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Page 1: 1,001 GED - download.e-bookshelf.de › download › 0010 › 0987 › ... · 2 1,001 GED Test Practice Questions For Dummies About This Book The first half of this book contains
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1,001 GED® Test Practice

Questions

by Stuart Donnelly, PhD

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1,001 GED® Test Practice Questions For Dummies®

Published by: John Wiley & Sons, Inc., 111 River Street, Hoboken, NJ 07030-5774, www.wiley.com

Copyright © 2017 by John Wiley & Sons, Inc., Hoboken, New Jersey

Published simultaneously in Canada

No part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, scanning or otherwise, except as permitted under Sections 107 or 108 of the 1976 United States Copyright Act, without the prior written permission of the Publisher. Requests to the Publisher for permission should be addressed to the Permissions Department, John Wiley & Sons, Inc., 111 River Street, Hoboken, NJ 07030, (201) 748-6011, fax (201) 748-6008, or online at http://www.wiley.com/go/permissions.

Trademarks: Wiley, For Dummies, the Dummies Man logo, Dummies.com, Making Everything Easier, and related trade dress are trademarks or registered trademarks of John Wiley & Sons, Inc., and may not be used without written permission. The GED is a registered trademark of the American Council on Education. The 2014 GED® Test Item Samplers are the intellectual property of GED Testing Service LLC. © 2014 GED Testing Service LLC. All rights reserved. GED® and GED Testing Service® are registered trademarks of the American Council on Education (ACE). They may not be reproduced without the express written permission of ACE or GED Testing Service. The GED® and GED Testing Service® brands are administered by GED Testing Service LLC under license from American Council on Education. All other trademarks are the property of their respective owners. John Wiley & Sons, Inc., is not associated with any product or vendor mentioned in this book.

LIMIT OF LIABILITY/DISCLAIMER OF WARRANTY: WHILE THE PUBLISHER AND AUTHOR HAVE USED THEIR BEST EFFORTS IN PREPARING THIS BOOK, THEY MAKE NO REPRESENTATIONS OR WARRANTIES WITH RESPECT TO THE ACCURACY OR COMPLETENESS OF THE CONTENTS OF THIS BOOK AND SPECIFICALLY DISCLAIM ANY IMPLIED WARRANTIES OF MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE. NO WARRANTY MAY BE CREATED OR EXTENDED BY SALES REPRESENTATIVES OR WRITTEN SALES MATERIALS. THE ADVICE AND STRATEGIES CONTAINED HEREIN MAY NOT BE SUITABLE FOR YOUR SITUATION.  YOU SHOULD CONSULT WITH A PROFESSIONAL WHERE APPROPRIATE. NEITHER THE PUBLISHER NOR THE AUTHOR SHALL BE LIABLE FOR DAMAGES ARISING HEREFROM.

For general information on our other products and services, please contact our Customer Care Department within the U.S. at 877-762-2974, outside the U.S. at 317-572-3993, or fax 317-572-4002. For technical support, please visit https://hub.wiley.com/community/support/dummies.

Wiley publishes in a variety of print and electronic formats and by print-on-demand. Some material included with standard print versions of this book may not be included in e-books or in print-on-demand. If this book refers to media such as a CD or DVD that is not included in the version you purchased, you may download this material at http://booksupport.wiley.com. For more information about Wiley products, visit www.wiley.com.

Library of Congress Control Number: 2017940030

ISBN 978-1-119-30098-4 (pbk); ISBN 978-1-119-30099-1 (ebk); ISBN 978-1-119-30100-4 (ebk)

Manufactured in the United States of America

10 9 8 7 6 5 4 3 2 1

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Contents at a GlanceIntroduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1

Part 1: The Questions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7CHAPTER 1: Mathematical Reasoning . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9CHAPTER 2: Social Studies . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51CHAPTER 3: Science . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 111CHAPTER 4: Reasoning Through Language Arts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 159

Part 2: The Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 231CHAPTER 5: The Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 233

Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 441

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Table of Contents v

Table of ContentsINTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1

What You’ll Find . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1About This Book . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2

Social Studies . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2Science . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2Mathematics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2Reasoning Through Language Arts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3

Foolish Assumptions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3Beyond the Book . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4Where to Go for Additional Help . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5

