2.8: Proficiency Exam - Mathematics

2.8: Proficiency Exam - Mathematics

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Exercise (PageIndex{1})

In the multiplication of (8 imes 7 = 56), what are the names given to the 8 and 7 and the 56?


8 and 7 are factors; 56 is the product

Exercise (PageIndex{2})

Multiplication is a description of what repeated process?



Exercise (PageIndex{3})

In the division (12 div 3 = 4), what are the names given to the 3 and the 4?


3 is the divisor; 4 is the quotient

Exercise (PageIndex{4})

Name the digits that a number must end in to be divisible by 2.


0, 2, 4, 6, or 8

Exercise (PageIndex{5})

Name the property of multiplication that states that the order of the factors in a multiplication can be changed without changing the product.



Exercise (PageIndex{6})

Which number is called the multiplicative identity?



For problems 7-17, find the product or quotient.

Exercise (PageIndex{7})

(14 imes 6)



Exercise (PageIndex{8})

(37 imes 0)



Exercise (PageIndex{9})

(352 imes 1000)



Exercise (PageIndex{10})

(5986 imes 70)



Exercise (PageIndex{11})

(12 imes 12)



Exercise (PageIndex{12})

(856 div 0)


not defined

Exercise (PageIndex{13})

(0 div 8)



Exercise (PageIndex{14})

(136 div 8)



Exercise (PageIndex{15})

(432 div 24)



Exercise (PageIndex{16})

(5286 div 37)


142 remainder 32

Exercise (PageIndex{17})

(211 imes 1)



For problems 18-20, use the numbers 216, 1,005, and 640.

Exercise (PageIndex{18})

Which numbers are divisible by 3?


216; 1,005

Exercise (PageIndex{19})

Which number is divisible by 4?


216; 640

Exercise (PageIndex{20})

Which number(s) is divisible by 5?


1,005; 640

Free Common Core: 8th Grade Math Practice Tests

Varsity Tutors&rsquo Learning Tools provide a number of materials designed to help middle school learners study and prepare for the exam your state uses to evaluate Common Core mastery. Using the Learning Tools, students are able to review free Common Core Eighth Grade Mathematics study material. Making full use of the Common Core Eighth Grade Mathematics study help is the perfect way to ensure that your learner is working toward meeting the required standard for eighth grade mathematics.

Common Core Eighth Grade Mathematics requires that students understand material in three core concepts in order to pass: linear systems and equations, quantitative relationships, and the Pythagorean Theorem. Using Varsity Tutors&rsquo Learning Tools for Common Core Eighth Grade Mathematics is a great way to support your learner as he or she reviews the skills needed to pass the exam. There are a number of Eighth Grade Common Core Math resources on Varsity Tutors&rsquo Learning Tools website, including flashcards, daily questions, and an interactive syllabus.

An excellent way to kick-start your learner&rsquos Common Core Eighth Grade Mathematics exam review is by making use of the practice tests available on the Varsity Tutors&rsquo Learning Tools website. Students are able to choose between a variety of Common Core Eighth Grade Mathematics practice tests. Each test is categorized by concept, including expression and equations, functions, geometry, statistics, and the number system.

One of the greatest features of the Common Core Eighth Grade Mathematics practice tests is the ability to track your learner&rsquos results. After each test is completed, you are taken to a page where the results are summarized. You are also shown a number of graphs that help you visualize your learner&rsquos percentile ranking, score, and time spent on each question. The best feature, however, are the explanations that follow each Eighth Grade Mathematics sample question. Not only do the explanations give important definitions and formulas, but they provide a step-by-step breakdown of difficult material to make the concepts easier to understand.

Once your learner has completed his or her online Common Core Math practice tests, you may wish to ask your student to try a Full-Length Eighth Grade Common Core Math Practice Test to evaluate his or her capabilities. The full-length practice test has 40 Common Core Eighth Grade Mathematics sample questions designed to mimic the actual test. It covers all of the concepts that may be present on the exam. After finishing the test, be sure to look at how much time your learner spent on each section. This is useful when compiling a study plan, as the official standardized test will be timed.

