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    Math Workout for the GED Test
    Math Workout for the GED Test
    Math Workout for the GED Test
    Ebook718 pages3 hours

    Math Workout for the GED Test

    By The Princeton Review

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    About this ebook

    Get the extra practice you need for the excellent GED Mathematical Reasoning section score you want!

    The Math portion of the GED test is often considered the hardest part of the whole exam—and with the lowest average student scores and pass rates, this section can be tough to overcome! Fortunately, The Princeton Review has developed Math Workout for the GED Test, a brand-new workbook designed to help students master the skills and content needed to ace the Mathematical Reasoning portion of the GED test. It has the tools and help you need to feel confident about doing well on test day.

    This eBook edition has been specially formatted for on-screen viewing with cross-linked questions, answers, and explanations.

    Practice Your Way to Excellence.
    • Drills for all GED Mathematical Reasoning question types and test topics
    • Clear, step-by-step explanations for all questions
    • Extra help to hone the Mathematical Reasoning skills learned in Cracking the GED Test or other math classes

    Everything You Need to Know to Help Achieve a High Score.
    • Essential strategies to help you work smarter, not harder
    • Helpful tips to avoid tricks and traps
    • An introduction to the computer-based question formats

    Online Bonus Features for an Extra Edge.
    • A supplement on geometry and the GED test
    • A Mathematics Formula Sheet for handy reference
    • Custom printable answer sheets for all drills in the book
    LanguageEnglish
    PublisherRandom House Children's Books
    Release dateJan 12, 2016
    ISBN9781101882122
    Math Workout for the GED Test

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      Book preview

      Math Workout for the GED Test - The Princeton Review

      Part I

      Introduction

      About the GED® Mathematical Reasoning Test General Strategies

      About the GED® Mathematical Reasoning Test

      This chapter will provide you with a description of exactly what to expect on the GED® test in general and the Mathematical Reasoning test specifically. It will also explain how to use this book to maximum effect while preparing for the test.

      People take the GED® test for many reasons. Some people are homeschooled. Some people leave high school before they graduate. Some people have careers that do not enable them to attend a traditional high school. Whatever their reasoning, all of them have the desire to succeed.

      You have the desire to succeed, too. How do we know? Well, for one thing, you bought this book, which means you’ve decided to take the GED® Mathematical Reasoning test. And taking this test is one step toward making your life work the way you want it to. Passing the GED® test can be an important step in your life because it shows other people and yourself that you have the follow-through to decide on a course of action and make it happen. It can be the starting place for admission to college, a promotion, or a pay raise. So, congratulations! You’ve made an important decision.

      This book is here to help you make it happen. Whether you want to supplement your study with further practice or whether you’re simply looking to brush up on your skills, the drills in this book cover all of the Mathematical Reasoning topics you can expect to see on test day.

      WHAT IS THE GED® TEST?

      The GED® test is made up of four subject tests—Reasoning Through Language Arts, Mathematical Reasoning, Social Studies, and Science—that you can take in one day or over a series of days. It’s referred to as a high school equivalency test because it awards a credential that most colleges and employers recognize as the equivalent of a high school diploma.

      In some ways, passing the GED® test is a lot easier than finishing high school. After all, the test in its entirety takes about seven hours. It takes years—and a lot of tests—to finish high school.

      Registering for the

      GED® Test

      Call 877-EXAM-GED

      (877-392-6433) for info on

      registering and for classes

      in your area. To reach the

      individual state programs

      directly, go online to

      www.ged.com where

      you can type in your ZIP

      code to find the

      nearest testing centers

      and programs.

      How Is the GED® Test Scored?

      For each of the four subject tests, you will receive a score between 100 and 200. Because each test has a different number of available points, the GED Testing Service will standardize your raw scores (or the number of questions you answered correctly for each test) through a scoring metric to yield a score between 100 and 200.

      The minimum score needed to pass any of the four subject tests on the GED® test is 150. In order to get your completion certificate, you must achieve at least this score on each test. A higher score on one test will not make up for lower score on another. While a passing score is sufficient to obtain your certificate, a score of at least 170 entitles you to a GED® Score with Honors, a distinction that indicates college and career readiness. So, if you are planning to use your GED® test credential to further your career or apply to college, we highly recommend that you attempt to achieve the highest score possible.

