0 Manhattan Official Guide Problem List

Table of Contents How to use your Official Guide Problem Sets Fractions, Decimals, & Percents Algebra Word Problems Geometry Number Properties Critical Reasoning Reading Comprehension Sentence Correction

pg. 2 pgs. 3–8 pgs. 9–12 pgs. 13–18 pgs. 19–22 pgs. 23–27 pgs. 28–30 pg. 31 pgs. 32–35

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How to use your Official Guide Problem Sets You’ll be coming back to this document throughout your studies. There are three types of Official Guide (OG) problem sets: 1. Strategy Sets. These correspond to specific chapters in your Manhattan Prep Strategy Guides. 2. Quizzes. Each Guide has 1 or 2 associated quizzes, containing a mix of problems appropriate for that book. Page 11 of each Strategy Guide discusses the quizzes for that book. 3. “By Topic” problem lists. We’ve organized all of the OG problems by chapter for each of our Strategy Guides. If you ever want to do some extra problems of a certain type or content area, you can find specific problem numbers using these lists. If you are taking one of our courses (live in-person, live online, or GMAT Interact): The Strategy Sets and Quizzes will be assigned on your syllabus. Every time your syllabus gives you a Strategy Sets assignment, come to this document to look up the specific problem numbers. Use the table of contents to find the relevant pages. You do not need to look up the Quizzes here. We will assign these problems directly on your syllabus. If you are studying from our books (but not taking a course): Do the Strategy Sets at the end of each corresponding chapter. The book will tell you when you should look up a Strategy Set in this document. Use the table of contents to find the relevant pages. Each Strategy Guide has 1 or 2 quizzes (see page 11 of each Guide). If the book has just one quiz, do it when you are done with the book. If the book has two quizzes, the book will tell you after which chapter to do the first quiz; the second quiz will always be done after you have finished that book. A bit of advice for everyone: While going through the material the first time, we recommend that you stick with the Strategy Sets and Quizzes. Save the remainder of the problems for your followup study, when you will be reviewing all topics and trying mixed sets of questions (since the real test will mix topics and question types, too).

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Fractions, Decimals, and Percents OG Problem Sets This document contains multiple problem sets made up of Official Guide problems for use with your Fractions, Decimals, & Percents Strategy Guide.

Testing Cases Strategy Set It’s time to practice your Testing Cases skills on a few problems from The Official Guide for GMAT Review (2015 and 13th editions). Because recognizing when to use a strategy is a key part of using that strategy effectively, not every question on this list can be answered by Testing Cases. To get the most from this exercise, first decide whether the problem can be answered by Testing Cases. If it cannot be answered by Testing Cases, use another method to solve. To check whether we recommend Testing Cases for each problem in the set, either turn the page to read the answer key or look up the explanation in GMAT Navigator™. 1. Data Sufficiency #D25 (pg. 25) 2. Data Sufficiency #31 (pg. 277) 3. Data Sufficiency #63 (pg. 280) 4. Data Sufficiency #75 (pg. 281) 5. Data Sufficiency #157 (pg. 290)

Estimation Strategy Set Test out your Estimation skills on a few problems from The Official Guide for GMAT Review (2015 and 13th editions). All the questions in this problem set can be solved more efficiently using the methods discussed in this chapter. To get the most from this exercise, try these questions two ways. First, try them by calculating the exact answer. Then, try the problem again and look for opportunities to estimate. If you struggle with any of this, look up the solution in the GMAT Navigator™ program, search online, or ask an instructor or fellow student for help. 1. Problem Solving #6 (pg. 152) 2. Problem Solving #46 (pg. 158) 3. Problem Solving #65 (pg. 161) 4. Problem Solving #94 (pg. 165) 5. Problem Solving #125 (pg. 169) 6. Problem Solving #152 (pg. 173)

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FDP Test Cases Solutions 1. Data Sufficiency #D25 Can Test Cases 2. Data Sufficiency #31 Can Test Cases 3. Data Sufficiency #63 Can Test Cases 4. Data Sufficiency #75 Can Test Cases 5. Data Sufficiency #157 Cannot Test Cases

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FDPs Mid-Book Quiz Now that you’re halfway through the Fractions, Decimals, & Percents Guide, it’s time to test your skills with a mixed, timed problem set. There are three sets: an Easier Set, a Moderate Set, and a Harder Set. Try the Moderate Set first. If you struggle with the questions in that set and/or run out of time, try the Easier Set. If you do well, and want an extra challenge, try the Harder Set. Give yourself a fixed amount of time to complete each set; don’t check your answers or review until you’re done with the whole set. The time for each set is displayed at the top. All of the questions below are from The Official Guide for GMAT Review (2015 and 13th editions). “PS” stands for Problem Solving and “DS” stands for Data Sufficiency. Easier Set: 20 Minutes Page # 22 153 153 154 155 158 159 275 275 282

Moderate Set: 22 Minutes Question # PS D12 PS 8 PS 11 PS 21 PS 27 PS 48 PS 57 DS 8 DS 10 DS 88

Page # 154 164 165 171 172 172 176 179 184 280 283

Question # PS 20 PS 84 PS 97 PS 135 PS 142 PS 146 PS 171 PS 195 PS 226 DS 62 DS 91

Harder Set 22 Minutes Page # 161 162 168 173 175 279 286 287 288 289 291

Question # PS 66 PS 71 PS 115 PS 150 PS 163 DS 51 DS 127 DS 131 DS 148 DS 151 DS 170

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FDPs Final Quiz Use this quiz to test your skills when you are done with the main chapters of the guide. (Note: you do not have to have finished the Extras chapters in order to do this problem set.) There are three sets: an Easier Set, a Moderate Set, and a Harder Set. Do the Moderate Set first. If you struggle with the questions in that set and/or run out of time, try the Easier Set. If you do well, and want an extra challenge, try the Harder Set. Give yourself a fixed amount of time to complete each set; don’t check your answers or review until you’re done with the whole set. The time for each set is displayed at the top. All of the questions below are from The Official Guide for GMAT Review (2015 and 13th editions). “PS” stands for Problem Solving and “DS” stands for Data Sufficiency. Easier Set: 22 Minutes Page # 154 156 160 160 163 165 172 177 276 279 289

