9th Annual American Mathematics Contest 10 - AMC 10 - Exam Instructions

Sep 29, 2026

9th Annual American Mathematics Contest 10 (AMC 10) Contest A is a 25-question multiple-choice test where each problem is followed by answer choices A through E with only one correct. Students must mark answers on the official AMC 10 Answer Form using a #2 pencil, following scoring rules awarding 6 points for correct answers, 1.5 for unanswered, and 0 for incorrect. Calculators are not permitted, and students work for 75 minutes before signing the answer form.

LanguageEnglish

CategoryExam

FormatPDF

Pages8

Reading Time20 min

AccessFree to download

Contest Instructions

Test format and answer marking

Scoring and allowed tools

Time limit and eligibility guidance

Tuesday, February 12, 2008 9th Annual American Mathematics Contest 10 AMC 10 Contest A The MATheMATICAL ASSOCIATION Of AMeRICA American Mathematics Competitions 1. DO NOT OPEN THIS BOOKLET UNTIL YOUR PROCTOR GIVES THE SIGNAL TO BEGIN. 2. This is a 25-question, multiple choice test. Each question is followed by answers marked A, B, C, D and E. Only one of these is correct. 3. Mark your answer to each problem on the AMC 10 Answer Form with a \#2 pencil. Check the blackened circles for accuracy and erase errors and stray marks completely. Only answers properly marked on the answer form will be graded. 4. SCORING: You will receive 6 points for each correct answer, 1.5 points for each problem left unanswered, and 0 points for each incorrect answer. 5. No aids are permitted other than scratch paper, graph paper, ruler, compass, protractor, and erasers. No calculators are allowed. No problems on the test will require the use of a calculator. 6. Figures are not necessarily drawn to scale. 7. Before beginning the test, your proctor will ask you to record certain information on the answer form. When your proctor gives the signal, begin working the problems. You will have 75 MINUTES to complete the test. 8. When you finish the exam, sign your name in the space provided on the Answer Form. Students who score 120 or above or finish in the top 1% on this AMC 10 will be invited to take the 26th annual American Invitational Mathematics Examination (AIME) on Tuesday, March 18, 2008 or Wednesday, April 2, 2008. More details about the AIME and other information are on the back page of this test booklet. | The Committee on the American Mathematics Competitions (CAMC) reserves the right to re-examine students before deciding whether to grant official status to their scores. The CAMC also reserves the right to disqualify all scores from a school if it is determined that the required security procedures were not followed. | | --- | | The publication, reproduction or communication of the problems or solutions ofthe AMC 10 during the period when students are eligible to participate seriously jeopardizes the integrity of the results. Dissemination via copier, telephone, e-mail, WorldWide Web or media of any type during this period is a violation of the competition rules. After the contest period, permission to make copies of problems in paper or electronic form including posting on web-pages for educational use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear the copyright notice. | Copyright © 2008, The Mathematical Association of America 9th AMC 10 A 2008 2 1. A bakery owner turns on his doughnut machine at 8:30 am. At 11:10 am the machine has completed one third of the day's job. At what time will the doughnut machine complete the job? (A) 1:50 pm (B) 3:00 pm (C) 3:30 pm (D) 4:30 pm (E) 5:50 pm 2. A square is drawn inside a rectangle. The ratio of the width of the rectangle toa side of the square is 2:1 . The ratio of the rectangle's length to its width is 2:1 . What percent of the rectangle's area is inside the square? (A) 12:5 (B) 25 (C) 50 (D) 75 (E) 87:5 3. For the positive integer n, let denote the sum of all the positive divisors of n with the exception of n itself. For example, <4> = 1 + 2 = 3 and <12> = 1 + 2 + 3 + 4 + 6 = 16 . What is <<<6>>>? (A) 6 (B) 12 (C) 24 (D) 32 (E) 36 4. Suppose that ~~2~~3 of 10 bananas are worth as much as 8 oranges. How many oranges are worth as much as ~~1~~2 of 5 bananas? (A) 2 (B) 5~~2~~ (C) 3 (D) 7~~2~~ (E) 4 5. Which of the following is equal to the product 8 12 16 4n + 4 2008 4 ¢ 8 ¢ 12 ¢ ¢ ¢ ¢ ¢ 4n ¢ ¢ ¢ ¢ ¢ 2004 ? (A) 251 (B) 502 (C) 1004 (D) 2008 (E) 4016 6. A triathlete competes in a triathlon in which the swimming, biking, and running segments are all ofthe same length. The triathlete swims at a rate of 3 kilometers per hour, bikes at a rate of 20 kilometers per

FAQs

How are AMC 10 answers marked and submitted?

Mark each problem’s answer on the official AMC 10 Answer Form using a #2 pencil. Ensure only properly marked answers are used for grading.

What is the scoring rule for correct, incorrect, and unanswered questions?

Students receive 6 points for each correct answer, 1.5 points for each problem left unanswered, and 0 points for each incorrect answer.

Are calculators or other aids allowed during the contest?

No aids are permitted other than scratch paper, graph paper, a ruler, compass, protractor, and erasers. Calculators are not allowed, and the problems do not require calculators.

Sep 29, 2026

Uploaded by Aria Callaghan