      Once you receive a passing score on a particular subject test, you do not need to retake that test. If you want to retake the test to receive a higher score, you may do so. If you do not receive your desired score on a particular test, you can retake that test two more times without any waiting period, subject to scheduling availability. After the third attempt, you will have to wait 60 days to test again. This schedule allows for eight testing opportunities in a year, if you need that many to pass a section.

      Need Accommodations?

      If you require accommodations,

      simply indicate

      your intention to apply for

      them when you register

      to take the GED® test at

      www.ged.com. You’ll then

      receive an email with

      further instructions about

      what paperwork you need

      to submit. Accommodation

      decisions generally take

      about 30 days and are

      valid for one year.

      If you have

      questions, email

      accommodations@

      GEDtestingservice.com.

      WHAT’S ON THE MATHEMATICAL REASONING TEST?

      The Mathematical Reasoning portion of the GED® test covers high school math. Fortunately, it doesn’t cover all of the math topics taught in high school—you won’t see any calculus or even pre-calculus, for example. Rather, the GED® test writers focus on a few key areas: algebra, geometry, and basic and applied arithmetic. Here’s a breakdown of the topics and tested skills for each of these areas:

      Basic Arithmetic

      • The number line

      • Rounding off

      • Multiplying positive and negative numbers

      • Order of operations

      • Commutative and distributive properties

      • Fractions

      • Decimals

      • Percents

      Applied Arithmetic

      • Setup problems

      • Mean, median, mode, range, and weighted mean

      • Ratios and proportions

      • Rate problems

      • Charts and graphs

      • Exponents and square roots

      • Scientific notation

      • Probability

      • Counting

      Algebra

      • Simple equations

      • Inequalities

      • Translating words into math

      • Polynomials

      • Simultaneous equations

      • Functions

      Geometry

      • Lines and angles

      • Rectangles and squares

      • Triangles and pyramids

      • Circles, spheres, cylinders, and cones

      • Perimeter and area

      • Surface area and volume

      • Setup geometry

      • Graphing points and functions (the coordinate plane)

      • Equation of a line and slope

      The Mathematical Reasoning test is made up of 46 questions to be answered in 115 minutes and is broken up into two parts:

      • In Part I (5 questions), you will not be allowed to use a calculator. This first section will test your ability to do basic calculations, and you must submit your answers to these five questions before moving on to the rest of the test.

      • In Part II (41 questions), you will be allowed to use a calculator. In this section, you will be asked to answer questions common in many work scenarios. Many of these will be word problems. About one-half of the questions will be based on diagrams or charts.

      About 45 percent of the test focuses on quantitative problem solving, while 55 percent focuses on algebraic problem solving.

      A COMPUTER-BASED TEST

      Unlike the drills in this book, the actual GED® test is taken on a computer at a testing center. This section will introduce you to the various features you’ll need to be familiar with.

      So how is a computer-based test different from a pencil-and-paper test? To begin with, the questions will be presented one at a time. In some cases the question will be shown on a single screen. In other cases you’ll see a split screen, with a passage, chart, or other information on one side and the question on the other. To navigate to the previous or next screen, you’ll click the appropriate arrow button at the bottom-right corner. At the top, you’ll see the number of the question you’re working on, total number of questions, and time remaining for the test. Later in this chapter, we’ll show you some sample screenshots of different types of questions.

      Other features include user options such as highlighting text, changing the foreground and background colors, and adjusting the text size. For questions that require you to write, you will have access to cut, copy, and paste functions, as well as undo and redo. Where appropriate, an on-screen calculator will be provided, as well as a list of mathematical formulas. You may also bring your own calculator to the test, but it must be a Texas Instruments TI-30XS Multiview Scientific Calculator—more on this in a bit.

      Experience the

      Interface for Yourself

      Test out the user interface

      and practice using

      the computer

      functionality by visiting

      www.gedtestingser

      vice.com/educators/

      freepracticetest,

      where you will also find a

      Computer Skills Tutorial.

      The Review Screen

      Another important feature of the computer interface is the review screen, which you can use to help keep you on track. This screen indicates which questions you have answered, which you have left blank, and which you have not yet read. It also indicates which questions you have marked for later review. From the review screen you can quickly jump to any questions that have been marked or left unanswered by clicking on the question number.