The Common Core Eighth Grade Mathematics Practice Tests can help improve your learner&rsquos understanding of the material, build the student&rsquos confidence, and prepare him or her for standardized testing. They are an excellent way to review, whether it is simple revision or learning Common Core concepts from scratch. Varsity Tutors&rsquo Learning Tools provide an easy way to design a comprehensive, individualized Eighth Grade Common Core Mathematics study plan.

Spend some time reviewing the previous exams and relevant documents:

Please review the most recent New York State Math test for grades four through six.

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Historical Scale Score Ranges

Below are the scale score ranges for assessments that were not administered in the 2017-18 school year. They include all levels on the grades 3-8 (Reading, Math, and Writing) Measurements of Student Progress (MSP), Grade 11 Smarter Balanced Assessments, High School Proficiency Exam (HSPE) and the End-of-Course (EOC) exams. HSPE and MSP are the same scale score ranges as the Washington Assessment of Student Learning (WASL), which was replaced as of 2009-10 school year. The scale score ranges include the lowest and highest attainable score on each test (reading, writing, math, and science).

Free Common Core: 5th Grade Math Practice Tests

The Common Core Fifth Grade Mathematics exam, which each state uses to evaluate Common Core curriculum proficiency, is designed to measure a student&rsquos ability to comprehend and work with the material used in a typical fifth grade mathematics curriculum. The test requires that students have a working knowledge of three main components: multiplication and division of fractions, how volume is measured within a three-dimensional space, and whole numbers, prime numbers, and decimals. While the material can seem challenging at times, Varsity Tutors&rsquo Learning Tools give you the opportunity to use online Common Core Fifth Grade Mathematics study help. The resources are free and comprehensive, and are a great way to enhance your Fifth Grade Common Core Mathematics review.

Varsity Tutors&rsquo Learning Tools gives you access to a wide range of free Common Core Fifth Grade Mathematics study material. The resources are available on the Learning Tools website and are easy to navigate. You can choose among the Question of the Day, hundreds of flashcards, and a detailed curriculum designed to simplify concept review. After reviewing the content, you may find it helpful to take advantage of the online practice tests. These tests can be taken at your convenience, and are an excellent way to measure your learner&rsquos skill level as well as track his or her progress.

The Varsity Tutors&rsquo Learning Tools website has a wide variety of Common Core Fifth Grade Mathematics practice tests. These tests are an excellent way to help your elementary learner prepare for his or her exam. Many of practice tests are arranged by concept, such as geometry, measurement, complex numbers, and algebraic thinking. You also are given a number of general problem sets, which consist of Fifth Grade Mathematics sample questions designed to emulate the problems on your state&rsquos official exam. Your learner may also benefit from using the free Common Core Fifth Grade Mathematics full-length practice tests, too. Each full-length practice test contains 40 Fifth Grade Mathematics sample questions which are designed to simulate the content on the actual exam. This is a perfect way to help your elementary learner become familiar with the test&rsquos content, as well as build his or her confidence in the overall standardized testing process.

One of the best features of Varsity Tutors&rsquo Learning Tools Common Core Fifth Grade Mathematics practice tests is the results tab at the end of each test. Not only are you given the test results, but the Learning Tools also provide you with a detailed explanation for each problem&rsquos solution. This is a great way to clear up any confusion and help you reinforce the material. Furthermore, you can see the difficulty of each question, and where your learner ranks in terms of percentile standings.

By using Varsity Tutors&rsquo Learning Tools and practice tests online, you can construct a Fifth Grade Common Core Math study regimen that best suits your learner&rsquos needs. By being able to track his or her progress, and see which topics your learner is spending the most time on, you may be able to get a better idea of which concepts you should focus on studying. Whether you need to prepare your elementary learner for test day, or simply brush up on his or her Common Core Fifth Grade Mathematics review, Varsity Tutors has the resources for you.

Attaching a Middle Grades Approved Area to a Teaching Certificate

Teachers holding a valid elementary certificate who want to attach a middle grades approved area (general science, language arts/reading, mathematics, and social studies) to their certificate must pass the corresponding test(s). Teachers holding a valid secondary certificate must have a secondary approved area prior to adding a middle grades approved area to their certificate. Please visit the ADE Certification Unit's website for more information.

