ACT Math & Science Prep: Includes 500+ Practice Questions
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About this ebook
Realistic Practice. Essential Review./em>
- More than 500 math and science practice questions
- Question sets to help you determine your areas of greatest opportunity
- A guide to the 100 most important math topics for the ACT
- Review of essential math concepts, including intermediate algebra, plane geometry, and trigonometry
- Essential science review that focuses on the three main concepts of data representation, research summaries, and conflicting viewpoints passages
- Fully aligned with the actual ACT for realistic, test-like content to help you avoid surprises on Test Day
- 9 out of 10 Kaplan students get into one or more of their top choice college
- Kaplan's expert teachers make sure our tests are true to the ACT
- We invented test prep. Kaplan has been helping students achieve their goals for over 80 years. Learn more at kaptest.com.
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Book preview
ACT Math & Science Prep - Kaplan Test Prep
ACT®
Math & Science Prep
Fourth Edition
ACT® is a trademark of ACT, Inc., which neither sponsors nor endorses this product.
Table of Contents
ACT® Math & Science Prep
Cover
Title Page
Section One: Introduction to the ACT
Chapter 1: Understanding the ACT
ACT Structure
ACT Scoring
ACT Registration
Chapter 2: ACT Strategies
ACT Strategies
The Act Mind-Set
Ten Strategies for Mastering the ACT
Strategy Reference Sheet
Section Two: ACT Math
Chapter 3: Introduction to ACT Math
Test Basics
Tips for the ACT Math Test
Chapter 4: ACT Math Basics
ACT Math Basics
Pre-Algebra
Elementary Algebra
Intermediate Algebra
Plane Geometry
Coordinate Geometry
Trigonometry
Chapter 5: Pre-Algebra Practice
Pre-Algebra Practice
Pre-Algebra Practice: Answer Key
Pre-Algebra Practice: Answers and Explanations
Chapter 6: Elementary Algebra Practice
Elementary Algebra Practice
Elementary Algebra Practice: Answer Key
Elementary Algebra Practice: Answers and Explanations
Chapter 7: Intermediate Algebra Practice
Intermediate Algebra Practice
Intermediate Algebra Practice: Answer Key
Intermediate Algebra Practice: Answers and Explanations
Chapter 8: Coordinate Geometry Practice
Coordinate Geometry Practice
Coordinate Geometry Practice: Answer Key
Coordinate Geometry Practice: Answers and Explanations
Chapter 9: Plane Geometry Practice
Plane Geometry Practice
Plane Geometry Practice: Answer Key
Plane Geometry Practice: Answers and Explanations
Chapter 10: Trigonometry Practice
Trigonometry Practice
Trigonometry Practice: Answer Key
Trigonometry Practice: Answers and Explanations
Section Three: ACT Science
Chapter 11: Introduction to ACT Science
The Kaplan Method for ACT Science
Data Representation
Research Summaries
Conflicting Viewpoints
Guessing
Chapter 12: Data Representation I
Data Representation I
Basic Science Terminology
Finding Basic Information in the Passage
Determining the Relationship Between Two Variables
Practice Questions
Practice Questions: Answer Key
Practice Questions: Answers and Explanations
Chapter 13: Data Representation II
Data Representation II
Locating Data Within Complex Presentations
Comparing and Combining Data
Translating Information into a Table, Graph, or Diagram
Interpolating Points
Understanding the Relationship Between Variables in a Complex Data Presentation
Practice Questions
Practice Questions: Answer Key
Practice Questions: Answers and Explanations
Chapter 14: Data Representation III
Data Representation III
Selecting Hypotheses, Conclusions, or Predictions from the Data
Comparing and Combining Data from Complex Presentations
Identifying and Using Complex Relationships Between Variables
Extrapolating from Data
Practice Questions
Practice Questions: Answer Key
Practice Questions: Answers and Explanations
Chapter 15: Research Summaries I
Research Summaries I
Understanding the Tools in an Experiment
Understanding an Experimental Design
Identifying a Control in an Experiment
Identifying Similarities and Differences Among Experiments
Practice Questions
Practice Question: Answer Key
Practice Question: Answers and Explanations
Chapter 16: Research Summaries II
Research Summaries II
Additional Trials and Experiments
Results
New Information
Practice Questions
Practice Questions: Answer Key
Practice Questions: Answers and Explanations
Chapter 17: Research Summaries III
Research Summaries III
Understanding Complex Experiments
Understanding Hypotheses
New Information
Practice Questions
Practice Questions: Answer Key
Practice Questions: Answers and Explanations
Chapter 18: Conflicting Viewpoints I
Conflicting Viewpoints I
Understanding the Viewpoints
Supporting and Weakening Viewpoints
Identifying Similarities and Differences Between Viewpoints
Practice Questions
Practice Questions: Answer Key
