Sample questions from the AMC 8

AmericanMathematics Competitionsis a program of The Mathematical Association of America and is sponsored by The Akamai Foundation

ContributorsAcademy of Applied Sciences, American Mathematical Association of Two-Year Colleges, American Mathematical Society,

American Statistical Association, Art of Problem Solving, Awesome Math, Canada/USA Mathcamp, Casualty Actuarial Society,D.E. Shaw & Co., IDEA Math, Institute for Operations Research and the Management Sciences, Jane Street, MathPath,

Math Zoom Academy, Mu Alpha Theta, National Council of Teachers of Mathematics, Pi Mu Epsilon, Society of Actuaries,USA Math Talent Search, W.H. Freeman and Company

American MathematicsCompetitions

amcinfo@maa.org • amc.maa.org1-800-527-3690

American MathematicsCompetitions 8

offeredby

Competition date:Tuesday

November 13, 2012

4:00 – 5:30 p.m.at Hope College

Our PurposeThe mission of the MAA Competitions is to increase interest inmathematics and to develop problem solving through a fun competition.Students gain the opportunity to learn and achieve through competitionwith students in their school and from around the world. Teachers andschools benefit from the chance to challenge students with interestingmathematical questions that are aligned with curriculum standards atall levels of difficulty.

What is the AmericanMathematics Competitions 8?For over 60 years the AMC math contests have been the most respectedschool-based competitions in the nation. The AMC works with teachers,mathematicians, and professional organizations to provide highquality, challenging math problems aligned with curriculum standards.Many well- known colleges and universities request scores from ourcontests at the higher grade levels and use them for recruiting andadmissions.The material covered on the AMC 8 is the middle school mathematicscurriculum. Topics include probability, estimation, percentages, spatialvisualization, everyday applications and reading and interpreting graphs.What are people saying about the AMC?“Our students look forward to competing in up to 20 different mathcontests each year, and the American Mathematics Competitions arethe contests that the students strive to take every year. They generategreat discussions and are a joy of the participating students.”–Mathematics Department Head, Michigan“We are thankful for the American Mathematics Competitions becauseit gives our students the opportunity to compete with otherstudents who have the same passion for mathematics that they do.”–Mathematics Department Chair, Virginia

This year, the PATH program and Hope Collegeare pleased to support our Math students, aswell as other local students who have a strongmath aptitude, by allowing them to participatein the 28th Annual American MathematicsCompetitions 8 (AMC 8) contest. Over 150,000students worldwide participate annually in thishighly regarded competition!Some notes about the competition:

Students must be 14.5 years or younger, and in 8th grade orbelow to participate. Students in grades 6 – 8 are encouragedto participate, but younger PATH students are also eligible. Study guides and links to prior year tests will be distributed viaemail, in order to prepare the students for the competition. Wewill NOT have any formal meetings or practice sessions prior tothe competition day. Students who wish to practice areencouraged to do this preparation at home. No calculators are allowed during the competition!

The competition takes only 40 minutes. There are 25 multiplechoice questions and students are not penalized for guessing! Awards from MAA will be given to perfect scorers, Top scoringstudents in each state, and for other achievements. Students scoring exceptionally well in this competition maybe invited to participate in the AMC10, as well as the AMC12.These upper level competitions can lead to invitation toparticipate on the USA Team at the International MathematicalOlympiad.

Students wishing to register should fill out the enclosedregistration paperwork, and return it with the $5registration fee to the PATH office.

Our PurposeThe mission of the MAA Competitions is to increase interest inmathematics and to develop problem solving through a fun competition.Students gain the opportunity to learn and achieve through competitionwith students in their school and from around the world. Teachers andschools benefit from the chance to challenge students with interestingmathematical questions that are aligned with curriculum standards atall levels of difficulty.

What is the AmericanMathematics Competitions 8?For over 60 years the AMC math contests have been the most respectedschool-based competitions in the nation. The AMC works with teachers,mathematicians, and professional organizations to provide highquality, challenging math problems aligned with curriculum standards.Many well- known colleges and universities request scores from ourcontests at the higher grade levels and use them for recruiting andadmissions.The material covered on the AMC 8 is the middle school mathematicscurriculum. Topics include probability, estimation, percentages, spatialvisualization, everyday applications and reading and interpreting graphs.What are people saying about the AMC?“Our students look forward to competing in up to 20 different mathcontests each year, and the American Mathematics Competitions arethe contests that the students strive to take every year. They generategreat discussions and are a joy of the participating students.”–Mathematics Department Head, Michigan“We are thankful for the American Mathematics Competitions becauseit gives our students the opportunity to compete with otherstudents who have the same passion for mathematics that they do.”–Mathematics Department Chair, Virginia

This year, the PATH program and Hope Collegeare pleased to support our Math students, aswell as other local students who have a strongmath aptitude, by allowing them to participatein the 28th Annual American MathematicsCompetitions 8 (AMC 8) contest. Over 150,000students worldwide participate annually in thishighly regarded competition!Some notes about the competition:

Students must be 14.5 years or younger, and in 8th grade orbelow to participate. Students in grades 6 – 8 are encouragedto participate, but younger PATH students are also eligible. Study guides and links to prior year tests will be distributed viaemail, in order to prepare the students for the competition. Wewill NOT have any formal meetings or practice sessions prior tothe competition day. Students who wish to practice areencouraged to do this preparation at home. No calculators are allowed during the competition!