PART 1: THE QUESTIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7

CHAPTER 1: Mathematical Reasoning . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9The Problems You’ll Work On . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9What to Watch Out For . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9

CHAPTER 2: Social Studies . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51The Problems You’ll Work On . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51What to Watch Out For . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51

CHAPTER 3: Science . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 111The Problems You’ll Work On . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 111What to Watch Out For . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 111

CHAPTER 4: Reasoning Through Language Arts . . . . . . . . . . . . . . . . . . . . . . . . . . . . 159The Problems You’ll Work On . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 159What to Watch Out For . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 160Multiple-Choice and Fill-in-the-Blank Questions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 160Essays . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 226

PART 2: THE ANSWERS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 231

CHAPTER 5: The Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 233Chapter 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 233Chapter 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 313Chapter 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 351Chapter 4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 392

INDEX . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 441

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Introduction 1

Introduction

W elcome to 1,001 GED Practice Questions For Dummies. Don’t take the book title personally. In fact, I would like to congratulate you on making two very smart decisions. First,

you’ve decided to pursue your high-school equivalency, which is one of the smartest decisions you’ll ever make. Second, by purchasing this book, you’ve decided to put in the time and dedica-tion to practice answering the types of questions that will appear on the GED exam, which will maximize your chances of achieving your goal.

Getting your GED will show that you have the skills and knowledge necessary to handle the rig-ors of college or professional employment. Many students who have successfully moved on to college, graduate school, or career-level employment consider passing the GED exam the first step in a life-changing process that placed them on the road to success. With that in mind, don’t waste any time. Get practicing already!

What You’ll FindOne of the best ways to maximize your exam performance is to continually expose yourself to questions that mimic the ones you’ll encounter on the GED. The practice problems in this book are divided into four chapters that correspond to the four sections on the test: Reasoning Through Language Arts, Mathematical Reasoning, Social Studies, and Science. I’ve constructed the questions to closely resemble the actual test in both format and level of difficulty so you know exactly what to expect on the big day.

If you miss a question or guess an answer, be sure to examine the answer explanations for tips on how to improve your approach next time. It’s even worth checking out the explanations for those questions you answer correctly. Often, I reveal not only how to answer the problem but also how to answer it most efficiently, which can make all the difference on test day. Be proactive. This book contains hundreds of questions, so after you’ve taken a bunch of tests and evaluated your performance, review the questions you missed and form your own explanations for why the credited answer is better than yours. Then check my explanations for confirmation. Apply your discoveries to more practice problems. You can benefit from this book all by itself, but it’s even better when you pair it with the in-depth reviews and strategies available in latest edition of The GED For Dummies (Wiley). Either way, this book helps you solidify your approach and confidence in all subject areas. So keep calm, carry on, and score big on the GED!

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2 1,001 GED Test Practice Questions For Dummies

About This BookThe first half of this book contains the practice questions for the four sections of the GED exam: Reasoning Through Language Arts, Mathematical Reasoning, Social Studies, and Science. You find the answers and explanations in the second half of the book.

The four sections of the GED exam are detailed for you in the following sections.

Social StudiesThe social studies section lasts 70 minutes and is made up of 50 questions from the following content areas:

» History (U.S. or Canada, 25%; World, 15%)

» Geography (15%)

» Civics and government (25%)

» Economics (20%)

ScienceThe science section lasts 90 minutes and contains 50 questions from the following content areas:

» Physical science (physics and chemistry, 35%)

» Life science (45%)

» Earth and space science (20%)

MathematicsThe mathematics section lasts 115 minutes and contains 50 questions divided into two parts, and it focuses on the following content areas:

» Number operations and number sense (20–30%)

» Measurement and geometry (20–30%)

» Data analysis, statistics, and probability (20–30%)

» Algebra, functions, and patterns (20–30%)

Note that you are not allowed to use a calculator on the first five questions of the GED’s mathematics section. Calculators are permitted for the remaining questions.

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Introduction 3

Reasoning Through Language ArtsThe language arts section lasts 150 minutes and is split into two parts: reading and writing.

The reading section consists of 40 questions and contains passages from the following content areas:

» Fictional literature (75%)

» Nonfiction (25%)

The writing section is divided into two parts. The scores are combined and reported as a single score.

