SOUTH AFRICAN MATHEMATICS OLYMPIAD Organised by the SOUTH AFRICAN MATHEMATICS FOUNDATION 2012 FIRST ROUND SENIOR SECTION: GRADES 10‚ 11 AND 12 19 March 2012 Time: 60 minutes Number of questions: 20 Instructions 1. This is a multiple choice question paper. Each question is followed by answers marked A‚ B‚ C‚ D and E. Only one of these is correct. 2. Scoring rules: 2.1. Each correct answer is worth 5 marks. 2.2. There is no penalty for an incorrect answer or any unanswered question. 3. You
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Topic 1- Mathematics and Certainty Having said something about the nature of formal systems‚ we must now look in more detail at the nature of mathematical certainty. To do this‚ let us begin by making two distinctions. The first concerns the nature of propositions. An analytic proposition is one that is true by definition. A synthetic proposition is any proposition that is not analytic. So we can say that every proposition is either analytic or synthetic. The second distinction concerns how we
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Women in Mathematics Every human is created with a gift of some sort. Whether it is an athletic ability‚ a wonderful singing voice‚ or an ability to relate to other individuals‚ every one has a special gifting. For many women in history‚ their ability was deciphering and understanding the intricacies of math. Although various cultures discouraged women mathematicians‚ these women were able to re-define the standards for women in this field of study. Hypatia of Alexandria was born in Roman Egypt
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com/od/Sustainability/a/How-We-Use-Water.htm Human Appropriation of the World ’s Fresh Water Supply Water Facts: Water. (n.d.). Water.org. Retrieved July 13‚ 2012‚ from http://water.org/water-crisis/water-facts/water/ Concern Worldwide The Use of Water Today. (2012‚ 07 13). Retrieved from The Use of Water Today: http://www.worldwatercouncil.org/fileadmin/wwc/Library/WWVision/Chapter2.pdf UNDP Human Appropriation of the World ’s Fresh Water Supply. (n.d.). The Global Change Program at the University
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Mathematics in Gaming: Understanding can help you win! Prafull S Chapate1 Vimaltai Tidke Convent‚ Narendranagar Nagpur-440027‚ Maharashtra‚ India Abstract In this paper‚ we present you detail relationship between mathematics and some of the games you encountered in your daily life. Mathematical knowledge of these games gives you an edge over your mathematically ignorant opponent and who knows may help you win the game and money. 1. Introduction For entertainment many people play
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The Mathematics for Essay 2 The purpose of these notes are to explain some of the mathematics behind Essay 2. Your own essay should not just repeat these arguments but have a more geometric flavor. Write about how you can physically place the blocks. You may assume basic facts about geometric sums and series. Let r be any real number and let n be a non-negative integer. The sum 1 + r + r2 + · · · + rn (1) is a geometric sum and the infinite series 1 + r + r2 + · · · + rn + · · · (2)
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Introduction Mathematics is an indispensable subject of study. It plays an important role in forming the basis of all other sciences which deal with the material substance of space and time. What is Mathematics? Mathematics may be described as the fundamental science. It may be broadly described as the science of space‚ time and number. The universe exists in space and time‚ and is constituted of units of matter. To calculate the extension or composition of matter in space and time and to
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Kyle Smith Math 1332 Fall 2011 McCullough-Pannell How Mathematics is used in Firefighting Math is used extensively in firefighting‚ partly because firefighters have so many jobs to do in the course of their work. As a volunteer firefighter‚ I have seen mathematics used in many areas of firefighting. If you don’t have a solid background in math‚ especially algebra‚ you will struggle to pass the required exams and have a hard time getting
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Alexis Sorensen Kant Final James Griffith 1:30-3:00(T/TH) 11/17/12 Pure Mathematics Immanuel Kant‚ a Prussian philosopher during the 1700s‚ examined the basis of human knowledge and its existence. Through rationalism and empiricism‚ Kant developed an individual model that supported the concept of pure mathematics. Kant’s logic allowed him to prove concepts that appeared unable to be proven. Pure mathematics‚ as an a priori cognition‚ can be considered to be an example of a concept that may
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Different sections of the library 1.Acquisition Section - The objectives of the Acquisition are Selection ‚ Ordering and Accessioning of books in Accession Registers. The library procures those books which are recommended by the teachers / Scientists of the university. Further Chief Librarian also takes initiative in selecting books of general nature and text books. The list of recommended books is placed before the Primary Purchase Committee (PPC) exclusively for selection of books and periodicals
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