Practice Questions: Answers and Explanations
Chapter 19: Conflicting Viewpoints II
Conflicting Viewpoints II
More on Strengthening and Weakening Viewpoints
Making Predictions Based on Viewpoints
Hypotheses, Conclusions, and Predictions Supported by Two Viewpoints
Practice Questions
Practice Questions: Answer Key
Practice Questions: Answers and Explanations
Chapter 20: Conflicting Viewpoints III
Complex Passages
Complex Questions
Practice Questions
Practice Questions: Answer Key
Practice Questions: Answers and Explanations
Section Four: Additional Resources
100 Key Math Concepts for the ACT
Section Five: Practice Tests
ACT Practice Test One
Math Test
Science Test
Math Test: Answer Key
Math Test: Answers and Explanations
Science Test: Answer Key
Science Test: Answers and Explanations
ACT Practice Test Two
Mathematics Test
Science Test
Mathematics Test: Answer Key
Mathematics Test: Answers and Explanations
Science Test: Answer Key
Science Test: Answers and Explanations
ACT Practice Test Three
Mathematics Test
Science Test
Mathematics Test: Answer Key
Mathematics Test: Answers and Explanations
Science Test: Answer Key
Science Test: Answers and Explanations
Copyright Information
Guide
Cover
Table of Contents
Start of Content
Section One
Introduction to the ACT
Chapter One
Understanding the ACT
Congratulations! By picking up this workbook, you’re making a commitment to yourself to learn about the ACT and how you can do your very best on the Science and Math sections of the test. The information in this chapter will tell you what you need to know about the ACT. You’ll know what to expect on Test Day, so you can walk into your test center feeling confident and prepared. Going into the ACT with that positive attitude is crucial. Familiarizing yourself with the test structure and working through practice problems are a huge part of creating the mind-set that will help you ace the ACT. Let’s get started.
ACT Structure
The ACT is divided into five tests: English, Mathematics, Reading, Science, and Writing. You can elect to take the ACT with only the first four tests, which make up the multiple-choice portion of the ACT. The fifth test, in which you produce an essay, is an optional test.
Predictability
No matter where or when you take the ACT, the order of the sections and the time allotted for each are always the same. This consistency works in your favor: The more you know about what to expect on Test Day, the more confident you’ll feel. You may know that one section of the test, let’s say, Science, usually seems more challenging for you, but at least you know that Science will always be fourth. The ACT won’t ever surprise you by making the Science section the first thing you see when you open your exam booklet. Knowing the structure of the ACT will help you feel in control of your test-taking experience.
The following table summarizes the predictable structure of the ACT:
What Is a Standardized Test?
Here’s your first ACT practice question:
One of the most important ways to succeed on a standardized test is to:
do nothing but practice problems in your spare time the week before the test.
talk to anyone who will listen about how nervous you are.
choose choice (C) for any multiple-choice question you’re unsure about.
understand what a standardized test is and why taking it doesn’t have to be a demoralizing experience.
Which answer did you choose? Although some of the choices may have made you groan or grimace if you recognized they weren’t true, we hope you spotted that option (D) is the best answer.
As you use this book and apply the Kaplan strategies to work through practice problems, you’ll come to see that the test experience need not be demoralizing at all. Right now, however, you may be apprehensive for a variety of reasons. Your own teachers didn’t write the test. You’ve heard the test maker includes trick answers. You feel weak in one of the content areas and don’t know how you can possibly improve enough to do well on that test section. Thousands of students will be taking the test. All of these things can seem very intimidating.
Let’s look carefully at that last reason. The simple fact that thousands of students from different places take the ACT is actually a good thing. It means that the test is necessarily constructed in a deliberate and predictable way. Because it’s a standardized test, the ACT must include very specific content and skills that are consistent from one test date to another. The need for standardization makes it predictable, not intimidating. It’s predictable not simply in the layout of the test sections in the booklet, but also in the topics that are tested and even in the way those topics are tested. Working the practice problems in this book will help you understand not only how each topic is tested but also how to approach the various question types.
