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Millions discover their favorite reads on issuu every month. Give your content the digital home it deserves. Not only does this comprehensive workbook provide a complete coverage of all Math topics you need to know to ace the ASVAB Math test, but it also includes two full-length and realistic ASVAB Math tests that reflect the format and question types on the ASVAB to help you check your exam-readiness and identify where you need more practice.

Numerous ASVAB math practice questions in both multiple-choice and grid-in formats with answers grouped by topic, so you can focus on your weak areas? Abundant Math skill-building exercises to help test-takers approach different question types that might be unfamiliar to them?

Effortless Math unique study program provides you with an in-depth focus on the math portion of the test, helping you master the math skills that students find the most troublesome. This book contains most common sample questions that are most likely to appear in the mathematics section of the ASVAB. Inside the pages of this comprehensive ASVAB Math book, students can learn basic math operations in a structured manner with a complete study program to help them understand essential math skills.

It also has many exciting features, including: Dynamic design and easy-to-follow activitiesA fun, interactive and concrete learning processTargeted, skill-building practicesFun exercises that build confidenceMath topics are grouped by category, so you can focus on the topics you struggle onAll solutions for the exercises are included, so you will always find the answers10 Complete ASVAB Math Practice Tests that reflect the format and question types on ASVAB ASVAB Mathematical Reasoning Prep is an incredibly useful tool for those who want to review all topics being covered on the ASVAB test.

It efficiently and effectively reinforces learning outcomes through engaging questions and repeated practice, helping you to quickly master basic Math skills. Published by: Effortless Math Educationwww. Prepare for the ASVAB Math Test in 7 Days, which reflects the and test guidelines and topics, incorporates the best method and the right strategies to help you hone your math skills, overcome your exam anxiety, and boost your confidence -- and do your best to defeat ASVAB Math test quickly.

This quick study guide contains only the most important and critical math concepts a student will need in order to succeed on the ASVAB Math test. Math concepts in this book break down the topics, so the material can be quickly grasped. Examples are worked step—by—step to help you learn exactly what to do. You only need to spend about 3 — 5 hours daily in your 7—day period in order to achieve your goal.

After reviewing this book, you will have solid foundation and adequate practice that is necessary to fully prepare for the ASVAB Math. Each section offers step—by—step instruction and helpful hints, with a few topics being tackled each day. Inside the pages of this comprehensive book, students can learn math topics in a structured manner with a complete study program to help them understand essential math skills.

It can be used as a self—study course — you do not need to work with a Math tutor. Ideal for self—study as well as for classroom usage. It will help you incorporate the most effective method and the right strategies to prepare for the ASVAB Math test quickly and effectively. After reviewing this book, you will have solid foundation and adequate practice that is necessary to ace the ASVAB Math test. This is the book for you! ASVAB Math practice questions, easy-to-read tutorials explaining everything in plain language, exam tips and tricks, math shortcuts, and multiple choice strategies!

The scores received from the ASVAB may be used for enlistment for up to two years from the initial test date. A military recruiter determines if the candidate is a possible recruit.

A recruiter will ask about marital status, health, education, drug use, and arrest record. It is important for the candidate to be upfront and truthful when answering questions.

Once the recruiter has determined the individual is qualified for additional processing, the ASVAB is scheduled.

A physical examination may also be conducted at the time of the test. If a person is 17 or older, they may process at the MEPs using the ASVAB score from the test they took in high school when they were at least 16 years of age.

Because of the nature of the test, the ASVAB can also be used to give a candidate valuable information about both military and civilian career choices that they may be suited for.

Each branch of the military has their own AFQT score requirements. These requirements are summarized below:. Each of the military branches will have their own minimum required scores. In practice, however, each branch will be more selective in their recruiting. For the most part, answer options that are absolute are incorrect. Never, always, and related words are often a sign that you should select a different answer.

Words like generally and usually are more likely to be correct. Plus, sweating makes your answer sheet soggy and makes it harder to mark on. On the ASVAB and on the full-length practice tests later in this book , you see 35 Word Knowledge questions and 15 questions about paragraph comprehension.

