How Long Is the Reading General Knowledge Test

Overview

FTCE Full general Knowledge may be a required exam for anyone seeking teacher certification in any class in Florida. It is a exam of bones skills. The test ensures that teachers at all levels possess the necessary competencies and skills to finer teach.

There are 4 subtests:

1. Essay Subtest
2. English Linguistic communication Skills Subtest
3. Reading Subtest
4. Mathematics Subtest

You tin can register to take all or whatsoever combo of the four subtests in 1 session. You lot take to pass all subtests to earn a passing score for the examination.

The exam is a estimator-based exam, merely don't worry, you merely need basic computer skills. If y'all made it to this signal in your education and career, yous have nothing to worry near.

Here is the subtest format and time allotment breakdown:

Subtest	Questions	Time
Essay	1 Essay	l Minutes
English Skills	forty Multiple-Pick	40 Minutes
Reading	twoscore Multiple-Choice	55 Minutes
Mathematics	45 Multiple-Choice	100 Minutes

Ofttimes Asked Questions About the FTCE General Knowledge

Cost: $32.50 (one subtest); $65 (2 subtests); $97.fifty (iii subtests); $130 (four subtests)

Location: Tests are by date only, yr-round. Click here to find a testing site nearly you.

What to Bring:You need to bring ii valid, unexpired forms of identification in English. Click here for more information about identification requirements.

Number of Attempts: There are no limits on how many times yous can take the test before you pass; nonetheless, you lot do take to wait 31 days between testing attempts.

Scoring: You must score at least viii out of 12 points on the Essay Subtest to laissez passer. For the English Linguistic communication Skills, Reading, and Mathematics Subtests, yous must score at least 200 points on each to pass.

When yous finish taking the test, you will immediately get an unofficial pass/not-pass issue based on the multiple-selection questions (unless they are experiencing score report delays). Yous can expect your official score inside four weeks.

Click here to read more than about testing policies.

Register for the FTCE General Cognition exam here.

Oft Asked Questions

What FTCE test(s) do I need to take?

The Agency of Educator Certification (BEC) determines your testing requirements after you apply for certification. Click hither for more info.

Yous may be able to demonstrate mastery of General Knowledge in another mode. Click hither for more than info.

How long volition the FTCE General Noesis test accept me?

The full exam itself is 245 minutes but wait to be at the testing site longer. It takes time to go checked in and get started. Plan to arrive at least xxx minutes earlier your appointment fourth dimension.

Do I get a break during the FTCE Full general Knowledge exam?

If you have all four Full general Knowledge subtests in a single session, you volition receive a 15-minute pause.

What can I wait when I get in at the testing site to take the FTCE Full general Cognition examination?

When you become there, expect to take your identification checked, your photograph taken, your palm scanned, your eyeglasses checked, and to place your belongings in secure storage. You volition be given an erasable notepad and pen. Before starting the test, y'all'll accept to complete a short tutorial and sign an agreement.

How exercise I pass the FTCE General Noesis test?

To pass the FTCE General Knowledge test, you must first understand what is on the exam and what you will be expected to know. The best way is to review the 240Tutoring test breakdown materials and practise questions. Once you identify areas of weakness, you can begin targeting those areas with instructional content and practise questions.

Is the FTCE General Knowledge exam hard?

Yea, it'due south challenging. Take a look at these passing rates:

What FTCE exam(s) practice I need to accept?

The Bureau of Educator Certification (BEC) determines your testing requirements after you apply for certification. Click here for more info.

You may exist able to demonstrate mastery of General Knowledge in another style. Click here for more info.

How long will the FTCE General Knowledge examination take me?

The full examination itself is 245 minutes but expect to be at the testing site longer. It takes time to get checked in and get started. Plan to arrive at least 30 minutes earlier your date time.

Exercise I get a break during the FTCE Full general Cognition test?

If yous take all four General Knowledge subtests in a single session, you will receive a 15-minute suspension.

What can I expect when I arrive at the testing site to take the FTCE General Noesis examination?

When you get there, look to accept your identification checked, your photograph taken, your palm scanned, your eyeglasses checked, and to identify your belongings in secure storage. You will be given an erasable notepad and pen. Earlier starting the test, you lot'll have to complete a curt tutorial and sign an agreement.

