You are here

1999 American High School Mathematics Exam (AHSME) Invitation Brochure

Invitation Brochure
For The
American Mathematics Competitions


(AMC -> 10 and AMC -> 12)

TUESDAY, February 15, 2000
See Section VI. For alternate dates

See inside for Registration Information,
Fees & Deadlines

Save $5 - $10 for Early Registration!

Address all orders and registrations to:
Titu Andreescu, Director
American Mathematics Competitions
University of Nebraska-Lincoln
Lincoln, NE 68588-0658 U.S.A.

Print and Mail the AMC Registration Form to the above address.
After Jan. 15 registrations will be taken by FAX or phone.

FAX: 402-472-6087
Telephone: 800-527-3690
Use of Toll Free Number (Please-Teachers only)

1999-2000 AMC exam dates:
AMC->8-TUESDAY, November 16, 1999
AMC->10/AMC->12-TUESDAY, February 15, 2000
AIME-TUESDAY, March 21, 2000
USAMO-TUESDAY, May 2, 2000

I. Invitation and Participation

A CORDIAL INVITATION is extended to your school to participate in the 51th annual American Mathematics Contest (AMC->10/AMC->12) to be held on TUESDAY, February 15, 2000. Over 340,000 students from over 5,000 schools participated in 1999. The National Association of Secondary School Principals has placed this program on the NASSP, National Advisory List of Contests & Activities for 1999-2000. We hope very much that you will participate!

II. Purpose

The purpose of the exam is to spur interest in mathematics and develop problem solving talent through the excitement of friendly competition in a timed format. In order to challenge students at all grade levels, and with varying talents, the problems range from easy to extremely difficult. Students who have not taken the AMC previously should look at prior years of the AMC in order to set reasonable goals for themselves on their first attempt.

III. Exam Subject Matter & Format

The AMC covers high school mathematics excluding calculus. It is a 25-question, 75-minute multiple choice exam with 6 points given for each correct answer and 2 points for each answer left blank. The exam is centrally scored at the office of the Director in Lincoln, Nebraska. AMC->12 participants scoring 100 or greater and AMC->10 participants scoring in the top 1% will be invited to take the American Invitational Mathematics Examination (AIME) which takes place 5 weeks after the AMC.

IV. Registration Deadlines and Fees

Registration may be accomplished by mailing the Registration Form included in this brochure. Fees for each school wishing to register are as follows:

The $25 on the 2nd deadline is one space to the right of the other two. 
Registration (By Dec. 31)......................$20
2nd Registration (Jan. 1 - Jan. 15)........$25*
Late Registration (after Jan. 15).........$30*
*(Canada Schools: disregard 2nd & late registration)

Exams (including student answer forms) are sold in Bundles of 10 @ $10.00 per bundle. The minimum charge for a school wishing to participate in the AMC is $30.00 (including the early registration fee) and would enable 10 students to participate.

Late Registrations (after Jan. 15) will be accepted via FAX 402-472-6087 or phone 1-800-527-3690. Visa & MasterCard are accepted, or we require a Purchase Order # for billed orders which will include a $3 billing fee. If a Purchase Order is not appropriate we will require a "Letter of Intent to Pay" which can be faxed to you. This letter can be used either if you intend to send a check or if you want to be billed without a Purchase Order.

Please submit your registration as soon as possible. Early registration will reduce your cost, assure you of ample time to read the AMC Teachers Manual and complete pre-examination activities.

V. Participation Rules & Eligibility

The AMC is to be given in each participating school on TUESDAY, February 15, 2000, in a convenient 75-minute interval, preferably the first two morning periods. All students taking the AMC must do so during the same 75-minute interval.

Who is eligible to participate?

  1. Any student who is officially enrolled in high school, and is taking at least one course (in grade 10 or below for AMC->10);
  2. Students in lower grade levels;
  3. Home school students (18 or under, 16 or under for AMC->10).

TO RECEIVE OFFICIAL TEAM STATUS AND AWARDS, A SCHOOL MUST HAVE AT LEAST THREE PARTICIPANTS. The team score for a school is the sum of its three highest student scores. These students must be citizens or permanent residents of the U.S.A. or Canada. The AMC must be proctored by a faculty member of the participating school.

The results of the AMC are used to identify students with unusual mathematical ability. To assure that this purpose is served, the Committee on the American Mathematics Competitions reserves the right to re-examine students before deciding whether to grant official status to individual or team scores.

Re-examination will be requested when, after an inquiry, there is a reasonable basis to believe that scores have been obtained by extremely lucky guessing or dishonesty. Official status will not be granted if a student or school does not agree to a requested re-examination. The Committee also reserves the right to disqualify all scores from a school if it is determined that the required security procedures were not followed.

VI. Alternate AMC Dates

Early administration of the exam is never permitted and will lead to disqualification since this would jeopardize all scores from other participating schools.