      Here’s an example of what your review screen will look like:

      You can check the review screen at any time during the test. We recommend leaving a few minutes at the end of each section of each test to check the review screen to make sure you have answered every question or to look up questions that you marked for later review. For any question you need to answer or revisit, you can click on the question number to go directly to the question.

      The Erasable Note Boards

      When you take the test, you will not be given scratch paper. Rather, you’ll be provided with three erasable note boards, which are laminated pieces of thick cardboard, each the size of a sheet of legal paper (8.5 by 14)—a little bit larger than a standard piece of notebook paper. You will be given one at the beginning of your test, along with a dry-erase marker. If the marker runs out of ink or dries up, you may ask for a new one. Using a note board rather than writing directly on a test booklet takes practice. As you work on the drills in this book, get into the habit of using separate sheets of scratch paper (assuming that you don’t have an erasable note board of your own).

      We recommend that you lay out a note board strategy as outlined in the General Strategies chapter starting on this page of this book. You will have to transfer most of the information on the screen to a note board to work the problems. Having a consistent way of transferring that information in an organized fashion will help you perform better on the exam.

      It’s important to note that only three note boards are allowed at a time. While you may use the front and back, you may have to erase the work you did earlier once you’ve covered the entire surface of all three. A good rule of thumb is to always try to completely finish a problem before you move on to the next, to ensure you don’t have to restart a problem from, well, scratch.

      To Calculate or Not to Calculate?

      You might think that Part II (in which you may use a calculator) is easier than Part I (in which you may not), but there’s one hitch: You can only use a Texas Instruments TI-30XS Multiview Scientific Calculator, shown below. You can bring your own TI-30XS, or you can use the on-screen calculator that is automatically available.

      You will be provided an on-screen calculator reference sheet. However, it is vital that you become familiar with this particular model ahead of time. Why spend your valuable test time learning how to use the calculator when that time could be better spent actually solving the questions? We strongly recommend that you buy (or borrow) this specific calculator and practice with it for several weeks before the test. It is available in most office supply stores or online for about $18. You can watch video tutorials of its various functions and features at www.atomiclearning.com/ti30xs, as well as on YouTube. Search for GED and TI-30XS Demonstration Video.

      There are two major features of the Texas Instruments TI-30XS that can be pretty confusing. They are the arrow keys and the green 2nd key.

      The Calculator is

      Color Coded!

      The GREEN 2nd key

      accesses the function

      written in GREEN above

      the other calculator keys.

      The arrow keys (located at the top right) can be used to move within a function on the screen or to exit a function and return to the main expression you are calculating. You will use the arrow keys to input fractions, mixed numbers, or numbers in scientific notation.

      Pushing the 2nd key (located at the top left) before another key accesses the function that is written above the key. You will use this to input mixed numbers and to calculate roots and percentages.

      Let’s take a look at how you would input the mixed number 12 :

      Lots of steps there! You can see why we’re telling you to familiarize yourself with this calculator in advance.

      Question Formats

      In addition to traditional multiple-choice questions, you will encounter several types of questions that may be unfamiliar to you. These enhanced, computer-based question formats require you to use your mouse to perform actions other than clicking the correct bubble.

      In this section, we’ll familiarize you with the look and feel of these question formats and show you how to enter your answer for each type. We’ll also give you an example of each format as it appears in this book.

      Note: You can either answer questions by writing directly in this book, or you can use our custom answer sheets which you can download and print out when you register your book at PrincetonReview.com/cracking.

      Multiple Choice

      Multiple-choice questions typically present you with a scenario and ask a question about it. There is one possible answer out of the four choices provided. In order to indicate your answer, use your mouse to click the bubble that corresponds to your answer. Here is an example of what this type of question will look like on your computer screen:

      In this book, the multiple-choice format is pretty similar. The only difference is that, rather than clicking the bubble, you can circle the letter with your pencil.

      1. Marie drives from her home to the supermarket 10 miles away and then drives back home after shopping. If it takes her two hours for the entire trip, including one hour spent shopping in the supermarket, what was her average speed driving to and from the supermarket?

      A. 5 mph

      B. 10 mph

      C. 15 mph

      D. 20 mph

      Drag and Drop

      Drag-and-drop questions ask you to choose from several options and, using your mouse, drag each option to the correct location in the question. For some of these questions, not only must you choose the correct options, you must also make sure to place them in the order requested. Here is a sample screenshot:

      Here is an example of how drag-and-drop questions appear in this book. To answer this question, simply write your selection(s) in the box or boxes provided.

