#

# Math Problems, Questions and Online Self Tests

Free online math problems, questions and self tests on precalculus topics. Answers and detailed solutions are provided.

## Math Problems and Questions

• Solve math problems (1) and the Solutions are provided.
• Numerical, Graphical and Analytical Math Problem Solving (1). The problem of maximizing the area of a rectangular garden is examined using three approaches: numerical, graphical and analytical. A discussion to compare the three methods is also presented.
• Linear Functions Problems with Solutions A set of problems involving linear functions, along with detailed solutions, are presented. The problems are designed with emphasis on the meaning of the slope and the y intercept.
• Math Problems and Solutions on Integers. Problems related to integer numbers are presented along with their solutions.
• Mixture Problems With Solutions. Mixture problems and their solutions are presented along with their solutions. Percentages are also used to solve these types of problems.
• Polynomial Problems with Solutions. Polynomial problems with detailed solutions.
• Write Rational Functions – Problems With Solutions. Write rational functions given their characteristics such as vertical asymptotes, horizontal asymptote, x intercepts, hole.
• Rate, Time Distance Problems With Solutions. The relationship between distance, rate (speed) and time Distance = time * rate is used to solve uniform motion problems. Detailed solutions to the problems are provided.
• Work Rate Problems with Solutions. A set of problems related to work and rate of work is presented with detailed solutions.
• Projectile Problems with Solutions. A tutorial on solving projectile problems. Detailed solutions to the problems are provided.
• Math Questions With Answers (1) and detailed explanations and solutions of these questions are also provided.
• Math Questions With Answers (2) and Solutions and explanations. A set of multiple choice math questions and their answers are presented. These questions have been designed to test for deep understanding of math concepts.
• Math Questions With Answers (3). Math questions on logarithmic and exponential expressions and equations, with answers.
• Math Questions With Answers (4). Math questions on solving equations and inequalities with absolute value. Equations with complex solutions are also included.
• Math Questions With Answers (5). Math questions on circles and distance between two points.
• Math Questions With Answers (6). Math questions on slopes and equations of lines.
• Math Questions With Answers (7). Math questions on how to find the domain of a function.
• Math Questions With Answers (8). Math questions on simplifying polynomials.
• Math Questions With Answers (9). Math questions on synthetic division of polynomials.
• Math Questions With Answers (10). Math questions on degree and multiplicity of zeros of polynomials.
• Math Questions With Answers (11). Math questions on factoring polynomials.
• Math Questions With Answers (12). Math questions on decomposition into partial fractions.
• Math Questions With Answers (13): Quadratic Functions. Math Questions with answers on finding maximum and minimum values, vertex, axis of symmetry, interval of increase and decrease and the range of quadratic functions.
• Percent Math Problems Several word problems on percentage with detailed solutions are presented.
• Percent Math Questions Several questions on percentages, with detailed solutions are presented.
• Solve Slope Problems and the Solutions are provided.
• Solve Line Problems and the Solutions are provided.
• Solve Exponential and Logarithm Problems and the Solutions are provided.
• Solve Distance Problems and the Solutions are provided.
• Questions on Functions and their Solutions are provided.
• Mathematical Induction – Problems With Solutions. Several problems, with detailed solutions, on mathematical induction are presented.

## Sequences

• Geometric Sequences Problems with Solutions. Problems and exercises involving geometric sequences, along with detailed solutions and answers, are presented.
• Arithmetic Sequences Problems with Solutions. Problems and exercises involving arithmetic sequences, along with detailed solutions and answers.

## Algebra, Equations and Inequalities

• Algebra Problems and their detailed solutions. You have the choice between a set of questions with their answers or a set of 50 questions in the applet to self test you background on algebra.
• Solve Quadratic Equations With Rational Expressions – Problems and detailed solutions provided. Solve a set of problems related to quadratic and rational equations. You have the choice between a set of 10 problems and 50 questions from an applet.
• Solving Linear Equations – Questions. Multiple choice questions on solving linear equations. Answers included.
• Equations And Inequalities with Absolute Value – Problems and their answers. A set of 10 multiple choice problems related to equations and inequalities with absolute value and their answers problems are presented. The same problems can also be solved as a self test using an applet.
• Polynomial and Rational Inequalities, questions and their answers. Questions on solving Polynomial and Rational Inequalities are presented. These may be used as a self test.

## Functions, Domain, Composition and Inverse

• Find the Domain of a Function – Problems with detailed solutions. A set of 10 problems, on finding the domain of a function, with their solutions are presented.
• Composition of Functions Questions with adetailed solutions. Questions, with their answers, on compositions of functions are presented. These questions may be used as a self test.
• Find Inverse Functions – Questions and their detailed solutions. Questions on how to find the inverse of linear, quadratic with restricted domain, logarithmic, exponential and rational, together with detailed solutions, are presented.
• Questions on one to one Functions. Several questions with detailed solutions as well as exercises with answers on how to prove that a given function is a one to one function.

## Logarithms

• Solve Exponential and Logarithmic Equations. questions with answers. Questions on solving exponential and logarithmic equations and ,indirectly, on all properties of exponential and logarithmic functions are presented. These questions may be used as a self test.

## Graphs of Functions

• Graphs of Functions – Questions and their answers. Given the equation of a function, identify a possible graph (among 4) corresponding to the given function. Algebraic functions including linear, square root, quadratic and absolute value functions are included.
• Graphs of Polynomial Functions – Questions with answers. Questions and their answers on graphs of polynomial functions are presented. These questions may be used as a self self test.
• Graphs of Rational Functions – Questions with answers. Questions, and their answers, on identifying graphs of rational functions are presented.
• Graphs of Logarithmic and Exponential Functions – Questions with answers. Questions, and their answers, on the graphs of Logarithmic and Exponential functions are presented. These may be used as a self test.

## Trigonometry

• Solve Trigonometric Equations – Problems with answers. 10 problems, with their answers, on solving trigonometric equations are presented here and more in the applet below.
• Graphs Trigonometric Functions – Questions with answers. A set of questions, with their answers, on identifying the graphs of trigonometric functions sin(x), cos(x), tan(x), sec(x), csc(x), cot(x) are presented. These may be used as a self test on the graphs of trigonometric functions.
• Find Values Of Trigonometric Functions – Questions with answers. A set of questions, with their answers, on finding exact values of trigonometric functions sin(x), cos(x), tan(x), sec(x), csc(x), cot(x) are presented.

## Unit Converion

• Convert Units of Lengths. A set of questions on how to convert from one unit of length to another: meters, kilometers, millimeters, centimeters, decimeters, feet, inches, yards, miles, nanometers and micrometers. Both metric and imperial units are used.
• Convert Units of Velocity. Questions, with answers, on how to convert from one unit of velocity (speed) to another. For the lengths, both metric and imperial units are used.

## Complex Numbers

• Questions on Complex Numbers with answers. The questions are about adding, multiplying and dividing complex as well as finding the complex conjugate.

#

# Printable Physics Worksheets, Tests, and Activities

Try physics tests on motion, energy, and forces. Take a quiz to test knowledge of electrical circuits using schematic symbols.

Worksheets labeled with are accessible to Pro subscribers only. Become a Subscriber to access hundreds of premium worksheets.

Don’t see a worksheet you need? Use our Test Maker to create your own printable that fits your needs. Browse physics questions or use our advanced search to find existing questions while filtering by grade levels and keywords. Customize your test further by creating your own assessment questions .

## High School and AP Physics

### Waves and Sound

Copyright Notice: All worksheets contain copyrighted work and are designed for use by individual teachers, tutors, and parents. Worksheets and/or questions may not be replicated or redistributed in any way outside HelpTeaching.com, regardless of intended usage, without explicit permission.

#

# Practice and Prepare for Math Tests . and Other Assessments

## Locator TestArithmetic Competency

NOTE: The scoring for the LOCATOR TEST does NOT work. After Discovery.com took over the scoring software from the University of Hawaii they lost all the keys in a server crash. Eventually the scoring keys will be reconstructed, but be aware that you will get a server error if you try to check your answers online.

Take the Locator Test . then —after you receive your results– use this guide to locate the specific skills you need to review by checking the topics you missed on the test:
[NOTE: Click on the Section Number (second column, below) for additional practice questions. Reinforcement/Review activities are linked in the third column (if available).]

Skill Area ( Review/Reinforcement )*

Whole Number Computation

Writing Decimals
Comparing Decimals
Multiplying Decimals

Dividing Decimals
Rounding Decimals

#33, 35
34, 36
37, 38
39, 40

* SKILL REVIEW — if available

## Practice Placement TestPre-Algebra

Take the Practice Placement Test . then —after you receive your results– use this guide to locate the specific skills you need to review by checking the topics you missed on the test:
[NOTE: Click on the Section Number (second column, below) for additional practice questions. Reinforcement/Review activities are linked in the third column (if available).]

Skill Area ( Review/Reinforcement )*

Whole Number Computation

Subtraction,
Multiplication
Changing Fractions to Decimals

Dividing and Rounding Decimals

#23 – 25, 27, 28
29

Percents
Problem Solving with Percents

* SKILL REVIEW — if available

Last Updated: 12 September ’99 at approximately 02:05 GMT

http://amby.com/tests/math/

#

# GMA Practice Items

There are several different types of IQ or general mental ability tests. In general they are trying to measure how quickly and accurately you can solve problems, to give an indication of raw intellect.

The most complex IQ test is a series of tests that can take several hours to complete and can have up to 16 subtests within it.

There are diagrammatic IQ tests which test your ability to spatially recognise patterns and rotate objects and there are more general problem solving IQ tests.

### General Mental Ability IQ Tests

There are general mental ability (GMA) IQ tests that measure your ability to quickly solve a variety of different problems from verbal, to numeric to diagrammatic.

## Sample and practice IQ items:

1. If Bob sold 15 apples in a working week, what is the average number of apples he sells each day?
2. “Pig is to pork” as “Cow is to _____”:
• Lamb
• Beef
• Stew
• Cattle
3. If it takes 2 hours to drive to City A and the city is 120km away, what speed was the vehicle travelling at?
4. If Sally sells more tickets than Betty and Betty sells more tickets than Jodie, who sells the most if we compare Sally and Jodie?
5. The words “inclusive” and “exclusive” have:
• The same meaning
• Different meanings
• Are the opposite in meaning
6. If you have a cube which is 5m x 5m x 5m, what is the cubic metres this container would hold?
7. The acronym RSVP originally came from the French term Répondez s’il vous plaît – True or False?
8. “Boat is to water” therefore “Plane is to _____”
• Fly
• Sky
• Float
• Air
9. The following series of numbers contains one number that does not fit the pattern set by the others. What number does not fit? 3, 5, 7, 11, 14, 17
10. The word PARTICULAR is the opposite of:
• Distinct
• Vague
• Exacting
• Fussy

#### Answers to the above IQ Ability Test:

1. 3 – there are 5 days in a working week, so you divide 15 by 5 = 3
2. Beef – Pig is the animal pork meat comes from so what meat comes from Cows – Beef
3. 60km per hour – Take the number of kms 120 and divide by the number of hours, then you get the kilometres per hour
4. Sally – Given Betty sells more than Jodie, and Sally sells more the Betty, therefore Sally must sell more than Jodie
5. These words have opposite meanings
6. 125 cubic metres – to work this out you multiple each dimension of the cube by the others. 5×5 = 25; 25*5=125
7. True
8. Air – Boats travel through the water and water goes through a boat’s engine, therefore what do planes travel through and what goes through the engine? The Air.
9. 14 does not fit, the others are prime numbers, but 14 is not.
10. Vague. Particular generally means to be quite specific and exact about what you want, therefore being vague would be the opposite.

### Sample Diagrammatic IQ Test Items

For each of the following diagrams, select the item below it which would complete the pattern:

#

## ONLINE APTITUDE TESTS

Generally, aptitude tests are administered at a test centre and are assessed under strict time conditions. The purpose of the tests is to assess your ability to solve difficult and complex problems. The tests themselves are usually multiple choice in nature. Although many people try to guess any questions they are not sure of the answer, the answer options are usually very close in nature. Therefore, the ability to guess accurately on a consistent basis is unlikely. Examples of aptitude tests include verbal reasoning and numerical reasoning.

Generally, aptitude tests are administered at a test centre and are assessed under strict time conditions. The purpose of the tests is to assess your ability to solve difficult and complex problems. The tests themselves are usually multiple choice in nature. Although many people try to guess any questions they are not sure of the answer, the answer options are usually very close in nature. Therefore, the ability to guess accurately on a consistent basis is unlikely. Examples of aptitude tests include verbal reasoning and numerical reasoning.

The good news about aptitude tests is that they have been designed so that you do not finish the entire test. There are plenty of questions with the exam and, whilst not impossible to fully complete the tests, it is unlikely that a candidate will complete them. Many test-takers panic when they see the number of tests in the exam, and as a result, they will start to get many of the questions wrong due to rushing. You should approach the tests in a composed manner and whilst speed is of the essence you should not detract from accuracy as you may lose marks for incorrect responses

## HOW YOUR TEST RESULTS ARE USED

Aptitude test results can be used in many different ways. They can be used solely as part of a selection process or they can be used as part of an entire assessment centre. Many test administrators will also check your scores across the mean average scores from your group. Other assessment mediums in which aptitude tests are used alongside include interviews, group discussions, in-tray exercises and group tasks.

## THE USE OF APTITUDE TESTS AS A SCREENING PROCESS

Aptitude tests are also used as an effective initial screening process, especially for more complex and technical posts such as banking where an ability to competently interpret numerical data is imperative. In this case you will normal find that you are required to take an online aptitude test and your scores will automatically be processed by the employer or test administrator to determine whether or not you will be invited to the next stage of the selection and assessment process.

When you purchase our Online Aptitude Tests suite you will get INSTANT access to 100s of different test questions ranging from Numerical Reasoning Tests through to Spatial Reasoning Tests. We frequently add new test questions to keep you fresh and challenged.

Get your ticket to our exclusive online Aptitude Tests suite suite NOW and you will receive:

• Check Letters Test 01
• Distance Number Test 01
• Electrical Comprehension Test
• English Language Test 01
• Fault Analysis Test
• Mechanical Comprehension Test 01
• Numerical Reasoning Test 01
• Numerical Reasoning Test 02
• Numerical Reasoning Test 03
• Numerical Reasoning Test 04
• Numerical Reasoning Test 05
• Numerical Reasoning Test 06
• Numerical Reasoning Test 07
• Numerical Reasoning Test 08
• Numerical Reasoning Test 09
• Numerical Reasoning Test 10
• Numerical Reasoning Test 11
• Numerical Reasoning Test 12
• Numerical Reasoning Test 13
• Numerical Reasoning Test 14
• Selecting The Odd One Out
• Spatial Reasoning Test 01
• Spatial Reasoning Test 02
• Spatial Reasoning Test 03
• Symbol Rotation Test 01

## ONLINE APTITUDE TESTS TIPS

It is advisable that you take along your own calculator for the tests as the administrator may provide one that you are not familiar with. Because time is of the essence it is important that you use a calculator you know you can use quickly and effectively.