How do I pass the FTCE General Knowledge test?

To pass the FTCE General Knowledge examination, you must commencement understand what is on the exam and what you will be expected to know. The all-time mode is to review the 240Tutoring examination breakdown materials and practice questions. Once you identify areas of weakness, you can brainstorm targeting those areas with instructional content and practice questions.

Is the FTCE General Noesis exam hard?

Yea, information technology'due south challenging. Accept a await at these passing rates:

Source: Florida Section of Education, Partitioning of Accountability, Research, and Measurement, Office of Cess, Postsecondary. Data are provided by Evaluation Systems grouping of Pearson February 2018.

Top Tips

• Make sure to answer every question (even if yous judge)
• Know how much time yous accept left
• Eliminate wrong answers showtime
• Work through practise questions and so you know what to look
• Written report quality, trusted sources (like 240Tutoring)

Overview

You will have 50 minutes to complete 1 essay question. Y'all must prepare, write, and edit your essay inside the l minutes. A whiteboard will be given to you so you can plan your essay.

2 raters will score your essay based on content and these elements:

• ideas
• focus
• organization
• style
• diction
• sentence structure
• mechanics
• capitalization
• punctuation
• spelling
• usage

Take a look at the official skills assessed via the essay:

Check out the 240Tutoring Constructed Response Questions page. Information technology has some very good information that will help you lot on the test.

Overview

You lot will have 55 minutes to complete 40 multiple-choice questions.

All Reading questions are passage based. Reading passages will be both expository and narrative. Each test form will contain well-nigh five passages.

The Reading subtest tin be neatly divided into three different sections. Those three sections are:

• Key Ideas and Details
• Craft and Structure
• Integration of Information and Ideas

Then, let'due south start with the biggest, Key Ideas and Details.

Fundamental Ideas and Details

This section tests your knowledge on drawing inferences and conclusions, identifying themes, and determining the cause and outcome of events.

Key Ideas and Details questions make up about 40% of the Reading subtest.

At that place are three large concepts y'all definitely have to know to get these questions correct:

• Conclusions and Inferences
• Crusade and Effect
• Cardinal Idea and Themes

The start large concept is knowing what conclusions and inferences are and how they differ from each other.

A decision is a sentence or decision reached based on what you learned from the passage.

An inference is figuring out missing information past using clues and hints from the passage. When trying to make an inference, a adept question to enquire yourself is, "What does the passage propose?" An inference is a typeof conclusion.

Make certain your inferences rely on the writer's words rather than your own feelings or experiences.

Yous can 100% await to be asked to describe a conclusion or brand an inference after reading a passage.

The next big concept is understanding what cause and effect is. A cause/result human relationship describes or discusses an result or action that is caused by another outcome or activeness. This construction often uses words and phrases such as because, since, as a result, due to, consequently, and therefore.

Remember, ane cause (or event) tin can have several effects. For example, crashing your car tin cause broken basic, increased insurance premiums, and angry parents. This one event had three (negative) effects.

You tin expect to come across crusade and outcome questions on the test.

And the last large concept to know is what primal ideas and themes are and how to identify them. Retrieve of master ideas and cardinal ideas every bit the same thing. They are what the story is generally about. Chief ideas are usually constitute in literary passages while central ideas are ordinarily found in informational text.

The theme of a piece of text is the message or lesson the author wants to get across. Information technology is normally a argument about life that readers can apply to their own lives.

Y'all as well demand to know howto identify the central/main ideas and themes of reading passages. This will definitely be on the test. A neat resource to accept would be a very thorough study guide (I know of a not bad one!).

Now, those are the three broad concepts to be familiar with.

Specific Concepts

Right now, I'chiliad going to give yous one specific concept that will be on the test.

Supporting Information/Evidence

The phrase "textual evidence" comes upwardly several times in the Reading subtest competencies and skills.

Reading passages contain supporting information, or prove, which includes facts, statements, or examples that guide you to a total understanding of the principal idea. This evidence is used to analyze, illuminate, explicate, draw, expand, and illustrate the main idea.

