for Elementary & Middle Schools Mathematical Olympiads November 18, 2014 Copyright © 2014 by Mathematical Olympiads for Elementary and Middle Schools, Inc. All rights reserved. 1A Time: 3 minutes What is the value of N that makes the sentence true? 1 + 2 + 3 + 4 + 5 + 6 = 3 × N 1B Time: 5 minutes Pascal's Triangle is shown here. The first and last number in each row is 1. Each of the other numbers is the sum of the two numbers diagonally above it, as shown by the arrows. Five rows are shown. If the pattern is continued for two more rows, what is the sum of all seven numbers in that row? 1C Time: 5 minutes In a class of 27 students, 16 like video games and 20 like cartoons. If 12 students like both video games and cartoons, how many students do not like either? 1D Time: 5 minutes Two 9 cm x 13 cm rectangles overlap as shown to form a 9 cm x 22 cm rectangle. What is the area of the overlapping rectangular region? 1E Time: 7 minutes The following three statements are true: Δ+Δ+◊ = 18 ◊+◊+⌂ = 22 ⌂+⌂+ Δ = 17 What is the value of Δ+◊+⌂ ? Please fold over on line. Write answers on back. 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1