Question # PS 15 PS 31 PS 58 PS 59 PS 82 PS 98 PS 144 PS 179 DS 23 DS 46 DS 150

Moderate Set: 24 Minutes Page # 21 159 160 163 166 169 172 180 277 280 291 291

Question # PS D08 PS 56 PS 63 PS 80 PS 105 PS 123 PS 141 PS 200 DS 26 DS 61 DS 168 DS 169

Harder Set: 24 Minutes Page # 167 167 168 173 177 177 180 279 281 282 282 285

Question # PS 108 PS 113 PS 114 PS 151 PS 177 PS 181 PS 198 DS 55 DS 76 DS 80 DS 81 DS 114

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FDPs Problem Solving by Topic This set is from The Official Guide for GMAT Review, 2015 and 13th editions (pgs. 20−23 & 152−185), and The Official Guide for GMAT Quantitative Review, 2015 and 2nd editions (pgs. 62−86). To best make use of this list of problems, we recommend tracking your work in our GMAT Navigator tool. You will be able to record the time you spent on each problem, the answer you chose, whether you guessed, and whether you want to redo the problem in the future. Additionally, we have provided our own explanations of the best way to do every Problem Solving and Data Sufficiency problem from The Official Guide for GMAT Review, 2015 and 13th editions. Note: Problem Numbers preceded by “D” refer to questions in the Diagnostic Test chapter of The Official Guide for GMAT Review, 2015 and 13th editions (pgs. 20−23). FDPs 2015 / 13th Edition: 8 Quantitative Review: 27, 29, 45, 58, 93, 155 Digits & Decimals 2015 / 13th Edition: 17, 20, 65, 85, 111, 142, 146, 150, 163, 170, 212, 218, D01 Quantitative Review: 4, 6, 126, 174 Fractions 2015 / 13th Edition: 15, 27, 41, 46, 48, 80, 97, 108, 151, 194, 195, 214, 226, D08 Quantitative Review: 8, 14, 46, 48, 50, 53, 59, 60, 61, 69, 88, 118, 165, 167, 176 Percents 2015 / 13th Edition: 6, 11, 19, 21, 31, 57, 58, 71, 84, 94, 114, 115, 123, 135, 141, 144, 152, 171, 177, 181, 182, 198, D12, D21 Quantitative Review: 9, 10, 12, 26, 34, 35, 38, 43, 49, 52, 66, 73, 95, 100, 101, 114, 127, 138, 143, 159 Ratios 2015 / 13th Edition: 22, 56, 59, 63, 66, 82, 98, 105, 113, 125, 179, 188, 200 Quantitative Review: 39, 82, 105

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FDPs Data Sufficiency by Topic This set is from The Official Guide for GMAT Review, 2015 and 13th editions (pgs. 24−26 & 274−291), and The Official Guide for GMAT Quantitative Review, 2015 and 2nd editions (pgs. 152−163). To best make use of this list of problems, we recommend tracking your work in our OG Navigator tool. In OG Navigator, you can record the time you spent on each problem, the answer you chose, whether you guessed, and whether you plan to redo the problem in the future. Additionally, we have provided our own explanations of the best way to do every Problem Solving and Data Sufficiency problem from The Official Guide for GMAT Review, 2015 and 13th editions. Note: Problem Numbers preceded by “D” refer to questions in the Diagnostic Test chapter of The Official Guide for GMAT Review, 2015 Edition (pgs. 24−26). FDPs 2015 / 13th Edition: 46, 51, 88, 151, 169 Digits & Decimals 2015 / 13th Edition: 31, 63, 75, 80, 133, 148, 157, 170, D25 Quantitative Review: 30, 44, 104 Fractions 2015 / 13th Edition: 10, 131, 174 Quantitative Review: 2, 48, 97, 119 Percents 2015 / 13th Edition: 2, 8, 25, 40, 55, 61, 62, 76, 91, 127, 150, D40 Quantitative Review: 5, 17, 33, 36, 53, 93 Ratios 2015 / 13th Edition: 23, 26, 81, 114, 161, 168 Quantitative Review: 9, 67, 77

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Algebra OG Problem Sets This document contains multiple problem sets made up of Official Guide problems for use with your Algebra Strategy Guide.

Mid-Book Quiz Now that you’re halfway through the Algebra guide, it’s time to test your skills with a mixed, timed problem set. There are three sets: an Easier Set, a Moderate Set, and a Harder Set. Do the Moderate Set first. If you struggle with the questions in that set and/or run out of time, try the Easier Set. If you do well, and want an extra challenge, try the Harder Set. Give yourself a fixed amount of time to complete each set; don’t check your answers or review until you’re done with the whole set. The time for each set is displayed at the top. We also recommend that you mix the questions up so that you are jumping back and forth between Problem Solving (PS) and Data Sufficiency (DS). All of the questions below are from The Official Guide for GMAT Review (2015 and 13th Editions). Easier Set: 22 Minutes Page # 155 156 158 159 168 175 178 183 279 279 290

Moderate Set: 22 Minutes Question # PS 24 PS 29 PS 47 PS 52 PS 120 PS 164 PS 184 PS 217 DS 45 DS 48 DS 156

Page # 25 153 156 159 169 176 177 280 283 287 291

Question # DS D35 PS 9 PS 35 PS 55 PS 122 PS 167 PS 180 DS 59 DS 98 DS 136 DS 171

Harder Set 18 Minutes Page # 26 159 180 185 185 278 280 287 290

Question # DS D44 PS 51 PS 196 PS 227 PS 230 DS 41 DS 57 DS 132 DS 160

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Algebra Final Quiz Use this quiz to test your skills when you are done with the main chapters of the guide. (Note: you do not have to have finished the Extras chapters in order to do this problem set.) There are three sets: an Easier Set, a Moderate Set, and a Harder Set. Do the Moderate Set first. If you struggle with the questions in that set and/or run out of time, try the Easier Set. If you do well, and want an extra challenge, try the Harder Set. Give yourself a fixed amount of time to complete each set; don’t check your answers or review until you’re done with the whole set. The time for each set is displayed at the top. We also recommend that you mix the questions up so that you are jumping back and forth between Problem Solving (PS) and Data Sufficiency (DS). All of the questions below are from The Official Guide for GMAT Review (2015 and 13th Editions). Easier Set: 22 Minutes Page # 154 157 158 162 166 170 173 179 179 276 277