You will find that some verbal reasoning tests require you to answer the questions as True, False or Cannot say based on the information provided. Many test takes get caught out with these tests as they sometimes base their answers on their ‘knowledge’ of a subject matter as opposed to answering the questions based solely on the information provided.

It is very important to understand that accuracy is more important than completing the test. Many employers or test administrators will deduct marks for incorrect answers. You need to work quickly but you should not sacrifice speed for accuracy or results.

• Understanding Information Test 01
• Understanding Information Test 02
• Understanding Information Test 03
• Understanding Information Test 04
• Understanding Information Test 05
• Understanding Information Test 06
• Understanding Information Test 07
• Understanding Information Test 08
• Verbal Comprehension Test 01
• Verbal Comprehension Test 02
• Verbal Reasoning Test 01
• Verbal Reasoning Test 02
• Verbal Reasoning Test 03
• Verbal Reasoning Test 04
• Visual Estimation Test 01
• Work Rate Test 01

#

# FREE PARCC practice tests and sample questions for Math and Language Arts. Includes technology-enhanced questions. Try it now!

PARCC is a registered trademark of PARCC, Inc. Lumos Learning, is not owned by or affiliated in any fashion with PARCC, Inc. Read More

PARCC is a registered trademark of PARCC, Inc. Lumos Learning, is not owned by or affiliated in any fashion with PARCC, Inc. the Partnership for the Assessment of Readiness for College and Careers, nor any state of the Union. Neither PARCC, Inc. nor The Partnership for the Assessment of Readiness for College and Careers, nor any member state has endorsed this product. No portion of any fees or charges paid for any products or services Lumos Learning offers will be paid or inure to the benefit of PARCC, Inc. or any state of the Union

SBAC is a copyright of The Regents of the University of California – Smarter Balanced Assessment Consortium, which is not aff. Read More

SBAC is a copyright of The Regents of the University of California – Smarter Balanced Assessment Consortium, which is not affiliated to Lumos Learning. The Regents of the University of California – Smarter Balanced Assessment Consortium, was not involved in the production of, and does not endorse these products or this site.

ACT Aspire is a registered trademark of ACT Aspire LLC. which is not affiliated to Lumos Learning. ACT Aspire LLC, was not. Read More

ACT Aspire is a registered trademark of ACT Aspire LLC. which is not affiliated to Lumos Learning. ACT Aspire LLC,was not involved in the production of, and does not endorse these products or this site.

Florida Department of Education is not affiliated to Lumos Learning. Florida department of education, was not involved in the. Read More

Florida Department of Education is not affiliated to Lumos Learning. Florida department of education, was not involved in the production of, and does not endorse these products or this site.

Indiana Department of Education is not affiliated to Lumos Learning. Indiana department of education, was not involved in the. Read More

Indiana Department of Education is not affiliated to Lumos Learning. Indiana department of education, was not involved in the production of, and does not endorse these products or this site.

Mississippi Department of Education is not affiliated to Lumos Learning. Mississippi department of education, was not involved. Read More

Mississippi Department of Education is not affiliated to Lumos Learning. Mississippi department of education, was not involved in the production of, and does not endorse these products or this site.

Ohio Department of Education is not affiliated to Lumos Learning. Ohio department of education, was not involved in the prod. Read More

Ohio Department of Education is not affiliated to Lumos Learning. Ohio department of education, was not involved in the production of, and does not endorse these products or this site.

Tennessee Department of Education is not affiliated to Lumos Learning. Tennessee department of education, was not involved. Read More

Tennessee Department of Education is not affiliated to Lumos Learning. Tennessee department of education, was not involved in the production of, and does not endorse these products or this site.

Georgia Department of Education is not affiliated to Lumos Learning. Georgia department of education, was not involved. Read More

Georgia Department of Education is not affiliated to Lumos Learning. Georgia department of education, was not involved in the production of, and does not endorse these products or this site.

Missouri Department of Education is not affiliated to Lumos Learning. Missouri department of education, was not involved. Read More

Missouri Department of Education is not affiliated to Lumos Learning. Missouri department of education, was not involved in the production of, and does not endorse these products or this site.

Louisiana Department of Education is not affiliated to Lumos Learning. Louisiana department of education, was not involved. Read More

Louisiana Department of Education is not affiliated to Lumos Learning. Louisiana department of education, was not involved in the production of, and does not endorse these products or this site.

#

# USATestprep, Inc.

### Teacher-developed

USATestprep was founded by two teachers who believe that web-based technology could improve student test performance and curriculum mastery.

### Curriculum Resources

USATestprep offers more than practice questions. It includes games, puzzles, videos, and enhanced technology activities – all aligned to your state’s standards.

### Benchmark Testing

Our diagnostic benchmark system provides a performance snapshot at the student, class, school, and district level.

## Getting Started

USATestprep is very user-friendly! Students and teachers can use the site effectively from the first day of purchase. We also offer a live online training session, as well as tutorial videos on every important aspect of our site.

#

# Telephone English

Resource type: Useful phrases, with audio
Level: Beginner

## Telephone English / Starting the callIdentifying yourself

Resource type: Useful phrases, with audio
Level: Beginner

## Telephone English / Starting the callIdentifying your company

Resource type: Useful phrases, with audio
Level: Beginner

## Telephone English / Starting the callAsking to be put through to the extension you need

Resource type: Useful phrases, with audio
Level: Beginner

## Telephone English / Starting the callSummary

Resource type: Useful phrases, with audio
Level: Beginner

## Telephone English / Starting the callGetting Through

Resource type: Useful phrases, with audio
Level: Beginner

## Telephone English / Starting the callGiving further information about the purpose of your call

Resource type: Useful phrases, with audio
Level: Beginner

## Telephone English / Starting the callExplaining where you are calling from

Resource type: Useful phrases, with audio
Level: Beginner

## Practical English: Hotel; Telephone English / Booking a hotel roomI d like to book a room please.

Resource type: Role-play exercise, with audio
Level: Upper-intermediate

## Practical English: Hotel; Telephone English / Telephone facilitiesHow do I get an outside line?

Resource type: Dialogue, with audio
Level: Pre-intermediate

## Practical English: Hotel; Telephone English / Telephone facilitiesHow do I get an outside line?

Resource type: Role-play exercise, with audio
Level: Upper-intermediate

## Practical English: Hotel; Telephone English / Room serviceI d like some breakfast, please.

Resource type: Dialogue, with audio
Level: Pre-intermediate

#

# Math Problems, Questions and Online Self Tests

Free online math problems, questions and self tests on precalculus topics. Answers and detailed solutions are provided.

## Math Problems and Questions

• Solve math problems (1) and the Solutions are provided.
• Numerical, Graphical and Analytical Math Problem Solving (1). The problem of maximizing the area of a rectangular garden is examined using three approaches: numerical, graphical and analytical. A discussion to compare the three methods is also presented.
• Linear Functions Problems with Solutions A set of problems involving linear functions, along with detailed solutions, are presented. The problems are designed with emphasis on the meaning of the slope and the y intercept.
• Math Problems and Solutions on Integers. Problems related to integer numbers are presented along with their solutions.
• Mixture Problems With Solutions. Mixture problems and their solutions are presented along with their solutions. Percentages are also used to solve these types of problems.
• Polynomial Problems with Solutions. Polynomial problems with detailed solutions.
• Write Rational Functions – Problems With Solutions. Write rational functions given their characteristics such as vertical asymptotes, horizontal asymptote, x intercepts, hole.
• Rate, Time Distance Problems With Solutions. The relationship between distance, rate (speed) and time Distance = time * rate is used to solve uniform motion problems. Detailed solutions to the problems are provided.
• Work Rate Problems with Solutions. A set of problems related to work and rate of work is presented with detailed solutions.
• Projectile Problems with Solutions. A tutorial on solving projectile problems. Detailed solutions to the problems are provided.
• Math Questions With Answers (1) and detailed explanations and solutions of these questions are also provided.
• Math Questions With Answers (2) and Solutions and explanations. A set of multiple choice math questions and their answers are presented. These questions have been designed to test for deep understanding of math concepts.
• Math Questions With Answers (3). Math questions on logarithmic and exponential expressions and equations, with answers.
• Math Questions With Answers (4). Math questions on solving equations and inequalities with absolute value. Equations with complex solutions are also included.
• Math Questions With Answers (5). Math questions on circles and distance between two points.
• Math Questions With Answers (6). Math questions on slopes and equations of lines.
• Math Questions With Answers (7). Math questions on how to find the domain of a function.
• Math Questions With Answers (8). Math questions on simplifying polynomials.
• Math Questions With Answers (9). Math questions on synthetic division of polynomials.
• Math Questions With Answers (10). Math questions on degree and multiplicity of zeros of polynomials.
• Math Questions With Answers (11). Math questions on factoring polynomials.
• Math Questions With Answers (12). Math questions on decomposition into partial fractions.
• Math Questions With Answers (13): Quadratic Functions. Math Questions with answers on finding maximum and minimum values, vertex, axis of symmetry, interval of increase and decrease and the range of quadratic functions.
• Percent Math Problems Several word problems on percentage with detailed solutions are presented.
• Percent Math Questions Several questions on percentages, with detailed solutions are presented.
• Solve Slope Problems and the Solutions are provided.
• Solve Line Problems and the Solutions are provided.
• Solve Exponential and Logarithm Problems and the Solutions are provided.
• Solve Distance Problems and the Solutions are provided.
• Questions on Functions and their Solutions are provided.
• Mathematical Induction – Problems With Solutions. Several problems, with detailed solutions, on mathematical induction are presented.

## Sequences

• Geometric Sequences Problems with Solutions. Problems and exercises involving geometric sequences, along with detailed solutions and answers, are presented.
• Arithmetic Sequences Problems with Solutions. Problems and exercises involving arithmetic sequences, along with detailed solutions and answers.

## Algebra, Equations and Inequalities

• Algebra Problems and their detailed solutions. You have the choice between a set of questions with their answers or a set of 50 questions in the applet to self test you background on algebra.
• Solve Quadratic Equations With Rational Expressions – Problems and detailed solutions provided. Solve a set of problems related to quadratic and rational equations. You have the choice between a set of 10 problems and 50 questions from an applet.
• Solving Linear Equations – Questions. Multiple choice questions on solving linear equations. Answers included.
• Equations And Inequalities with Absolute Value – Problems and their answers. A set of 10 multiple choice problems related to equations and inequalities with absolute value and their answers problems are presented. The same problems can also be solved as a self test using an applet.
• Polynomial and Rational Inequalities, questions and their answers. Questions on solving Polynomial and Rational Inequalities are presented. These may be used as a self test.

## Functions, Domain, Composition and Inverse

• Find the Domain of a Function – Problems with detailed solutions. A set of 10 problems, on finding the domain of a function, with their solutions are presented.
• Composition of Functions Questions with adetailed solutions. Questions, with their answers, on compositions of functions are presented. These questions may be used as a self test.
• Find Inverse Functions – Questions and their detailed solutions. Questions on how to find the inverse of linear, quadratic with restricted domain, logarithmic, exponential and rational, together with detailed solutions, are presented.
• Questions on one to one Functions. Several questions with detailed solutions as well as exercises with answers on how to prove that a given function is a one to one function.

## Logarithms

• Solve Exponential and Logarithmic Equations. questions with answers. Questions on solving exponential and logarithmic equations and ,indirectly, on all properties of exponential and logarithmic functions are presented. These questions may be used as a self test.

## Graphs of Functions

• Graphs of Functions – Questions and their answers. Given the equation of a function, identify a possible graph (among 4) corresponding to the given function. Algebraic functions including linear, square root, quadratic and absolute value functions are included.
• Graphs of Polynomial Functions – Questions with answers. Questions and their answers on graphs of polynomial functions are presented. These questions may be used as a self self test.
• Graphs of Rational Functions – Questions with answers. Questions, and their answers, on identifying graphs of rational functions are presented.
• Graphs of Logarithmic and Exponential Functions – Questions with answers. Questions, and their answers, on the graphs of Logarithmic and Exponential functions are presented. These may be used as a self test.

## Trigonometry

• Solve Trigonometric Equations – Problems with answers. 10 problems, with their answers, on solving trigonometric equations are presented here and more in the applet below.
• Graphs Trigonometric Functions – Questions with answers. A set of questions, with their answers, on identifying the graphs of trigonometric functions sin(x), cos(x), tan(x), sec(x), csc(x), cot(x) are presented. These may be used as a self test on the graphs of trigonometric functions.
• Find Values Of Trigonometric Functions – Questions with answers. A set of questions, with their answers, on finding exact values of trigonometric functions sin(x), cos(x), tan(x), sec(x), csc(x), cot(x) are presented.

## Unit Converion

• Convert Units of Lengths. A set of questions on how to convert from one unit of length to another: meters, kilometers, millimeters, centimeters, decimeters, feet, inches, yards, miles, nanometers and micrometers. Both metric and imperial units are used.
• Convert Units of Velocity. Questions, with answers, on how to convert from one unit of velocity (speed) to another. For the lengths, both metric and imperial units are used.

## Complex Numbers

• Questions on Complex Numbers with answers. The questions are about adding, multiplying and dividing complex as well as finding the complex conjugate.

#

# Printable Physics Worksheets, Tests, and Activities

Try physics tests on motion, energy, and forces. Take a quiz to test knowledge of electrical circuits using schematic symbols.

Worksheets labeled with are accessible to Pro subscribers only. Become a Subscriber to access hundreds of premium worksheets.

Don’t see a worksheet you need? Use our Test Maker to create your own printable that fits your needs. Browse physics questions or use our advanced search to find existing questions while filtering by grade levels and keywords. Customize your test further by creating your own assessment questions .

## High School and AP Physics

### Waves and Sound

Copyright Notice: All worksheets contain copyrighted work and are designed for use by individual teachers, tutors, and parents. Worksheets and/or questions may not be replicated or redistributed in any way outside HelpTeaching.com, regardless of intended usage, without explicit permission.

#

# Practice and Prepare for Math Tests . and Other Assessments

## Locator TestArithmetic Competency

NOTE: The scoring for the LOCATOR TEST does NOT work. After Discovery.com took over the scoring software from the University of Hawaii they lost all the keys in a server crash. Eventually the scoring keys will be reconstructed, but be aware that you will get a server error if you try to check your answers online.

Take the Locator Test . then —after you receive your results– use this guide to locate the specific skills you need to review by checking the topics you missed on the test:
[NOTE: Click on the Section Number (second column, below) for additional practice questions. Reinforcement/Review activities are linked in the third column (if available).]

Skill Area ( Review/Reinforcement )*

Whole Number Computation

Writing Decimals
Comparing Decimals
Multiplying Decimals

Dividing Decimals
Rounding Decimals

#33, 35
34, 36
37, 38
39, 40

* SKILL REVIEW — if available

## Practice Placement TestPre-Algebra

Take the Practice Placement Test . then —after you receive your results– use this guide to locate the specific skills you need to review by checking the topics you missed on the test:
[NOTE: Click on the Section Number (second column, below) for additional practice questions. Reinforcement/Review activities are linked in the third column (if available).]

