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Sample QueStionS

2007 amC 8

3. What is the sum of the two smallest primefactors of 250?

(A) 2 (B) 5 (C) 7 (D) 10 (E) 12

8. In trapezoid ABCD, ADis perpendicular to

DC, AD = AB =3, and DC

= 6. In addition, Eis on

DC, and BEis parallel

to AD. Find the area

ofBEC.

(A) 3 (B) 4.5 (C) 6 (D) 9 (E) 18

14. The base of isosceles ABCis 24 and itsarea is 60. What is the length of one of thecongruent sides?

(A) 5 (B) 8 (C) 13 (D) 14 (E) 18

17. A mixture of 30 liters of paint is 25% redtint, 30% yellow tint, and 45% water. Fiveliters of yellow tint are added to the originalmixture. What is the percent of yellow tintin the new mixture?

(A) 25 (B) 35 (C) 40 (D) 45 (E) 50

24. A bag contains four pieces of paper, eachlabeled with one of the digits 1, 2, 3, or4,with no repeats. Three of these pieces aredrawn one at a time without replacement,to contruct a three-digit number. What isthe probability that the three-digit numberis a multiple of 3?

(A)1 (B) 1 (C) 1 (D) 2 (E) 3

4 3 2 3 4

Answers

3.(C)7;8.(B)4.5;14.(C)13;17.(C)40;24.(C)1

2

For 2008-2009 the National Association of Second-ary School Principals (NASSP) has again placed the

AMC 8, AMC 10, and AMC 12 on the NASSP Na-tional Advisory List of Contests and Activities.

2008-2009 ConteSt DateSamC 8 -November 18, 2008

amC 10 - February 10 and/or February 25, 2009amC 12- February 10 and/or February 25, 2009aime - March 17 or April 1, 2009

uSamo - April 28-29, 2009

moSp - June 2009

imo - July 2009, Germany

AMC 8

On Thursday, May 11Contest, sponsoredpolitan Section of thof America (MAA) 238 schools to 6,00area only. Today theseries of five contesinto braille, Spanishparticipate from evthe world.

1950

T

Ame

Math

Compe

Help us celebAmerican Mattions by registo participateAmerican MatTheAMC 8 is dschool studeand below. Thgiven in each p

on Tuesdayduring a conperiod.

Mathematical Association of America

American Mathematics Competitions

amcinfo@maa.org http://www.unl.edu/amc/ 800-527-3690

Decades

of

Excellence

60 years of theAmerican MathematicsCompetitions

are Sponsored by

The akmi Foundtion

with the following Contributors

American Mathematical Association ofTwo-Year Colleges

American Mathematical Society

American Society of Pension Actuaries

American Statistical Association

Art of Problem Solving

Awesome Math

Canada/USA Mathcamp

Casualty Actuarial Society

Clay Mathematics Institute

IDEA Math

Institute for Operations Research andthe Management Sciences

L. G. Balfour Company

Mu Alpha Theta

National Assessment & Testing

National Council ofTeachers of Mathematics

Pedagoguery Software Inc.

Pi Mu Epsilon

Society of Actuaries

U.S.A. Math Talent Search

W. H. Freeman and Company

Wolfram Research Inc.

The MAA AMericAn

MATheMATics coMpeTiTions

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amC 8

math Club paCkageFor an additional $25.00 you can order a Math Club Package, which inHandbook (with a new set of problem worksheets taken from the AMCall the contests given from 2001 through Spring 2008, including the AMCand the USAMO.

Sliffe awarDThe Edyth May Slyear to fifty teache8 schools. This check, a one-year ematical AssociatiNational Council ofa Teacher RecogAward pin. Awara reception duringmeeting.

SChool reSultS

& StuDent awarDSEach participating school receives a copy of thecontest and solutions, individual school results,

school awards, an engraved school awardplaque, and the National Summary of Resultsand Awards booklet.

National Awards are given to all official partici-pants who make a perfect score. An elegantaward plaque is given to the top scoringstudent(s) in each state. In addition, a varietyof student awards are provided. Please see ourwebsite for details.

aDDitional optionS

Spanish, braille, and large print editions of the2008 AMC 8 are available. For details please seethe Registration Form. All requests must be madeno later than three weeks before the contest.

regiStration anD feeS

Register by returning the enclosed registrationform or via the web at www.unl.edu/amc.

Standard fees are as follows:

- Registration & Std Shipping (through Oct. 20) . . . $33- Registration & 2-day Shipping (Oct. 21-Nov. 3 . . $43- Registration & 1-day Shipping (Nov. 4-13) . . . . . . $53

- One bundle o f 10 contes ts . . . . . . . . . . . . . . . . . $11

Schools using a credit card or purchase ordermay register at www.unl.edu/amc or by fax at402-472-6087. We accept Visa and Master-card. When paying by check, please mail yourregistration form with payment well in advanceof the deadline dates.

partiCipation & eligibility

The AMC 8 is for students in the sixth, sev-enth or eighth grade; accelerated fourth

and fifth grade students also take part. TheAMC 8 is a 25-question, 40-minute multiple-choice contest with no penalty for guessing.A students score is the number of problemscorrectly solved. The material covered isthe middle school mathematics curriculum.No problem requires the use of algebra ora calculator. This includes, but is not limitedto, such topics as:

Probability Spatial Visualization Estimation Everyday Applications Percent Reading/Interpreting Graphs

AMC 8 eligibility extends to any student 14.5

years of age or younger on the day of thecontest, and not enrolled in grades 9, 10,11 or 12 or equivalent.

This contest is for individual recognition.

aDminiStrationThe AMC 8 will be given in each participating school on TUESDAY, November 18, 2008, in a convenient 40-minute period. date (Nov 19-Nov 25) is permitted in cases of academic conflicts or school closings. For other scheduling issues please conanswer forms will be scored in the AMC office. Students may not use calculators on the contest.

Home schools must indicate the site of the exam outside the students home and the name of the non-parental proctor. Attaregistration form. Please call the AMC office for details.

purpoSe The Mathematica wants to increaseand to develop pfriendly, and fun ,tions range in diffdifficult in order toof students.

American Mathematics Contest 8

Six poSter Set -When you register for the AMC 8 we will include a free gift a set of six posterscelebrating the sixty years of the American Mathematics Competitions. Each poster will have a topi-cal selection of questions from the contests of that decade. The posters will come with a solutionsbooklet.