Question # PS 14 PS 37 PS 45 PS 73 PS 99 PS 131 PS 149 PS 191 PS 192 DS 24 DS 33

Moderate Set: 24 Minutes Page # 25 158 161 170 171 172 182 183 278 280 280 284

Question # DS D37 PS 50 PS 70 PS 126 PS 134 PS 143 PS 209 PS 216 DS 43 DS 65 DS 67 DS 104

Harder Set: 24 Minutes Page # 166 170 174 180 185 279 283 283 283 284 285 291

Question # PS 100 PS 129 PS 160 PS 199 PS 229 DS 47 DS 92 DS 96 DS 99 DS 101 DS 118 DS 167

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Algebra Problem Solving by Topic This set is from The Official Guide for GMAT Review, 2015 and 13th Editions (pgs. 20−23 & 152−185), and The Official Guide for GMAT Quantitative Review, 2nd Edition (pgs. 62−86). To best make use of this list of problems, we recommend tracking your work in our GMAT Navigator tool. You will be able to record the time you spent on each problem, the answer you chose, whether you guessed, and whether you want to redo the problem in the future. Additionally, we have provided our own explanations of the best way to do every Problem Solving and Data Sufficiency problem from The Official Guide for GMAT Review, 2015 and 13th Editions. Note: Problem Numbers preceded by “D” refer to questions in the Diagnostic Test chapter of The Official Guide for GMAT Review, 2015 and 13th Editions (pgs. 20−23). Linear Equations 2015 Edition: 24, 29, 42, 47, 51, 54, 55, 64, 72, 83, 93, 102, 131, 153, 167, 184, 187, 220 Quantitative Review: 2, 3, 13, 17, 19, 40, 41, 62, 75, 99, 107, 111, 115, 122, 128 Exponents & Roots 2015 Edition: 9, 35, 52, 106, 120, 122, 164, 180, 196, 217, 227, 230, D17 Quantitative Review: 36, 47, 55, 74, 96, 97, 106, 108, 147, 163, 166, 170 Quadratic Equations 2015 Edition: 37, 45, 99, 157, 169, 191, 199, 209, 216, 223, D16 Quantitative Review: 5, 20, 57, 72, 103, 121, 133 Formulas 2015 Edition: 70, 100, 126, 129, 134, 149, 156, 160, 190, D03 Quantitative Review: 1, 28, 65, 67, 77, 91, 113, 131, 158 Inequalities 2015 Edition: 14, 50, 73, 130, 138, 143, 176, 192, 229 Quantitative Review: 42, 86, 92, 120, 134, 156

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Algebra Data Sufficiency by Topic This set is from The Official Guide for GMAT Review, 2015 and 13th Editions (pgs. 24−26 & 274−291), and The Official Guide for GMAT Quantitative Review, 2015 and 2nd Editions (pgs. 152−163). To best make use of this list of problems, we recommend tracking your work in our GMAT Navigator tool. You will be able to record the time you spent on each problem, the answer you chose, whether you guessed, and whether you want to redo the problem in the future. Additionally, we have provided our own explanations of the best way to do every Problem Solving and Data Sufficiency problem from The Official Guide for GMAT Review, 2015 and 13th Editions. Note: Problem Numbers preceded by “D” refer to questions in the Diagnostic Test chapter of The Official Guide for GMAT Review, 2015 Edition (pgs. 24−26). Linear Equations 2015 Edition: 17, 36, 44, 45, 57, 59, 60, 86, 98, 132, 136, 153, 156, 171, D35 Quantitative Review: 11, 12, 15, 23, 26, 27, 29, 35, 57, 61, 80, 94, 106, 124 Exponents & Roots 2015 Edition: 1, 15, 41, 53, 160, 162, 172, D44 Quantitative Review: 18, 25, 28, 31, 54, 76, 79, 81, 109, 110, 113, 121 Quadratic Equations 2015 Edition: 67, 99 Quantitative Review: 37, 46, 62, 73, 83, 100, 105 Formulas 2015 Edition: 24, 96, 104, 118 Quantitative Review: 96, 102, 107, 111 Inequalities 2015 Edition: 33, 43, 47, 48, 50, 52, 65, 82, 85, 92, 101, 158, 167, D33, D37 Quantitative Review: 32, 40, 42, 49, 51, 52, 56, 68, 69, 89, 120

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Word Problems OG Problem Sets This document contains multiple problem sets made up of Official Guide problems for use with your Word Problems Strategy Guide.

Working Backwards Strategy Set It’s time to test out your skills on a few problems from The Official Guide for GMAT Review (2015 and 13th Editions) and one question from the Quantitative Review (2015 and 2nd Editions). Because recognizing when to use a strategy is a key part of using that strategy effectively, not every question on this list can be answered by Working Backwards. To get the most from this exercise, first decide whether the problem can be answered by Working Backwards. If not, use another method to solve. To check whether we recommend Working Backwards for each problem in the set, either turn the page to read the answer key, or look up the explanation in GMAT Navigator™. The Official Guide for GMAT Review (2015 and 13th Editions) 1. Problem Solving #1 (pg. 152) 3. Problem Solving #137 (pg. 171) 2. Problem Solving #30 (pg. 156) 4. Problem Solving #208 (pg. 181) Quantitative Review (2015 and 2nd Editions) 5. Problem Solving #25 (pg. 65)

Smart Numbers Strategy Set It’s time to test out your skills on a few problems from The Official Guide for GMAT Review (2015 and 13th Editions). Because recognizing when to use a strategy is a key part of using that strategy effectively, not every question on this list can be answered using Smart Numbers. To get the most from this exercise, first decide whether the problem can be answered using Smart Numbers. If it cannot be answered using Smart Numbers, answer the question algebraically. If it can, answer the question both algebraically and using Smart Numbers, and decide which method you prefer. To check whether we recommend using Smart Numbers for each problem in the set, either turn the page to read the answer key, or look up the explanation in GMAT Navigator™. The Official Guide for GMAT Review (2015 and 13th Editions) 1. Problem Solving #4 (pg. 152) 4. Problem Solving #88 (pg. 164) 2. Problem Solving #38 (pg. 157) 5. Problem Solving #140 (pg. 172) 3. Problem Solving #81 (pg. 163) 6. Problem Solving #205 (pg. 181) Page 13 of 35

Word Problems Working Backwards Solutions The Official Guide for GMAT Review (2015 and 13th Editions) 1. Problem Solving #1 Cannot Work Backwards. 2. Problem Solving #30 Can Work Backwards. 3. Problem Solving #137 Can Work Backwards. 4. Problem Solving #208 Can Work Backwards. Quantitative Review (2015 and 2nd Editions) 5. Problem Solving #25 Can Work Backwards.