The first part contains 50 questions from the following content areas:

» Organization (15%)

» Sentence structure (30%)

» Usage (30%)

» Mechanics (25%)

The second part consists of writing an essay about a familiar subject. You have 45 minutes to plan, write, and revise your essay. The essay topic will require you to present your opinion or explain your views about the assigned topic. Two trained readers will score your essay based on the following criteria:

» Focused main points

» Clear organization

» Specific development of ideas

» Sentence structure control, punctuation, grammar, word choice, and spelling

Each reader will score your essay on a four-point scale, and the scores will be averaged to find your final score. If you earn a final score of less than 2 on the essay, you must retake language arts, writing.

Foolish AssumptionsIn writing this book, I assumed several things about you, the reader, including the following:

» You’ve already made getting your GED a priority in your life because you want to advance in the workplace or move on to college.

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4 1,001 GED Test Practice Questions For Dummies

» You’ve already studied the subject matter in depth for each of the four sections of the GED (Reasoning Through Language Arts, Mathematical Reasoning, Social Sciences, and Science) and feel relatively confident with the content of each section.

» You want access to the best GED practice questions available to help sharpen your test-taking skills.

» You have sufficient English language skills to handle the test (Note: The GED is also available in Spanish).

» You’ve already checked that the state you live in currently offers the GED as a high-school equiva-lency test.

» You’ve already checked to make sure that you meet your state’s requirements regarding age, res-idency, and the length of time since leaving school that make you eligible to take the GED exam. (Double-check with your local GED test administrator to find out your state’s requirements.)

Beyond the BookYour purchase of this book gives you so much more than a thousand (and one) problems to work on to improve your GED performance. It also comes with a free, one-year subscription to hun-dreds of practice questions online. Not only can you access this digital content anytime you want, on whichever device is available to you, but you can also track your progress and view personal-ized reports that show you which concepts you need to study the most.

The online practice that comes with this book offers you the same questions and answers that are available here. Of course, the real beauty of the online problems is your ability to customize your practice. In other words, you get to choose the types of problems and the number of problems you want to tackle. The online program tracks how many questions you answer correctly versus incorrectly so you get an immediate sense of which topics need more of your attention.

To gain access to practice online, all you have to do is register. Just follow these simple steps:

1. Find your PIN access code:

Print-book users: If you purchased a print copy of this book, turn to the inside front cover of the book to find your access code.

E-book users: If you purchased this book as an e-book, you can get your access code by register-ing your e-book at www.dummies.com/go/getaccess. Go to this website, find your book and click it, and answer the security questions to verify your purchase. You’ll receive an email with your access code.

2. Go to Dummies.com and click Activate Now.

3. Find your product (1,001 GED Practice Questions For Dummies) and then follow the on-screen prompts to activate your PIN.

Now you’re ready to go! You can come back to the program as often as you want — simply log in with the username and password you created during your initial login. No need to enter the access code a second time.

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Introduction 5

This product also comes with an online Cheat Sheet that helps you increase your odds of per-forming well on the GED. To get the Cheat Sheet, go to www.dummies.com and type “1,001 GED Practice Questions For Dummies cheat sheet” in the search box. (No access code required. You can benefit from this info before you even register.)

For Technical Support, please visit http://wiley.custhelp.com or call Wiley at 1-800-762- 2974 (U.S.) or +1-317-572-3994 (international).

Where to Go for Additional HelpThe solutions to the practice problems in this book are meant to walk you through how to get the right answers; they’re not meant to teach the material. If certain concepts are unfamiliar to you, you can find help at www.dummies.com. Just type “GED” into the search box to turn up a wealth of GED-related information.

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1The Questions

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IN THIS PART . . .

Practice math questions: number operations, geometry, data analysis, and algebra.

Answer questions on history, geography, government, and economics.

Analyze scientific data to answer questions covering biology, chemistry, and physics.

Tackle reading comprehension questions.

Test your knowledge of sentence structure, organization, usage, and mechanics.

Answer essay questions.

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CHAPTER 1 Mathematical Reasoning 9

Chapter 1Mathematical Reasoning

T he GED’s mathematics section lasts 115 minutes and contains 50 questions divided into two parts: a calculator-allowed part and a no-calculator-allowed part. The no-calculator-

allowed questions tend to be less math-heavy and more concept-based, whereas the calculator-allowed questions tend to more challenging and require more calculations. In this chapter, you get 285 questions to practice your math skills.