Sometimes a test question will ask you to choose which supporting evidence from a passage best proves the writer'south merits.

Some examples of supporting information/evidence include:

• comparison- i thing is shown to exist similar some other
• contrast- 1 thing is shown to differ from another
• statistics- use of inquiry to back up an ascertainment
• quotations- use of the words of regime to add weight to an argument
• brilliant descriptions

Craft and Structure

This section tests your knowledge on how well you can identify and explain an author's word choice, system, bespeak of view, and purpose.

Arts and crafts and Construction questions make up about 25% of the Reading subtest.

There are three big concepts you definitely have to know to go these questions correct:

• Discussion Selection and Pregnant
• Organisation and Text Structure
• Point of View and Purpose

The offset big concept to know is discussion choice and meaning. Why did the writer choose to use this word and what does information technology mean? Specific word choices can shape a text'due south meaning or tone. Author'southward carefully choose their words when writing a story. Authors may cull to utilize different types of language like figurative or connotative linguistic communication.

For the test, you lot demand to be able to figure out the meaning of words and phrases and how those specific word choices affect the meaning or tone of the passage.

The side by side big concept to know is almost story organization and text structure.For the test, think of these words equally synonyms. System is the human activity of putting things into a logical lodge, and can refer to writing, thoughts, or even your sock drawer!

In writing, organization is the organization of ideas, incidents, prove, or details in a specific order. Writers apply different organizational strategies, and you need to be able to recognize a few of the nearly utilized methods of organisation like cause/effect, compare/contrast, and problem/solution.

And the last big concept is signal of view and purpose. Yous demand to be able to figure out howan writer views something and whyan author wrote the passage. On the test, you may be asked to compare the point of view of two or more authors on the aforementioned topic.

Know these purposes for writing:

• to persuade
• to inform
• to entertain
• to compare
• to express

At present, those are the three wide concepts to be familiar with.

Specific Concepts

Right now, I'1000 going to requite you two specific concepts to be familiar with because they will most likely appear on the test.

Figurative Language

Figurative language is language that uses words with meanings that are different from the literal interpretations. A writer using literal linguistic communication simply states the facts equally they are. A writer who describes something past comparing it with something else is using figurative language.

Writers utilise figurative language to be more constructive and persuasive and to give the readers new insights. The most common figurative language are similes, metaphors, and personification.

Connotative Language

The emotion and association continued to a word is known as its connotative meaning. Since different people have different experiences, words can connotatively mean different things. Words can take a negative, neutral, or positive connotation.

A word's dictionary definition is known as its denotative pregnant.

Integration of Information and Ideas

This department tests your ability to evaluate, synthesize, and analyze information from texts.

Integration of Information and Ideas questions make up nearly 35% of the Reading subtest

There are really simply 3 things yous need to know how to do for this part of the test. Yous need to know how to:

• Evaluate a statement
• Synthesize information
• Compare two statements

The first matter you demand to know how to practice is evaluate an author's statement for relevancy, sufficiency, and validity. The test may ask you to read an author's statement from a passage and then determine if that statement is valid or invalid and why.

The next affair you need to know how to do is synthesize information. Basically, you need to take all of your groundwork noesis (the stuff y'all already know) and what yous larn from a reading passage to form a better understanding of what the writer is trying to say.

And finally, you need to exist gear up to compare 2 statements from a passage. On the test, you will for sure exist asked to read ii sentences from a passage and determine if the second sentence contradicts, explains, restates, clarifies, describes, or relates the first sentence.

And that's some bones info virtually the Reading subtest.

Overview

You volition take 40 minutes to complete xl multiple-choice questions.

The English Linguistic communication Skills subtest can be neatly divided into three different sections. Those three sections are:

• Language Structure
• Vocabulary Application
• Standard English language Conventions

And then, let's start with Language Construction.

Linguistic communication Structure

This section tests your cognition on how the English language works (or should work).

Linguistic communication Structure questions make upward about 25% of the English Language Skills subtest.