Word Problems Smart Numbers Solutions 1. Problem Solving #4 Can Use Smart Numbers 2. Problem Solving #38 Can Use Smart Numbers 3. Problem Solving #81 (pg. 163) Can Use Smart Numbers 4. Problem Solving #88 (pg. 164) Cannot Use Smart Numbers 5. Problem Solving #140 (pg. 172) Can Use Smart Numbers 6. Problem Solving #205 (pg. 181) Cannot Use Smart Numbers

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Word Problems Mid-Book Quiz Now that you’re halfway through the Word Problems guide, it’s time to test your skills with a mixed, timed problem set. There are three sets: an Easier Set, a Moderate Set, and a Harder Set. Do the Moderate Set first. If you struggle with the questions in that set and/or run out of time, try the Easier Set. If you do well, and want an extra challenge, try the Harder Set. Give yourself a fixed amount of time to complete each set; don’t check your answers or review until you’re done with the whole set. The time for each set is displayed at the top. We also recommend that you mix the questions up so that you are jumping back and forth between Problem Solving (PS) and Data Sufficiency (DS). All of the questions below are from The Official Guide for GMAT Review (2015 and 13th Editions). Easier Set: 24 Minutes Page # 155 156 165 171 173 179 275 276 276 277 285 287

Moderate Set: 24 Minutes Question # PS 23 PS 34 PS 96 PS 139 PS 153 PS 189 DS 9 DS 12 DS 16 DS 28 DS 116 DS 137

Page # 158 164 171 181 181 184 279 280 281 283 284 286

Question # PS 49 PS 89 PS 136 PS 203 PS 207 PS 222 DS 49 DS 68 DS 78 DS 94 DS 106 DS 124

Harder Set 24 Minutes Page # 21 22 23 25 160 164 281 283 283 285 287 287

Question # PS D06 PS D14 PS D24 DS D29 PS 60 PS 85 DS 71 DS 90 DS 93 DS 115 DS 134 DS 138

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Word Problems Final Quiz Here’s the final quiz; use this when you are done with the main chapters of the guide. (Note: you do not have to have finished the Extras chapters in order to do this problem set.) There are three sets: an Easier Set, a Moderate Set, and a Harder Set. Do the Moderate Set first. If you struggle with the questions in that set and/or run out of time, try the Easier Set. If you do well, and want an extra challenge, try the Harder Set. and Give yourself a fixed amount of time to complete each set; don’t check your answers or review until you’re done with the whole set. The time for each set is displayed at the top. We also recommend that you mix the questions up so that you are jumping back and forth between Problem Solving (PS) and Data Sufficiency (DS). All of the questions below are from The Official Guide for GMAT Review (2015 and 13th Editions). Easier Set: 24 Minutes Page # 153 154 156 161 164 173 184 276 278 282 283 288

Question # PS 12 PS 16 PS 33 PS 67 PS 90 PS 154 PS 221 DS 20 DS 38 DS 87 DS 95 DS 146

Moderate Set: 24 Minutes Page # 165 167 169 184 278 280 281 282 284 285 286 289

Question # PS 91 PS 109 PS 124 PS 224 DS 37 DS 64 DS 70 DS 84 DS 110 DS 112 DS 123 DS 154

Harder Set: 22 Minutes Page # 25 167 168 174 176 178 281 284 284 287 288

Question # DS D32 PS 112 PS 119 PS 158 PS 172 PS 183 DS 77 DS 105 DS 109 DS 139 DS 143

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Word Problems Problem Solving by Topic This set is from The Official Guide for GMAT Review (2015 and 13th Editions) (pgs. 20−23 & 152−185), and The Official Guide for GMAT Quantitative Review (2015 and 2nd Editions) (pgs. 62−86). To best make use of this list of problems, we recommend tracking your work in our GMAT Navigator tool. You will be able to record the time you spent on each problem, the answer you chose, whether you guessed, and whether you want to redo the problem in the future. Additionally, we have provided our own explanations of the best way to do every Problem Solving and Data Sufficiency problem from The Official Guide for GMAT Review (2015 and 13th Editions). Note: Problem Numbers preceded by “D” refer to questions in the Diagnostic Test chapter of The Official Guide for GMAT Review (2015 and 13th Editions) (pgs. 20−23). Translations 2015 Edition: 1, 4, 60, 88, 89, 137, 140, 203, 205 Quantitative Review: 25, 51, 94, 124, 171 Rates & Work 2015 Edition: 23, 34, 38, 49, 79, 81, 86, 103, 139, 162, 168, 207, D24 Quantitative Review: 16, 23, 37, 87, 119, 130, 140, 142, 173 Overlapping Sets 2015 Edition: 25, 96, 136, 178, 186, 189, 201, 222, D04, D06, D14 Quantitative Review: 18, 64, 146 Statistics 2015 Edition: 12, 30, 53, 91, 101, 109, 112, 119, 132, 145, 183, 208, D09 Quantitative Review: 32, 63, 80, 81, 84, 104, 116, 129, 148, 161 Weighted Averages 2015 Edition: 16, 185, 224 Quantitative Review: 54, 137, 154 Consecutive Integers 2015 Edition: 67, 90, 124, 158, 172, 221, D02 Quantitative Review: 11, 56, 70 Extra Problem Types 2015 Edition: 33, 39, 76, 154 Quantitative Review: 110, 136, 168