The Problems You’ll Work OnThe mathematics section focuses on the following content areas for both the calculator and no-calculator parts:

» Number operations and number sense

» Measurement and geometry

» Data analysis, statistics, and probability

» Algebra, functions, and patterns

What to Watch Out ForTo increase your accuracy and improve time management, avoid these snags:

» Making mistakes in simple math, such as improperly subtracting negative numbers

» Spending more than a couple of minutes on any one problem instead of marking time-consuming questions and returning to them later

» Failing to review key formulas and concepts from all math areas

» Engaging in complex calculations when you can instead apply time-saving strategies such as trying answer choices and plugging in values for variables

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10 PART 1 The Questions

1. If f xx 2 3, what is the value of f x when x is –5?

(A) –13

(B) –7

(C) 7

(D) 11

2. What is the correct way of writing “x is less than 5 but greater than or equal to –3”?

(A) x 5 3

(B) 5 3x

(C) 3 5x

(D) 3 5x

3. If x x2 3 10, which of the following is a possible value of x?

(A) –2

(B) 5

(C) 7

(D) –5

4. Jim rented a lawnmower from 9:00 a.m. until 5:30 p.m. He paid a total of $53.04. What was the hourly rental fee? (Note: You may not use a calculator for this problem.)

(A) $5.58

(B) $6.24

(C) $6.63

(D) $7.07

5. What is the value of 6 3 2x y when x 12 and y 5?

(A) –153

(B) 297

(C) –3

(D) 147

6. Alex earns a weekly base salary of $650 as a car salesman. He also earns a 9% com-mission on his monthly sales after the first $10,000. What was his total salary this month if he sold 7 cars whose aver-age price was $4,500 each?

(A) $1,935

(B) $2,585

(C) $2,835

(D) $3,485

7. Simplify the expression completely.

20 10

(A) 5 2

(B) 200

(C) 2 10

(D) 10 2

8. A human hair has an average diameter of 2 5 10 5. meters. What is the maximum number of human hairs that could fit side by side (without overlapping) on a micro-scope slide that is 50 millimeters wide? Write your answer in scientific notation.

(A) 2 0 103.

(B) 2 0 105.

(C) 2 106

(D) 10 3

9. Bob is planning a birthday party for his son and has a maximum budget of $475 to spend. He intends to rent a party room that costs $125 for the day. He expects a total of 35 people to attend the party and plans to provide them all with lunch. Which of the following inequalities shows how to calculate the amount x that Bob can spend on lunch for each person?

(A) 125 35 475x

(B) 125 35 475x

(C) 125 35 475x

(D) 125 35 475x

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CHAPTER 1 Mathematical Reasoning 11

10. Four years ago, Jenny’s annual salary was $22,625. This year, her salary was $32,433. What will her new salary be in 5 years if it continues to rise at the same linear rate?

(A) $34,885

(B) $42,241

(C) $44,693

(D) $55,058

11. Mr. White’s math class has n students. Mrs. Black’s math class has 22 students fewer than triple the number of students in Mr. White’s class. Which expression shows the number of students in Mrs. Black’s class in terms of n?

(A) 22 3n

(B) 3 22n

(C) 22 3n

(D) 3 22n

Questions 12 through 14 are based on the following information.

Denise measures the height of a sunflower every other week over a three-month period and records the results in the following table.

Weeks Height (in cm)

1 3.00

3 4.70

5 6.40

7 8.10

9 9.80

11 11.50

13 13.20

12. Denise plots the data on a coordinate grid. She begins by plotting the data for Week 3 and Week 11.

What are the coordinates of the two points that Denise plots?

(A) (11,3) and (11.5, 4.7)

(B) (3, 11) and (4.7, 11.5)

(C) (3, 4.7) and (11, 11.5)

(D) (4.7, 3) and (11.5, 11)

13. Denise creates an equation that will allow her to predict the height of the sunflower in the future, where x is the week and y is the height. Which of the following gives the correct equation?

(A) y x0 85 2 15. .

(B) y x1 7 2 15. .

(C) y x0 85 1 3. .

