2005 AMC8.docx

2005 AMC8 Problem 1 Connie multiplies a number by 2 and gets 60 as her answer. However, she should have divided the number by 2 to get the correct answer. What is the correct answer? Problem 2 Karl bought five folders from Pay-A-Lot ata cost of each. Pay-A-Lot had a 20%-off sale the following day. How much could Karl have saved on the purchase by waiting a day? Problem 3 What is the minimum number of small squares that must be colored black so that a line of symmetry lies on the diagonal of square ? Problem 4 A square and a triangle have equal perimeters. The lengths of the three sides of the triangle are cm, cm and cm. What is the area of the square in square centimeters? Problem 5 Soda is sold in packs of 6, 12 and 24 cans. What is the minimum number of packs needed to buy exactly 90 cans of soda? Problem 6 Suppose isa digit. For how many values of is? Problem 7 Bill walks mile south, then mile east, and finally mile south. How many miles is he, ina direct line, from his starting point? Problem 8 Suppose m and n are positive odd integers. Which of the following must also be an odd integer? Problem 9 In quadrilateral , sides and both have length 10, sides and both have length 17, and the measure of angle is. What is the length of diagonal ? Problem 10 Joe had walked half way from home to school when he realized he was late. He ran the rest of the way to school. He