Download [PDF] 2020 MOEMS Division M Problems

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[PDF] 2020 MOEMS Division M Problems.pdf | Plain Text

for Elementary & Middle Schools Mathematical Olympiads December 14, 2020 Copyright © 2020 by Mathematical Olympiads for Elementary and Middle Schools, Inc. All rights reserved. Name: ____________________________________________________ . divisible by 11. 2C A triangle is inscribed in a rectangle if each vertex of the triangle lies on a side of or at a vertex of the rectangle. This diagram shows shaded triangle ACE inscribed in rectangle ABDE. Find the number of square units in the area of shaded triangle ACE, if the area of the rectangle is 13.5 square units. not have a pen or pencil in your hand while the PICO reads the set of questions to the class. Calculators are not permitted. All work is to be done on the pages provided. Answers must be placed in the corresponding boxes in the answer column. AC D B E

Answer Column 2A 2B 2C 2D 2E Do Not Write in this Space. For PICO’s Use Only. SCORE: – Page may be fold ed along dotted line. – – Page may be folded along dotted line. – Name: __________________________________________________________________ figures? 2E Given M and N are whole numbers. Find the greatest value of the product M  N such that each of the following is true: (1) M  N < 98 (2) M has exactly 2 factors (3) N has exactly 3 factors (4) M and N are relatively prime (That means they have no common factors other than 1.)