(D) y x1 7 1 3. .

14. If the sunflower continues to grow at the same rate, at what week will it reach a height of 16.6 cm?

(A) Week 15

(B) Week 17

(C) Week 19

(D) Week 21

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12 PART 1 The Questions

15. A doctor measured the blood sugar levels of one of her patients shortly after giving the patient a candy bar to eat. The graph below shows the patient’s blood sugar level (y) x hours after she ate the candy bar.

How long after eating the candy bar was the patient’s blood sugar level the highest?

(A) 20 minutes

(B) 30 minutes

(C) 40 minutes

(D) 1 hour

16. A candy store sells soda in cone-shaped cups with the dimensions shown here:

What volume of soda can each cup hold? Give your answer to the nearest tenth of a cubic inch. The formula for the volume

V of a cone with radius r and height h is

V r h13

2 .

(A) 11.8

(B) 11.9

(C) 47.5

(D) 142.5

17. Anne plans to spend no more than $60 ordering socks for school. The online sock company charges a shipping fee of $15 for any order. The inequality 15 5 60x represents the number of pairs of socks Anne can order from the company. What is the maximum number of pairs of socks that Anne can buy?

__________

Questions 18 and 19 are based on the following information.

Ten students took a math quiz that consisted of 10 questions. The median score was 5.5. The modal score was 6. The teacher recorded the results of the first nine students in the following line plot.

18. What was the average score of the first nine students whose scores were repre-sented on the line plot? Give your answer to one decimal place.

(A) 4.9

(B) 5.4

(C) 5.5

(D) 5.7

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CHAPTER 1 Mathematical Reasoning 13

19. What score did the tenth student get in the quiz?

(A) 4

(B) 5

(C) 6

(D) 7

Questions 20 through 22 are based on the following information.

The probability that it will snow during the next three days is given in the following table.

Day Monday Tuesday Wednesday

Probability of snow

70% 20% 40%

20. What is the probability that it will not snow on Tuesday?

(A) 20%

(B) 40%

(C) 60%

(D) 80%

21. What is the probability that it will snow on all three days?

__________

22. What is the probability that it will snow on two out of three days? Round your answer to the nearest whole number.

(A) 33%

(B) 43%

(C) 90%

(D) 130%

23. Using the information in the following chart, estimate to the nearest thousand the total number of tickets sold at the concert hall. (Note: You may not use a calculator.)

Concert Tickets Sold

The Ghastly Girls 4,721

Two Directions 5,301

Taylor Speedy 8,783

Maroon 6 270

The Subdominants 11,802

(A) 27,000

(B) 29,000

(C) 31,000

(D) 31,877

24. Egypt’s Great Pyramid is 150 m tall and has a square base with a length of 225 m. What is the approximate volume of the pyramid in cubic meters? The formula for the volume V of a pyramid of base area B

and height h is given by V Bh13

.

(A) 500,000

(B) 1,500,000

(C) 2,500,000

(D) 7,500,000

Questions 25 through 27 are based on the following set.

Set A: 41 51 61 71 81 91 101, , , , , ,

25. What is the range of Set A?

(A) 41

(B) 60

(C) 71

(D) 142

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14 PART 1 The Questions

26. What is the median of Set A?

(A) 41

(B) 60

(C) 71

(D) 142

27. What is the arithmetic mean (average) of Set A?

(A) 41

(B) 60

(C) 71

(D) 142

28. Four hundred eighty yards is what frac-tion of a mile? (1 mile = 1,760 yards)

(A) 27100

(B) 3 23

(C) 25

(D) 311

29. Tim measures the lengths of four cats’ tails and records his results in the follow-ing table.

Cat Tail Length (Inches)

Mrs. Whiskers 7 34

Bootsie 7 38

Mr. Bigglesworth 7 1116

Catty McCatface 7 2532

Which cat has the longest tail? (Note: You may not use a calculator.)

(A) Mrs. Whiskers

(B) Bootsie

(C) Mr. Bigglesworth

(D) Catty McCatface

30. The U.S. Senate has 100 senators. In 2015, only 20 senators were female. What is the ratio of female senators to male senators? (Note: You may not use a calculator.)

(A) 1:5

(B) 1:4

(C) 4:5

(D) 4:1

31. Alex test drives four cars and records the distance traveled and the gallons of gas used in each case in the following table.