Skill Area ( Review/Reinforcement )*

Whole Number Computation

Subtraction,
Multiplication
Changing Fractions to Decimals

Dividing and Rounding Decimals

#23 – 25, 27, 28
29

Percents
Problem Solving with Percents

* SKILL REVIEW — if available

Last Updated: 12 September ’99 at approximately 02:05 GMT

http://amby.com/tests/math/

#

# GMA Practice Items

There are several different types of IQ or general mental ability tests. In general they are trying to measure how quickly and accurately you can solve problems, to give an indication of raw intellect.

The most complex IQ test is a series of tests that can take several hours to complete and can have up to 16 subtests within it.

There are diagrammatic IQ tests which test your ability to spatially recognise patterns and rotate objects and there are more general problem solving IQ tests.

### General Mental Ability IQ Tests

There are general mental ability (GMA) IQ tests that measure your ability to quickly solve a variety of different problems from verbal, to numeric to diagrammatic.

## Sample and practice IQ items:

1. If Bob sold 15 apples in a working week, what is the average number of apples he sells each day?
2. “Pig is to pork” as “Cow is to _____”:
• Lamb
• Beef
• Stew
• Cattle
3. If it takes 2 hours to drive to City A and the city is 120km away, what speed was the vehicle travelling at?
4. If Sally sells more tickets than Betty and Betty sells more tickets than Jodie, who sells the most if we compare Sally and Jodie?
5. The words “inclusive” and “exclusive” have:
• The same meaning
• Different meanings
• Are the opposite in meaning
6. If you have a cube which is 5m x 5m x 5m, what is the cubic metres this container would hold?
7. The acronym RSVP originally came from the French term Répondez s’il vous plaît – True or False?
8. “Boat is to water” therefore “Plane is to _____”
• Fly
• Sky
• Float
• Air
9. The following series of numbers contains one number that does not fit the pattern set by the others. What number does not fit? 3, 5, 7, 11, 14, 17
10. The word PARTICULAR is the opposite of:
• Distinct
• Vague
• Exacting
• Fussy

#### Answers to the above IQ Ability Test:

1. 3 – there are 5 days in a working week, so you divide 15 by 5 = 3
2. Beef – Pig is the animal pork meat comes from so what meat comes from Cows – Beef
3. 60km per hour – Take the number of kms 120 and divide by the number of hours, then you get the kilometres per hour
4. Sally – Given Betty sells more than Jodie, and Sally sells more the Betty, therefore Sally must sell more than Jodie
5. These words have opposite meanings
6. 125 cubic metres – to work this out you multiple each dimension of the cube by the others. 5×5 = 25; 25*5=125
7. True
8. Air – Boats travel through the water and water goes through a boat’s engine, therefore what do planes travel through and what goes through the engine? The Air.
9. 14 does not fit, the others are prime numbers, but 14 is not.
10. Vague. Particular generally means to be quite specific and exact about what you want, therefore being vague would be the opposite.

### Sample Diagrammatic IQ Test Items

For each of the following diagrams, select the item below it which would complete the pattern:

#

## ONLINE APTITUDE TESTS

Generally, aptitude tests are administered at a test centre and are assessed under strict time conditions. The purpose of the tests is to assess your ability to solve difficult and complex problems. The tests themselves are usually multiple choice in nature. Although many people try to guess any questions they are not sure of the answer, the answer options are usually very close in nature. Therefore, the ability to guess accurately on a consistent basis is unlikely. Examples of aptitude tests include verbal reasoning and numerical reasoning.

Generally, aptitude tests are administered at a test centre and are assessed under strict time conditions. The purpose of the tests is to assess your ability to solve difficult and complex problems. The tests themselves are usually multiple choice in nature. Although many people try to guess any questions they are not sure of the answer, the answer options are usually very close in nature. Therefore, the ability to guess accurately on a consistent basis is unlikely. Examples of aptitude tests include verbal reasoning and numerical reasoning.

The good news about aptitude tests is that they have been designed so that you do not finish the entire test. There are plenty of questions with the exam and, whilst not impossible to fully complete the tests, it is unlikely that a candidate will complete them. Many test-takers panic when they see the number of tests in the exam, and as a result, they will start to get many of the questions wrong due to rushing. You should approach the tests in a composed manner and whilst speed is of the essence you should not detract from accuracy as you may lose marks for incorrect responses

## HOW YOUR TEST RESULTS ARE USED

Aptitude test results can be used in many different ways. They can be used solely as part of a selection process or they can be used as part of an entire assessment centre. Many test administrators will also check your scores across the mean average scores from your group. Other assessment mediums in which aptitude tests are used alongside include interviews, group discussions, in-tray exercises and group tasks.

## THE USE OF APTITUDE TESTS AS A SCREENING PROCESS

Aptitude tests are also used as an effective initial screening process, especially for more complex and technical posts such as banking where an ability to competently interpret numerical data is imperative. In this case you will normal find that you are required to take an online aptitude test and your scores will automatically be processed by the employer or test administrator to determine whether or not you will be invited to the next stage of the selection and assessment process.

When you purchase our Online Aptitude Tests suite you will get INSTANT access to 100s of different test questions ranging from Numerical Reasoning Tests through to Spatial Reasoning Tests. We frequently add new test questions to keep you fresh and challenged.

Get your ticket to our exclusive online Aptitude Tests suite suite NOW and you will receive:

• Check Letters Test 01
• Distance Number Test 01
• Electrical Comprehension Test
• English Language Test 01
• Fault Analysis Test
• Mechanical Comprehension Test 01
• Numerical Reasoning Test 01
• Numerical Reasoning Test 02
• Numerical Reasoning Test 03
• Numerical Reasoning Test 04
• Numerical Reasoning Test 05
• Numerical Reasoning Test 06
• Numerical Reasoning Test 07
• Numerical Reasoning Test 08
• Numerical Reasoning Test 09
• Numerical Reasoning Test 10
• Numerical Reasoning Test 11
• Numerical Reasoning Test 12
• Numerical Reasoning Test 13
• Numerical Reasoning Test 14
• Selecting The Odd One Out
• Spatial Reasoning Test 01
• Spatial Reasoning Test 02
• Spatial Reasoning Test 03
• Symbol Rotation Test 01

## ONLINE APTITUDE TESTS TIPS

It is advisable that you take along your own calculator for the tests as the administrator may provide one that you are not familiar with. Because time is of the essence it is important that you use a calculator you know you can use quickly and effectively.

You will find that some verbal reasoning tests require you to answer the questions as True, False or Cannot say based on the information provided. Many test takes get caught out with these tests as they sometimes base their answers on their ‘knowledge’ of a subject matter as opposed to answering the questions based solely on the information provided.

It is very important to understand that accuracy is more important than completing the test. Many employers or test administrators will deduct marks for incorrect answers. You need to work quickly but you should not sacrifice speed for accuracy or results.

• Understanding Information Test 01
• Understanding Information Test 02
• Understanding Information Test 03
• Understanding Information Test 04
• Understanding Information Test 05
• Understanding Information Test 06
• Understanding Information Test 07
• Understanding Information Test 08
• Verbal Comprehension Test 01
• Verbal Comprehension Test 02
• Verbal Reasoning Test 01
• Verbal Reasoning Test 02
• Verbal Reasoning Test 03
• Verbal Reasoning Test 04
• Visual Estimation Test 01
• Work Rate Test 01

#

# FREE PARCC practice tests and sample questions for Math and Language Arts. Includes technology-enhanced questions. Try it now!

PARCC is a registered trademark of PARCC, Inc. Lumos Learning, is not owned by or affiliated in any fashion with PARCC, Inc. Read More

PARCC is a registered trademark of PARCC, Inc. Lumos Learning, is not owned by or affiliated in any fashion with PARCC, Inc. the Partnership for the Assessment of Readiness for College and Careers, nor any state of the Union. Neither PARCC, Inc. nor The Partnership for the Assessment of Readiness for College and Careers, nor any member state has endorsed this product. No portion of any fees or charges paid for any products or services Lumos Learning offers will be paid or inure to the benefit of PARCC, Inc. or any state of the Union

SBAC is a copyright of The Regents of the University of California – Smarter Balanced Assessment Consortium, which is not aff. Read More

SBAC is a copyright of The Regents of the University of California – Smarter Balanced Assessment Consortium, which is not affiliated to Lumos Learning. The Regents of the University of California – Smarter Balanced Assessment Consortium, was not involved in the production of, and does not endorse these products or this site.

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Louisiana Department of Education is not affiliated to Lumos Learning. Louisiana department of education, was not involved in the production of, and does not endorse these products or this site.

#

# USATestprep, Inc.

### Teacher-developed

USATestprep was founded by two teachers who believe that web-based technology could improve student test performance and curriculum mastery.

### Curriculum Resources

USATestprep offers more than practice questions. It includes games, puzzles, videos, and enhanced technology activities – all aligned to your state’s standards.

### Benchmark Testing

Our diagnostic benchmark system provides a performance snapshot at the student, class, school, and district level.

## Getting Started

USATestprep is very user-friendly! Students and teachers can use the site effectively from the first day of purchase. We also offer a live online training session, as well as tutorial videos on every important aspect of our site.

#

Most states have, or are developing, tests to assess their students� proficiency in state frameworks of curriculum. Many of these states are including students with limited English proficiency in this assessment process, but a significant number of LEP students have difficulty passing these standardized tests. In this website, Longman is pleased to provide additional practice for LEP students by offering sample standardized reading tests for grades 1 to 8. The reading tests provided here are a combination of multiple choice, short-answer, and long-answer questions. The short-answer and long-answer questions are designed to have students process the information in the passage, analyze it, and organize it for the answer. In this way, these practice questions test students� analytical abilities, not just comprehension.

Multiple-Choice Questions
The multiple-choice questions have four possible answers labeled A, B, C, D or F, G, H, I. The students will choose one answer per question. Each question correctly answered is given one point.

The short-answer questions have a Read, Think, and Explain symbol next to them. Students should spend about three to five minutes answering each short-answer question on the lines provided. Each question answered correctly is given up to two points; partial credit is given. There can be some variation in the answers.

The long-answer questions have a Read, Think, and Explain symbol with more lines next to them. Students should spend about seven to ten minutes answering each long-answer question on the lines provided. Each question correctly answered is given up to four points and partial credit is given. There can be some variation in the answers.

The Practice Reading Tests in this book are scored on a point system that differs slightly by grade level. Grades 1 and 2 have fewer questions and no short- or long-answer questions. Grade 1 is based on a scoring rage of 0 6 points. Grade 2 is based on a scoring range of 0 12 points. Grades 3 through 8 are based on a scoring range of 0 22 points.

Using This Test Prep Site

This site has a practice test for each grade. Each test has a contents page, two reading passages, and question and answer sections.

To answer multiple choice questions, students click on the button next to their answer choice. For the short-answer and long-answer questions, students can key their answer directly into the essay box provided under the question.

When a student has completed the sample test, he or she can click on the Submit button. This will produce a screen showing the student’s answers (multiple choice answers and the written answers), which can then be printed and given to the teacher for grading.

How to Score the Practice Reading Test

Multiple-Choice Questions
Each multiple-choice question is worth 1 point.

Short-answer Read, Think, and Explain questions are worth up to two points. There may be more than one acceptable answer for a short-answer question. (Sample answers are given for each question.) Partial credit can be given for answers that are correct, but incomplete.

2 points The answer shows that the student understands what the question is asking. The response is both accurate and complete. The student has supported the answer with information and/or examples from the passage, as asked for in the question. The answer must be based on the correct passage.

1 point
The answer shows that the student understood or responded to only part of what the question asked. The information in the answer may be correct and based on the passage, but may not be clearly written, or exact enough. More supporting information and/or examples may be needed, as asked for in the question.

0 points The answer is incorrect or not based upon the passage, or the student gives no response.

Long-answer Read, Think, and Explain questions are worth up to four points. There may be more than one acceptable answer for a long-answer question. (Sample answers are given for each question.) Partial credit can be given for answers that are correct, but incomplete.

4 points The answer shows that the student has a thorough understanding of what the question asks. The response is both accurate and complete. The student has supported the answer with information and/or examples from the passage, as asked for in the question. The answer must be based on the correct passage.

3 points The answer shows that the student has a complete understanding of what the question asks. The information in the answer is correct, but more supporting information and/or examples based on the passage are needed.

2 points The answer shows that the student understood or responded to only part of what the question asked. The information in the answer may be correct and based on the passage, but may not be clearly written, or exact enough. More supporting information and/or examples may be needed.

1 point The answer shows that the student has little understanding of what the question has asked. The answer may be incomplete, may have several mistakes or inaccuracies, and may not fulfill the task required by the question.

0 points The answer is incorrect or not based upon the passage, or the student gives no response.

Tips for Students Taking a Reading Test

• There are two kinds of questions in the FCAT: multiple-choice and Read, Think, and Explain questions.
• Take 5 minutes to write an answer for the short Read, Think, and Explain questions. Take 10 minutes to answer the long ones.
• Be sure to read all directions carefully. If you do not understand directions, ask your teacher for help.
• It is normal to be nervous when you take a test. Try to relax and think about the readings.
• Read the whole passage once before you answer any of the questions.
• You are allowed to go back and read the passages as many times as you want to. Read them carefully.
• Be careful not to leave marks around the answer bubbles. Try to fill them in neatly.
• When you answer the Read, Think, and Explain questions, think and organize what you want to say before writing down your ideas.
• After you read the passage, first answer the questions you know. Skip the ones that are too hard and go back later.
• Do not worry if you do not know the answers to questions. Keep going! Partial credit is given for Read, Think, and Explain questions, so write whatever you know.
• If there is time, go back and make sure that you are giving the best possible answer for each question.

#

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# Sedans

Long before the days of SUVs, minivans and plush crew-cab pickups, the three most popular types of vehicles were coupes, sedans and station wagons. For those who needed seating for up to five, the sedan was the vehicle type of choice, leaving rakish coupes to swanky singletons and wagons to large families. Even now with all those other vehicle types available, the sedan remains a hugely popular choice thanks to its combination of practicality, manageable size, comfort and efficiency.

Sedans have long been available in small, medium and large sizes. But a big difference between yesteryear and today is that sedans not only come in various sizes but also in a large variety of flavors. The latter range from subcompacts with luxury car features (such as heated seats and navigation) to supersport sedans capable of blistering performance numbers that you might more associate with an exotic sports car.

The current menu of sedans includes subcompacts such as the Ford Fiesta and Nissan Versa, while compact stalwarts include the Honda Civic and Mazda 3. The popular midsize class counts the Ford Fusion and Kia Optima among its choices, while the full-size segment includes the Chevrolet Impala and Toyota Avalon. Of course, premium brands such as BMW and Mercedes-Benz offer luxurious sedans boasting impressive performance. In short, there’s something for all sedan shoppers here, whether they’re looking for a basic commuter car or the landlocked equivalent of a private business jet.

