black
plaid cotton and navy
striped knit and black
striped knit and navy
plain knit and black
plain knit and striped knit
[B] plaid cotton and black
plaid cotton and navy
striped knit and black
striped knit and navy
plain knit and black
plain knit and navy
[C] plaid cotton and black
striped knit and navy
plain knit and black
[D] plaid cotton and black
striped knit and navy
plain knit and black
plaid cotton and navy
striped knit and black
83
Topic 4 - Data Analysis, Statistics, and Probability
28. One card is drawn and the spinner is spun once. Which list shows all the possible
outcomes?
A
B
C
2
1
3
4
D
[A] A1, A2, A3, A4, B1, B2, B3, B4, C1, C2, C3, C4, D1, D2, D3, D4
[B] ABCD1, ABCD2, ABCD3, 1234
[C] A1, A2, A3, A4, B1, B2, B3, B4
[D] A1, A2, B1, B2, C1, C2, D1, D2
Obj. 151 - Determine the probability of a single event given the total number of possible
outcomes
29. A spinner is divided into 8 equal parts. What is the probability the spinner will point to G
after a spin?
R
R
B
R
G
R
[A]
1
4
B
Y
[B]
1
2
[C]
84
1
8
[D] 1
Topic 4 - Data Analysis, Statistics, and Probability
30. A bag contains 24 marbles. There are 1 blue, 4 green, 7 red, 7 yellow, and 5 black marbles.
Without looking, Kerry reaches into the bag and draws one marble. What is the probability
she draws a blue marble?
[A]
1
24
[B] 1
[C]
23
24
[D]
1
23
Obj. 152 - Make a prediction based on an experimental probability
31. A frozen pizza manufacturer randomly puts two-dollars-off coupons in its frozen pizzas. In
the last 6 pizzas Mrs. Acosta purchased, she found 2 of the two-dollars-off coupons. If
Mrs. Acosta buys 48 of these pizzas in the next year, how many two-dollars-off coupons can
she expect to find?
[A] 32
[B] 16
[C] 8
[D] 18
32. Karl plays basketball. He made 36 free throws out of the last 45 free throws he attempted. If
this continues, how many free throws should he expect to make in his next 30 attempts?
[A] 24
[B] 60
[C] 6
85
[D] 80
2911 Peach Street, Wisconsin Rapids, WI 54494
(800) 338-4204
Email: [email protected]
Web: www.renlearn.com