CarDistance Driven (Miles)

Gas Used (Gallons)

A 102.3 11.5

B 78.1 7.9

C 57.8 6.2

D 142.9 15.9

Which car has the best gas mileage (miles per gallon)?

(A) Car A

(B) Car B

(C) Car C

(D) Car D

Questions 32 and 33 are based on the following information.

A fair die has six sides, each marked with a different integer from 1 to 6. Each side is equally likely to land face up when the die is rolled.

32. Suppose you roll the die 66 times. How many times are you likely to roll a 6?

(A) 6

(B) 11

(C) 55

(D) 66

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CHAPTER 1 Mathematical Reasoning 15

33. Suppose you roll the die three times. What is the probability of not rolling any 1s during the three rolls? Express your answer as a fraction reduced to its lowest terms.

__________

34. Monthly sales of a particular brand of smartphone are inversely proportional to the number of occurrences of exploding cellphone batteries during that month. If 88 million phones were sold when there were 2 exploding batteries, how many cell phones would be sold during a month in which 22 batteries exploded?

(A) 4 million

(B) 8 million

(C) 44 million

(D) 176 million

35. The scale on a blueprint for a boat is 2 cm = 5 meters. If the length of the boat on the blueprint measures 7.5 cm, how long is the actual boat?

(A) 12.50 m

(B) 15.25 m

(C) 18.75 m

(D) 20.25 m

36. A New York City taxi charges an initial fee of $2.50 plus $0.50 for every 1

5 of a mile

traveled. If Jim’s total fare (not including tip) equals $14.50, how many miles did Jim travel?

(A) 4.8 miles

(B) 5.8 miles

(C) 24 miles

(D) 29 miles

37. Arnold invested $700 in a savings account. After one year, his account bal-ance was $726.25. What percent annual interest did his bank pay?

__________

Questions 38 and 39 are based on the following information.

At Becky’s Burger Shack, cooks earn an average of $950 per week, whereas waiters earn an average of $725 per week. Let x and y equal the number of cooks and waiters, respectively, employed by the restaurant.

38. Which of the following functions repre-sents the total payroll (P) that Becky’s restaurant pays for all of these types of workers?

(A) P y x950 725

(B) P x y950 725

(C) P x y950 725

(D) P x y 950 725

39. Becky employs 5 cooks and can spend no more than $9,825 per week on the payroll for all her cooks and waiters. What is the maximum number of waiters that she can employ?

(A) 3

(B) 5

(C) 7

(D) 9

40. If 27

31x , what does 47x equal?

(A) 15.5

(B) 62

(C) 108.5

(D) 217

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16 PART 1 The Questions

Questions 41 and 42 are based on the following information.

A moving company rents small or large vans for a fixed fee of $80 and $125, respectively, plus $3.75 per mile driven. The company also offers professional movers at a rate of $18 per mover per hour.

41. Sid rents a large van with 3 professional movers for 5 hours and drives a total of 42 miles. How much will the company charge him (not including tips or taxes)?

__________

42. Jenny’s moving bill was $450 before taxes and tips. If taxes are 6% and she also wants to tip her three professional movers $20 each, what does her total bill equal?

(A) $497

(B) 498.20

(C) $537

(D) $540.60

Questions 43 through 45 are based on the following graph.

43. What are the coordinates of point A?

(A) (4, 1)

(B) (1, 4)

(C) (–5, –4)

(D) (–4, –5)

44. What is the slope of the line?

(A) 43

(B) 34

(C) 34

(D) 23

45. What is the equation of the line?

(A) y x43

2

(B) y x34

2

(C) y x2 34

(D) y x2 43

46. A car dealership offers 45% off all its cars during its annual sale. Jessica pays $7,150 for her discounted vehicle. What was the original price of the car? Round your answer to the nearest dollar.

(A) $3,933

(B) $10,368

(C) $13,000

(D) $15,889

47. On a sunny day, a tree casts a shadow that is 33 feet long. At the same time, a nearby 4-foot-tall mailbox casts a shadow that is 5.5 feet long. What is the height of the tree? Round your answer to the nearest foot.

