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The publication, reproduction or communication of the problems or solutions of the AMC 10 during the period when students are eligible to participate seriously jeopardizes the integrity of the results. Dissemination via copier, telephone, e-mail, World Wide 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.
Mock 2018 AMC 10B Problems 2 1. Compute (1)(10)+(2)(9)+(3)(8)+· · ·+(8)(3)+(9)(2)+(10)(1). (A)110(B)152(C)177(D)200(E)220 2. How many integersxsatisfy the equation(2x-x2)(3x-x3)(5x-x5) = 0? 3. What is the value of11·2·3+12·3·4+13·4·6+14·6·12? 4.A regular polygon isbalancedif the number of diagonals is nogreater than twice the number of sides. How many regular polygonsare balanced? 5.Letfbe a function such that for all real numbersx,f(x) =x2+ 6x-10. There exists some real numberrsuch thatf(r-1) =f(r+ 1). What isf(r)? (A)-25(B)-19(C)-16(D)-9(E)-3 6.Charlie bought a ticket for the New Year lottery.All ticketsare associated to a three-digit number going from 000 to 999. Char-lie forgot his ticket number, however he remembers that it had atleast a 0 and at least a 1, and that it was divisible by 5. How manyticket numbers could be his? **Administration On An Earlier Date Will Disqualify Your Schools Results** 1. All information (Rules and Instructions) needed to administer this exam is contained in the TEACHERS MANUAL, which is outside of this package. PLEASE READ THE MANUAL BEFORE JANUARY 1, 2018. Nothing is needed from inside this package until JANUARY 1. 2. Your PRINCIPAL or VICE-PRINCIPAL must verify on the AMC 10 CERTIFICATION FORM (found in the Teachers Manual) that you followed all rules associated with the con- duct of the exam. 3. The Answer Forms must be submitted through the Google Form provided no later than January 8. 4. The publication, reproduction or communication of the prob- lems or solutions of this test during the period when students are eligible to participate seriously jeopardizes the integrity of the results. Dissemination at any time via copier, telephone, email, internet or media of any type is a violation of the com- petition rules.

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• Fall '19
• International Mathematical Olympiad, American Mathematics Competitions, American Invitational Mathematics Examination

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