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Word Problems Data Sufficiency by Topic This set is from The Official Guide for GMAT Review (2015 and 2nd Editions) (pgs. 24−26 & 274−291), and The Official Guide for GMAT Quantitative Review (2015 and 2nd Editions) (pgs. 152−163). To best make use of this list of problems, we recommend tracking your work in our GMAT Navigator tool. You will be able to record the time you spent on each problem, the answer you chose, whether you guessed, and whether you want to redo the problem in the future. Additionally, we have provided our own explanations of the best way to do every Problem Solving and Data Sufficiency problem from The Official Guide for GMAT Review (2015 and 13th Editions). Note: Problem Numbers preceded by “D” refer to questions in the Diagnostic Test chapter of The Official Guide for GMAT Review (2015 and 13th Editions) (pgs. 24−26). Translations 2015 Edition: 9, 28, 54, 71, 78, 107, 124, 126, 141, 142, 147, 163, D27, D30 Quantitative Review: 6, 13, 50, 84, 108 Rates & Work 2015 Edition: 12, 16, 22, 68, 90, 106, 108, 115, D38 Quantitative Review: 38, 47, 55, 71, 117 Overlapping Sets 2015 Edition: 5, 21, 29, 34, 49, 66, 93, 94, 116, 134, 137, 138, D29, D34, D47 Quantitative Review: 10, 63, 85, 116 Statistics 2015 Edition: 20, 37, 38, 84, 87, 109, 110, 120, 121, 123, 139, 143, 144, 146, 154, D31, D32, D43, D46 Quantitative Review: 1, 14, 34, 41, 74, 101, 103, 118 Weighted Averages 2015 Edition: 70, 77, 105 Quantitative Review: 75 Consecutive Integers 2015 Edition: 18, 64, 95, 112 Quantitative Review: 20, 21, 66, 86, 112 Extra Problem Types 2015 Edition: 6, 89, 103, 140, D45 Quantitative Review: 8

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Geometry OG Problem Sets This document contains multiple problem sets made up of Official Guide problems for use with your Geometry Strategy Guide.

Mid-Book Quiz Now that you’re halfway through the Geometry guide, it’s time to test your skills with a mixed, timed problem set. There are three sets: an Easier Set, a Moderate Set, and a Harder Set. Do the Moderate Set first. If you struggle with the questions in that set and/or run out of time, try the Easier Set. If you do well, and want an extra challenge, try the Harder Set. Give yourself a fixed amount of time to complete each set; don’t check your answers or review until you’re done with the whole set. The time for each set is displayed at the top. We also recommend that you mix the questions up so that you are jumping back and forth between Problem Solving (PS) and Data Sufficiency (DS). All of the questions below are from The Official Guide for GMAT Review (2015 and 13th Editions). Easier Set: 14 Minutes Page # 154 160 165 174 275 276 279

Moderate Set: 16 Minutes Question # PS 18 PS 62 PS 92 PS 159 DS 4 DS 19 DS 56

Page # 163 166 169 175 180 278 281 289

Question # PS 78 PS 104 PS 121 PS 165 PS 197 DS 42 DS 73 DS 149

Harder Set 12 Minutes Page # 22 26 175 286 286 291

Question # PS D19 DS D48 PS 166 DS 128 DS 130 DS 166

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Geometry Final Quiz Use this quiz to test your skills when you are done with the main chapters of the guide. (Note: you do not have to have finished the Extras chapters in order to do this problem set.) There are three sets: an Easier Set, a Moderate Set, and a Harder Set. Do the Moderate Set first. If you struggle with the questions in that set and/or run out of time, try the Easier Set. If you do well, and want an extra challenge, try the Harder Set. Give yourself a fixed amount of time to complete each set; don’t check your answers or review until you’re done with the whole set. The time for each set is displayed at the top. We also recommend that you mix the questions up so that you are jumping back and forth between Problem Solving (PS) and Data Sufficiency (DS). All of the questions below are from The Official Guide for GMAT Review (2015 and 13th Editions). Easier Set: 14 Minutes Page # 153 161 177 275 277 283 285

Moderate Set: 8 Minutes Question # PS 7 PS 69 PS 175 DS 11 DS 30 DS 100 DS 117

Page # 23 182 281 284

Question # PS D22 PS 211 DS 74 DS 102

Harder Set 8 Minutes Page # 20 285 286 290

Question # PS D05 DS 119 DS 122 DS 155

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Geometry Problem Solving by Topic This set is from The Official Guide for GMAT Review (2015 and 13th Editions) (pgs 20−23 & 152−185), and The Official Guide for GMAT Quantitative Review (2015 and 2nd Editions) (pgs 62−86). To best make use of this list of problems, we recommend tracking your work in our GMAT Navigator tool. You will be able to record the time you spent on each problem, the answer you chose, whether you guessed, and whether you want to redo the problem in the future. Additionally, we have provided our own explanations of the best way to do every Problem Solving and Data Sufficiency problem from The Official Guide for GMAT Review (2015 and 13th Editions). Note: Problem Numbers preceded by “D” refer to questions in the Diagnostic Test chapter of The Official Guide for GMAT Review (2015 and 13th Editions) (pgs 20−23). Lines & Angles 13th Edition: no problems Quantitative Review: 7, 30 Polygons 13th Edition: 3, 13, 18, 62, 78, 121, 147, 166 Quantitative Review: 15, 24, 89, 135, 139, 175 Triangles & Diagonals 13th Edition: 75, 92, 104, 159, 161, 165, 197, 210, D10, D19 Quantitative Review: 44, 71, 76, 150, 157 Circles & Cylinders 13th Edition: 36, 175, D5, D20, D22 Quantitative Review: 33, 141, 145, 153, 162 Coordinate Plane 13th Edition: 7, 28, 43, 61, 69, 202, 206, 211, 213 Quantitative Review: 21, 83, 85, 102, 123

