Canada National Olympiad 2008 1 ABCD is a convex quadrilateral for which AB is the longest side. Points M and N are located on sides AB and BC respectively, so that each…

This page intentionally left blank Elementary number theory in nine chapters JAMES J. TATTERSALL caxniioci uxiviisir\ iiiss Cambridge, New York, Melbourne, Madrid, Cape Town,…

University of Chicago “A Textbook for Advanced Calculus” John Boller and Paul J. Sally, Jr. 2 Chapter 0 Number Systems and Cardinality Dans la pr´ esente Note, on va…

Chapter 2 2.3 Since m is not a prime, it can be factored as the product of two integers a and b, m = a · b with 1 < a, b < m. It is clear that both a and b are in…

Contents 1 International Mathematics Olympiad 8 1.1 1 st IMO, Romania, 1959 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 1.2 2 nd IMO, Romania, 1960 . . . .…

GRE Advanced GRE Math Questions GRE 1. What is the sum of all integers x , such that −37 < x ≤ 35 ? (A) –73 (B) –37 (C) –36 (D) 36 (E) 37 Quantitative – Arithmetic…

GRE Advanced GRE Math Questions GRE 1. What is the sum of all integers x , such that −37 < x ≤ 35 ? (A) –73 (B) –37 (C) –36 (D) 36 (E) 37 Quantitative – Arithmetic…

Choose the correct answer. Q10. Three different containers contain 496 liters, 403 liters and 713 liters of mixtures of milk and water respectively. What biggest measure…

INDEX 24 April 2011 12:48 1. 2. 3. 4. Discrete time Fourier Series Determination of Fourier series representation of a periodic signal Fourier series coefficients Techniques…

SENIOR QUIZ The Mathematical Crusade 2011 PROBLEMS Round 1 Q1. A coin is flipped, a 6-sided die numbered through 6 is rolled, and a 10-sided die numbered 0 through 9 is…