If you feel anxious about the predominance of multiple-choice questions on the ACT, think about this fact: For multiple-choice questions, there has to be only one right answer, and it’s right there in front of you in the test booklet. A question that could be interpreted differently by students from different schools, even different parts of the country, who’ve had different teachers and different high school courses, would never make it onto the ACT. Each question on the ACT is put there to test a specific skill. Either the question or the passage it’s associated with (for English, Reading, and Science) must include information that allows all students to determine the correct answer.
There can be no ambiguity about which answer is best for a multiple-choice question on a standardized test. This workbook will teach you proven Kaplan strategies for finding that answer. The Kaplan strategies, along with your understanding about how the test is structured and written, will put you in control of your ACT Test Day experience.
ACT Scoring
Scoring for the Multiple-Choice Sections: Raw Score, Scaled Score, and Percentile Ranking
Let’s look at how your ACT composite score is calculated. For each multiple-choice section of the test (English, Mathematics, Reading, and Science), the number of questions you answer correctly is totaled. No points are deducted for wrong answers. The total correct for each section is called the raw score for that section. Thus, the highest possible raw score for a section is the total number of questions in that section.
Because each version of the ACT is different (more in the wording of the questions than in the types of questions or skills needed to answer them), a conversion from the raw score to a scaled score is necessary. For each version of the ACT that is written, the test maker generates a conversion chart that indicates what scaled score each raw score is equivalent to. The conversion from raw score to scaled score is what allows for accurate comparison of test scores even though there are slight variations in each version of the test. The scaled score ranges from a low of 1 to a high of 36 for each of the first four test sections. Scaled scores have the same meaning for all the different versions of the ACT offered on different test dates.
The score for each of the first three sections of the ACT is broken down further into subscores. The subscores for a particular section do not necessarily add up to the overall score for the section. The following table lists the subscores that are reported for each section.
What most people think of as the ACT score is the composite score. Your composite score, between 1 and 36, is the average of the four scaled scores on the English, Mathematics, Reading, and Science sections of the test.
In addition to the raw score, scaled score, and section subscores, your ACT score report also includes a percentile ranking. This is not a score that indicates what percentage of questions you answered correctly on the test. Rather, your percentile ranking provides a comparison between your performance and that of other recent ACT test takers. Your percentile ranking indicates the percentage of ACT test takers who scored the same as or lower than you. In other words, if your percentile ranking is 80, that means that you scored the same as or higher than 80 percent of the students who took the test.
A raw-to-scaled score conversion chart is necessary to take into account slight variations in the difficulty levels of different versions of the test. In other words, it’s not possible to say for every ACT test date that if you answer, for example, 55 out of 75 English questions correctly, your scaled score will always be 24. However, you should know that the variations in each test version—and therefore in the raw-to-scaled score conversion chart—are very slight and should not concern you. The following table gives some approximate raw score ranges for each section, the associated scaled score, and the likely percentile ranking.
Don’t get bogged down in the numbers in this table. We’ve put it here to help you relax. The big-picture message of the chart is that you can get a good ACT score even if you don’t answer every question correctly. In terms of how many questions you need to get right, reaching your ACT score goal is probably not as difficult as you might think.
Scoring for the Writing SECTION
The ACT essay subscores range from 2 to 12 points, with 12 being the highest. To determine the essay subscores, two trained graders read your essay and assign it a score between 1 and 6 for each of the four domains: Ideas and Analysis, Development and Support, Organization, and Language Use and Conventions.
Not all colleges and universities require the ACT Writing test for admission, so the fifth section of the ACT is optional. Not every student takes it, and therefore the Writing score has no effect on the composite score. However, if you opt to take the Writing section of the ACT, you will receive three scores in addition to your composite score. First, you will see your essay subscores, between 2 and 12. Second, you will see a Writing section score, which is the average of the four subscores. Third, you will see an ELA score, which is a weighted composite of your Reading, English, and Writing scaled scores. This score also ranges from 1 to 36. If you choose not to do the Writing section, you will not receive essay subscores, an essay scaled score, or an ELA score.
Additional scores
In addition to an ELA score, you will also receive a STEM score. This is the average of your Math and Science scaled scores and ranges from 1-36.
ACT Registration
All the information you need about ACT registration is available on the test maker’s website at
www.act.org
. There are two ways to register for the ACT: You can do so online, or you can use a registration packet and send in your forms by mail. If you need a registration packet, you should be able to get one from your school counselor, or you can request one directly via the test maker’s website.