Long before the days of SUVs, minivans and plush crew-cab pickups, the three most popular types of vehicles were coupes, sedans and station wagons. For those who needed seating for up to five, the sedan was the vehicle type of choice, leaving rakish coupes to swanky singletons and wagons to large families. Even now with all those other vehicle types available, the sedan remains a hugely popular choice thanks to its combination of practicality, manageable size, comfort and efficiency.

Sedans have long been available in small, medium and large sizes. But a big difference between yesteryear and today is that sedans not only come in various sizes but also in a large variety of flavors. The latter range from subcompacts with luxury car features (such as heated seats and navigation) to supersport sedans capable of blistering performance numbers that you might more associate with an exotic sports car.

The current menu of sedans includes subcompacts such as the Ford Fiesta and Nissan Versa, while compact stalwarts include the Honda Civic and Mazda 3. The popular midsize class counts the Ford Fusion and Kia Optima among its choices, while the full-size segment includes the Chevrolet Impala and Toyota Avalon. Of course, premium brands such as BMW and Mercedes-Benz offer luxurious sedans boasting impressive performance. In short, there’s something for all sedan shoppers here, whether they’re looking for a basic commuter car or the landlocked equivalent of a private business jet.

#

# SAT Grammar

There are 49 grammar questions on the SAT writing section. Grammar accounts for over two thirds of the marks on this section. Questions are of 3 types:

• Identification of sentence errors
• Sentence correction (improving sentences)
• Editing in context (improving paragraphs)

## Practice SAT Grammar

It contains fifty rules that are essential knowledge for sentence correction, identification of sentence errors and editing in context questions that you will encounter on the SAT.

## Directions

Select a question type to view the directions:

Identification of sentence errors

Read each sentence carefully. If you find an error, select the underlined part that is incorrect. Some sentences contain no error, in which case choose answer E.

If you are interestedA in learning moreB details of chemical reactions, oneC should consult an advancedD textbook. No errorE .

Part of the given sentence is underlined. Choose the answer choice which is the best version of the underlined part. Choice A is unchanged. Select the version which is the most effective expression – correct grammar, clear and unambiguous.

Discount coupons will be available from tomorrow, they can be collected during office hours.

Editing in context

Each passage is a draft of a student’s essay. Read the essay and answer the questions paying attention to correct grammar and effective expression. Some questions require you to consider the structure and development of the entire essay.

* SAT is a registered trademark of the College Board, which was not involved in the production of, and does not endorse, this product.

All content of site and practice tests copyright 2016 Study Mode, LLC.

#

# stress testing

Stress testing is the process of determining the ability of a computer, network. program or device to maintain a certain level of effectiveness under unfavorable conditions. The process can involve quantitative tests done in a lab, such as measuring the frequency of errors or system crash es. The term also refers to qualitative evaluation of factors such as availability or resistance to denial-of-service (DoS) attacks. Stress testing is often done in conjunction with the more general process of performance testing .

Understand respected criteria for quality assurance, tracking changes, and see a review of 5 great tools for developers.

By submitting your personal information, you agree that TechTarget and its partners may contact you regarding relevant content, products and special offers.

When conducting a stress test, an adverse environment is deliberately created and maintained. Actions involved may include:

• Running several resource-intensive applications in a single computer at the same time
• Attempting to hack into a computer and use it as a zombie to spread spam
• Flooding a server with useless e-mail messages
• Making numerous, concurrent attempts to access a single Web site
• Attempting to infect a system with virus es, Trojans, spyware or other malware .

The adverse condition is progressively and methodically worsened, until the performance level falls below a certain minimum or the system fails altogether. In order to obtain the most meaningful results, individual stressors are varied one by one, leaving the others constant. This makes it possible to pinpoint specific weaknesses and vulnerabilities. For example, a computer may have adequate memory but inadequate security. Such a system, while able to run numerous applications simultaneously without trouble, may crash easily when attacked by a hacker intent on shutting it down.

Stress testing can be time-consuming and tedious. Nevertheless, some test personnel enjoy watching a system break down under increasingly intense attacks or stress factors. Stress testing can provide a means to measure graceful degradation. the ability of a system to maintain limited functionality even when a large part of it has been compromised.

Once the testing process has caused a failure, the final component of stress testing is determining how well or how fast a system can recover after an adverse event.

This was last updated in June 2007

#### Related Terms

integration testing or integration and testing (I ?>

#

# Math Problems, Questions and Online Self Tests

Free online math problems, questions and self tests on precalculus topics. Answers and detailed solutions are provided.

## Math Problems and Questions

• Solve math problems (1) and the Solutions are provided.
• Numerical, Graphical and Analytical Math Problem Solving (1). The problem of maximizing the area of a rectangular garden is examined using three approaches: numerical, graphical and analytical. A discussion to compare the three methods is also presented.
• Linear Functions Problems with Solutions A set of problems involving linear functions, along with detailed solutions, are presented. The problems are designed with emphasis on the meaning of the slope and the y intercept.
• Math Problems and Solutions on Integers. Problems related to integer numbers are presented along with their solutions.
• Mixture Problems With Solutions. Mixture problems and their solutions are presented along with their solutions. Percentages are also used to solve these types of problems.
• Polynomial Problems with Solutions. Polynomial problems with detailed solutions.
• Write Rational Functions – Problems With Solutions. Write rational functions given their characteristics such as vertical asymptotes, horizontal asymptote, x intercepts, hole.
• Rate, Time Distance Problems With Solutions. The relationship between distance, rate (speed) and time Distance = time * rate is used to solve uniform motion problems. Detailed solutions to the problems are provided.
• Work Rate Problems with Solutions. A set of problems related to work and rate of work is presented with detailed solutions.
• Projectile Problems with Solutions. A tutorial on solving projectile problems. Detailed solutions to the problems are provided.
• Math Questions With Answers (1) and detailed explanations and solutions of these questions are also provided.
• Math Questions With Answers (2) and Solutions and explanations. A set of multiple choice math questions and their answers are presented. These questions have been designed to test for deep understanding of math concepts.
• Math Questions With Answers (3). Math questions on logarithmic and exponential expressions and equations, with answers.
• Math Questions With Answers (4). Math questions on solving equations and inequalities with absolute value. Equations with complex solutions are also included.
• Math Questions With Answers (5). Math questions on circles and distance between two points.
• Math Questions With Answers (6). Math questions on slopes and equations of lines.
• Math Questions With Answers (7). Math questions on how to find the domain of a function.
• Math Questions With Answers (8). Math questions on simplifying polynomials.
• Math Questions With Answers (9). Math questions on synthetic division of polynomials.
• Math Questions With Answers (10). Math questions on degree and multiplicity of zeros of polynomials.
• Math Questions With Answers (11). Math questions on factoring polynomials.
• Math Questions With Answers (12). Math questions on decomposition into partial fractions.
• Math Questions With Answers (13): Quadratic Functions. Math Questions with answers on finding maximum and minimum values, vertex, axis of symmetry, interval of increase and decrease and the range of quadratic functions.
• Percent Math Problems Several word problems on percentage with detailed solutions are presented.
• Percent Math Questions Several questions on percentages, with detailed solutions are presented.
• Solve Slope Problems and the Solutions are provided.
• Solve Line Problems and the Solutions are provided.
• Solve Exponential and Logarithm Problems and the Solutions are provided.
• Solve Distance Problems and the Solutions are provided.
• Questions on Functions and their Solutions are provided.
• Mathematical Induction – Problems With Solutions. Several problems, with detailed solutions, on mathematical induction are presented.

## Sequences

• Geometric Sequences Problems with Solutions. Problems and exercises involving geometric sequences, along with detailed solutions and answers, are presented.
• Arithmetic Sequences Problems with Solutions. Problems and exercises involving arithmetic sequences, along with detailed solutions and answers.

## Algebra, Equations and Inequalities

• Algebra Problems and their detailed solutions. You have the choice between a set of questions with their answers or a set of 50 questions in the applet to self test you background on algebra.
• Solve Quadratic Equations With Rational Expressions – Problems and detailed solutions provided. Solve a set of problems related to quadratic and rational equations. You have the choice between a set of 10 problems and 50 questions from an applet.
• Solving Linear Equations – Questions. Multiple choice questions on solving linear equations. Answers included.
• Equations And Inequalities with Absolute Value – Problems and their answers. A set of 10 multiple choice problems related to equations and inequalities with absolute value and their answers problems are presented. The same problems can also be solved as a self test using an applet.
• Polynomial and Rational Inequalities, questions and their answers. Questions on solving Polynomial and Rational Inequalities are presented. These may be used as a self test.

## Functions, Domain, Composition and Inverse

• Find the Domain of a Function – Problems with detailed solutions. A set of 10 problems, on finding the domain of a function, with their solutions are presented.
• Composition of Functions Questions with adetailed solutions. Questions, with their answers, on compositions of functions are presented. These questions may be used as a self test.
• Find Inverse Functions – Questions and their detailed solutions. Questions on how to find the inverse of linear, quadratic with restricted domain, logarithmic, exponential and rational, together with detailed solutions, are presented.
• Questions on one to one Functions. Several questions with detailed solutions as well as exercises with answers on how to prove that a given function is a one to one function.

## Logarithms

• Solve Exponential and Logarithmic Equations. questions with answers. Questions on solving exponential and logarithmic equations and ,indirectly, on all properties of exponential and logarithmic functions are presented. These questions may be used as a self test.

## Graphs of Functions

• Graphs of Functions – Questions and their answers. Given the equation of a function, identify a possible graph (among 4) corresponding to the given function. Algebraic functions including linear, square root, quadratic and absolute value functions are included.
• Graphs of Polynomial Functions – Questions with answers. Questions and their answers on graphs of polynomial functions are presented. These questions may be used as a self self test.
• Graphs of Rational Functions – Questions with answers. Questions, and their answers, on identifying graphs of rational functions are presented.
• Graphs of Logarithmic and Exponential Functions – Questions with answers. Questions, and their answers, on the graphs of Logarithmic and Exponential functions are presented. These may be used as a self test.

## Trigonometry

• Solve Trigonometric Equations – Problems with answers. 10 problems, with their answers, on solving trigonometric equations are presented here and more in the applet below.
• Graphs Trigonometric Functions – Questions with answers. A set of questions, with their answers, on identifying the graphs of trigonometric functions sin(x), cos(x), tan(x), sec(x), csc(x), cot(x) are presented. These may be used as a self test on the graphs of trigonometric functions.
• Find Values Of Trigonometric Functions – Questions with answers. A set of questions, with their answers, on finding exact values of trigonometric functions sin(x), cos(x), tan(x), sec(x), csc(x), cot(x) are presented.

## Unit Converion

• Convert Units of Lengths. A set of questions on how to convert from one unit of length to another: meters, kilometers, millimeters, centimeters, decimeters, feet, inches, yards, miles, nanometers and micrometers. Both metric and imperial units are used.
• Convert Units of Velocity. Questions, with answers, on how to convert from one unit of velocity (speed) to another. For the lengths, both metric and imperial units are used.

## Complex Numbers

• Questions on Complex Numbers with answers. The questions are about adding, multiplying and dividing complex as well as finding the complex conjugate.

#

# Printable Physics Worksheets, Tests, and Activities

Try physics tests on motion, energy, and forces. Take a quiz to test knowledge of electrical circuits using schematic symbols.

Worksheets labeled with are accessible to Pro subscribers only. Become a Subscriber to access hundreds of premium worksheets.

Don’t see a worksheet you need? Use our Test Maker to create your own printable that fits your needs. Browse physics questions or use our advanced search to find existing questions while filtering by grade levels and keywords. Customize your test further by creating your own assessment questions .

## High School and AP Physics

### Waves and Sound

Copyright Notice: All worksheets contain copyrighted work and are designed for use by individual teachers, tutors, and parents. Worksheets and/or questions may not be replicated or redistributed in any way outside HelpTeaching.com, regardless of intended usage, without explicit permission.

#

# Practice and Prepare for Math Tests . and Other Assessments

## Locator TestArithmetic Competency

NOTE: The scoring for the LOCATOR TEST does NOT work. After Discovery.com took over the scoring software from the University of Hawaii they lost all the keys in a server crash. Eventually the scoring keys will be reconstructed, but be aware that you will get a server error if you try to check your answers online.

Take the Locator Test . then —after you receive your results– use this guide to locate the specific skills you need to review by checking the topics you missed on the test:
[NOTE: Click on the Section Number (second column, below) for additional practice questions. Reinforcement/Review activities are linked in the third column (if available).]

Skill Area ( Review/Reinforcement )*

Whole Number Computation

Writing Decimals
Comparing Decimals
Multiplying Decimals

Dividing Decimals
Rounding Decimals

#33, 35
34, 36
37, 38
39, 40

* SKILL REVIEW — if available

## Practice Placement TestPre-Algebra

Take the Practice Placement Test . then —after you receive your results– use this guide to locate the specific skills you need to review by checking the topics you missed on the test:
[NOTE: Click on the Section Number (second column, below) for additional practice questions. Reinforcement/Review activities are linked in the third column (if available).]

Skill Area ( Review/Reinforcement )*

Whole Number Computation

Subtraction,
Multiplication
Changing Fractions to Decimals

Dividing and Rounding Decimals

#23 – 25, 27, 28
29

Percents
Problem Solving with Percents

* SKILL REVIEW — if available

Last Updated: 12 September ’99 at approximately 02:05 GMT

http://amby.com/tests/math/

## Mold Inspections – Lab Tests, Inc, San Diego, Calif #san #diego #mold #testing, #san #diego #mold #inspection, #san #diego #lab #tests

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MOLD INSPECTION LAB TESTS in San Diego, California

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Beware of Mold Inspection Companies that also do Mold Remediation Repairs. Their testing is designed to offer a Free Inspection, but drive up the cost through Mold Remediation. Ask questions, remember nothing is FREE! Use an unbiased Certified Mold Inspector.

Hi, I’m William O’Gorman, Owner of Mold Inspections and Lab Tests in San Diego, Calif. When someone calls me they think that they may have a unique mold problem and they don’t know where to start. The first thing is we have to determine if you do indeed have a mold problem or water damage problem and then we can start from there.