Approved Area Test Required
Middle Grades General Science Middle Grades General Science
General Science
Middle Grades Language Arts/Reading Middle Grades English Language Arts
English Language Arts
Middle Grades Mathematics Middle Grades Mathematics
Mathematics (Middle Grades and Early Secondary)
Middle Grades Social Studies Middle Grades Social Science
Social Science


You can create an account and register on this website for edTPA and the AAFCS, PACT, TASC, TASC&ndashASL, and TExES exams.

The AAFCS, PACT, and TExES exams are administered as computer-administered tests (CAT) TASC and TASC&ndashASL use an interview format and edTPA is a portfolio-based assessment.

Information about each Texas educator certification exam and edTPA. Select your exam/assessment below for information about: dates and sites fees and payment requesting alternative arrangements registration, testing, and score reporting policies passing scores preparation materials and more.

A Pre-Admission Content Test (PACT) can be used for admission to an alternative certification or post-baccalaureate educator preparation program (EPP). PACT exams are not the same as the TExES content-pedagogy certification exams used for standard certification. For more information about the PACT exams, including other authorized testing applications and areas for which a PACT exam is not applicable, see the Pre-Admission Content Test page in the EPP section of this website.

Please note, candidates who need to take a PACT exam for the following areas should take TX PACT: Essential Academic Skills (700).

  • Core Subjects: Early Childhood&ndashGrade 6
  • Deaf and Hard of Hearing: Early Childhood&ndashGrade 12
  • Special Education: Early Childhood&ndashGrade 12

For more information about which PACT exam is associated with each Texas Certificate, see the Pre-Admission Content Test page on the Texas Education Agency website.

Exam CodeExam
272Agriculture, Food and Natural Resources 6&ndash12
184American Sign Language (ASL)
178Art EC&ndash12
164Bilingual Education Supplemental
190Bilingual Target Language Proficiency Test (BTLPT) Spanish
283Braille (UEB)
276Business and Finance 6&ndash12
240Chemistry 7&ndash12
241Computer Science 8&ndash12
211Core Subjects 4&ndash8
291Core Subjects EC&ndash6 (last exam administration 12/31/2021)
391Core Subjects EC&ndash6
279Dance 6&ndash12
181Deaf and Hard-of-Hearing
292Early Childhood: PK&ndash3
253Educational Diagnostician
154English as a Second Language Supplemental
117English Language Arts and Reading 4&ndash8
231English Language Arts and Reading 7&ndash12
113English Language Arts and Reading/Social Studies 4&ndash8
162Gifted and Talented Supplemental
157Health EC&ndash12
273Health Science 6&ndash12
233History 7&ndash12
256Journalism 7&ndash12
610Languages Other Than English (LOTE) French
611Languages Other Than English (LOTE) German
612Languages Other Than English (LOTE) Latin
613Languages Other Than English (LOTE) Spanish
238Life Science 7&ndash12
275Marketing 6&ndash12
115Mathematics 4&ndash8
235Mathematics 7&ndash12
274Mathematics/Physical Science/Engineering 6&ndash12
114Mathematics/Science 4&ndash8
177Music EC&ndash12
160Pedagogy and Professional Responsibilities EC&ndash12
270Pedagogy and Professional Responsibilities for Trade and Industrial Education 6&ndash12 (last exam administration 9/5/2021)
370Pedagogy and Professional Responsibilities for Trade and Industrial Education 6&ndash12 (first exam administration 9/6/2021)
158Physical Education EC&ndash12
237Physical Science 6&ndash12
243Physics/Mathematics 7&ndash12
268Principal as Instructional Leader
151Reading Specialist
152School Counselor (last exam administration 9/5/2021)
252School Counselor (first exam administration 9/6/2021)
150School Librarian
116Science 4&ndash8
236Science 7&ndash12
293Science of Teaching Reading
118Social Studies 4&ndash8
232Social Studies 7&ndash12
161Special Education EC&ndash12
163Special Education Supplemental
129Speech 7&ndash12
242Technology Applications EC&ndash12
171Technology Education 6&ndash12
180Theatre EC&ndash12
182Visually Impaired

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Common Entrance, Placement & Certification Exams

Entering CSU students with less than 56 semester or 84 quarter units must submit either ACT or SAT test scores before eligibility for admission can be determined.