Choosing a test day that is right for you depends on admission deadlines. Most students take the test during their junior spring and senior fall semesters, although some opt to take the ACT as early as freshman or sophomore year if they have completed most of the academic skills that are tested by the ACT. The earlier you take the test, the more opportunities you have to take the test again and increase your composite score. Check the websites of colleges to which you are applying, as well as scholarship agencies, to solidify a test date. The ACT website,
www.act.org
, provides a list of colleges with information about standardized testing policies. It takes about three to eight weeks to receive your scores, so be sure to check college admission deadlines before you choose a test date.
If you think that registering for the ACT on time is simply a matter of logistics and fees, think again. Individual testing centers have limited space. When you know that you’re interested in a particular test date at a particular location, it is worthwhile to register as soon as possible. The earlier you register, the more likely it is that you’ll be able to test at your preferred location. Many students prefer to test at their own high schools, in a familiar setting. The morning of Test Day will go much more smoothly if you don’t have to worry about directions to get to an unfamiliar location. Planning ahead for ACT registration can help you avoid such unnecessary distractions.
When you register, you should read all the information the test maker provides. Learn specifically about what to bring with you, including forms of ID, pencils, acceptable calculators, and snacks for the breaks. You should also pay attention to what behaviors are and are not acceptable during the test. The more you know ahead of time about what to expect on Test Day, the more relaxed and confident you’ll be going into the test. When you put that confidence together with the Kaplan strategies and practice you’ll get from this book, you can look forward to higher scores on your ACT.
Chapter Two
ACT Strategies
Now that you’ve got some idea of the kind of adversary you face in the ACT, it’s time to start developing strategies for dealing with this adversary. In other words, you’ve got to start developing your ACT mind-set.
The ACT, as you’ve just seen, isn’t a normal test. A normal test requires that you rely almost exclusively on your memory. On a normal test, you’d see questions like this:
The golden spike,
which joined the Union Pacific and Central Pacific Railroads, was driven in Ogden, Utah, in May 1869. Who was president of the United States at the time?
To answer this question, you have to resort to memory dredging. Either you know the answer is Ulysses S. Grant or you don’t. No matter how hard you think, you’ll never be able to answer this question if you can’t remember your history.
The ACT doesn’t test your long-term memory. The answer to every ACT question can be found in the test. Theoretically, if you read carefully and understand the words and concepts the test uses, you can get almost any ACT question right. Notice the difference between the previous regular test question and the following ACT-type question:
What is the product of n and m2, where n is an odd number and m is an even number?
An odd number
A multiple of four
A noninteger
An irrational number
A perfect square
Aside from the obvious difference (this question has answer choices, while the other one does not), there’s another difference: The ACT question mostly tests your ability to understand a situation rather than your ability to passively remember a fact. Nobody expects you to know off the top of your head what the product of an odd number and the square of an even number is. However, the ACT test makers do expect you to be able to roll up your sleeves and figure it out.
The Act Mind-Set
Most students take the ACT with the same mind-set that they use for normal tests. Their brains are on memory mode.
Students often panic and give up because they can’t seem to remember enough. You don’t need to remember a ton of picky little rules for the ACT, however. Don’t give up on an ACT question just because your memory fails.
On the ACT, if you understand what a question is really asking, you can almost always answer it. For instance, take the previous math problem. You might have been thrown by the way it was phrased. How can I solve this problem?
you may have asked yourself. It doesn’t even have numbers in it!
The key here, as in all ACT questions, is taking control. Take the question (by the throat, if necessary) and wrestle it into a form you can understand. Ask yourself: What’s really being asked here? What does it mean when they say something like the product of n and m2
?
You could start by putting it into words you might use. You might say something like this: I’ve got to take one number times another. One of the numbers is odd and the other is an even-number squared. Then I’ve got to see what kind of number I get as an answer.
Once you put the question in your own terms, it becomes much less intimidating—and much easier to get right. You’ll realize that you don’t have to do complex algebraic computations with variables. All you have to do is substitute numbers.
So do it! Try picking some easy-to-use numbers. Say that n is 3 (an odd number) and m is 2 (an even number). Then m2 would be 4, because
2 × 2
is 4. And
n × m 2
would be
3 × 4
, which is 12—a multiple of 4, but not odd, not a noninteger, not an irrational number, and not a perfect square. The only answer that can be right, then, is (B).