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Geometry Data Sufficiency by Topic This set is from The Official Guide for GMAT Review (2015 and 2nd Editions) (pgs 24−26 & 274−291), and The Official Guide for GMAT Quantitative Review (2015 and 2nd Editions) (pgs 152−163). To best make use of this list of problems, we recommend tracking your work in our GMAT Navigator tool. You will be able to record the time you spent on each problem, the answer you chose, whether you guessed, and whether you want to redo the problem in the future. Additionally, we have provided our own explanations of the best way to do every Problem Solving and Data Sufficiency problem from The Official Guide for GMAT Review (2015 and 2nd Editions). Note: Problem Numbers preceded by “D” refer to questions in the Diagnostic Test chapter of The Official Guide for GMAT Review (2015 and 2nd Editions) (pgs 24−26). Lines & Angles 13th Edition: no problems Quantitative Review: 72 Polygons 13th Edition: 4, 42, 130, 145, 166 Quantitative Review: 4, 60 Triangles & Diagonals 13th Edition: 19, 56, 73, 79, 113, 128, 149, 152, D28, D48 Quantitative Review: 19, 43, 65, 88, 91, 114, 123 Circles & Cylinders 13th Edition: 30, 35, 100, 102, 117, 119, 122, 165, D36 Quantitative Review: 58, 59, 95, 99 Coordinate Plane 13th Edition: 11, 74, 129, 155, D39 Quantitative Review: 22

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Number Properties OG Problem Sets This document contains multiple problem sets made up of Official Guide problems for use with your Number Problems Strategy Guide.

Testing Cases Strategy Set It’s time to practice your Testing Cases skills on a few problems from The Official Guide for GMAT Review (2015 and 13th editions). Because recognizing when to use a strategy is a key part of using that strategy effectively, not every question on this list can be answered by Testing Cases. To get the most from this exercise, first decide whether the problem can be answered by Testing Cases. If it cannot be answered by Testing Cases, use another method to solve. To check whether we recommend Testing Cases for each problem in the set, either turn the page to read the answer key or look up the explanation in GMAT Navigator™. 1. Problem Solving #87 (pg. 164) 2. Problem Solving #155 (pg. 174) 3. Problem Solving #225 (pg. 184) 4. Problem Solving #D18 (pg. 22) 5. Data Sufficiency #69 (pg. 281) 6. Data Sufficiency #72 (pg. 281) 7. Data Sufficiency #173 (pg. 291)

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Number Properties Testing Cases Solutions 1. Problem Solving #87 Can Test Cases 2. Problem Solving #155 Cannot Test Cases 3. Problem Solving #225 Can Test Cases 4. Problem Solving #D18 Cannot Test Cases 5. Data Sufficiency #69 Can Test Cases 6. Data Sufficiency #72 Can Test Cases 7. Data Sufficiency #173 Can Test Cases

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Number Properties Final Quiz Use this quiz to test your skills when you are done with the main chapters of the guide. (Note: you do not have to have finished the Extras chapters in order to do this problem set.) There are three sets: an Easier Set, a Moderate Set, and a Harder Set. Do the Moderate Set first. If you struggle with the questions in that set and/or run out of time, try the Easier Set. If you do well, and want an extra challenge, try the Harder Set. Give yourself a fixed amount of time to complete each set; don’t check your answers or review until you’re done with the whole set. The time for each set is displayed at the top. We also recommend that you mix the questions up so that you are jumping back and forth between Problem Solving (PS) and Data Sufficiency (DS). All of the questions below are from The Official Guide for GMAT Review (2015 and 13th Editions). Easier Set: 22 Minutes Page # 155 156 162 167 176 275 276 276 277 284 290

Moderate Set: 24 Minutes Question # PS 26 PS 32 PS 74 PS 107 PS 173 DS 3 DS 13 DS 14 DS 27 DS 111 DS 164

Page # 25 26 26 153 167 171 181 183 183 277 278 286

Question # DS D26 DS D41 DS D42 PS 10 PS 110 PS 133 PS 204 PS 215 PS 219 DS 32 DS 39 DS 125

Harder Set 24 Minutes Page # 21 22 23 165 168 168 170 176 185 280 282 283

Question # PS D07 PS D15 PS D23 PS 95 PS 116 PS 118 PS 127 PS 174 PS 228 DS 58 DS 83 DS 97

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Number Properties Problem Solving by Topic This set is from The Official Guide for GMAT Review (2015 and 13th Editions) (pgs 20−23 & 152−185), and The Official Guide for GMAT Quantitative Review (2015 and 2nd Editions) (pgs 62−86). To best make use of this list of problems, we recommend tracking your work in our GMAT Navigator tool. You will be able to record the time you spent on each problem, the answer you chose, whether you guessed, and whether you want to redo the problem in the future. Additionally, we have provided our own explanations of the best way to do every Problem Solving and Data Sufficiency problem from The Official Guide for GMAT Review (2015 and 13th Editions). Note: Problem Numbers preceded by “D” refer to questions in the Diagnostic Test chapter of The Official Guide for GMAT Review (2015 and 13th Editions) (pgs 20−23). Divisibility & Primes 13th Edition: 2, 5, 26, 40, 74, 77, 87, 95, 110, 116, 117, 118, 127, 155, 174, 204, 219, D13, D15, D18, D23 Quantitative Review: 68, 78, 98, 109, 112, 125, 144, 149, 164, 169, 172 Odds & Evens 13th Edition: 44, 225 Quantitative Review: 31, 152 Positives & Negatives 13th Edition: 32 Quantitative Review: 117 Combinatorics 13th Edition: 128, 133, 148, 228, D11 Quantitative Review: 132, 151 Probability 13th Edition: 10, 68, 107, 173, 193, 215, D07 Quantitative Review: 79, 160

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Number Properties Data Sufficiency by Topic This set is from The Official Guide for GMAT Review (2015 and 13th Editions) (pgs 24−26 & 274−291), and The Official Guide for GMAT Quantitative Review (2015 and 2nd Editions) (pgs 152−163). To best make use of this list of problems, we recommend tracking your work in our GMAT Navigator tool. You will be able to record the time you spent on each problem, the answer you chose, whether you guessed, and whether you want to redo the problem in the future. Additionally, we have provided our own explanations of the best way to do every Problem Solving and Data Sufficiency problem from The Official Guide for GMAT Review (2015 and 13th Editions). Note: Problem Numbers preceded by “D” refer to questions in the Diagnostic Test chapter of The Official Guide for GMAT Review (2015 and 13th Editions) (pgs 24−26). Divisibility & Primes 13th Edition: 58, 83, 135, D26, D42 Quantitative Review: 3, 7, 16, 39, 45, 64, 70, 82, 87, 90, 92, 115 Odds & Evens 13th Edition: 7, 14, 27, 32, 72, 111, 173 Quantitative Review: 78 Positives & Negatives 13th Edition: 13, 69, 97, 159, 164, D41 Quantitative Review: 24, 98 Combinatorics 13th Edition: no problems Quantitative Review: no problems Probability 13th Edition: 3, 39, 125 Quantitative Review: 122

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Critical Reasoning OG Problem Sets This document contains multiple problem sets made up of Official Guide problems for use with your Critical Reasoning Strategy Guide.