But in this chapter, you get 25 total questions just to help you warm up for the practice tests later on in this book. Word Knowledge Practice Questions In the stem of each of the following Word Knowledge practice questions, you see an underlined word.

Select the choice that best answers the question in relation to the underlined word. Pay attention to the wording of each question. Some questions ask you to select the choice closest in meaning to the underlined word. Some questions may ask you to select the word most opposite in meaning. On other questions you see the underlined word used in a sentence. In that case, your task is to select the choice most similar in meaning to the underlined word as it is used in the context of the sentence.

The other choices are unrelated. She thought that there was a conspiracy against her. Choices B , C , and D are unrelated. Choices A , B , and C are unrelated. The mother chastised her child. A comforted B carried C lectured D supervised Chastised means disciplined or punished, so Choice C is the most correct choice. Choices A , B , and D are unrelated. Obtrude means to intrude or to impose oneself on another. We often wondered why Daniel lived in such an opulent apartment.

A run-down B lavish C far away D hideous Opulent is an adjective that means wealthy, rich, or affluent.

Choice B is the answer closest in meaning. The other choices are unrelated or opposite of the meaning. A discuss B summarize C test D reread Used as a verb, recapitulate means to briefly summarize. The correct answer is Choice B. Choice A is somewhat close, but Choice B is the closest in meaning. Clemency most nearly means: A mercy B force C imprison D compliment Clemency means forgiveness or leniency in punishing a person. Choice A is the correct answer.

This year the Paris fashion industry has decided to eschew short skirts and high heels. A favor B manufacture C shun D sell Eschew is a verb that means to avoid or keep away from. Therefore, Choice C is the correct answer, and the other answers are unrelated. Latent most nearly means: A hidden B dull C pretentious D active Latent means present but not visible or noticeable, so Choice A would be the correct answer.

Latent can also mean dormant, but none of the answer choices relate to that definition. Debbie had a penchant for joining the air force and the Marine Corps. A appointment B dislike C interest D reluctance Penchant means a strong inclination, taste, or liking for something. Choice C is the correct answer.

Paragraph Comprehension Practice Questions The last half of the questions in this chapter are designed to present you with an opportunity to practice your paragraph comprehension skills. Read the short paragraph, followed by one or more questions regarding information contained in that passage. Make sure to read the paragraph carefully before selecting the choice that most correctly answers the question.

Passage one Although the average consumer replaces the tires on his or her automobile every 50, miles, steel-belted radials can last for more than 60, miles.

However, they must be properly maintained. The tires must be inflated to the correct air pressure at all times, and tires must be rotated and balanced according to a routine maintenance schedule. The tread should be checked for correct depth regularly. How long can steel-belted radials last? A 50, miles B 60, miles C No one knows. D 25, miles The correct answer is Choice B.

If you missed this one, read the passage more carefully. Choice D is the correct answer. Passage two Some people argue that baking is an art, but Chef Debra Dearhorn says that baking is a science. She says that if you follow a recipe carefully, assembling the ingredients accurately, cooking at the specified temperature for the specified period of time, your cookies will always turn out right. Chef Dearborn says the best baking is like the best experiment — anyone can duplicate it. Putting together does.

Therefore, Choice B is the correct answer. Passage four To motivate your people, give them tasks that challenge them. Get to know your people and their capabilities, so you can tell just how far to push each one. Give them as much responsibility as they can handle and then let them do the work without looking over their shoulders and nagging them. When they succeed, praise them. According to the above paragraph, if your subordinates fail to adequately perform their tasks, you should: A punish them B praise them C counsel them D both B and C The last sentence states you should give your subordinates credit for the parts of the task they performed correctly and counsel them how to do better the next time.

