NATIONAL SENIOR CERTIFICATE GRADE 12 MATHEMATICS P1 NOVEMBER 2008 MARKS: 150 TIME: 3 hours This question paper consists of 10 pages‚ an information sheet and 2 diagram sheets. Copyright reserved Please turn over Mathematics/P1 2 NSC DoE/November 2008 INSTRUCTIONS AND INFORMATION Read the following instructions carefully before answering the questions. 1. 2. 3. 4. 5. 6. This question paper consists of 11 questions. Answer ALL the questions. Clearly show ALL calculations
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Version 1.0 abc General Certificate of Secondary Education Mathematics 4360 Unit 3 Foundation Tier 43603F Mark Scheme Specimen Paper Mark Schemes Principal Examiners have prepared these mark schemes for specimen papers. These mark schemes have not‚ therefore‚ been through the normal process of standardising that would take place for live papers. Further copies of this Mark Scheme are available to download from the AQA Website: www.aqa.org.uk Copyright © 2009 AQA and its licensors
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SPM(U) 2006 : http://mathsmozac.blogspot.com Section A [52 marks] Answer all questions in this section. 1 The Venn diagram in the answer space shows sets P‚ Q and R such that the universal set‚ ξ = P ∪ Q ∪ R . On the diagram in the answer space‚ shade (a) the set P ∪ R ‚ (b) the set (P ∩ R ) ∪ Q ’ . [3 marks] Answer: (a) P Q R (b) P R Q 2 Diagram 1 shows a solid cuboid. A cone is removed from this solid. 12 cm 10 cm 15 cm DIAGRAM 1 The diameter of the base of the cone is 7 cm
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it has started wars‚ and it has led man to his ultimate control of his environment 1 I shall examine the causes and developments of mathematics. Starting with early Egypt and Babylon‚ then on to classical Greece‚ and finally the 17th century through modern times; I will trace the need and development of mathematics. "Priority in the development of mathematics belongs to Babylon‚ where ancient land numeration‚ algebra‚ and geometry methods existed at least from the Hammurabi dynasty‚ around
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John has $20‚000 to invest. He invests part of his money at an annual interest rate of 6%‚ the rest at 9% annual rate. The return on these two investments over one year is $1‚440. How much does he invest at each rate? Solution Paul made two investments totaling $15‚000. The percentage return on the first investment was 7% annually‚ while the the percentage return on the second one was 10% annually. If the total return on the two investments over one year was $1‚350‚ how much was invested
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Teaching is described by different teachers in various ways and one which made an impact to me is that‚ “Teaching is the noblest of all profession”. My cousin‚ Ms. Gertrudes is now a mathematics teacher in Muntinlupa city. We studied in the same university where we shared together many great things including teaching. According to her‚ teaching is the most noble among all the professions since all professionals underwent education with a teacher. Through the internet I arranged an interview with
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liberal arts. 1.1.1 Have background in basic subject areas: the arts‚ humanities‚ mathematics‚ and sciences‚ and have a broad understanding of the major cultures‚ religions‚ geography‚ political systems‚ philosophies‚ and economic systems by which people organize their lives. 1.1.2 Know and appreciate the great creative works of world cultures. 1.2 Subject-area Content. Teachers know the content appropriate to their teaching specialty and the relevant applications of this content. 1.2.1 Know their subjects
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CONTENTS INTRODUCTION……………………………………………………………………. CHAPTER I: STRATEGIES OF TEACHING WRITING SKILLS…………………… 1. COPYING………………………………………………………………………… 2. DICTATION………………………………………………………………………… 3. WRITING SENTENCES ON A GIVEN PATTERN……………………………… 4. WRITING ANSWERS TO GIVEN QUESTIONS…………………………………… 5. TEACHING COMPOSITIONS ………………………………………………… CHAPTER II: DIFFICULTIES PUPILS COME ACROSS WHILE ACQUIRING WRITING 2.1. CORRECTION OF MISTAKES……………………………………………… 2.2. ANALYSIS
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Geometric mean From Wikipedia‚ the free encyclopedia Jump to: navigation‚ search The geometric mean‚ in mathematics‚ is a type of mean or average‚ which indicates the central tendency or typical value of a set of numbers. It is similar to the arithmetic mean‚ which is what most people think of with the word "average‚" except that instead of adding the set of numbers and then dividing the sum by the count of numbers in the set‚ n‚ the numbers are multiplied and then the nth root of the resulting
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Essay - narrative It is impossible to teach someone‚ that does not want to learn. Many kids fail school for not wanting to learn‚ even if they have a great education. They do not appreciate the great education they have. This kids don’t have a motivation and they reject all the information that is given to them. Well‚ my cousin is one of this kids and some years ago my aunt asked me to help him. I tried everything to help him many times‚ but nothing worked. Until one day I found the way he
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