See what we mean about creatively figuring out the answer rather than passively remembering it? True, there are some things you had to remember here—what even and odd numbers are, how variables and exponents work, and what integers and irrational numbers are. But these are very basic concepts. Most of what you’re expected to know on the ACT is just that: basic. (By the way, you’ll find such concepts gathered together in the very attractive 100 Key Math Concepts for the ACT section at the end of this book.)
Of course, basic doesn’t always mean easy. Many ACT questions are built on basic concepts, but are tough nonetheless. The previous problem, for instance, is difficult because it requires some thought to figure out what’s being asked. This isn’t only true in Math. It’s the same for every part of the ACT.
The creative, take-control kind of thinking we call the ACT mind-set is something you want to bring to virtually every ACT question you encounter. As you’ll see, being in the ACT mind-set means reshaping the test-taking experience so that you are in the driver’s seat.
It means:
Answering questions if you want to (by guessing on the impossible questions rather than wasting time on them).
Answering questions when you want to (by skipping tough but doable
questions and coming back to them after you’ve gotten all of the easy questions done).
Answering questions how you want to (by using unofficial
ways of getting correct answers fast).
That’s really what the ACT mind-set boils down to: taking control and being creative. Solving specific problems to get points as quickly and easily as you can.
What follows are the top ten strategies you need to do just that.
Ten Strategies for Mastering the ACT
1. Triage THE QUESTIONS
In a hospital emergency room, the triage nurse is the person who evaluates each patient and decides which ones get attention first and which ones should be treated later. You should do the same thing on the ACT.
Practicing triage is one of the most important ways of controlling your test-taking experience. It’s a fact that there are some questions on the ACT that most students could never answer correctly, no matter how much time or effort they spent on them.
Example
If
sec2 x = 4, which of the following could be sin x?
1.73205
3.14159
Cannot be determined from the given information.
Clearly, even if you could manage to come up with an answer to this question, it would take some time (if you insist on doing so, refer to the explanation in the next section). But would it be worth the time? We think not.
This question clearly illustrates our point: Triage the questions on the ACT. The first time you look at a question, make a quick decision about how hard and time-consuming it looks. Then decide whether to answer it now or skip it and do it later.
If the question looks comprehensible and reasonably doable, do it right away.
If the question looks tough and time-consuming, but ultimately doable, skip it, circle the question number in your test booklet, and come back to it later.
If the question looks impossible, forget about it. Guess and move on, never to return.
This triage method will ensure that you spend the time needed to do all the easy questions before getting bogged down with a tough problem. Remember, every question on a subject test is worth the same number of points. You get no extra credit for test machismo.
Answering easier questions first has another benefit: It gives you confidence to answer harder ones later. Doing problems in the order you choose rather than in the order imposed by the test makers gives you control over the test. Most students don’t have time to do all of the problems, so you’ve got to make sure you do all of the ones you can easily score on!
Do You Know Your Trig?
Okay, because you’re reading this, it’s obvious that you want to know the answer to the trig question we just looked at. The answer is (D). Here’s how we got it:
So answer choice (D) is correct. But if you got it right, don’t congratulate yourself quite yet. How long did it take you to get it right? So long that you could have gotten the answers to two easy questions in the same amount of time?
Develop a Plan of Attack
For the English, Reading, and Science sections, the best plan of attack is to do each passage as a block. Make a longish first pass through the questions (the triage
pass), doing the easy ones, guessing on the impossible ones, and skipping any that look like they might cause trouble. Then make a second pass (the cleanup pass
), and do those questions you think you can solve with some elbow grease.
For Math, use the same two-pass strategy, but move through the whole subject test twice. Work through the doable questions first. Most of these will probably be toward the beginning, but not all. Then come back and attack the questions that look possible but tough or time-consuming.
No matter which subject test you’re working on, make sure you grid your answers in the right place. It’s easy to misgrid when you’re skipping around, so be careful. And of course: Make sure you have an answer gridded for every question by the time the subject test is over!
2. Put the Material into a Form You Can Understand
ACT questions are rarely presented in the simplest, most helpful way. In fact, your main job for many questions is to figure out what the question means so you can solve it.
Because the material is presented in such an intimidating way, one of the best strategies for taking control is to recast (reword) the material into a form you can handle better. This is what we did in the math problem about the product of n and m2.
We took the question and reworded it in a way we could understand.