• Tenants Rights – There is help. A new law went into effect in 2016 that helps protect a tenant from a landlord who is unresponsive or does shoddy work on a potential mold or water intrusion problem. The Code Enforcement Department in your city is mandated that when they receive a complaint from a tenant, they will send a Code Enforcement Officer to their home to evaluate and document their complaints. If the Code Enforcement Officer believes their complaints have merit, the next step is that a letter of a Code Compliance will be sent to their landlord, giving the landlord 30 days to address all of the complaints or they will face a fine of \$1,000 to \$,2500 a day for each day past 30 days. There are no fees for this service.
• Landlord Rights – You have the right, within 30 days from the date of the letter, to address the complaints and have them certified. There is help. I know what Code Enforcement needs to close their file. I have helped landlords through this process. Please call and have your Code Enforcement letter in hand.
• Home sellers – Doing a pre-sale home mold inspection would be a wise idea. When it comes to detected mold and water problems, it generally happens near the end of the escrow and there may not be enough time to correct the problem. The deal may fall apart and then you still have to fix the problem for the next buyer, and who knows when they may come along? It’s good insurance to have a pre-sale mold inspection.
• Home Buyers – You only have one shot to find out potential problems while you are in escrow. When I walk into a home for the inspection, I have the attitude that someone is hiding something from my customer. I have thousands of mold inspections under my belt, and I have made my customers thousands of dollars. If you are buying a bank-owned house, you have to remember that the bank has nothing to disclose and also the previous owner had no money to fix any mold or water problems. I have a nice system for this and with the proper documentation in your hands, we can get all of these problems fixed or the costs deducted from the sale. Don’t be fooled when the bank says, It’s an as-is sale. It’s an as-is sale when they have the money in their hands. If your deal falls through for any reason, then the bank has documentation that they have to disclose to the next buyer that may be a year down the road. My system works. That’s why I am used by hundreds of realtors in San Diego County.
• Realtors – What I know about this mold business is that I would not buy a shack in this state without the proper inspections. The buyer is relying on you to guide them through the biggest purchase of their life. When a buyer moves into their new home and they start finding major problems that could have been detected by proper inspections, the first person they want to sue is the realtor. You want to do the right thing for your customer and you. Our lab report documentation will help protect you at the close of escrow.
• Homeowners – If you or a family member has health concerns, mold spores may be the problem. There are many conditions associated with mold. We have to determine what types of mold we are dealing with, and you may have to go to a doctor who specializes in mold. A home inspection and air quality test may help you identify the problem or eliminate it. I have taken over 25,000 lab samples and completed over 7,500 home inspections, so you know you are in good hands.
• Prices – I purchase, in advance, 1,000 prepaid lab tests and by doing this, I receive a big discount and I pass these savings on to my customers. In some cases, we may need more than two tests. I would rather you over-test than under-test. I do not make extra money on the extra test. Home inspection and two free lab tests are \$239. Any additional tests if we need them are \$25 extra per test.

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# GMA Practice Items

There are several different types of IQ or general mental ability tests. In general they are trying to measure how quickly and accurately you can solve problems, to give an indication of raw intellect.

The most complex IQ test is a series of tests that can take several hours to complete and can have up to 16 subtests within it.

There are diagrammatic IQ tests which test your ability to spatially recognise patterns and rotate objects and there are more general problem solving IQ tests.

### General Mental Ability IQ Tests

There are general mental ability (GMA) IQ tests that measure your ability to quickly solve a variety of different problems from verbal, to numeric to diagrammatic.

## Sample and practice IQ items:

1. If Bob sold 15 apples in a working week, what is the average number of apples he sells each day?
2. “Pig is to pork” as “Cow is to _____”:
• Lamb
• Beef
• Stew
• Cattle
3. If it takes 2 hours to drive to City A and the city is 120km away, what speed was the vehicle travelling at?
4. If Sally sells more tickets than Betty and Betty sells more tickets than Jodie, who sells the most if we compare Sally and Jodie?
5. The words “inclusive” and “exclusive” have:
• The same meaning
• Different meanings
• Are the opposite in meaning
6. If you have a cube which is 5m x 5m x 5m, what is the cubic metres this container would hold?
7. The acronym RSVP originally came from the French term Répondez s’il vous plaît – True or False?
8. “Boat is to water” therefore “Plane is to _____”
• Fly
• Sky
• Float
• Air
9. The following series of numbers contains one number that does not fit the pattern set by the others. What number does not fit? 3, 5, 7, 11, 14, 17
10. The word PARTICULAR is the opposite of:
• Distinct
• Vague
• Exacting
• Fussy

#### Answers to the above IQ Ability Test:

1. 3 – there are 5 days in a working week, so you divide 15 by 5 = 3
2. Beef – Pig is the animal pork meat comes from so what meat comes from Cows – Beef
3. 60km per hour – Take the number of kms 120 and divide by the number of hours, then you get the kilometres per hour
4. Sally – Given Betty sells more than Jodie, and Sally sells more the Betty, therefore Sally must sell more than Jodie
5. These words have opposite meanings
6. 125 cubic metres – to work this out you multiple each dimension of the cube by the others. 5×5 = 25; 25*5=125
7. True
8. Air – Boats travel through the water and water goes through a boat’s engine, therefore what do planes travel through and what goes through the engine? The Air.
9. 14 does not fit, the others are prime numbers, but 14 is not.
10. Vague. Particular generally means to be quite specific and exact about what you want, therefore being vague would be the opposite.

### Sample Diagrammatic IQ Test Items

For each of the following diagrams, select the item below it which would complete the pattern:

#

# FREE PARCC practice tests and sample questions for Math and Language Arts. Includes technology-enhanced questions. Try it now!

PARCC is a registered trademark of PARCC, Inc. Lumos Learning, is not owned by or affiliated in any fashion with PARCC, Inc. Read More

PARCC is a registered trademark of PARCC, Inc. Lumos Learning, is not owned by or affiliated in any fashion with PARCC, Inc. the Partnership for the Assessment of Readiness for College and Careers, nor any state of the Union. Neither PARCC, Inc. nor The Partnership for the Assessment of Readiness for College and Careers, nor any member state has endorsed this product. No portion of any fees or charges paid for any products or services Lumos Learning offers will be paid or inure to the benefit of PARCC, Inc. or any state of the Union

SBAC is a copyright of The Regents of the University of California – Smarter Balanced Assessment Consortium, which is not aff. Read More

SBAC is a copyright of The Regents of the University of California – Smarter Balanced Assessment Consortium, which is not affiliated to Lumos Learning. The Regents of the University of California – Smarter Balanced Assessment Consortium, was not involved in the production of, and does not endorse these products or this site.

ACT Aspire is a registered trademark of ACT Aspire LLC. which is not affiliated to Lumos Learning. ACT Aspire LLC, was not. Read More

ACT Aspire is a registered trademark of ACT Aspire LLC. which is not affiliated to Lumos Learning. ACT Aspire LLC,was not involved in the production of, and does not endorse these products or this site.

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Florida Department of Education is not affiliated to Lumos Learning. Florida department of education, was not involved in the production of, and does not endorse these products or this site.

Indiana Department of Education is not affiliated to Lumos Learning. Indiana department of education, was not involved in the. Read More

Indiana Department of Education is not affiliated to Lumos Learning. Indiana department of education, was not involved in the production of, and does not endorse these products or this site.

Mississippi Department of Education is not affiliated to Lumos Learning. Mississippi department of education, was not involved. Read More

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Ohio Department of Education is not affiliated to Lumos Learning. Ohio department of education, was not involved in the prod. Read More

Ohio Department of Education is not affiliated to Lumos Learning. Ohio department of education, was not involved in the production of, and does not endorse these products or this site.

Tennessee Department of Education is not affiliated to Lumos Learning. Tennessee department of education, was not involved. Read More

Tennessee Department of Education is not affiliated to Lumos Learning. Tennessee department of education, was not involved in the production of, and does not endorse these products or this site.

Georgia Department of Education is not affiliated to Lumos Learning. Georgia department of education, was not involved. Read More

Georgia Department of Education is not affiliated to Lumos Learning. Georgia department of education, was not involved in the production of, and does not endorse these products or this site.

Missouri Department of Education is not affiliated to Lumos Learning. Missouri department of education, was not involved. Read More

Missouri Department of Education is not affiliated to Lumos Learning. Missouri department of education, was not involved in the production of, and does not endorse these products or this site.

Louisiana Department of Education is not affiliated to Lumos Learning. Louisiana department of education, was not involved. Read More

Louisiana Department of Education is not affiliated to Lumos Learning. Louisiana department of education, was not involved in the production of, and does not endorse these products or this site.

#

## ONLINE APTITUDE TESTS

Generally, aptitude tests are administered at a test centre and are assessed under strict time conditions. The purpose of the tests is to assess your ability to solve difficult and complex problems. The tests themselves are usually multiple choice in nature. Although many people try to guess any questions they are not sure of the answer, the answer options are usually very close in nature. Therefore, the ability to guess accurately on a consistent basis is unlikely. Examples of aptitude tests include verbal reasoning and numerical reasoning.

Generally, aptitude tests are administered at a test centre and are assessed under strict time conditions. The purpose of the tests is to assess your ability to solve difficult and complex problems. The tests themselves are usually multiple choice in nature. Although many people try to guess any questions they are not sure of the answer, the answer options are usually very close in nature. Therefore, the ability to guess accurately on a consistent basis is unlikely. Examples of aptitude tests include verbal reasoning and numerical reasoning.

The good news about aptitude tests is that they have been designed so that you do not finish the entire test. There are plenty of questions with the exam and, whilst not impossible to fully complete the tests, it is unlikely that a candidate will complete them. Many test-takers panic when they see the number of tests in the exam, and as a result, they will start to get many of the questions wrong due to rushing. You should approach the tests in a composed manner and whilst speed is of the essence you should not detract from accuracy as you may lose marks for incorrect responses

## HOW YOUR TEST RESULTS ARE USED

Aptitude test results can be used in many different ways. They can be used solely as part of a selection process or they can be used as part of an entire assessment centre. Many test administrators will also check your scores across the mean average scores from your group. Other assessment mediums in which aptitude tests are used alongside include interviews, group discussions, in-tray exercises and group tasks.

## THE USE OF APTITUDE TESTS AS A SCREENING PROCESS

Aptitude tests are also used as an effective initial screening process, especially for more complex and technical posts such as banking where an ability to competently interpret numerical data is imperative. In this case you will normal find that you are required to take an online aptitude test and your scores will automatically be processed by the employer or test administrator to determine whether or not you will be invited to the next stage of the selection and assessment process.

When you purchase our Online Aptitude Tests suite you will get INSTANT access to 100s of different test questions ranging from Numerical Reasoning Tests through to Spatial Reasoning Tests. We frequently add new test questions to keep you fresh and challenged.

Get your ticket to our exclusive online Aptitude Tests suite suite NOW and you will receive:

• Check Letters Test 01
• Distance Number Test 01
• Electrical Comprehension Test
• English Language Test 01
• Fault Analysis Test
• Mechanical Comprehension Test 01
• Numerical Reasoning Test 01
• Numerical Reasoning Test 02
• Numerical Reasoning Test 03
• Numerical Reasoning Test 04
• Numerical Reasoning Test 05
• Numerical Reasoning Test 06
• Numerical Reasoning Test 07
• Numerical Reasoning Test 08
• Numerical Reasoning Test 09
• Numerical Reasoning Test 10
• Numerical Reasoning Test 11
• Numerical Reasoning Test 12
• Numerical Reasoning Test 13
• Numerical Reasoning Test 14
• Selecting The Odd One Out
• Spatial Reasoning Test 01
• Spatial Reasoning Test 02
• Spatial Reasoning Test 03
• Symbol Rotation Test 01

## ONLINE APTITUDE TESTS TIPS

It is advisable that you take along your own calculator for the tests as the administrator may provide one that you are not familiar with. Because time is of the essence it is important that you use a calculator you know you can use quickly and effectively.

You will find that some verbal reasoning tests require you to answer the questions as True, False or Cannot say based on the information provided. Many test takes get caught out with these tests as they sometimes base their answers on their ‘knowledge’ of a subject matter as opposed to answering the questions based solely on the information provided.

It is very important to understand that accuracy is more important than completing the test. Many employers or test administrators will deduct marks for incorrect answers. You need to work quickly but you should not sacrifice speed for accuracy or results.

• Understanding Information Test 01
• Understanding Information Test 02
• Understanding Information Test 03
• Understanding Information Test 04
• Understanding Information Test 05
• Understanding Information Test 06
• Understanding Information Test 07
• Understanding Information Test 08
• Verbal Comprehension Test 01
• Verbal Comprehension Test 02
• Verbal Reasoning Test 01
• Verbal Reasoning Test 02
• Verbal Reasoning Test 03
• Verbal Reasoning Test 04
• Visual Estimation Test 01
• Work Rate Test 01

#

# USATestprep, Inc.

### Teacher-developed

USATestprep was founded by two teachers who believe that web-based technology could improve student test performance and curriculum mastery.

### Curriculum Resources

USATestprep offers more than practice questions. It includes games, puzzles, videos, and enhanced technology activities – all aligned to your state’s standards.

### Benchmark Testing

Our diagnostic benchmark system provides a performance snapshot at the student, class, school, and district level.

## Getting Started

USATestprep is very user-friendly! Students and teachers can use the site effectively from the first day of purchase. We also offer a live online training session, as well as tutorial videos on every important aspect of our site.

#

Most states have, or are developing, tests to assess their students� proficiency in state frameworks of curriculum. Many of these states are including students with limited English proficiency in this assessment process, but a significant number of LEP students have difficulty passing these standardized tests. In this website, Longman is pleased to provide additional practice for LEP students by offering sample standardized reading tests for grades 1 to 8. The reading tests provided here are a combination of multiple choice, short-answer, and long-answer questions. The short-answer and long-answer questions are designed to have students process the information in the passage, analyze it, and organize it for the answer. In this way, these practice questions test students� analytical abilities, not just comprehension.

Multiple-Choice Questions
The multiple-choice questions have four possible answers labeled A, B, C, D or F, G, H, I. The students will choose one answer per question. Each question correctly answered is given one point.

The short-answer questions have a Read, Think, and Explain symbol next to them. Students should spend about three to five minutes answering each short-answer question on the lines provided. Each question answered correctly is given up to two points; partial credit is given. There can be some variation in the answers.

The long-answer questions have a Read, Think, and Explain symbol with more lines next to them. Students should spend about seven to ten minutes answering each long-answer question on the lines provided. Each question correctly answered is given up to four points and partial credit is given. There can be some variation in the answers.

The Practice Reading Tests in this book are scored on a point system that differs slightly by grade level. Grades 1 and 2 have fewer questions and no short- or long-answer questions. Grade 1 is based on a scoring rage of 0 6 points. Grade 2 is based on a scoring range of 0 12 points. Grades 3 through 8 are based on a scoring range of 0 22 points.

Using This Test Prep Site

This site has a practice test for each grade. Each test has a contents page, two reading passages, and question and answer sections.

To answer multiple choice questions, students click on the button next to their answer choice. For the short-answer and long-answer questions, students can key their answer directly into the essay box provided under the question.

When a student has completed the sample test, he or she can click on the Submit button. This will produce a screen showing the student’s answers (multiple choice answers and the written answers), which can then be printed and given to the teacher for grading.

How to Score the Practice Reading Test

Multiple-Choice Questions
Each multiple-choice question is worth 1 point.

Short-answer Read, Think, and Explain questions are worth up to two points. There may be more than one acceptable answer for a short-answer question. (Sample answers are given for each question.) Partial credit can be given for answers that are correct, but incomplete.

2 points The answer shows that the student understands what the question is asking. The response is both accurate and complete. The student has supported the answer with information and/or examples from the passage, as asked for in the question. The answer must be based on the correct passage.

1 point
The answer shows that the student understood or responded to only part of what the question asked. The information in the answer may be correct and based on the passage, but may not be clearly written, or exact enough. More supporting information and/or examples may be needed, as asked for in the question.