      2. If 3 x + 6 y = 30 and 2 x + 5 y = 26, choose two numbers below that are possible values of x and y .

      Hot Spot

      These questions give you a set of information and pose a question. In order to indicate your answer, use your mouse to click on one or several points in a chart or graph that represent possible answers. While this type of question may seem unusual at first, it’s really just a variation on multiple choice. When you have determined the answer, simply mouse over the area for the right answer and click. If you would like to erase a mark, click on it a second time. Make sure to read the question carefully to be sure you know the number of solutions the test is asking for. If it asks for two values and you click on only one, it could hurt your score.

      Here’s an example of how Hot Spot questions appear in this book. To indicate your answer, mark an X (or multiple X’s) with your pencil on the graphic provided.

      3. If x is a positive integer and |3 x + 2| ≤ 8, plot the highest and lowest values for x on the number line below.

      Fill in the Blank

      Fill-in-the-blank questions are among the more difficult type of questions. These questions give you a set of information and ask a question. There are no answers provided, and you have to type in your own answer using your keyboard.

      Because there are no answers to choose from, these questions are nearly impossible to guess on. Test takers must take care to enter their answer using the correct units and rounded to the correct place. When faced with this type of question, always reread the question to be sure you are following the correct directions in drafting your answer. Here’s an example:

      In this book, simply write your answer on a separate piece of scratch paper.

      4. Janelle is deciding how to arrange her files on her bookshelf. If she has 5 files, how many different arrangements of files does she have to choose from?

      Drop Down

      A drop-down question is most similar to a traditional multiple-choice question. It is often used to place an answer in the context of a sentence. Use your mouse to click the arrow to the right of the box, and several answers appear in an expanded menu. To select an answer, click on your choice.

      Because of their similarity to multiple-choice questions, drop-down questions should feel somewhat familiar. However, it is important to remember to open the box and see the options before you try the question. Doing so can greatly reduce the amount of time you spend on the question, as it reduces the number of options to consider.

      Here is how drop-down questions appear in this book. To answer this question, circle your selection with your pencil.

      5. On the number line above, point A is

      point B.

      HOW TO USE THIS BOOK TO PREPARE

      Now that you have a better idea of what to expect on test day, we’ll give you some pointers on how to use this book to help you prepare.

      The drills in this book cover the topics and tested skills that you’ll need to know for the Mathematical Reasoning test. The next chapter will provide you with general strategies to help you out on test day. Some of these strategies are specific to the computer interface; others you can immediately put into practice on the drills. Additionally, at the end of each section, you’ll find answer-explanations to guide you through each problem step by step. And at the back of the book, you’ll find a Mathematics Formula Sheet that you can tear out and refer to as you’re working. You can also download and print out this formula sheet once you register your book at PrincetonReview.com/cracking.

      Cracking the GED® Test is

      The Princeton Review’s

      comprehensive guide to

      the GED® test. It includes:

      • Complete coverage of

      all 4 test subjects

      • Guided lessons with

      sample questions

      • 2 full-length practice

      tests

      • Review drills for each

      subject

      • 350+ multiple-choice

      drills online

      What this book does not provide is in-depth instruction on the various topics covered on the test. So, if you’re unsure whether or not this book is right for you, skim through the four sections—Basic Arithmetic, Applied Arithmetic, Algebra, and Geometry—and take a look at the kinds of problems in each. If you have no idea how to solve most of these problems, we highly recommend buying Cracking the GED® Test and beginning with the Mathematical Reasoning review chapters in that book. Cracking the GED® Test offers thorough guidance on how to solve every type of question you’ll encounter on the test, as well as many helpful tips and tricks.

      If, however, you’re mostly familiar with what’s covered in these drills but are feeling a bit uncertain here and there, this book can help you clarify your study plans. Use the answers and explanations to determine your strengths and weaknesses, and keep track of how many questions you answer incorrectly. This will help you figure out where you need further review and practice.

      And of course, if you already own Cracking the GED® Test and are simply looking for extra practice, you’ve come to the right place. Math Workout for the GED® Test is a great companion to Cracking because

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