2008 H I G H E R S C H O O L C E R T I F I C AT E E X A M I N AT I O N Mathematics General Instructions • Reading time – 5 minutes • Working time – 3 hours • Write using black or blue pen • Board-approved calculators may be used • A table of standard integrals is provided at the back of this paper • All necessary working should be shown in every question Total marks – 120 • Attempt Questions 1–10 • All questions are of equal value 212 BLANK PAGE – 2 – Total marks – 120
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Discuss the cause of the Tacoma bridge disaster‚ in terms of waves‚ vibrations‚ and resonance. Elaborate the effects with relevant equations and formulae. The Tacoma bridge collapse can be attributed to the waves caused by the buildup of energetic vibrations. These energetic vibrations were built up from the bridge “taking energy from the steadily blowing wind” (Crowell). Eventually enough of these energetic vibrations built up to cause resonance within the system‚ causing the wave-like motion
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Mathematics is highly valued in our society but for many students the thought of learning mathematics is daunting. Learning mathematics in primacy school may have been a positive experience but it may have also been filled with frustration and anxiety. If a teacher has a negative view of mathematics then their students will adopt this view. Students must be shown the relevance and purpose of mathematics in a real life and meaningful way. There is no doubt that mathematics is an indispensable tool
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Geometry PJ Architecture and Geometry Architecture and geometry are perfect complements of each other they go hand to hand in so many ways let’s discuss some of these ways. Architecture has geometry written all over it if geometry never existed Architecture wouldn’t have existed either. First of all geometry is the reason that we can calculate and measure the sizes and shapes of certain structures for us to use. Geometry allows us pin point exactly how much more we may need or less ‚ without
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Puzzle: Who Got More? Mrs Mess was buying a set of garden furniture. The bill was seventy rupees. She gave the attendant what she thought were two ₹50 notes‚ (actually two ₹100 notes). The attendant was sleepy and didn’t notice either‚ so he gave Mrs Mess what he thought were three ₹10 notes (actually three ₹50 notes). Who ended up better off than they should? Solution: Mrs Mess comes away better off than she should‚ by ₹20 in fact. Despite the warning in the title‚ Mrs Mess did pay
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5 Analyzing financial statements using ratios 0011 0010 1010 1101 0001 0100 1011 Generally there are two approaches in analyzing financial statements by use of ratios: 1. Common size percentages – where a key item in the financial statements is identified and then all the other items are expressed as a percentage of the item. 1 Accounting and Reporting II 1 1.4 Analyzing financial statements using ratios 0011 0010 1010 1101 0001 0100 1011 Common size percentage can be applied as follows:
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Before Reading Math and After Math Essay by Lensey Namioka What are you really GOOD at? RI 1 Cite textual evidence to support analysis of what the text says explicitly as well as inferences drawn from the text. RI 2 Determine a central idea of a text and analyze how it emerges and is shaped and refined by specific details. RI 3 Analyze how the author unfolds a series of ideas or events. RI 4 Determine the meaning of words as they are used in a text. L 5 Demonstrate understanding of word relationships
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MATH AND FIGURE SKATING Alexis Dillon I. Introduction This paper will be discussing the involvement of math in figure skating. There are three parts of skating that will be discussed in the essay; jumps and moves in the field. Jumps require a lot of power‚ strength and knee bend in order for the jump to be successful. I will be looking at the appropriate angle of knee bend a skater needs to successfully land a jump. Moves in the field are series of test that include certain turns
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Answers Chapter 1 c i No x-intercept‚ y = 4 iii y Pre-test 1 a 2x + 1 1 3 c x+ x= x 2 2 f 3x − 7 b 5(x − 1) 1 (x + 4) 3 -5ab -21x -4x + 4 3 ii 0 y=4 d 2x − 3 e a a a a 7x 8y 3x + 3 4m b b b b 6a 7 6 b 7 12 9 a 3 b -2 c 1 10 a y = 2x + 1 b y = -x + 5 c 4 7 d 19 72 Exercise 1A f 21 20 2 3 4 5 4 e 7 c c c c -5x 2 15a 2 -10x + 2x 2 a (0‚ 4) d g c 10 ii
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The Oriental Mathematics : Practical Arithmatic and Mensuration ¢º Characteristic of Orient Mathematics | ¢º Babylonian Mathematics | ¢º Egyptian Mathematics | ¢º Marking of Number | | ¡Ý The Egytian Hieroglyphic | | ¡Ý The Babylonian Cuneiform | | ¡Ý The Mayan Numeral System | | ¡Ý The Roman Numeral System | | ¡Ý The Hindu - Arabic Numeral Systern | ¡ß Characteristic of Orient Mathematics In the Nile in Africa‚ the Tigris and Euphrates in western Asia‚ the Indus and
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