0 points The answer is incorrect or not based upon the passage, or the student gives no response.

Long-answer Read, Think, and Explain questions are worth up to four points. There may be more than one acceptable answer for a long-answer question. (Sample answers are given for each question.) Partial credit can be given for answers that are correct, but incomplete.

4 points The answer shows that the student has a thorough understanding of what the question asks. The response is both accurate and complete. The student has supported the answer with information and/or examples from the passage, as asked for in the question. The answer must be based on the correct passage.

3 points The answer shows that the student has a complete understanding of what the question asks. The information in the answer is correct, but more supporting information and/or examples based on the passage are needed.

2 points The answer shows that the student understood or responded to only part of what the question asked. The information in the answer may be correct and based on the passage, but may not be clearly written, or exact enough. More supporting information and/or examples may be needed.

1 point The answer shows that the student has little understanding of what the question has asked. The answer may be incomplete, may have several mistakes or inaccuracies, and may not fulfill the task required by the question.

0 points The answer is incorrect or not based upon the passage, or the student gives no response.

Tips for Students Taking a Reading Test

• There are two kinds of questions in the FCAT: multiple-choice and Read, Think, and Explain questions.
• Take 5 minutes to write an answer for the short Read, Think, and Explain questions. Take 10 minutes to answer the long ones.
• Be sure to read all directions carefully. If you do not understand directions, ask your teacher for help.
• It is normal to be nervous when you take a test. Try to relax and think about the readings.
• Read the whole passage once before you answer any of the questions.
• You are allowed to go back and read the passages as many times as you want to. Read them carefully.
• Be careful not to leave marks around the answer bubbles. Try to fill them in neatly.
• When you answer the Read, Think, and Explain questions, think and organize what you want to say before writing down your ideas.
• After you read the passage, first answer the questions you know. Skip the ones that are too hard and go back later.
• Do not worry if you do not know the answers to questions. Keep going! Partial credit is given for Read, Think, and Explain questions, so write whatever you know.
• If there is time, go back and make sure that you are giving the best possible answer for each question.

#

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# SAT Grammar

There are 49 grammar questions on the SAT writing section. Grammar accounts for over two thirds of the marks on this section. Questions are of 3 types:

• Identification of sentence errors
• Sentence correction (improving sentences)
• Editing in context (improving paragraphs)

## Practice SAT Grammar

It contains fifty rules that are essential knowledge for sentence correction, identification of sentence errors and editing in context questions that you will encounter on the SAT.

## Directions

Select a question type to view the directions:

Identification of sentence errors

Read each sentence carefully. If you find an error, select the underlined part that is incorrect. Some sentences contain no error, in which case choose answer E.

If you are interestedA in learning moreB details of chemical reactions, oneC should consult an advancedD textbook. No errorE .

Part of the given sentence is underlined. Choose the answer choice which is the best version of the underlined part. Choice A is unchanged. Select the version which is the most effective expression – correct grammar, clear and unambiguous.

Discount coupons will be available from tomorrow, they can be collected during office hours.

Editing in context

Each passage is a draft of a student’s essay. Read the essay and answer the questions paying attention to correct grammar and effective expression. Some questions require you to consider the structure and development of the entire essay.

* SAT is a registered trademark of the College Board, which was not involved in the production of, and does not endorse, this product.

All content of site and practice tests copyright 2016 Study Mode, LLC.

#

# Math Problems, Questions and Online Self Tests

Free online math problems, questions and self tests on precalculus topics. Answers and detailed solutions are provided.

## Math Problems and Questions

• Solve math problems (1) and the Solutions are provided.
• Numerical, Graphical and Analytical Math Problem Solving (1). The problem of maximizing the area of a rectangular garden is examined using three approaches: numerical, graphical and analytical. A discussion to compare the three methods is also presented.
• Linear Functions Problems with Solutions A set of problems involving linear functions, along with detailed solutions, are presented. The problems are designed with emphasis on the meaning of the slope and the y intercept.
• Math Problems and Solutions on Integers. Problems related to integer numbers are presented along with their solutions.
• Mixture Problems With Solutions. Mixture problems and their solutions are presented along with their solutions. Percentages are also used to solve these types of problems.
• Polynomial Problems with Solutions. Polynomial problems with detailed solutions.
• Write Rational Functions – Problems With Solutions. Write rational functions given their characteristics such as vertical asymptotes, horizontal asymptote, x intercepts, hole.
• Rate, Time Distance Problems With Solutions. The relationship between distance, rate (speed) and time Distance = time * rate is used to solve uniform motion problems. Detailed solutions to the problems are provided.
• Work Rate Problems with Solutions. A set of problems related to work and rate of work is presented with detailed solutions.
• Projectile Problems with Solutions. A tutorial on solving projectile problems. Detailed solutions to the problems are provided.
• Math Questions With Answers (1) and detailed explanations and solutions of these questions are also provided.
• Math Questions With Answers (2) and Solutions and explanations. A set of multiple choice math questions and their answers are presented. These questions have been designed to test for deep understanding of math concepts.
• Math Questions With Answers (3). Math questions on logarithmic and exponential expressions and equations, with answers.
• Math Questions With Answers (4). Math questions on solving equations and inequalities with absolute value. Equations with complex solutions are also included.
• Math Questions With Answers (5). Math questions on circles and distance between two points.
• Math Questions With Answers (6). Math questions on slopes and equations of lines.
• Math Questions With Answers (7). Math questions on how to find the domain of a function.
• Math Questions With Answers (8). Math questions on simplifying polynomials.
• Math Questions With Answers (9). Math questions on synthetic division of polynomials.
• Math Questions With Answers (10). Math questions on degree and multiplicity of zeros of polynomials.
• Math Questions With Answers (11). Math questions on factoring polynomials.
• Math Questions With Answers (12). Math questions on decomposition into partial fractions.
• Math Questions With Answers (13): Quadratic Functions. Math Questions with answers on finding maximum and minimum values, vertex, axis of symmetry, interval of increase and decrease and the range of quadratic functions.
• Percent Math Problems Several word problems on percentage with detailed solutions are presented.
• Percent Math Questions Several questions on percentages, with detailed solutions are presented.
• Solve Slope Problems and the Solutions are provided.
• Solve Line Problems and the Solutions are provided.
• Solve Exponential and Logarithm Problems and the Solutions are provided.
• Solve Distance Problems and the Solutions are provided.
• Questions on Functions and their Solutions are provided.
• Mathematical Induction – Problems With Solutions. Several problems, with detailed solutions, on mathematical induction are presented.

## Sequences

• Geometric Sequences Problems with Solutions. Problems and exercises involving geometric sequences, along with detailed solutions and answers, are presented.
• Arithmetic Sequences Problems with Solutions. Problems and exercises involving arithmetic sequences, along with detailed solutions and answers.

## Algebra, Equations and Inequalities

• Algebra Problems and their detailed solutions. You have the choice between a set of questions with their answers or a set of 50 questions in the applet to self test you background on algebra.
• Solve Quadratic Equations With Rational Expressions – Problems and detailed solutions provided. Solve a set of problems related to quadratic and rational equations. You have the choice between a set of 10 problems and 50 questions from an applet.
• Solving Linear Equations – Questions. Multiple choice questions on solving linear equations. Answers included.
• Equations And Inequalities with Absolute Value – Problems and their answers. A set of 10 multiple choice problems related to equations and inequalities with absolute value and their answers problems are presented. The same problems can also be solved as a self test using an applet.
• Polynomial and Rational Inequalities, questions and their answers. Questions on solving Polynomial and Rational Inequalities are presented. These may be used as a self test.

## Functions, Domain, Composition and Inverse

• Find the Domain of a Function – Problems with detailed solutions. A set of 10 problems, on finding the domain of a function, with their solutions are presented.
• Composition of Functions Questions with adetailed solutions. Questions, with their answers, on compositions of functions are presented. These questions may be used as a self test.
• Find Inverse Functions – Questions and their detailed solutions. Questions on how to find the inverse of linear, quadratic with restricted domain, logarithmic, exponential and rational, together with detailed solutions, are presented.
• Questions on one to one Functions. Several questions with detailed solutions as well as exercises with answers on how to prove that a given function is a one to one function.

## Logarithms

• Solve Exponential and Logarithmic Equations. questions with answers. Questions on solving exponential and logarithmic equations and ,indirectly, on all properties of exponential and logarithmic functions are presented. These questions may be used as a self test.

## Graphs of Functions

• Graphs of Functions – Questions and their answers. Given the equation of a function, identify a possible graph (among 4) corresponding to the given function. Algebraic functions including linear, square root, quadratic and absolute value functions are included.
• Graphs of Polynomial Functions – Questions with answers. Questions and their answers on graphs of polynomial functions are presented. These questions may be used as a self self test.
• Graphs of Rational Functions – Questions with answers. Questions, and their answers, on identifying graphs of rational functions are presented.
• Graphs of Logarithmic and Exponential Functions – Questions with answers. Questions, and their answers, on the graphs of Logarithmic and Exponential functions are presented. These may be used as a self test.

## Trigonometry

• Solve Trigonometric Equations – Problems with answers. 10 problems, with their answers, on solving trigonometric equations are presented here and more in the applet below.
• Graphs Trigonometric Functions – Questions with answers. A set of questions, with their answers, on identifying the graphs of trigonometric functions sin(x), cos(x), tan(x), sec(x), csc(x), cot(x) are presented. These may be used as a self test on the graphs of trigonometric functions.
• Find Values Of Trigonometric Functions – Questions with answers. A set of questions, with their answers, on finding exact values of trigonometric functions sin(x), cos(x), tan(x), sec(x), csc(x), cot(x) are presented.

## Unit Converion

• Convert Units of Lengths. A set of questions on how to convert from one unit of length to another: meters, kilometers, millimeters, centimeters, decimeters, feet, inches, yards, miles, nanometers and micrometers. Both metric and imperial units are used.
• Convert Units of Velocity. Questions, with answers, on how to convert from one unit of velocity (speed) to another. For the lengths, both metric and imperial units are used.

## Complex Numbers

• Questions on Complex Numbers with answers. The questions are about adding, multiplying and dividing complex as well as finding the complex conjugate.

#

# Printable Physics Worksheets, Tests, and Activities

Try physics tests on motion, energy, and forces. Take a quiz to test knowledge of electrical circuits using schematic symbols.

Worksheets labeled with are accessible to Pro subscribers only. Become a Subscriber to access hundreds of premium worksheets.

Don’t see a worksheet you need? Use our Test Maker to create your own printable that fits your needs. Browse physics questions or use our advanced search to find existing questions while filtering by grade levels and keywords. Customize your test further by creating your own assessment questions .

## High School and AP Physics

### Waves and Sound

Copyright Notice: All worksheets contain copyrighted work and are designed for use by individual teachers, tutors, and parents. Worksheets and/or questions may not be replicated or redistributed in any way outside HelpTeaching.com, regardless of intended usage, without explicit permission.

#

# Practice and Prepare for Math Tests . and Other Assessments

## Locator TestArithmetic Competency

NOTE: The scoring for the LOCATOR TEST does NOT work. After Discovery.com took over the scoring software from the University of Hawaii they lost all the keys in a server crash. Eventually the scoring keys will be reconstructed, but be aware that you will get a server error if you try to check your answers online.

Take the Locator Test . then —after you receive your results– use this guide to locate the specific skills you need to review by checking the topics you missed on the test:
[NOTE: Click on the Section Number (second column, below) for additional practice questions. Reinforcement/Review activities are linked in the third column (if available).]

Skill Area ( Review/Reinforcement )*

Whole Number Computation

Writing Decimals
Comparing Decimals
Multiplying Decimals

Dividing Decimals
Rounding Decimals

#33, 35
34, 36
37, 38
39, 40

* SKILL REVIEW — if available

## Practice Placement TestPre-Algebra

Take the Practice Placement Test . then —after you receive your results– use this guide to locate the specific skills you need to review by checking the topics you missed on the test:
[NOTE: Click on the Section Number (second column, below) for additional practice questions. Reinforcement/Review activities are linked in the third column (if available).]

Skill Area ( Review/Reinforcement )*

Whole Number Computation

Subtraction,
Multiplication
Changing Fractions to Decimals

Dividing and Rounding Decimals

#23 – 25, 27, 28
29

Percents
Problem Solving with Percents

* SKILL REVIEW — if available

Last Updated: 12 September ’99 at approximately 02:05 GMT

http://amby.com/tests/math/

#

# GMA Practice Items

There are several different types of IQ or general mental ability tests. In general they are trying to measure how quickly and accurately you can solve problems, to give an indication of raw intellect.

The most complex IQ test is a series of tests that can take several hours to complete and can have up to 16 subtests within it.

There are diagrammatic IQ tests which test your ability to spatially recognise patterns and rotate objects and there are more general problem solving IQ tests.

### General Mental Ability IQ Tests

There are general mental ability (GMA) IQ tests that measure your ability to quickly solve a variety of different problems from verbal, to numeric to diagrammatic.

## Sample and practice IQ items:

1. If Bob sold 15 apples in a working week, what is the average number of apples he sells each day?
2. “Pig is to pork” as “Cow is to _____”:
• Lamb
• Beef
• Stew
• Cattle
3. If it takes 2 hours to drive to City A and the city is 120km away, what speed was the vehicle travelling at?
4. If Sally sells more tickets than Betty and Betty sells more tickets than Jodie, who sells the most if we compare Sally and Jodie?
5. The words “inclusive” and “exclusive” have:
• The same meaning
• Different meanings
• Are the opposite in meaning
6. If you have a cube which is 5m x 5m x 5m, what is the cubic metres this container would hold?
7. The acronym RSVP originally came from the French term Répondez s’il vous plaît – True or False?
8. “Boat is to water” therefore “Plane is to _____”
• Fly
• Sky
• Float
• Air
9. The following series of numbers contains one number that does not fit the pattern set by the others. What number does not fit? 3, 5, 7, 11, 14, 17
10. The word PARTICULAR is the opposite of:
• Distinct
• Vague
• Exacting
• Fussy

#### Answers to the above IQ Ability Test:

1. 3 – there are 5 days in a working week, so you divide 15 by 5 = 3
2. Beef – Pig is the animal pork meat comes from so what meat comes from Cows – Beef
3. 60km per hour – Take the number of kms 120 and divide by the number of hours, then you get the kilometres per hour
4. Sally – Given Betty sells more than Jodie, and Sally sells more the Betty, therefore Sally must sell more than Jodie
5. These words have opposite meanings
6. 125 cubic metres – to work this out you multiple each dimension of the cube by the others. 5×5 = 25; 25*5=125
7. True
8. Air – Boats travel through the water and water goes through a boat’s engine, therefore what do planes travel through and what goes through the engine? The Air.
9. 14 does not fit, the others are prime numbers, but 14 is not.
10. Vague. Particular generally means to be quite specific and exact about what you want, therefore being vague would be the opposite.