Remember to avoid the trap of answering based on your own personal feelings. Choice B is the correct answer. Passage five Approximately 15, years ago the first Native Americans may have appeared in Colorado. The earliest inhabitants were hunters and nomadic foragers on the plains, as well as the western plateau. Agricultural settlements began appearing along river valleys in the eastern part of Colorado from approximately 5, B. The first Native Americans in Colorado were: A farmers B traders C hunters and scavengers D originally from the Mississippi River region The second sentence states that the original inhabitants were hunters and nomadic foragers, and because none of the other answer options include hunters, you can deduce that nomadic foragers means scavengers.

Passage six Organizational leaders influence several hundred to several thousand people. They do this indirectly, generally through more levels of subordinates than do direct leaders. The additional levels of subordinates can make it more difficult for them to see results. They establish policies and the organizational climate that support their subordinate leaders. Organizational leaders provide: A direct leadership B general policies C organizational budgets D daily work schedules According to the passage, organizational leaders establish policies and the organizational climate that support their subordinate leaders.

In order to help them become more efficient, organization leaders make significant use of: A computer technology B rules and regulations C efficiency and management reports D staffs Organizational leaders have staffs to help them efficiently lead their subordinates and manage the organization. Therefore, Choice D is the correct answer. His face is as brown as saddle leather, with a touch of apple red in it from the sun. His face is creased, too, because he laughs and jokes so much.

And, best of all, if you hurt yourself or if your pet doggie hurts himself, The Toyman knows how to fix it to make it all well again. Clarke received his nickname because he was always: A fixing toys B making toys for the children C telling stories about toys D playing with toys The first sentence in the passage explains why the children gave Frank the nickname of The Toyman.

Part III gives you a chance to brush up on your numbers knowledge. It includes all kinds of information that can help you do well on the two math-related subtests the ASVAB throws at you: Arithmetic Reasoning and Mathematics Knowledge. How much wood could a woodchuck chuck? These are examples of common everyday questions that can be answered by arithmetic reasoning. Word problems help you apply mathematical principles to the real world at least the real world according to the people who think up word problems.

And the Arithmetic Reasoning subtest measures your ability to do real-life, basic, mathematical calculations derived from simple word problems. This chapter helps you decipher these mathematical equations.

The Arithmetic Reasoning subtest asks you to read a word problem, determine what the question asks, and select the correct answer. Then you have to repeat the process 29 more times. You can use your paper and lead to clarify the data, write formulas, and mathematically solve the problem.

You can even use them to draw pretty pictures to help you understand the problem. That comes out to only 1 minute and 12 seconds per question. Arithmetic Reasoning is an important part of the Armed Forces Qualification Test AFQT score, which is used to determine your general qualification for enlistment in all the service branches.

See Chapter 1 for more information. Also, certain military jobs require that you score well on this subtest. Turn to the Appendix to find out which jobs require what scores on this subtest. In order to do well on the Arithmetic Reasoning subtest, you have to remember that there are two parts: arithmetic and reasoning.

You usually have to use both of these skills for each problem. The arithmetic part comes in when you have to perform mathematical operations such as addition, subtraction, multiplication, and division.

The reasoning comes in when you figure out what numbers to use in your calculations. In other words, Arithmetic Reasoning tests how you apply your ability to perform calculations to everyday, real-life problems. Correctly solving math word problems requires you to perform a series of organized steps: 1.

Read the problem completely. Figure out what the question is asking. Dig out the relevant facts. Set up one or more mathematical formulas to arrive at a solution and then solve the problem. Review your answer.

These steps are covered in detail throughout this section. Try forming a picture about the problem in your mind or — better yet — draw a sketch of the problem on your scratch paper. As plain as the nose on a fly: Figuring out what the question is asking The second and most important step in solving a word problem is to determine exactly what the question is asking. Sometimes the question is asked directly. At other times, it may be a little more difficult to identify the actual question.

A 52 cubic inches B 88 cubic inches C cubic inches D 1, cubic inches The question asked by this word problem is stated directly. The problem asks you to determine the volume of a cardboard box. Chapter 7: Arithmetic Reasoning Now take a look at the next example: How many cubic inches of sand does a cardboard box measuring inches long by inches wide by inches tall contain? Therefore, you have to use clues imbedded in the problem in order to figure out what the actual question is.