The competition takes only 40 minutes. There are 25 multiplechoice questions and students are not penalized for guessing! Awards from MAA will be given to perfect scorers, Top scoringstudents in each state, and for other achievements. Students scoring exceptionally well in this competition maybe invited to participate in the AMC10, as well as the AMC12.These upper level competitions can lead to invitation toparticipate on the USA Team at the International MathematicalOlympiad.

Students wishing to register should fill out the enclosedregistration paperwork, and return it with the $5registration fee to the PATH office.

Sample questions from the AMC 8

AmericanMathematics Competitionsis a program of The Mathematical Association of America and is sponsored by The Akamai Foundation

ContributorsAcademy of Applied Sciences, American Mathematical Association of Two-Year Colleges, American Mathematical Society,

American Statistical Association, Art of Problem Solving, Awesome Math, Canada/USA Mathcamp, Casualty Actuarial Society,D.E. Shaw & Co., IDEA Math, Institute for Operations Research and the Management Sciences, Jane Street, MathPath,

Math Zoom Academy, Mu Alpha Theta, National Council of Teachers of Mathematics, Pi Mu Epsilon, Society of Actuaries,USA Math Talent Search, W.H. Freeman and Company

American MathematicsCompetitions

amcinfo@maa.org • amc.maa.org1-800-527-3690

American MathematicsCompetitions 8

offeredby

Competition date:Tuesday

November 13, 2012

4:00 – 5:30 p.m.at Hope College

Registration form to participate in the 2012

American Mathematics Competitions 8Tuesday, November 13, 2012

at Hope CollegeHolland, MI

Student Name ______________________________________Address ___________________________________________City _______________ State _____ Zip Code ___________Email address ______________________________________

for correspondence and Study Guides

Parent / Guardian Names _____________________________Parent / Guardian contact phone number _________________

** for Emergency purposes on the day of the Competition

We understand that this is a voluntary competition, intended to challenge mychild and allow him/her the opportunity to participate in a competition with otherstudents who have a similar passion for mathematics. My child’s score in thiscompetition will not have any effect on their PATH grade, or math gradereceived from their school.

I understand that there is a $5 non-refundable registration fee, payable with thisregistration. This fee indicates our commitment to my child participating in thecompetition on November 13th. (Please notify the PATH office if you are inneed of a scholarship to cover this cost). Students must be present on November13, 2012 from 4 – 5:30 p.m. to be allowed to participate, no alternate dates ortimes are allowed for the competition.

Parent/ Guardian Signature ____________________________

Registration form to participate in the 2012

American Mathematics Competitions 8Tuesday, November 13, 2012

at Hope CollegeHolland, MI

Student Name ______________________________________Address ___________________________________________City _______________ State _____ Zip Code ___________Email address ______________________________________

for correspondence and Study Guides

Parent / Guardian Names _____________________________Parent / Guardian contact phone number _________________

** for Emergency purposes on the day of the Competition

We understand that this is a voluntary competition, intended to challenge mychild and allow him/her the opportunity to participate in a competition with otherstudents who have a similar passion for mathematics. My child’s score in thiscompetition will not have any effect on their PATH grade, or math gradereceived from their school.

I understand that there is a $5 non-refundable registration fee, payable with thisregistration. This fee indicates our commitment to my child participating in thecompetition on November 13th. (Please notify the PATH office if you are inneed of a scholarship to cover this cost). Students must be present on November13, 2012 from 4 – 5:30 p.m. to be allowed to participate, no alternate dates ortimes are allowed for the competition.

Parent/ Guardian Signature ____________________________

Registration form to participate in the 2012

American Mathematics Competitions 8Tuesday, November 13, 2012

at Hope CollegeHolland, MI

Student Name ______________________________________Address ___________________________________________City _______________ State _____ Zip Code ___________Email address ______________________________________

for correspondence and Study Guides

Parent / Guardian Names _____________________________Parent / Guardian contact phone number _________________

** for Emergency purposes on the day of the Competition

We understand that this is a voluntary competition, intended to challenge mychild and allow him/her the opportunity to participate in a competition with otherstudents who have a similar passion for mathematics. My child’s score in thiscompetition will not have any effect on their PATH grade, or math gradereceived from their school.

I understand that there is a $5 non-refundable registration fee, payable with thisregistration. This fee indicates our commitment to my child participating in thecompetition on November 13th. (Please notify the PATH office if you are inneed of a scholarship to cover this cost). Students must be present on November13, 2012 from 4 – 5:30 p.m. to be allowed to participate, no alternate dates ortimes are allowed for the competition.

Parent/ Guardian Signature ____________________________