(A) 24 feet

(B) 33 feet

(C) 38 feet

(D) 45 feet

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CHAPTER 1 Mathematical Reasoning 17

48. The hypotenuse of a right triangle is 17 inches. If one of the legs of the triangle is 8 inches long, what is the length of the other leg?

(A) 8 inches

(B) 12 inches

(C) 15 inches

(D) 19 inches

Questions 49 through 51 are based on the following graph.

49. What is the value of A minus E?

(A) –13

(B) –11

(C) –7

(D) 7

50. What is the product of A times C times D times E?

(A) –126

(B) 0

(C) 63

(D) 126

51. Which of the following is true?

(A) A C

(B) D E

(C) E A

(D) A E B

52. If x x2 5 24, which of the following is a possible value of x?

(A) –8

(B) 3

(C) 8

(D) 24

53. x y2 is equivalent to which of the

following?

(A) x y2 2

(B) x y2 2

(C) x y xy2 2 2

(D) 2 2x y

54. A cube has a surface area of 216 square inches. What is its volume in cubic inches?

(A) 6

(B) 36

(C) 108

(D) 216

55. 162 is equivalent to which of the following?

(A) 3 2

(B) 9 2

(C) 54 3

(D) 2 81

56. 129 is between which numbers?

(A) 10 and 11

(B) 11 and 12

(C) 14 and 15

(D) 64 and 65

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18 PART 1 The Questions

Questions 57 through 59 are based on the following information.

Steven bought a bag of nuts containing 15 almonds, 3 peanuts, 12 cashews, and 10 pistachios.

57. What fraction of the nuts were cashews? Reduce your answer to its lowest terms.

(A) 1240

(B) 340

(C) 310

(D) 520

58. Steven takes 2 nuts out of the bag without looking at them or replacing them. What is the probability that both of the nuts are peanuts? Reduce your answer to its lowest terms.

(A) 120

(B) 340

(C) 579

(D) 1260

59. If the bag of nuts cost Steven $5.20, what was the average cost per nut?

(A) $0.08

(B) $0.11

(C) $0.13

(D) $0.17

60. Solve the following equation for x: 19 2 1x

__________

Questions 61 and 62 are based on a line whose equation is given by the following:

y x4 13

61. Point A lies on the line. If the y-coordinate of point A is 5, what is the value of the corresponding x-coordinate?

(A) –7

(B) –2

(C) 3

(D) 33

62. Fill in the blanks by choosing the correct values from the brackets:

The value of the slope of the line is _____ [–13, –4, 4, 13], and the value of the y-intercept is _____ [–13, –4, 4, 13].

63. A company manufactures light bulbs. If 1 out of 25 light bulbs produced by the company is found to be defective, how many defective light bulbs will there be in a batch of 3,075 light bulbs?

(A) 25

(B) 123

(C) 500

(D) 76,875

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CHAPTER 1 Mathematical Reasoning 19

Questions 64 through 66 are based on the following rectangle.

64. What is the area of the rectangle? (Give your answer to the nearest square inch.)

(A) 10

(B) 17

(C) 18

(D) 210

65. If the rectangle were enlarged by a factor of 3 (so that its sides became 3 times as long as they were previously), what would be the ratio of the new perimeter to the old perimeter?

(A) 1:3

(B) 1:9

(C) 3:1

(D) 9:1

66. If rectangle ABCD were enlarged by a fac-tor of 3 (so that its sides became 3 times as long as they were previously), what would be the ratio of the new area to the old area?

(A) 1:3

(B) 1:9

(C) 3:1

(D) 9:1

67. What is the decimal equivalent of 38

? (Note: You may not use a calculator.)

__________

68. What is the sum of 2 8 10 1 7 105 4. . ? (Note: You may not use a calculator.)

(A) 4 5 105.

(B) 4 5 109.

(C) 2 97 104.

(D) 2 97 105.

69. What is the product of 8 10 4 106 3 ? Write your answer in scientific notation. (Note: You may not use a calculator.)

(A) 3 2 10 17.

(B) 3 2 102.

(C) 32 103

(D) 3 2 104.

70. Select from the options to correctly fill in the blanks.

Two lines that never meet are called __________ lines, and their slopes are __________. Two lines that meet at right angles are called ___________ lines, and their slopes are ____________.