CBEST (California Basic Education Skills Test)

Students who wish to qualify for a preliminary Multiple Subject Credential or Single Subject Credential must pass the CBEST.

CLEP (College Level Examination Program)

CSUF grants undergraduate college credit to students who achieve passing scores on certain CLEP examinations.

CSET (California Subject Examinations for Teachers)

Students working towards a teaching credential may be required to take the CSET in order to verify subject matter competency.

DAT (Dental Admission Test)

Students desiring to enter dental school are required to take the DAT.

EIT (Engineer in Training Exam)

The EIT is the first step toward qualification as a registered Professional Engineer.

EWP (Examination in Writing Proficiency)

Students in certain gradaute programs must pass the EWP to as part of a pre-requisite or to complete thier degree.

GED (General Educational Development Examination)

The GED exam provides persons who have not completed high school an opportunity to achieve credit equivalent to high school graduation.

GMAT (Graduate Management Admission Test)

Students wishing to enter graduate programs in business are often required to take the GMAT.

GRE (Graduate Record Examination)

Students desiring to enter a wide range of graduate programs may be required to take the GRE.

LSAT (Law School Admission Test)

Students desiring to enter law school may be required to take the LSAT.

MCAT (Medical College Admission Test)

Students desiring to enter medical school are required to take the MCAT.

MQE (Mathematics Qualifying Exam)

Students at CSUF who wish to enroll in Mathematics 130, 135 or 150A must pass the MQE.

SAT (SAT I) and Subject Tests (SAT II)

Entering CSU students with less than 56 semester or 84 quarter units must submit either ACT or SAT-I test scores before eligibility for admission can be determined.

TOEFL (Test of English as a Foreign Language)

All applicants to CSUF regardless of citizenship, whose native language or language of instruction is other than English are required to present scores for the Test of English as a Foreign Language.

PTE (Pearson Test of English)

The PTE measures communicative skills listening, reading, speaking, and writing skills for non-native speakers of English.

Passing scores:

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Test Your Child’s Academic Proficiency With ABCmouse

I hate to say it, but summer is almost over. While most of us have been chasing sunsets and hitting the beach every spare moment, the summer has slowly been slipping away, and the last thing on the minds of our kids is homework. With all that time away from the books and lessons, it takes a major hit to a child’s education.

When they go back to school, a significant amount of time is often spent reviewing material they have already learned. If a child has special needs, summer break can make it even more difficult for them to come back to school. Is your child ready for the new school year?

It isn’t too late to help regain some of those lessons to get ready for the new year and test their school readiness. ABCmouse has interactive games and lessons for kids aged 2-8 that have been designed in collaboration with early childhood experts to go beyond basic memorization skills and actually promote content comprehension.

If you have a child aged 8-13, then check out Adventure Academy!

The subscription-based site is also available in app format for your smartphone or tablet. There are no pop-ups, ads, or affiliate links so your child can learn without distraction.

The site offers games and lessons on a variety of subjects from reading and math to art and music. With a virtual classroom, children can interact in a familiar setting while exploring subjects in a fun and safe way while they earn “tickets” to trade for online items to decorate their virtual room or even buy a pet.

These incentives keep them coming back to learn more.

One of the most useful tool is the assessment tests for Preschool, Kindergarten and First Grade. Sometimes it can be difficult to know if your child is ready for school or to move up to the next grade. They might have strong skills in one area, but difficulty in others which may not be apparent until they are tested.

With the assessment tests on ABCmouse, parents can get an idea of how well their child is doing and where they need improvement. By evaluating their skills during the summer, it allows your child sufficient time to prepare for a new school year with your guidance.

Need creative ways to entertain and educate your kids? We have lots of free printable activities!