There are iv large concepts yous definitely take to know to get these questions correct:

• Modifiers
• Parallelism
• Constructive Structures
• Patterns of System

The first large concept yous should know is what a modifier is. Modifiers are words or phrases that alter or clarify some other word in the judgement. The purpose of a modifier is to add together detail or explain something. These words are usually adjectives (depict nouns) or adverbs (depict verbs).

Here is an example. Look at this simple sentence:

They were running.

Now, let's add a modifier:

They were running speedily.

The adverbspeedilyis a modifier of the verbrunning.

Get it? Skillful!

But, modifiers are ordinarily misplaced. Look at this sentence:

She purchased a car for my blood brother they phone call Lightning.

In this sentence, Lightning is the motorcar'due south proper noun. But the placement of the modifier is all wrong, so it causes some confusion. Is Lightning the blood brother's proper noun? No! Let's move the modifier closer to the noun it modifies:

She purchased a car they phone call Lightning for my brother.

See? All better.

Here'south a friendly tip: These are very unproblematic sentences I merely used. Look the sentences on the test to be much more than detailed.

The next big concept to know is parallelism.Very just, parallel structure ways that you utilise the aforementioned grammatical form within a sentence.

Let's look at an example of a sentencewithout parallel structure:

Caroline enjoys dancing, the playground, and to have long walks.

At present, look at the same sentence butwith parallel structure:

Caroline enjoys dancing, going to the playground, and taking long walks.

See how all the verbs end in –ing? That'due south parallelism!

Again, these are unproblematic sentences. Await to see more detailed, complex sentences on the exam.

The third big concept to know is effective structures.This includes knowing how to identify and set up:

• fragments
• comma splices
• run-on sentences
• syntax errors

I'll talk about a couple of these in more detail in a petty bit.

And the last large concept to know is patterns of organization.More specifically, yous need to know what the modes of rhetoric are. Here, let me tell you. The virtually common modes are:

• narrative
• descriptive
• expositive
• argumentative

Now, those are the four broad concepts to be familiar with.

Specific Concepts

Right at present, I'm going to give you two specific concepts to be familiar with considering they will most likely announced on the examination.

Comma Splices

Comma mistakes happen. They happen a lot. A comma splice is a common comma fault (wow, that was a mouthful). This error occurs when two independent clauses are joined together with a comma. It is a type of run-on sentence. Let'south look at an case:

Tomatoes are non vegetables, they are a fruit.

These two independent clauses tin exist sentences on their ain, so simply adding a comma between them just doesn't work.

We tin fix this comma splice error 3 ways:

By calculation a conjunction:

Tomatoes are not vegetables,just they are a fruit.

Past changing the comma to a semicolon:

Tomatoes are not vegetables; they are a fruit.

Past making separate sentences:

Tomatoes are not vegetables. They are a fruit.

You tin can look to have to right a comma splice mistake on the test.

Sentence Fragments

A sentence fragment is a group of words that look similar a sentence but aren't. A sentence needs at least one independent clause, containing a discipline and a verb. Here is an example of a fragment:

Bought the groceries.

This fragment begins with a capital letter and ends with a period, only it is not a complete sentence. Where is the subject? Who bought the groceries? Let'southward fix it:

Jonathanbought the groceries.

At that place you lot become. Now it'due south a complete sentence with a subject and a verb (independent clause).

You'll more than than likely demand to identify and fix sentence fragments on the test.

Vocabulary Application

Put simply, this department tests your knowledge about words.

Vocabulary Application questions brand up about 25% of the English language Language Skills subtest.

There are iii large concepts you definitely accept to know to get these questions correct:

• Decide Meaning of Words
• Correct Usage of Words and Phrases
• Diction and Tone

The first big concept you lot should know is how to use context to figure out what a word means.Y'all will come across a give-and-take that you probably don't know on the test. By using the context (the sentences around the word) and clues, you should be able to effigy out what that discussion means.

Parts of words, similar prefixes, roots, and suffixes, can really help you figure out what a word means.

The next big concept to know is how to correctly use words and phrases. On the exam, yous will definitely exist given a judgement with a word missing. You will accept to choose the most constructive discussion or phrase within the context to identify in the sentence.