Would figuring out the perimeter of the box help you with this question? Would figuring out the area of one side of the box help you? The question wants you to determine the volume of the container. Clue words can be a big help when trying to figure out what question is being asked. Start by identifying all the information and variables in the problem and listing them on your scratch paper.

Make sure you attach units of measurement contained in the problem mile, feet, inches, gallons, quarts, and so on. Look at the following example: To raise money for the school yearbook project, Tom sold 15 candy bars.

Becky sold 12 candy bars, Debbie sold 17 candy bars, and Jane sold the most at How many candy bars were sold by the girls? Just add the remaining bars from your list. For instance, a question may ask the following: Joan just turned How much does Joan need to save each year if she wants to become a beach bum by her 40th birthday?

Write down, in mathematical terms, what the question is asking you to determine. But you can find out the value of y — the number of years Joan has to save. You may be tempted to include the 12 years Joan has been dreaming of this trip into your formula. This number was put into the problem as a distracter.

It has no bearing on solving the problem. Reviewing your answer Before marking your answer sheet or punching in that choice on the computer, you should review your answer to make sure it makes sense. If this is the case, back up and go through the steps again until you arrive at an answer that seems probable.

Whole numbers are numbers such as 1, 2, 17, and Fractions, percents, and decimals are numbers used to represent a part of a whole number. Operations: What you do to numbers When you toss numbers together mathematically speaking , you perform an operation. When you add or multiply, you perform a basic operation. But because math functions according to yin-yang-like principles, each of these basic operations also has an opposite operation called an inverse operation.

Thus, the inverse of addition is subtraction, and the inverse of multiplication is division. And, of course, the inverse of subtraction is — you got it — addition. The inverse of division go on, you can do it is multiplication. Great work! The opposite of a positive number is a negative number, so the opposite of x is -x. But the inverse of a number is that number turned on its head!

When setting up formulas to solve word problems, you need to remember that operations must be performed in a certain order. For example, when you have parentheses in a math problem, the calculation in the parentheses must be done before any calculations outside of the parentheses. And you better believe that both results will be choices on the test! To figure out which mathematical operation you should perform first, second, third, and so on, follow these rules, otherwise known as the order of operations: 1.

Parentheses take precedence. You should do everything contained in parentheses first. In cases where parentheses are contained within parentheses, do the innermost parentheses first. For more on fractions, see the next section. And to get your fill of square roots, march on over to Chapter 8. Exponents come next. See Chapter 8. Multiplication and division are next.

You always do these operations in left-to-right order just like you read. Addition and subtraction are last. Perform these operations from left to right as well. Follow these steps: 1. Do the work in parenthesis. Division and multiplication come next in this problem, only multiplication is needed and no exponent work is present.

Finally, do the addition and subtraction in this problem, only addition is needed. Your final answer is We think most mathematicians must have a sweet tooth. If a whole number is a pizza, a fraction is a slice of pizza. A fraction also illustrates its relationship to the whole pizza. Can anyone say pig? The number above the fraction bar — the three slices your cousin ate — is called the numerator.

The number written below the fraction bar — the total number of slices the pizza is divided into — is called the denominator. Adding and subtracting fractions To add and subtract fractions, the fractions must have the same denominator, which is called a common denominator. There are two different methods to use. Read on. Chapter 7: Arithmetic Reasoning Method one Finding a common denominator can be easy, or it can be as hard as picking off all the anchovies.

This operation is an easy one, and you use this process whenever you can evenly divide one denominator by another. Follow the steps below: 1. Divide the larger denominator by the smaller denominator. In this case, 10 can be divided evenly by 5. The quotient that results is 2. The result is Replace the denominator of the smaller fraction with the result from Step 2. Multiply the numerator of the smaller fraction by 2.

