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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? 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