When your child is ready to go back to school and learn new concepts, it can help prevent them from falling behind and becoming frustrated or self-conscious in school.

Each assessment covers multiple subjects, and it is graded at the end. There are also recommended assignments in the areas that need improvement. The results are saved and the tests can be retaken and compared to rate progress over time.

When my son started using ABCmouse, we tested his proficiency for preschool just to see how well he would perform. He still has plenty of time before he goes, but it is never too early to start working on the building block lessons.

He did about as well as I expected. He knew some of the answers, but he was nowhere near ready for preschool. We had him work on the recommended lessons over the summer just to start strengthening his skills.

After only a few months of using ABCmouse, there has been marketed improvement in his performance.

By working on those basic concepts just a little each day he is already doing a much better. He is much faster at recognizing his letters both upper and lower case as well as recognizing the sounds of letters in words. It has made him understand all those everyday lessons we have been verbalizing to him.

We have spent plenty of time practicing ABCs, counting, shapes, and colors, but to see these ideas come to life on the screen and test his knowledge has been a “lightbulb” moment for him. It has made him more confident and aware which has been so rewarding to see.

This is a subscription we will continue throughout his schooling.

As parents, we are their first teachers, and it is up to us to instill education basics in them. We have to give them the tools to succeed in school, and with ABCmouse, you can give them the basics to excel in a school environment. Teachers may give lessons, but we have to be able to help them apply it to real-life outside of the classroom.

From ages 2 to 8, ABCmouse is a great monthly subscription that only costs $7.95 per month. If you have a child aged 8-13, then check out Adventure Academy!

They have just released more second-grade content making over 8,500 standard-based learning activities and 850 lessons across 10 learning levels. This could be what takes your child from average student to excellent student.

In these formative years, their brain development and confidence are what allow them to succeed in school. Give them the support and resources they need for a positive school experience that will stay with them into adulthood.

Thank you to ABCmouse for providing a subscription for this review. This post also contains affiliate links.

University of Michigan Mathematics Placement Testing

How This Works:
The Mathematics Placement Test is combined with several other factors to predict the mathematics course in which new students at the University will have the greatest success. After you have completed the test your placement is sent to your academic advisor, with whom you meet before registering.

This Test and Math at Michigan:
The placement test covers only precalculus mathematics: thus, you will see some, but not all, of the math you have learned. It is also a placement test, not a preview of math courses at Michigan. The mathematics course(s) you will take here are very different from the test, use calculators extensively and emphasize conceptual understanding.

Take the placement test as instructed by the Office of New Student Programs before participating in orientation. It is essential that you take the test before you complete your advising and registration sessions. If you anticipate having trouble doing this, please contact the Office of New Student Programs, <onsp(at)umich(dot)edu> or 734-764-6413, as soon as possible.

To take the test, you need:

  • Your University of Michigan uniqname, and Kerberos login password. See the FAQ if you don't know your uniqname or password.
  • To be on the testing roster: this is done automatically by the Office of New Student Programs. Please contact them if you have trouble entering the test (at (734) 764-6413 or < [email protected] >).
  • A computer with a modern web browser and internet connection. Obviously, the better your Internet connection, the better the test will work.
  • Enough time: you have a maximum of fifty minutes to complete the test, and you must finish it once you have started. No calculators or other resources are allowed when taking the test. To take the test, see the instructions page.

Other Information:
If you have questions about the Mathematics Placement Test, please refer to the FAQ (list of frequently asked questions). This includes information about how your placement is affected by transfer or AP credit

What Tests Should I Take?

  • If you are a transfer student, the tests you’ll take depend on the courses you’ve already taken and the courses you plan to take at Elmhurst. Check your Transfer Credit Evaluation and speak with your admission counselor for more information.
  • If you are a first-year student, you are required to take the Mathematics and Foreign Language Placement exams at least seven days before your advising date. You can also take the optional Writing Placement exam online prior to your advising date. Taking these exams prior to your advising date ensures that your advisor will have the results at your advising appointment.

Watch the video: C2 Proficiency Speaking test - Derk and Annick. Cambridge English (May 2022).