And the terminal big concept to know is what diction and tone are and how to identify them in writing.Wording refers to the writer's choice and use of words and tone is the manner the author expresses his or her feelings and attitudes through those words.

Those are the iii broad concepts to be familiar with.

Specific Concept

Let'due south talk about a specific concept that you need to be familiar with.

Commonly Misused Words

There are sure words that people only have a hard time with. Take a wait at this listing:

• affect/effect
• lie/lay
• you're/your
• imply/infer
• incorporate/compose
• further/farther
• fewer/less
• cite/site
• than/then
• to/as well/2
• there/their/they're

For each of the bullets above, make sure to know when the right time to use each word is. You lot will more than than likely run into at least one of them on the test.

Prefixes, Roots, and Suffixes

You can use a noesis of prefixes, roots, and suffixes to figure out what a word ways.

For instance, let's await at the give-and-takeportable(I know, you probably already know what this discussion means, only it's a good example). If you accept a expert understanding of prefixes and suffixes, y'all tin can assemble a good thought about whatportableways.

The prefixportwaysto carryand the suffixablemeanscapable of. So, put them together and you can figure out that the wordportablemeanscapable of being carriedor something like that.

Be familiar with the almost common prefixes, roots, and suffixes. Check out this resource. It volition help y'all on the test.

Standard English Conventions

This section tests your ability to place and correct errors in sentences. These include tense, subject/verb agreement, parts of speech, spelling, punctuation, and capitalization errors.

Standard English language Conventions questions make upwards about fifty% of the English Language Skills subtest.

There are three big concepts you definitely have to know to get these questions correct:

• Parts of Speech communication
• Capitalization, Punctuation, and Spelling Conventions
• Understanding

The first big concept to know is the parts of speech.You definitely need to know what these are:

• substantive
• pronoun
• verb
• adverb
• describing word

Be sure to know what these parts of speech are and how to correctly use them in sentences.

The next big concept to know is standard capitalization, punctuation, and spelling conventions.These are the rules of capitalizing, punctuating, and spelling. Accept some fourth dimension to review all of those rules yous learned in grade school.

Think, on the test, yous'll be finding errors in sentences.

And the last big concept is agreement.In that location are two types of understanding that will appear on the exam: subject/verb and pronoun/antecedent. Know what both of these are and how to fix sentences with understanding problems.

Now, those are the three broad concepts to be familiar with.

Specific Concepts

Right at present, I'thousand going to requite you two specific concepts to be familiar with.

Pronoun Shifts

This is a common grammatical error that occurs when a writer starts a sentence using i type of pronoun and then of a sudden shifts to another type of pronoun.

Let'due south look at an example:

Ifyou brushyour teeth regularly, then mostpeople can avoid cavities.

This judgement starts with the pronounsyou andyour (singular) but and then of a sudden shifts topeople (plural). This is an mistake. Let's prepare it:

Ify'all castoryour teeth regularly, thenyou lot can avoid cavities.

See how it all matches at present? No sudden shifts!

Subject-Verb Agreement

In sentences, subjects and verbs must agree in number. This means that if a subject area is singular, its verb also needs to be singular. If the subject is plural, then its verb must too exist plural. Let'south look at a judgement with wrong subject-verb agreement:

Emily are at the puddle.

The subject area,Emily, is singular. Emily is one girl. The verb,are, is plural. Let's set this sentence:

Emilyis at the pool.

Now, the subject and verb are both in singular course. They agree.

The trick to making sure your subjects and verbs agree is knowing the atypical and plural forms of subjects and verbs. There are some rules that are helpful to know.

And that's some bones info near the English language Linguistic communication Skills subtest.

Overview

Yous will take 100 minutes to complete 45 multiple-option questions.

Reminder: The test center will provide an on-screen iv-function figurer and an on-screen reference sheet.

The Mathematics subtest can be neatly divided into four different sections. Those five sections are:

• Number Sense
• Geometry and Measurement
• Algebraic Thinking
• Probability and Data

So, let'due south start with Number Sense.

Number Sense

This section tests your ability to order numbers and correctly solve real-world problems using the four operations.

Number Sense questions brand up about 17% of the Mathematics subtest.