Final Quiz Use this quiz to test your skills when you are done with the main chapters of the guide. There are three sets: an Easier Set, a Moderate Set, and a Harder Set. Do the Moderate Set first. If you struggle with the questions in that set and/or run out of time, try the Easier Set. If you do well, and want an extra challenge, try the Harder Set. Give yourself a fixed amount of time to complete each set; don’t check your answers or review until you’re done with the whole set. The time for each set is displayed at the top. All of the questions below are from The Official Guide for GMAT Review (2015 and 13th Editions). “CR” stands for Critical Reasoning. Easier Set: 24 Minutes Page # 506 508 508 510 510 511 511 512 512 514 515 517

Question # CR 22 CR 28 CR 29 CR 34 CR 35 CR 37 CR 38 CR 41 CR 42 CR 48 CR 49 CR 58

Moderate Set: 24 Minutes Page # 513 518 519 520 520 521 523 525 526 526 530 532

Question # CR 43 CR 62 CR 65 CR 66 CR 68 CR 70 CR 76 CR 81 CR 84 CR 86 CR 100 CR 106

Harder Set: 24 Minutes Page # 516 523 527 527 529 529 530 531 534 535 537 538

Question # CR 54 CR 77 CR 88 CR 89 CR 94 CR 95 CR 98 CR 101 CR 113 CR 116 CR 121 CR 124

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Critical Reasoning by Topic This set is from The Official Guide for GMAT Review (2015 and 13th editions) (pgs. 33−39 & 500−538), and The Official Guide for GMAT Verbal Review, (2015 and 2nd editions) (pgs. 116−151). To best make use of this list of problems, we recommend tracking your work in our GMAT Navigator tool. You will be able to record the time you spent on each problem, the answer you chose, whether you guessed, and whether you want to redo the problem in the future. Additionally, we have provided our own explanations of the best way to do many of the Critical Reasoning questions from The Official Guide for GMAT Review (2015 and 13th editions). Note: Problem Numbers preceded by “D” refer to questions in the Diagnostic Test chapter of The Official Guide for GMAT Review (2015 and 13th editions) (pgs. 33−39). Describe the Argument 2015 Edition: 8, 34, 84, 85, 123 Verbal Review: no problems Describe the Role 2015 Edition: 18, 28, 63, 76, 78, 89, 98, 116 Verbal Review: 48, 74, 79 Find the Assumption 2015 Edition: 21, 39, 41, 46, 48, 75, 77, 83, 93, 96, 106, 109, 113, D28 Verbal Review: 7, 34, 44, 52, 56, 63, 67, 76 Strengthen the Argument 2015 Edition: 1, 5, 7, 11, 12, 14, 16, 19, 23, 29, 30, 31, 33, 35, 40, 45, 50, 52, 53, 55, 56, 59, 64, 65, 67, 69, 80, 81, 95, 101, 102, 108, 111, 118, 120, 121, D25, D27, D32 Verbal Review: 1, 2, 6, 9, 13, 17, 21, 23, 25, 29, 30, 32, 33, 35, 37, 45, 51, 55, 58, 62, 65, 68, 69, 77, 78, 82 Weaken the Argument 2015 Edition: 4, 25, 32, 37, 43, 58, 62, 71, 73, 79, 82, 87, 88, 90, 97, 107, 112, 115, 117, 119, 122, D18, D20, D23, D26, D30, D34 Verbal Review: 4, 5, 11, 15, 16, 18, 20, 22, 24, 26, 27, 31, 36, 39, 41, 46, 47, 49, 50, 71, 80, 81, 83 Evaluate the Argument 2015 Edition: 10, 15, 27, 36, 42, 47, 68, 70, 72, 110, 114, 124, D21, D22, D29 Verbal Review: 3, 40, 42, 54, 66, 70

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Find the Flaw 2015 Edition: 2, 20, 51, 100 Verbal Review: no problems Inference 2015 Edition: 26, 38, 54, 60, 66, 74, 91, 103, 104, 105, D24, D31 Verbal Review: 10, 12, 14, 19, 43, 53, 57, 64, 75 Explain the Discrepancy 2015 Edition: 3, 6, 9, 13, 17, 22, 24, 44, 49, 57, 61, 86, 92, 94, 99, D19, D33 Verbal Review: 8, 59, 60, 61, 72, 73

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Reading Comprehension OG Problem Sets It’s time to test your skills on passages that have actually appeared on real GMAT exams in the past. You can find passages in The Official Guide for GMAT Review (2015 and 13th Edition) (pages 27–32 & 364–417) and The Official Guide for GMAT Verbal Review (2015 and 2nd Edition) (pages 22–58). Do one passage at a time, or build a mixed set that includes Sentence Correction and Critical Reasoning problems. Here’s how to get the most out of each passage: 1. Give yourself approximately 2 to 2.5 minutes to read shorter passages and 3 minutes to read longer ones. Spend up to 60 seconds to answer General questions and 90 seconds to answer Specific ones. 2. On the real test, you will see only one question at a time, so don’t look at all questions before reading the passage. 3. As you read the passage, tell yourself the Simple Story. By the time you’re done, make sure that you can articulate the Point and that you have a rough Map of the passage, either on paper or in your brain. 4. If the passage has more than 4 questions, answer only the oddnumbered questions. You’ll do this passage again sometime in the future; the next time, you’ll answer the even-numbered questions. (The real test does not give more than 4 questions per passage.) 5. Follow your four-step process for answering questions. (1) Identify the Question (2) Find the Support (3) Predict an Answer (4) Eliminate and Find a Match 6. To keep it simple, use these guidelines when studying from OG books: Shorter passage, 3 questions

 about 6 minutes

Shorter passage, 4 questions or Longer passage, 3 questions

 about 7 minutes

Longer passage, 4 questions

 about 8 minutes

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Sentence Correction OG Problem Sets This document contains multiple problem sets made up of Official Guide problems for use with your Sentence Correction Strategy Guide.