### Sample Diagrammatic IQ Test Items

For each of the following diagrams, select the item below it which would complete the pattern:

#

## ONLINE APTITUDE TESTS

Generally, aptitude tests are administered at a test centre and are assessed under strict time conditions. The purpose of the tests is to assess your ability to solve difficult and complex problems. The tests themselves are usually multiple choice in nature. Although many people try to guess any questions they are not sure of the answer, the answer options are usually very close in nature. Therefore, the ability to guess accurately on a consistent basis is unlikely. Examples of aptitude tests include verbal reasoning and numerical reasoning.

Generally, aptitude tests are administered at a test centre and are assessed under strict time conditions. The purpose of the tests is to assess your ability to solve difficult and complex problems. The tests themselves are usually multiple choice in nature. Although many people try to guess any questions they are not sure of the answer, the answer options are usually very close in nature. Therefore, the ability to guess accurately on a consistent basis is unlikely. Examples of aptitude tests include verbal reasoning and numerical reasoning.

The good news about aptitude tests is that they have been designed so that you do not finish the entire test. There are plenty of questions with the exam and, whilst not impossible to fully complete the tests, it is unlikely that a candidate will complete them. Many test-takers panic when they see the number of tests in the exam, and as a result, they will start to get many of the questions wrong due to rushing. You should approach the tests in a composed manner and whilst speed is of the essence you should not detract from accuracy as you may lose marks for incorrect responses

## HOW YOUR TEST RESULTS ARE USED

Aptitude test results can be used in many different ways. They can be used solely as part of a selection process or they can be used as part of an entire assessment centre. Many test administrators will also check your scores across the mean average scores from your group. Other assessment mediums in which aptitude tests are used alongside include interviews, group discussions, in-tray exercises and group tasks.

## THE USE OF APTITUDE TESTS AS A SCREENING PROCESS

Aptitude tests are also used as an effective initial screening process, especially for more complex and technical posts such as banking where an ability to competently interpret numerical data is imperative. In this case you will normal find that you are required to take an online aptitude test and your scores will automatically be processed by the employer or test administrator to determine whether or not you will be invited to the next stage of the selection and assessment process.

When you purchase our Online Aptitude Tests suite you will get INSTANT access to 100s of different test questions ranging from Numerical Reasoning Tests through to Spatial Reasoning Tests. We frequently add new test questions to keep you fresh and challenged.

Get your ticket to our exclusive online Aptitude Tests suite suite NOW and you will receive:

• Check Letters Test 01
• Distance Number Test 01
• Electrical Comprehension Test
• English Language Test 01
• Fault Analysis Test
• Mechanical Comprehension Test 01
• Numerical Reasoning Test 01
• Numerical Reasoning Test 02
• Numerical Reasoning Test 03
• Numerical Reasoning Test 04
• Numerical Reasoning Test 05
• Numerical Reasoning Test 06
• Numerical Reasoning Test 07
• Numerical Reasoning Test 08
• Numerical Reasoning Test 09
• Numerical Reasoning Test 10
• Numerical Reasoning Test 11
• Numerical Reasoning Test 12
• Numerical Reasoning Test 13
• Numerical Reasoning Test 14
• Selecting The Odd One Out
• Spatial Reasoning Test 01
• Spatial Reasoning Test 02
• Spatial Reasoning Test 03
• Symbol Rotation Test 01

## ONLINE APTITUDE TESTS TIPS

It is advisable that you take along your own calculator for the tests as the administrator may provide one that you are not familiar with. Because time is of the essence it is important that you use a calculator you know you can use quickly and effectively.

You will find that some verbal reasoning tests require you to answer the questions as True, False or Cannot say based on the information provided. Many test takes get caught out with these tests as they sometimes base their answers on their ‘knowledge’ of a subject matter as opposed to answering the questions based solely on the information provided.

It is very important to understand that accuracy is more important than completing the test. Many employers or test administrators will deduct marks for incorrect answers. You need to work quickly but you should not sacrifice speed for accuracy or results.

• Understanding Information Test 01
• Understanding Information Test 02
• Understanding Information Test 03
• Understanding Information Test 04
• Understanding Information Test 05
• Understanding Information Test 06
• Understanding Information Test 07
• Understanding Information Test 08
• Verbal Comprehension Test 01
• Verbal Comprehension Test 02
• Verbal Reasoning Test 01
• Verbal Reasoning Test 02
• Verbal Reasoning Test 03
• Verbal Reasoning Test 04
• Visual Estimation Test 01
• Work Rate Test 01

#

# FREE PARCC practice tests and sample questions for Math and Language Arts. Includes technology-enhanced questions. Try it now!

PARCC is a registered trademark of PARCC, Inc. Lumos Learning, is not owned by or affiliated in any fashion with PARCC, Inc. Read More

PARCC is a registered trademark of PARCC, Inc. Lumos Learning, is not owned by or affiliated in any fashion with PARCC, Inc. the Partnership for the Assessment of Readiness for College and Careers, nor any state of the Union. Neither PARCC, Inc. nor The Partnership for the Assessment of Readiness for College and Careers, nor any member state has endorsed this product. No portion of any fees or charges paid for any products or services Lumos Learning offers will be paid or inure to the benefit of PARCC, Inc. or any state of the Union

SBAC is a copyright of The Regents of the University of California – Smarter Balanced Assessment Consortium, which is not aff. Read More

SBAC is a copyright of The Regents of the University of California – Smarter Balanced Assessment Consortium, which is not affiliated to Lumos Learning. The Regents of the University of California – Smarter Balanced Assessment Consortium, was not involved in the production of, and does not endorse these products or this site.

ACT Aspire is a registered trademark of ACT Aspire LLC. which is not affiliated to Lumos Learning. ACT Aspire LLC, was not. Read More

ACT Aspire is a registered trademark of ACT Aspire LLC. which is not affiliated to Lumos Learning. ACT Aspire LLC,was not involved in the production of, and does not endorse these products or this site.

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Florida Department of Education is not affiliated to Lumos Learning. Florida department of education, was not involved in the production of, and does not endorse these products or this site.

Indiana Department of Education is not affiliated to Lumos Learning. Indiana department of education, was not involved in the. Read More

Indiana Department of Education is not affiliated to Lumos Learning. Indiana department of education, was not involved in the production of, and does not endorse these products or this site.

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Ohio Department of Education is not affiliated to Lumos Learning. Ohio department of education, was not involved in the production of, and does not endorse these products or this site.

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Tennessee Department of Education is not affiliated to Lumos Learning. Tennessee department of education, was not involved in the production of, and does not endorse these products or this site.

Georgia Department of Education is not affiliated to Lumos Learning. Georgia department of education, was not involved. Read More

Georgia Department of Education is not affiliated to Lumos Learning. Georgia department of education, was not involved in the production of, and does not endorse these products or this site.

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Missouri Department of Education is not affiliated to Lumos Learning. Missouri department of education, was not involved in the production of, and does not endorse these products or this site.

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Louisiana Department of Education is not affiliated to Lumos Learning. Louisiana department of education, was not involved in the production of, and does not endorse these products or this site.

#

# USATestprep, Inc.

### Teacher-developed

USATestprep was founded by two teachers who believe that web-based technology could improve student test performance and curriculum mastery.

### Curriculum Resources

USATestprep offers more than practice questions. It includes games, puzzles, videos, and enhanced technology activities – all aligned to your state’s standards.

### Benchmark Testing

Our diagnostic benchmark system provides a performance snapshot at the student, class, school, and district level.

## Getting Started

USATestprep is very user-friendly! Students and teachers can use the site effectively from the first day of purchase. We also offer a live online training session, as well as tutorial videos on every important aspect of our site.

#

Most states have, or are developing, tests to assess their students� proficiency in state frameworks of curriculum. Many of these states are including students with limited English proficiency in this assessment process, but a significant number of LEP students have difficulty passing these standardized tests. In this website, Longman is pleased to provide additional practice for LEP students by offering sample standardized reading tests for grades 1 to 8. The reading tests provided here are a combination of multiple choice, short-answer, and long-answer questions. The short-answer and long-answer questions are designed to have students process the information in the passage, analyze it, and organize it for the answer. In this way, these practice questions test students� analytical abilities, not just comprehension.

Multiple-Choice Questions
The multiple-choice questions have four possible answers labeled A, B, C, D or F, G, H, I. The students will choose one answer per question. Each question correctly answered is given one point.

The short-answer questions have a Read, Think, and Explain symbol next to them. Students should spend about three to five minutes answering each short-answer question on the lines provided. Each question answered correctly is given up to two points; partial credit is given. There can be some variation in the answers.

The long-answer questions have a Read, Think, and Explain symbol with more lines next to them. Students should spend about seven to ten minutes answering each long-answer question on the lines provided. Each question correctly answered is given up to four points and partial credit is given. There can be some variation in the answers.

The Practice Reading Tests in this book are scored on a point system that differs slightly by grade level. Grades 1 and 2 have fewer questions and no short- or long-answer questions. Grade 1 is based on a scoring rage of 0 6 points. Grade 2 is based on a scoring range of 0 12 points. Grades 3 through 8 are based on a scoring range of 0 22 points.

Using This Test Prep Site

This site has a practice test for each grade. Each test has a contents page, two reading passages, and question and answer sections.

To answer multiple choice questions, students click on the button next to their answer choice. For the short-answer and long-answer questions, students can key their answer directly into the essay box provided under the question.

When a student has completed the sample test, he or she can click on the Submit button. This will produce a screen showing the student’s answers (multiple choice answers and the written answers), which can then be printed and given to the teacher for grading.

How to Score the Practice Reading Test

Multiple-Choice Questions
Each multiple-choice question is worth 1 point.

Short-answer Read, Think, and Explain questions are worth up to two points. There may be more than one acceptable answer for a short-answer question. (Sample answers are given for each question.) Partial credit can be given for answers that are correct, but incomplete.

2 points The answer shows that the student understands what the question is asking. The response is both accurate and complete. The student has supported the answer with information and/or examples from the passage, as asked for in the question. The answer must be based on the correct passage.

1 point
The answer shows that the student understood or responded to only part of what the question asked. The information in the answer may be correct and based on the passage, but may not be clearly written, or exact enough. More supporting information and/or examples may be needed, as asked for in the question.

0 points The answer is incorrect or not based upon the passage, or the student gives no response.

Long-answer Read, Think, and Explain questions are worth up to four points. There may be more than one acceptable answer for a long-answer question. (Sample answers are given for each question.) Partial credit can be given for answers that are correct, but incomplete.

4 points The answer shows that the student has a thorough understanding of what the question asks. The response is both accurate and complete. The student has supported the answer with information and/or examples from the passage, as asked for in the question. The answer must be based on the correct passage.

3 points The answer shows that the student has a complete understanding of what the question asks. The information in the answer is correct, but more supporting information and/or examples based on the passage are needed.

2 points The answer shows that the student understood or responded to only part of what the question asked. The information in the answer may be correct and based on the passage, but may not be clearly written, or exact enough. More supporting information and/or examples may be needed.

1 point The answer shows that the student has little understanding of what the question has asked. The answer may be incomplete, may have several mistakes or inaccuracies, and may not fulfill the task required by the question.

0 points The answer is incorrect or not based upon the passage, or the student gives no response.

Tips for Students Taking a Reading Test

• There are two kinds of questions in the FCAT: multiple-choice and Read, Think, and Explain questions.
• Take 5 minutes to write an answer for the short Read, Think, and Explain questions. Take 10 minutes to answer the long ones.
• Be sure to read all directions carefully. If you do not understand directions, ask your teacher for help.
• It is normal to be nervous when you take a test. Try to relax and think about the readings.
• Read the whole passage once before you answer any of the questions.
• You are allowed to go back and read the passages as many times as you want to. Read them carefully.
• Be careful not to leave marks around the answer bubbles. Try to fill them in neatly.
• When you answer the Read, Think, and Explain questions, think and organize what you want to say before writing down your ideas.
• After you read the passage, first answer the questions you know. Skip the ones that are too hard and go back later.
• Do not worry if you do not know the answers to questions. Keep going! Partial credit is given for Read, Think, and Explain questions, so write whatever you know.
• If there is time, go back and make sure that you are giving the best possible answer for each question.

#

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# SAT Grammar

There are 49 grammar questions on the SAT writing section. Grammar accounts for over two thirds of the marks on this section. Questions are of 3 types:

• Identification of sentence errors
• Sentence correction (improving sentences)
• Editing in context (improving paragraphs)

## Practice SAT Grammar

It contains fifty rules that are essential knowledge for sentence correction, identification of sentence errors and editing in context questions that you will encounter on the SAT.

## Directions

Select a question type to view the directions:

Identification of sentence errors

Read each sentence carefully. If you find an error, select the underlined part that is incorrect. Some sentences contain no error, in which case choose answer E.

If you are interestedA in learning moreB details of chemical reactions, oneC should consult an advancedD textbook. No errorE .

Part of the given sentence is underlined. Choose the answer choice which is the best version of the underlined part. Choice A is unchanged. Select the version which is the most effective expression – correct grammar, clear and unambiguous.

Discount coupons will be available from tomorrow, they can be collected during office hours.

Editing in context

Each passage is a draft of a student’s essay. Read the essay and answer the questions paying attention to correct grammar and effective expression. Some questions require you to consider the structure and development of the entire essay.

* SAT is a registered trademark of the College Board, which was not involved in the production of, and does not endorse, this product.

All content of site and practice tests copyright 2016 Study Mode, LLC.

#

# Math Problems, Questions and Online Self Tests

Free online math problems, questions and self tests on precalculus topics. Answers and detailed solutions are provided.

## Math Problems and Questions

• Solve math problems (1) and the Solutions are provided.
• Numerical, Graphical and Analytical Math Problem Solving (1). The problem of maximizing the area of a rectangular garden is examined using three approaches: numerical, graphical and analytical. A discussion to compare the three methods is also presented.
• Linear Functions Problems with Solutions A set of problems involving linear functions, along with detailed solutions, are presented. The problems are designed with emphasis on the meaning of the slope and the y intercept.
• Math Problems and Solutions on Integers. Problems related to integer numbers are presented along with their solutions.
• Mixture Problems With Solutions. Mixture problems and their solutions are presented along with their solutions. Percentages are also used to solve these types of problems.
• Polynomial Problems with Solutions. Polynomial problems with detailed solutions.
• Write Rational Functions – Problems With Solutions. Write rational functions given their characteristics such as vertical asymptotes, horizontal asymptote, x intercepts, hole.
• Rate, Time Distance Problems With Solutions. The relationship between distance, rate (speed) and time Distance = time * rate is used to solve uniform motion problems. Detailed solutions to the problems are provided.
• Work Rate Problems with Solutions. A set of problems related to work and rate of work is presented with detailed solutions.
• Projectile Problems with Solutions. A tutorial on solving projectile problems. Detailed solutions to the problems are provided.
• Math Questions With Answers (1) and detailed explanations and solutions of these questions are also provided.
• Math Questions With Answers (2) and Solutions and explanations. A set of multiple choice math questions and their answers are presented. These questions have been designed to test for deep understanding of math concepts.
• Math Questions With Answers (3). Math questions on logarithmic and exponential expressions and equations, with answers.
• Math Questions With Answers (4). Math questions on solving equations and inequalities with absolute value. Equations with complex solutions are also included.
• Math Questions With Answers (5). Math questions on circles and distance between two points.
• Math Questions With Answers (6). Math questions on slopes and equations of lines.
• Math Questions With Answers (7). Math questions on how to find the domain of a function.
• Math Questions With Answers (8). Math questions on simplifying polynomials.
• Math Questions With Answers (9). Math questions on synthetic division of polynomials.
• Math Questions With Answers (10). Math questions on degree and multiplicity of zeros of polynomials.
• Math Questions With Answers (11). Math questions on factoring polynomials.
• Math Questions With Answers (12). Math questions on decomposition into partial fractions.
• Math Questions With Answers (13): Quadratic Functions. Math Questions with answers on finding maximum and minimum values, vertex, axis of symmetry, interval of increase and decrease and the range of quadratic functions.
• Percent Math Problems Several word problems on percentage with detailed solutions are presented.
• Percent Math Questions Several questions on percentages, with detailed solutions are presented.
• Solve Slope Problems and the Solutions are provided.
• Solve Line Problems and the Solutions are provided.
• Solve Exponential and Logarithm Problems and the Solutions are provided.
• Solve Distance Problems and the Solutions are provided.
• Questions on Functions and their Solutions are provided.
• Mathematical Induction – Problems With Solutions. Several problems, with detailed solutions, on mathematical induction are presented.