Options:

parallel

perpendicular

equal

negative reciprocals

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20 PART 1 The Questions

Questions 71 through 73 are based on the following information.

The average price of a gallon of gasoline increased in a linear fashion over a 4-week period as shown in the table.

Week Price ($ per Gallon)

Week 1 $3.29

Week 2 $3.38

Week 3 $3.47

Week 4 $3.56

71. What is the range of the prices in the table? (Round your answer to the nearest cent.)

__________

72. What is the average price of a gallon of gasoline during the given 4-week period? (Give your answer to the nearest cent.)

(A) $3.42

(B) $3.43

(C) $3.51

(D) $3.52

73. If the average price of a gallon of gaso-line continues to rise at the same rate, what will 3 gallons of gasoline cost during Week 8?

(A) $3.92

(B) $4.24

(C) $7.51

(D) $11.76

Questions 74 through 76 are based on the following information.

x p7, y p 3, and zp1

74. Which of the following expresses xy

2

in terms of p?

(A) p8

(B) p10

(C) p20

(D) p

75. Which of the following expresses x yz

2 4

3

0

in terms of p?

(A) 0

(B) 1

(C) p 5

(D) p

76. Which of the following expresses x y z

2 in terms of p?

(A) 1

(B) p

(C) p7

(D) p9

77. f x xx

10 2

2

What is the value of f x when x is –3?

(A) 9

(B) 10

(C) 19

(D) 199

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CHAPTER 1 Mathematical Reasoning 21

Questions 78 through 80 are based on the following diagram, which shows a pair of parallel lines crossed by a transversal line.

78. Select from the options to correctly fill in the blanks.

Angle 2 is a/an __________ angle and is __________ to angle 1. Angle 5 is a/an __________ angle and is __________ to angle 8.

Options:

acute

obtuse

reflex

complementary

supplementary

congruent

79. What is the measure of angle 1? (Note: You may not use a calculator.)

(A) 45°

(B) 125°

(C) 135°

(D) 145°

80. What is the value of x?

__________

81. A boat’s sail is in the shape of an isosceles triangle. If the largest angle of the sail is 90°, what is the measure of the smallest angle in degrees?

__________

82. The angles of a triangle are in a ratio of 5 9 14: : . What is the measure of the largest angle?

(A) 25°

(B) 45°

(C) 90°

(D) 140°

83. A recipe for cookies calls for 38

cup of

brown sugar to make 2 dozen cookies. If

Sasha has 4.5 cups of brown sugar avail-able and enough of all the other ingre-dients, how many dozen cookies can he make?

(A) 9 dozen

(B) 12 dozen

(C) 15 dozen

(D) 24 dozen

84. Simplify: 5 1 3 4x x

(A) 15 17 42x x

(B) 2 4x

(C) 8 3x

(D) 15 23 42x x

85. Which number equals 7 thousandths?

(A) 0.7

(B) 0.07

(C) 0.007

(D) 7,000

86. A newspaper charges advertisers a total of $5.50 for the first ten words and $0.70 for each additional word. What is the cost of a 27-word advert?

(A) $6.20

(B) $17.40

(C) $18.90

(D) $66.90

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22 PART 1 The Questions

Questions 87 and 88 are based on the following information.

A sports enthusiast measures the number of calo-ries used per hour per pound of weight for four different sports. He records the results in the fol-lowing table.

Sport Calories Used per Hour per Pound of Weight

Cycling 8.8

Running 12.7

Soccer 9.4

Tennis 6.1

87. What is the average number of calories used per hour per pound of weight for the four sports listed in the table? Give your answer to the nearest one hundredth of a calorie.

__________

88. Which of the following could be used to calculate how many calories a 170-pound man would use by cycling for 20 minutes?

(A) 170 8 83

.

(B) 170 8 820

.

(C) 170 208 8.

(D) 20 8 8170

.

Questions 89 through 91 are based on the following information.

A large circular pizza has an 18-inch diameter and is cut into 8 equal slices.

89. What is the innermost angle of one slice of the pizza?

__________

90. What is the perimeter of one slice of the pizza?

(A) 2 25.

(B) 2 25 9.

(C) 2 25 18.

(D) 81

91. What is the total area of two slices of the pizza?

(A) 20 25.

(B) 36

(C) 41 5.

(D) 81