Mid-Book Quiz Now that you’re halfway through the Sentence Correction guide, it’s time to test your skills with a mixed, timed problem set. There are three sets: an Easier Set, a Moderate Set, and a Harder Set. Do the Moderate Set first. If you struggle with the questions in that set and/or run out of time, try the Easier Set. If you do well, and want an extra challenge, try the Harder Set. Give yourself a fixed amount of time to complete each set; don’t check your answers or review until you’re done with the whole set. The time for each set is displayed at the top. All of the questions below are from The Official Guide for GMAT Review (2015 and 13th editions). “SC” stands for Sentence Correction. Easier Set: 16 Minutes Page # 673 674 675 676 677 679 680 682 682 683 688 692

Moderate Set: 16 Minutes Question # SC 6 SC 12 SC 19 SC 25 SC 30 SC 45 SC 49 SC 58 SC 59 SC 65 SC 88 SC 110

Page # 674 675 676 677 677 678 684 686 687 691 693 696

Question # SC 14 SC 20 SC 26 SC 31 SC 35 SC 41 SC 68 SC 81 SC 83 SC 104 SC 113 SC 135

Harder Set 16 Minutes Page # 676 684 686 688 689 689 690 691 694 694 696 697

Question # SC 29 SC 70 SC 82 SC 94 SC 96 SC 97 SC 102 SC 106 SC 118 SC 123 SC 133 SC 140

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Sentence Correction Final Quiz Use this quiz to test your skills when you are done with the main chapters of the guide. (Note: you do not have to have finished the Extras chapters in order to do this problem set.) There are three sets: an Easier Set, a Moderate Set, and a Harder Set. Do the Moderate Set first. If you struggle with the questions in that set and/or run out of time, try the Easier Set. If you do well, and want an extra challenge, try the Harder Set. Give yourself a fixed amount of time to complete each set; don’t check your answers or review until you’re done with the whole set. The time for each set is displayed at the top. All of the questions below are from The Official Guide for GMAT Review (2015 and 13th editions). “SC” stands for Sentence Correction. Easier Set: 16 Minutes Page # 672 674 674 674 675 675 676 676 681 690 693 695

Question # SC 4 SC 11 SC 13 SC 15 SC 18 SC 23 SC 24 SC 27 SC 54 SC 99 SC 116 SC 125

Moderate Set: 16 Minutes Page # 677 678 679 681 681 681 681 684 688 691 692 693

Question # SC 32 SC 40 SC 46 SC 52 SC 53 SC 55 SC 56 SC 69 SC 90 SC 107 SC 111 SC 115

Harder Set: 16 Minutes Page # 685 685 686 687 688 688 690 693 695 696 697 697

Question # SC 72 SC 75 SC 79 SC 87 SC 91 SC 92 SC 100 SC 114 SC 124 SC 130 SC 136 SC 139

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Sentence Correction by Topic This set is from The Official Guide for GMAT Review (2015 and 13th editions) (pgs. 40−44 & 672−697), and The Official Guide for GMAT Verbal Review (2015 and 2nd editions) (pgs. 244−267). To best make use of this list of problems, we recommend tracking your work in our GMAT Navigator tool. You will be able to record the time you spent on each problem, the answer you chose, whether you guessed, and whether you want to redo the problem in the future. Additionally, we have provided our own explanations of the best way to do many of the Critical Reasoning questions from The Official Guide for GMAT Review (2015 and 13th editions). Note: Problem Numbers preceded by “D” refer to questions in the Diagnostic Test chapter of The Official Guide for GMAT Review (2015 and 13th editions) (pgs. 40−44). Meaning 2015 Edition: 10, 14, 20, 21, 25, 31, 39, 49, 58, 94, 96, 135 Verbal Review: 3, 18, 22, 54, 72 Subject/Verb Agreement 2015 Edition: 3, 6, 7, 16, 30, 45, 61, 67, 70, 81, 103, 129, 133, 140, D41, D43 Verbal Review: 10, 11, 14, 20, 34, 35, 65, 101 Connecting Punctuation 2015 Edition: 2, 26, 97, 118 Verbal Review: no problems Modifiers 2015 Edition: 1, 12, 19, 22, 35, 41, 47, 48, 59, 62, 65, 68, 73, 82, 83, 88, 101, 102, 104, 106, 110, 112, 113, 117, 123, 126, 132, D40, D44, D49 Verbal Review: 8, 9, 31, 33, 42, 57, 59, 69, 71, 75, 82, 83, 84, 88, 90, 92, 96, 100, 108, 109, 110, 111 Parallelism 2015 Edition: 4, 8, 13, 15, 17, 18, 27, 28, 29, 37, 38, 46, 52, 53, 55, 56, 57, 63, 66, 74, 75, 79, 80, 84, 86, 87, 92, 109, 116, 121, 127, 134, 137, 138, D36, D39, D46, D48, D50, D51 Verbal Review: 1, 2, 4, 5, 7, 15, 17, 24, 26, 27, 45, 46, 49, 52, 53, 55, 58, 60, 61, 63, 67, 77, 78, 86, 91, 94, 95, 106, 112 Comparisons 2015 Edition: 9, 11, 24, 32, 43, 85, 98, 99, 107, 108, 124, 125, 130, 136, 139, D35, D37, D47, D52 Verbal Review: 13, 25, 32, 41, 44, 66, 85, 87, 93, 97, 102, 103 Page 34 of 35

Pronouns 2015 Edition: 93, 100, 111, 114, 115, 131, D42 Verbal Review: 16, 19, 21, 29, 36, 40, 43, 48, 50, 51, 62, 64, 68, 70, 80, 98, 105 Verbs 2015 Edition: 23, 40, 42, 54, 69, 71, 72, 77, 89, 90, 91, 128 Verbal Review: 30, 37, 38, 39, 56, 74, 76, 79, 81, 89, 99, 104 Idioms 2015 Edition: 5, 33, 34, 36, 44, 50, 51, 60, 64, 76, 78, 95, 105, 119, 120, 122, D38, D45 Verbal Review: 6, 12, 23, 28, 47, 73, 107, 113

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