There are three large concepts you definitely have to know to get these questions correct:

• Club of Operations
• Value of Existent Numbers
• Word Issues

The first big concept and by far the most important is society of operations.

The order of operations, or PEMDAS, P-E-MD-As, is simply the process you follow to simplify and piece of work an equation.

Let me give you an case. If you have an equation like this:

2(x – three) + 3(x + 4)²

You have to work the problem co-ordinate to a specific order, the society of operations.

In this particular example, yous would beginning solve for the parentheses, so y'all would solve for the exponents. Then going left to correct, yous practise either multiplication or division then you lot would add or subtract in the same social club (from left to right).

So that's why we group the One thousand and the D and the A and the South together.

Now, this is incredibly important because, on the exam, you volition be required to simplify an equation. So, you have to know the order of operations to get that question correct.

The next large concept to know is the value of real numbers. A real number is, really, whatsoever number you lot tin can retrieve of. Information technology includes whole numbers, rational numbers (fractions and decimals), and irrational numbers (π, √two, etc.). Real numbers can exist negative or positive.

Now, the test volition, and I mean will have you place different forms of numbers from greatest to least or least to greatest on a number line.

In a given data ready, you might have two fractions, a decimal, pi, a negative integer, and a regular integer. You and then must organize all of these from least to greatest (or greatest to least).

So, make certain you know how to translate decimals to fractions and fractions to decimals, so you tin can compare the two to figure out which one is greater or less than the others.

Oh, and also make sure yous understand decimals to the hundredths place.

At present, the last major concept to know from number concepts is how to read, structure, and apply mathematical word issues.These problems will include all four operations (+, -, x, ÷).

Now, my biggest tip to help yous with this is just to work through a lot of authentic practice questions, specifically, word problems in mathematics.

At present, while these questions aren't going to be the about complex, it does take a lot of exercise to learn how to read a question prompt, understand the question, and then solve the problem.

And really, it's just one of those things yous accept to practice, practise, practice. So, detect a great source of authentic do questions that yous can employ.

Those are the three broad concepts to exist familiar with.

Specific Concepts

Right at present, I'm going to give y'all ii specific concepts to be familiar with because they volition well-nigh likely appear on the test.

Prime Numbers

A prime number is a whole number that cannot exist made past multiplying other whole numbers together. Examples of prime numbers include 2, three, five, seven, and eleven. There are many more.

You should also know what prime factors are and how to find them.

Properties of Math

Recollect of a belongings as kind of similar a rule yous need to follow. Okay? At that place are quite a few of these properties:

• Commutative Property of Add-on
• Commutative Property of Multiplication
• Associative Property of Addition
• Associative Holding of Multiplication
• Distributive Property
• Condiment Identity Holding
• Additive Changed Property
• Multiplicative Identity Property
• Multiplicative Inverse Property

Whew. Like I said, there's a lot. You need to know what these are and how to solve bug using them. A really thorough written report guide would be a great resource to have and apply.

Geometry and Measurement

This department tests your ability to identify and classify shapes and solve measurement problems.

Geometry and Measurement questions make up nigh 21% of the Mathematics subtest.

At that place are three large concepts yous definitely take to know to go these questions correct:

• Ii- and 3-Dimensional Shapes
• Ratio and Proportion
• Measurement Units and Quantities

The commencement large concept to know is how to identify and classify both two- and three-dimensional shapes based on their properties.Properties of two-dimensional shapes can include sides, corners, and angles.

Properties of 3-dimensional shapes tin include faces, edges, and vertices.

You also demand to know how to find the perimeter and area of 2-dimensional shapes and the surface expanse and volume of 3-dimensional shapes.

The next big concept to know is what ratio and proportion are. On the examination, you will be asked to solve ratio and proportion problems past looking at scaled drawings. Let'southward talk about what these three words mean.

Aratiosimply compares numbers. A ratio can exist written in three different ways:

iii:1

3 to 1

3/one

Aproportionmeans that ii ratios are equal. For example, 1/4 = two/8. These ratios are equal because if we reduce ii/8, we get in at i/four.

Ascaled drawingis a drawing that represents a really large object (too large to exist drawn in its bodily dimensions).