## Sequences

• Geometric Sequences Problems with Solutions. Problems and exercises involving geometric sequences, along with detailed solutions and answers, are presented.
• Arithmetic Sequences Problems with Solutions. Problems and exercises involving arithmetic sequences, along with detailed solutions and answers.

## Algebra, Equations and Inequalities

• Algebra Problems and their detailed solutions. You have the choice between a set of questions with their answers or a set of 50 questions in the applet to self test you background on algebra.
• Solve Quadratic Equations With Rational Expressions – Problems and detailed solutions provided. Solve a set of problems related to quadratic and rational equations. You have the choice between a set of 10 problems and 50 questions from an applet.
• Solving Linear Equations – Questions. Multiple choice questions on solving linear equations. Answers included.
• Equations And Inequalities with Absolute Value – Problems and their answers. A set of 10 multiple choice problems related to equations and inequalities with absolute value and their answers problems are presented. The same problems can also be solved as a self test using an applet.
• Polynomial and Rational Inequalities, questions and their answers. Questions on solving Polynomial and Rational Inequalities are presented. These may be used as a self test.

## Functions, Domain, Composition and Inverse

• Find the Domain of a Function – Problems with detailed solutions. A set of 10 problems, on finding the domain of a function, with their solutions are presented.
• Composition of Functions Questions with adetailed solutions. Questions, with their answers, on compositions of functions are presented. These questions may be used as a self test.
• Find Inverse Functions – Questions and their detailed solutions. Questions on how to find the inverse of linear, quadratic with restricted domain, logarithmic, exponential and rational, together with detailed solutions, are presented.
• Questions on one to one Functions. Several questions with detailed solutions as well as exercises with answers on how to prove that a given function is a one to one function.

## Logarithms

• Solve Exponential and Logarithmic Equations. questions with answers. Questions on solving exponential and logarithmic equations and ,indirectly, on all properties of exponential and logarithmic functions are presented. These questions may be used as a self test.

## Graphs of Functions

• Graphs of Functions – Questions and their answers. Given the equation of a function, identify a possible graph (among 4) corresponding to the given function. Algebraic functions including linear, square root, quadratic and absolute value functions are included.
• Graphs of Polynomial Functions – Questions with answers. Questions and their answers on graphs of polynomial functions are presented. These questions may be used as a self self test.
• Graphs of Rational Functions – Questions with answers. Questions, and their answers, on identifying graphs of rational functions are presented.
• Graphs of Logarithmic and Exponential Functions – Questions with answers. Questions, and their answers, on the graphs of Logarithmic and Exponential functions are presented. These may be used as a self test.

## Trigonometry

• Solve Trigonometric Equations – Problems with answers. 10 problems, with their answers, on solving trigonometric equations are presented here and more in the applet below.
• Graphs Trigonometric Functions – Questions with answers. A set of questions, with their answers, on identifying the graphs of trigonometric functions sin(x), cos(x), tan(x), sec(x), csc(x), cot(x) are presented. These may be used as a self test on the graphs of trigonometric functions.
• Find Values Of Trigonometric Functions – Questions with answers. A set of questions, with their answers, on finding exact values of trigonometric functions sin(x), cos(x), tan(x), sec(x), csc(x), cot(x) are presented.

## Unit Converion

• Convert Units of Lengths. A set of questions on how to convert from one unit of length to another: meters, kilometers, millimeters, centimeters, decimeters, feet, inches, yards, miles, nanometers and micrometers. Both metric and imperial units are used.
• Convert Units of Velocity. Questions, with answers, on how to convert from one unit of velocity (speed) to another. For the lengths, both metric and imperial units are used.

## Complex Numbers

• Questions on Complex Numbers with answers. The questions are about adding, multiplying and dividing complex as well as finding the complex conjugate.

#

# Printable Physics Worksheets, Tests, and Activities

Try physics tests on motion, energy, and forces. Take a quiz to test knowledge of electrical circuits using schematic symbols.

Worksheets labeled with are accessible to Pro subscribers only. Become a Subscriber to access hundreds of premium worksheets.

Don’t see a worksheet you need? Use our Test Maker to create your own printable that fits your needs. Browse physics questions or use our advanced search to find existing questions while filtering by grade levels and keywords. Customize your test further by creating your own assessment questions .

## High School and AP Physics

### Waves and Sound

Copyright Notice: All worksheets contain copyrighted work and are designed for use by individual teachers, tutors, and parents. Worksheets and/or questions may not be replicated or redistributed in any way outside HelpTeaching.com, regardless of intended usage, without explicit permission.

#

# Practice and Prepare for Math Tests . and Other Assessments

## Locator TestArithmetic Competency

NOTE: The scoring for the LOCATOR TEST does NOT work. After Discovery.com took over the scoring software from the University of Hawaii they lost all the keys in a server crash. Eventually the scoring keys will be reconstructed, but be aware that you will get a server error if you try to check your answers online.

Take the Locator Test . then —after you receive your results– use this guide to locate the specific skills you need to review by checking the topics you missed on the test:
[NOTE: Click on the Section Number (second column, below) for additional practice questions. Reinforcement/Review activities are linked in the third column (if available).]

Skill Area ( Review/Reinforcement )*

Whole Number Computation

Writing Decimals
Comparing Decimals
Multiplying Decimals

Dividing Decimals
Rounding Decimals

#33, 35
34, 36
37, 38
39, 40

* SKILL REVIEW — if available

## Practice Placement TestPre-Algebra

Take the Practice Placement Test . then —after you receive your results– use this guide to locate the specific skills you need to review by checking the topics you missed on the test:
[NOTE: Click on the Section Number (second column, below) for additional practice questions. Reinforcement/Review activities are linked in the third column (if available).]

Skill Area ( Review/Reinforcement )*

Whole Number Computation

Subtraction,
Multiplication
Changing Fractions to Decimals

Dividing and Rounding Decimals

#23 – 25, 27, 28
29

Percents
Problem Solving with Percents

* SKILL REVIEW — if available

Last Updated: 12 September ’99 at approximately 02:05 GMT

http://amby.com/tests/math/

#

# GMA Practice Items

There are several different types of IQ or general mental ability tests. In general they are trying to measure how quickly and accurately you can solve problems, to give an indication of raw intellect.

The most complex IQ test is a series of tests that can take several hours to complete and can have up to 16 subtests within it.

There are diagrammatic IQ tests which test your ability to spatially recognise patterns and rotate objects and there are more general problem solving IQ tests.

### General Mental Ability IQ Tests

There are general mental ability (GMA) IQ tests that measure your ability to quickly solve a variety of different problems from verbal, to numeric to diagrammatic.

## Sample and practice IQ items:

1. If Bob sold 15 apples in a working week, what is the average number of apples he sells each day?
2. “Pig is to pork” as “Cow is to _____”:
• Lamb
• Beef
• Stew
• Cattle
3. If it takes 2 hours to drive to City A and the city is 120km away, what speed was the vehicle travelling at?
4. If Sally sells more tickets than Betty and Betty sells more tickets than Jodie, who sells the most if we compare Sally and Jodie?
5. The words “inclusive” and “exclusive” have:
• The same meaning
• Different meanings
• Are the opposite in meaning
6. If you have a cube which is 5m x 5m x 5m, what is the cubic metres this container would hold?
7. The acronym RSVP originally came from the French term Répondez s’il vous plaît – True or False?
8. “Boat is to water” therefore “Plane is to _____”
• Fly
• Sky
• Float
• Air
9. The following series of numbers contains one number that does not fit the pattern set by the others. What number does not fit? 3, 5, 7, 11, 14, 17
10. The word PARTICULAR is the opposite of:
• Distinct
• Vague
• Exacting
• Fussy

#### Answers to the above IQ Ability Test:

1. 3 – there are 5 days in a working week, so you divide 15 by 5 = 3
2. Beef – Pig is the animal pork meat comes from so what meat comes from Cows – Beef
3. 60km per hour – Take the number of kms 120 and divide by the number of hours, then you get the kilometres per hour
4. Sally – Given Betty sells more than Jodie, and Sally sells more the Betty, therefore Sally must sell more than Jodie
5. These words have opposite meanings
6. 125 cubic metres – to work this out you multiple each dimension of the cube by the others. 5×5 = 25; 25*5=125
7. True
8. Air – Boats travel through the water and water goes through a boat’s engine, therefore what do planes travel through and what goes through the engine? The Air.
9. 14 does not fit, the others are prime numbers, but 14 is not.
10. Vague. Particular generally means to be quite specific and exact about what you want, therefore being vague would be the opposite.

### Sample Diagrammatic IQ Test Items

For each of the following diagrams, select the item below it which would complete the pattern:

#

## ONLINE APTITUDE TESTS

Generally, aptitude tests are administered at a test centre and are assessed under strict time conditions. The purpose of the tests is to assess your ability to solve difficult and complex problems. The tests themselves are usually multiple choice in nature. Although many people try to guess any questions they are not sure of the answer, the answer options are usually very close in nature. Therefore, the ability to guess accurately on a consistent basis is unlikely. Examples of aptitude tests include verbal reasoning and numerical reasoning.

Generally, aptitude tests are administered at a test centre and are assessed under strict time conditions. The purpose of the tests is to assess your ability to solve difficult and complex problems. The tests themselves are usually multiple choice in nature. Although many people try to guess any questions they are not sure of the answer, the answer options are usually very close in nature. Therefore, the ability to guess accurately on a consistent basis is unlikely. Examples of aptitude tests include verbal reasoning and numerical reasoning.

The good news about aptitude tests is that they have been designed so that you do not finish the entire test. There are plenty of questions with the exam and, whilst not impossible to fully complete the tests, it is unlikely that a candidate will complete them. Many test-takers panic when they see the number of tests in the exam, and as a result, they will start to get many of the questions wrong due to rushing. You should approach the tests in a composed manner and whilst speed is of the essence you should not detract from accuracy as you may lose marks for incorrect responses

## HOW YOUR TEST RESULTS ARE USED

Aptitude test results can be used in many different ways. They can be used solely as part of a selection process or they can be used as part of an entire assessment centre. Many test administrators will also check your scores across the mean average scores from your group. Other assessment mediums in which aptitude tests are used alongside include interviews, group discussions, in-tray exercises and group tasks.

## THE USE OF APTITUDE TESTS AS A SCREENING PROCESS

Aptitude tests are also used as an effective initial screening process, especially for more complex and technical posts such as banking where an ability to competently interpret numerical data is imperative. In this case you will normal find that you are required to take an online aptitude test and your scores will automatically be processed by the employer or test administrator to determine whether or not you will be invited to the next stage of the selection and assessment process.

When you purchase our Online Aptitude Tests suite you will get INSTANT access to 100s of different test questions ranging from Numerical Reasoning Tests through to Spatial Reasoning Tests. We frequently add new test questions to keep you fresh and challenged.

Get your ticket to our exclusive online Aptitude Tests suite suite NOW and you will receive:

• Check Letters Test 01
• Distance Number Test 01
• Electrical Comprehension Test
• English Language Test 01
• Fault Analysis Test
• Mechanical Comprehension Test 01
• Numerical Reasoning Test 01
• Numerical Reasoning Test 02
• Numerical Reasoning Test 03
• Numerical Reasoning Test 04
• Numerical Reasoning Test 05
• Numerical Reasoning Test 06
• Numerical Reasoning Test 07
• Numerical Reasoning Test 08
• Numerical Reasoning Test 09
• Numerical Reasoning Test 10
• Numerical Reasoning Test 11
• Numerical Reasoning Test 12
• Numerical Reasoning Test 13
• Numerical Reasoning Test 14
• Selecting The Odd One Out
• Spatial Reasoning Test 01
• Spatial Reasoning Test 02
• Spatial Reasoning Test 03
• Symbol Rotation Test 01

## ONLINE APTITUDE TESTS TIPS

It is advisable that you take along your own calculator for the tests as the administrator may provide one that you are not familiar with. Because time is of the essence it is important that you use a calculator you know you can use quickly and effectively.

You will find that some verbal reasoning tests require you to answer the questions as True, False or Cannot say based on the information provided. Many test takes get caught out with these tests as they sometimes base their answers on their ‘knowledge’ of a subject matter as opposed to answering the questions based solely on the information provided.

It is very important to understand that accuracy is more important than completing the test. Many employers or test administrators will deduct marks for incorrect answers. You need to work quickly but you should not sacrifice speed for accuracy or results.

• Understanding Information Test 01
• Understanding Information Test 02
• Understanding Information Test 03
• Understanding Information Test 04
• Understanding Information Test 05
• Understanding Information Test 06
• Understanding Information Test 07
• Understanding Information Test 08
• Verbal Comprehension Test 01
• Verbal Comprehension Test 02
• Verbal Reasoning Test 01
• Verbal Reasoning Test 02
• Verbal Reasoning Test 03
• Verbal Reasoning Test 04
• Visual Estimation Test 01
• Work Rate Test 01

#

# FREE PARCC practice tests and sample questions for Math and Language Arts. Includes technology-enhanced questions. Try it now!

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#

# USATestprep, Inc.

### Teacher-developed

USATestprep was founded by two teachers who believe that web-based technology could improve student test performance and curriculum mastery.

### Curriculum Resources

USATestprep offers more than practice questions. It includes games, puzzles, videos, and enhanced technology activities – all aligned to your state’s standards.

### Benchmark Testing

Our diagnostic benchmark system provides a performance snapshot at the student, class, school, and district level.

## Getting Started

USATestprep is very user-friendly! Students and teachers can use the site effectively from the first day of purchase. We also offer a live online training session, as well as tutorial videos on every important aspect of our site.