There is only one official date for the administration of the exam, namely, TUESDAY, February 15, 2000. However, it may be given unofficially on the school days from February 16 - 22, 1999. Those who take the AMC->12 officially and score at least 100 or who take the AMC->10 and score in the top 1% will qualify for the American Invitational Mathematics Examination (AIME) and are eligible for national awards. Those taking the AMC unofficially may also qualify for the AIME, but will not be eligible for national awards.

VII. Security & Integrity of the Exam

Since the exam can be given on alternate dates (see Item VI above), to protect its integrity, publication or reproduction of the problems/solutions via copier, telephone, eMail, WWW or media of any type is a violation of the copyright law.

VIII. Calculators

No problems on the exam will require the use of a calculator. However any non-typewriter keyboard calculator may be used during the exam including the TI-89.

IX. Braille, Large Print, Spanish and French Exams
All requests must be made no later than January 15, 1999.

Braille and Large Print editions of the 2000 AMC will be available at a cost of $1.00 for each exam ordered plus $3 for postage and handling. Spanish and French editions of the 2000 AMC may be requested at no extra cost.

Puerto Rico Schools: Please indicate on the Registration Form if you want Spanish or English exams.

X. AMC Results and National Awards

The registration fee provides each participating school with a copy of the exam and solutions pamphlet, individual school results, intramural awards and a detailed National Summary of Results and Awards.

The U.S.A. and Canada are divided into eleven exam regions. Awards are given in each of these regions to five schools and ten students. In addition, National Awards are given to all students who officially participate in the exam and write a perfect paper.

An elegant award plaque is given to the top scoring student in each state, and all schools returning results for three consecutive years will receive a 12-Year Plaque with the top scoring students name engraved. Each year thereafter an engraved nameplate will be sent indicating the top scoring student.

XI. Intramural Awards

  • A School Winner Pin or Medal is awarded to a student in each school with the highest score.
  • A Gold, Silver or Bronze Medal is awarded to a student who achieves the highest score in the school for four, three, or two consecutive years, respectively.
  • An Honor Roll of Distinction Pin is awarded to the top scoring one percent of the AMC students.
  • A Certificate of Distinction is awarded to all students with a score of 100 or above.
  • A Certificate of Merit is awarded to schools with a team score of at least 300.

XII. Teacher Recognition

Each year twenty teachers whose students do well on the AMC are recognized for their distinguished teaching with the Edyth May Sliffe Award. The award winners receive a cash prize, a certificate and a one-year membership in the Mathematical Association of America. The selection of the winners is based on the school team score and recommendation of the team members.


Students who score at least 100 on the AMC->12 or who score in the top 1% on the AMC->10 are automatically invited to participate in the American Invitational Mathematics Examination (AIME), scheduled for TUESDAY March 21, 2000. The top-scoring U.S.A. AMC/AIME students (according to a weighted average) will be invited to take the prestigious U.S.A. Mathematical Olympiad (USAMO) on TUESDAY May 2, 2000. More details about these competitions are provided in the AMC Teachers' Manual which you will receive after registering your school for the AMC.

1999 AHSME Sample Questions

1999 AHSME Answers

XIV. AMC Publications
All prices effective through Sept. 1, 1999

Contest Problem Books I-IV
contain AHSME questions and solutions for the years indicated.

Contest Problem Book V
contains both AHSME and AIME questions and solutions 1983-1988.

USAMO and IMO Problem Books
contain USA and International questions and solutions for the years indicated.

Mathematical Contest Books
contain Olympiad problems and solutions from around the world.

American High School Mathematics Examinations
Each Specimen Set (at $1 per year) of prior year examinations consists of a question booklet and a solutions pamphlet. Also available in bundles of 10 (same year) for $5.

American Invitational Mathematics Examination
Each Specimen Set (at $2 per year) of prior year examinations consists of a question booklet and a solutions pamphlets.

U.S.A. and International Mathematical Olympiad
Each pamphlet (at $5 per year) contains the problems and solutions to the annual Olympiads.

The Arbelos (at $8 per volume) is a publication containing articles and challenging problems for gifted students. A special Geometry Volume is also available. This volume is a collection of the geometry cover problems from the original Arbelos subscription

National Summary of Results and Awards
This booklet (at $10 per year) contains a listing of School and Student Award recipients, Honor Roll Student lists, Edyth May Sliffe Award Winners and statistical tables.

Sponsoring Organizations
Mathematical Association of America
Society of Actuaries
Mu Alpha Theta
National Council of Teachers of Mathematics
Casuality Actuarial Society
American Statistical Association
American Mathematical Association of Two-Year-Colleges
American Mathematical Society
American Society of Pension Actuaries
Consortium for Mathematics and its Applications
Pi Mu Epsilon
National Association of Mathematicians
School Science and Mathematics Association
Clay Mathematics Institute
University of Nebraska, Lincoln

Titu Andreescu, Director
American Mathematics Competitions
University of Nebraska-Lincoln
Lincoln, NE 68588-0658 U.S.A.
Tel: 402-472-6566, Fax: 402-472-6087