2000 AMC 8 Sample Questions
5. Each principal of Lincoln High School serves exactly one 3-year term. What is the maximum number of principals this school could have during an 8-year period?
(A) 2 (B) 3 (C) 4 (D) 5 (E) 6
8. Three dice with faces numbered 1 through 6 are stacked as shown. Seven of the eighteen faces are visible, leaving eleven faces hidden (back, bottom, between). The total number of dots NOT visible in this view is
(A) 21 (B) 22 (C) 31 (D) 41 (E) 53
10. Ara and Shea were once the same height. Since then Shea has grown 20% while Ara has grown half as many inches as Shea. Shea is now 60 inches tall. How tall, in inches is Ara now?
(A) 48 (B) 51 (C) 52 (D) 54 (E) 55
13. In triangle CAT, we have angle ACT = angle ATC and angle CAT = 36°. If TR bisects angle ATC, then angle CRT =
(A) 36° (B) 54° (C) 72° (D) 90° (E) 108°
24. If angle A = 20° and angle AFG = angle AGF, then angle B + angle D =
(A) 48° (B) 60° (C) 72° (D) 80° (E) 90°
SPONSORING ORGANIZATIONS
Mathematical Association of America
The Akamai Foundation
University of Nebraska--Lincoln
Contributors
Society of Actuaries
Mu Alpha Theta
National Council of Teachers of Mathematics
Casualty 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
Kappa Mu Epsilon
INFORM
Answers: 5. (C), 8. (D), 10. (E), 13. (C), 24. (D)
2001-2002 Publications
2001 AMC 8 Brochure
2002 AMC 10 & AMC 12 Brochure
This page was last revised 7/12/01.