In this case, the result is 6. Replace the numerator with the result of the previous step. So you have to find a common denominator that both 5 and 6 divide into evenly: 1. Multiply the denominator of the first fraction by the denominator of the second fraction. The common denominator for both fractions is Multiply the numerator by the number you used to multiply to result in the new denominator.

To convert the denominator, 5, to 30, you multiply by 6, so multiply the numerator 3 by 6. Otherwise, you change the value of the fraction. But if you had multiplied only the denominator by 6, you would have a new number. Now pause and take a bite of pizza.

Another more complicated way of adding fractions is having multiple fractions to add. If you have more than two fractions with different denominators, you have to find a common denominator that all the denominators divide into. A simple way to find a common denominator is to take the largest denominator in this case 5 and multiply it by whole numbers, starting with 1, 2, 3, 4, and so on until you find a denominator that the other denominators also divide into evenly.

In this case, 30 is the first number you can find that 2, 3, and 5 can divide into evenly, so 30 is your common denominator. Multiplying and simplifying fractions Multiplying fractions is easy. You just multiply the numerators and then multiply the denominators. Occasionally, when you multiply fractions, you end up with an extremely large fraction that can be simplified or reduced.

A number that you can divide into both the numerator and the denominator is called a common factor. In this example, the common factor is 2. Dividing fractions Dividing fractions is simple if you remember this rule: Dividing a fraction by a number is the same as multiplying it by the inverse of that number.

Of course there are always exceptions. Zero has no inverse. No one knows why — it just is. To come up with the inverse of a number, simply stand the number on its head. Converting improper fractions to mixed numbers. Simply divide the numerator by the denominator.

If you want to multiply or divide a mixed number, you need to convert it into a fraction — an improper fraction. To make the change, you convert the whole number into a fraction and add it to the fraction you already have. To make a decimal into a percent, move the decimal point two spaces to the right and add a percent sign — 0.

See the following sections for more thorough discussions of decimals and percents. The first space to the right of the decimal is the tenth place, the second space is the hundredth place, and the third is the thousandth and so on. Adding and subtracting decimals To add and subtract decimals, put the numbers in a column and line up the decimal points. Then add or subtract as if the decimals were whole numbers, keeping the decimal point in the same position in your answer.

Here are two examples: 1. In the above problems, 0. Multiplying decimals Multiplying a decimal is like multiplying a regular, everyday whole number, except that you have to place the decimal point in the correct position once you reach an answer.

To multiply decimals, start off by adding the number of decimal places from the right of the decimal point in the numbers being multiplied. Move the decimal point back to the left 3 places. The resulting product is For instance, 3 can also be expressed as 3.

For instance, 3. Suppose your answer is 50, and you have to move the decimal point to the left three spaces. So you add a zero to the left, to make , and put the decimal point in its proper position:. Add the decimal places in the two numbers. There are four. Then put the decimal point in the correct place in the answer. For , count from right to left four places, and put the decimal point there: 0. Move the decimal point over to the right until the decimal is a whole number, counting the number of decimal places.

Remember how many places you moved the decimal — you need that info later. Change 1. Chapter 7: Arithmetic Reasoning 3. Now move the decimal point two places to the left to make up for moving it two places to the right when you made 1.

Dividing decimals by decimals To divide a decimal by another decimal in which there are equal numbers after the decimal point, make the divisor the decimal going into the other number a whole number. Move the decimal point all the way to the right, counting the number of places you move it. Then move the decimal in the dividend the number being divided the same number of decimal places. So, if you want to divide 0. Move the decimal point two places to the right in the divisor: 0. Move the decimal in the dividend the same number of spaces: 0.

Divide 15 by The result is 0. If the dividend is a longer decimal than the divisor, you follow the same steps, but you have to add an extra step at the end. So, if your problem is 0. Move the decimal point in the divisor 0. Then move the decimal point in the dividend two places, to come up with Now the problem looks like this: Convert the first number Move the decimal point one place to the left to make up for moving it one place to the right when you converted The answer is 0.

When the divisor is a longer decimal than the dividend, such as 0.