So, know these terms and exercise several practice problems to go set up for the examination.

And the last big concept to know is measurement units and quantities.

You lot need to exist familiar with units and quantities like:

• temperature
• fourth dimension
• coin
• length
• width
• top
• expanse
• mass
• weight
• book
• speed

At present, merely like with word problems and number concepts, this mathematical concept isn't necessarily complex, you just need to make sure you lot're familiar with those dissimilar types of measuring units and quantities.

Those are the three broad concepts to exist familiar with.

Specific Concepts

Right now, I'm going to give you two specific concepts to be familiar with because they will most probable announced on the test.

Pythagorean Theorem

The Pythagorean Theorem is used to observe any length of a side of a right triangle (if you know the other two sides).

The equation of the Pythagorean Theorem is:

a²+ b²= c^two

Where A and B are the two sides of the correct triangle and C is the hypotenuse of the triangle.

And I guarantee you lot one thing, if you lot take anything from this, have this 1 affair: you will take a question about the Pythagorean Theorem on the examination. That is an accented guarantee. It will about likely be in some sort of word problem.

An example would be:

Baton walked three blocks west, and four blocks north. If Baton walked a directly line, how many blocks would Billy take walked?

Something similar that will show upward on the exam.

Area

On the test, you will be asked to find the surface area of two-dimensional shapes and the surface area of iii-dimensional shapes.

But don't worry! Remember, I told y'all that yous'll be given an on-screen reference sheet for the Mathematics subtest. This reference sheet lists all of the formulas for finding area and surface surface area.

BUT, you do need to spend some fourth dimension practicing these types of bug. It won't be as easy as just finding the area of a rectangle (length ten width). Y'all might exist asked to find the expanse of a trapezoid or the surface surface area of a cylinder.

And you can bet these skills will be tested with real-world word problems.

Algebraic Thinking

This section tests your ability to, you guessed it, solve algebra bug.

Algebraic Thinking questions make up nigh 29% of the Mathematics subtest.

There are three big concepts you definitely have to know to get these questions right:

• Solving for x
• Gradient-intercept class
• Creating an equation from a data prepare

The starting time large concept you need to know is how to solve for 10.Solving for x is pretty straightforward. The examination will requite yous an equation and then you have to solve for x. So, the test will requite you lot an equation like:

4x^two– 4(three + 2) = 16

And in this equation, nosotros would simply demand to balance the equation for x, so you would simplify it as much equally you tin can, balance the equation, and you'd detect that x equals 3.

4xⁱⁱ– 4(5) = 16

4xⁱⁱ– twenty = 16

4xⁱⁱ= 36

x²= ix

x = 3

At present, accept note. You lot are more than likely going to be presented with a real-world word trouble. Exist able to take what you need from the problem, build the equation, and solve for x.

You are likewise going to take to solve inequalities. Solving inequality statements in one variable, such as 3/4x – 9 > 21, is much the same equally solving equations similar those addressed in a higher place.

The only major differences are that:

1. the direction of the inequality sign volition change after some operations are performed
2. a finished final answer mostly requires the variable to be written on the left
3. the solution set is often presented on a number line.

And the second concept is slope-intercept grade.

Now, the slope-intercept equation is simply:

y = mx + b

And in this equation, chiliad is equal to the slope of the line on a graph and b is the y-intercept, hence the name slope-intercept form.

And so, for the equation:

y = 3x + iv

The slope of the line would be three and the y-intercept would be 4.

Now, the last major concept to know is how to create an equation from a data prepare.The examination will requite you lot a data fix that looks something similar this:

10	1	ii	3	4
y	-1	-3	-five	-7

And yous're required to create a corresponding equation that matches the data prepare. For this data set, the respective equation is:

y = ane – 2x

At present, if you lot look at the data set, anytime you plug the x value in, y'all get the corresponding y value if you lot solve for the equation. And while this kind of question can seem difficult, it's one of the easier questions to answer if you lot just work backward.

All y'all need to do is look at the answer options, plug in the data set values into each equation, and see if they match.

Now, those are the three broad concepts to be familiar with.

Specific Concepts

Right at present, I'm going to give you two specific concepts to be familiar with because they will most likely appear on the exam.