Mark Up Your Test Booklet
This strategy should be employed on all four subject tests. For example, in Reading, many students find the passages overwhelming: 85 to 90 lines of dense verbiage for each one. But the secret is to put the passages into a form you can understand and use. Circle or underline the main idea, for one thing. Make yourself a road map of the passage, labeling each paragraph so you understand how it all fits together. That way, you’ll also know—later, when you’re doing the questions—where in the passage to find certain types of information you need.
Reword the Questions
You’ll also need to do some recasting of the questions. For instance, take this question from a Science passage.
Example
Figure1
According to Figure 1, at approximately what latitude would calculations using an estimated value at sea level of
g = 9.80 m/sec 2
produce the least error?
0°
20°
40°
80°
At what latitude would the calculations using a value of
g = 9.80 m/sec 2
produce the least error? Yikes! What does that mean?
Take a deep breath. Ask yourself: Where would an estimate for g of 9.80 m/sec2 produce the least error? At a latitude where 9.80 m/sec2 is the actual value of g. If you find the latitude at which the value of g is 9.80 m/sec2, then using 9.80 m/sec2 as an estimate at that latitude would produce no error at all.
In other words, this question is asking: At what latitude does
g = 9.80 m/sec 2
? Now that’s a form of the question you can understand. In that form, you can answer it easily: choice (C), which you can deduce just by reading the chart to see where the horizontal line at 9.80 and the curve intersect.
Draw Diagrams
Sometimes, putting the material into a usable form involves drawing with your pencil. For instance, take a look at the following math problem.
Example
Jason bought a painting with a 1 inch wide frame. If the dimensions of the outside of the frame are 5 inches by 7 inches, which of the following could be the length of one of the sides of the painting inside the frame?
3 inches
4 inches
At first glance, you might be tempted to simply subtract 1 from the outside dimensions and think that the inside dimensions are 4 by 6 (and pick G). This isn't correct, though, because the frame goes all the way around—both above and below the painting, both to the right and to the left. This would have been clear if you had put the problem in a form you could understand and use.
For instance, you could make the situation graphic by sketching the painting frame (who says you don’t have to be an artist to succeed at the ACT?):
When you draw the picture frame like this, you realize that if the outside dimensions are 5 by 7, the inside dimensions must be 3 by 5. Thus, the correct answer is (F).
So remember: On the ACT, put everything into a form that you can understand and use.
3. Ignore Irrelevant Issues
It’s easy to waste time on ACT questions by considering irrelevant issues. Just because an issue looks interesting, or just because you’re worried about something, doesn’t make it important.
Example
. . . China was certainly one of the cradles of civilization. It’s obvious that, China has a long history. As is the case with other ancient cultures, the early history of China is lost in mythology . . .
NO CHANGE
It’s obvious that China has a long history.
Obviously; China has a long history.
OMIT the underlined portion.
In this question, the test makers are counting on you to waste time worrying about punctuation. Does that comma belong? Can you use a semicolon here? These issues might be worrisome, but there’s a bigger issue here—namely, does the sentence belong in the passage at all? No, it doesn’t. If China has an ancient culture and was a cradle of civilization, it must have a long history, so the sentence really is obvious.
Redundancy is the relevant issue here, not punctuation. Choice (J) is correct.
Remember, you’ve got limited time, so don’t get caught up in issues that won’t get you a point.
4. Check Back
Remember, the ACT is not a test of your memory, so don’t make it one. All of the information you need is in the test itself. Don’t be afraid to refer to it. Much of the information is too complex to accurately remember anyway.
In Reading and Science, always refer to the place in the passage where the answer to a question can be found (the question stem will often contain a line reference or a reference to a specific table, graph, or experiment to help you out). Your chosen answer should match the passage—not in exact vocabulary or units of measurement, perhaps, but in meaning.
Example
Isaac Newton was born in 1642 in the hamlet of Woolsthorpe in Lincolnshire, England. But he is more famous as a man of Cambridge, where he studied and taught . . .
Which of the following does the author imply is a fact about Newton’s birth?
It occurred in Lincoln, a small hamlet in England.
It took place in a part of England known for raising sheep.
It did not occur in a large metropolitan setting.
It caused Newton to seek his education at Cambridge.
You might expect the right answer to be that Newton was born in a hamlet, or in Woolsthorpe, or in Lincolnshire, but none of those is offered as a choice. Choice A is tempting, but wrong. Newton was born in Lincolnshire, not Lincoln. Choice B is actually true, but it’s wrong here. As its name suggests, Woolsthorpe was