Distributive Property of Multiplication over Addition

In that location are a lot of properties (think: rules) in algebra. Knowing them volition help you lot solve algebra problems quickly and correctly.

Take a look at one of these properties, the Distributive Belongings of Multiplication over Improver:

The production of a factor with a sum is the same every bit the sum of the products made past that Algebra gene and each number involved in the addition or subtraction. The opposite management is also true.

Symbolically, and then, the Distributive Belongings can exist represented multiple ways:

a(b + c) = ab + ac

(b + c)a = ba + ca

ab + ac = a(b + c)

ba + ca = (b + c)a

As subtraction is properly understood as a form of addition, each statement above is also true for subtraction, such every bit a(b – c) = ab – ac.

FOIL

Call back the acronym FOIL from middle school algebra? The messages of

FOIL stands for the pairs of values to exist multiplied during the distribution procedure before beingness added together.

For example, in the trouble (a + b)(c + d):

F = First, the beginning quantity from each binomial = ac

O = Outer, terms towards the outside of the binomial multiplication problem = ad

I = Inner, the terms towards the inside of the binomial multiplication trouble = bc

L = Last, the last term in each binomial = bd

And so, the product of (a + b)(c + d), obtained through the Distributive Property using FOIL, is the sum of the terms ac + ad + bc + bd.

Probability and Data

This section tests your ability to determine the likelihood of events occurring and analyze and interpret sets of information.

Probability and Data questions make upwards well-nigh 33% of the Mathematics subtest. It'south a big one.

There are three big concepts you definitely take to know to go these questions correct:

• Measures of Central Tendency
• Organizing and Displaying Data
• Probability

The starting time big concept to know is measures of central tendency.What does that mean?

It's simply four concepts: mode, median, mean, and range.

At present, on the test, they're going to give you a data prepare of about eight to 12 numbers, and they're going to enquire you one or more of the post-obit. What is the mode? What is the median? What is the mean? Or what is the range of the information set? They will likewise be embedded in real-globe word problems.

And so, y'all take to know what those central tendency measurements are and how to find them for a data set. And when yous exercise, work on a data set of most eight to 12 double-digit numbers.

The next big concept to know is the different ways to brandish and organize information.On the test, you will see data displayed in the following ways:

• histograms
• bar graphs
• circle graphs
• pictographs
• line plots
• tables

Know what each of these are and how the presentation of data tin lead to unlike or inappropriate interpretations in the context of a existent-world situation.

And, finally, the last big concept to know is probability.Probability is defined as the likelihood of an event occurring. Probability is the number of successful outcomes possible to the total number of outcomes possible.

Look at these examples.

If a half dozen-sided dice is rolled, what is the probability of landing on any i of the sides? The respond, of course, is one in six.

The next question yous might get is: Billy flipped a coin 10 times. The money landed on heads vii times, and the money landed on tails 3 times. What is the probability of the coin landing on tails on the adjacent flip?

You likewise need to know how to calculate probability using counting procedures, tables, and tree diagrams.

Now, those are the three broad concepts to be familiar with.

Specific Concepts

Correct at present, I'k going to requite you two specific concepts to be familiar with because they will nearly likely appear on the examination.

Standard Deviation

Yous need to what standard divergence is. The standard deviation of a data set is found by taking the (positive) foursquare root of its variance. When the measures of key tendency are closely clustered so that the mean is approximately equal to the median, which is also approximately equal to the fashion, and the data is dispersed symmetrically about the median, this is called a normal distribution and is often referred to as a bell curve. In a normal (bell-shaped) distribution, virtually two-thirds of the data prevarication between ±1 standard deviation of the mean.

Did that brand your caput hurt? Well, put more just, standard deviation is a measure of how spread out numbers are.

Odds

So, people frequently utilise the terms "odds" and "probability" interchangeably. But, there is an of import difference between the two.

Probability = the number of successful outcomes possible: total number of outcomes possible.

Odds = number of successful outcomes possible: number of unsuccessful outcomes

Know the difference betwixt the ii. It's important.

And that's some basic info well-nigh the Mathematics subtest.

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